Temperature limited heaters for heating subsurface formations or wellbores

FIELD OF THE INVENTION

This invention relates, in General, to methods and systems for heating various underground formations. Some embodiments relate to methods and systems for using temperature limited heaters to heat subterranean formations, including hydrocarbon containing formations, or wells.

State of the art

Hydrocarbons mined from underground (e.g., sedimentary) formations are often used as energy resources, raw materials and as consumer products. Concern over the depletion of available hydrocarbon reserves and a general decrease in the quality of produced hydrocarbons has led to the development of processes for more efficient extraction, processing and / or use of available hydrocarbon reserves. In-situ processes can be used to extract hydrocarbon materials from underground formations. The chemical and / or physical properties of the hydrocarbon material within the subterranean formation sometimes need to be changed to allow easier extraction of the hydrocarbon material from the subterranean formation. Chemical and physical changes may include in-situ reactions that create removable fluids, change composition, change solubility, change phases and / or change the viscosity of the hydrocarbon material within the formation. The fluid may be, but is not limited to, a gas, liquid, emulsion, suspension and / or solid particle stream that has flow characteristics similar to a liquid stream.

A heating source may be used to heat the subterranean formation. To heat underground formations using radiation and / or conductivity, electric heaters can be used. The electric heater can be resistively heated using an element. In US patent No. 2548360, issued to Germain, describes an electric heating element placed inside a viscous oil inside a well. A heating element heats and liquefies the oil to allow oil to be pumped out of the well. US Pat. No. 4,716,960 to Eastlund et al. Describes the electrical heating of an oil well tubing by passing a relatively low voltage current through the tubing to prevent the formation of solid materials. US Pat. No. 5,065,818 to Van Egmond describes an electric heating element that is cemented into a test well without a sheath surrounding the heating element.

US Pat. No. 6,023,554 to Vinegar et al. Describes an electric heating element that is located in a shell. The heating element creates radiation energy that heats the shell. A granular solid filler material may be located between the shell and the formation. The shell due to the conductivity can heat the filling material, which, in turn, due to the conductivity heats the formation.

US Pat. No. 4,570,715 to Van Meurs et al. Describes an electric heating element. The heating element has an electrically conductive core, a surrounding layer of insulating material and a metal casing surrounding it. The conductive core may have a relatively low resistance at high temperatures. The insulation material may have electrical resistance, compressive strength, and heat-conducting properties that are relatively high at high temperatures. Insulation material can inhibit the formation of an electric arc from the core to the metal casing. The metal casing may have tensile strength and creep resistance, which are relatively large at high temperatures.

US Pat. No. 5,060,287 to Van Egmond describes an electric heating element having a copper-nickel alloy core.

Significant efforts have been made to develop methods and systems for the economical production of hydrocarbons, hydrogen and / or other products from hydrocarbon containing formations. However, at present, there are still hydrocarbon containing formations from which it is not economically feasible to produce hydrocarbons, hydrogen and / or other products. Thus, there is still a need for improved methods and systems for producing hydrocarbons, hydrogen and / or other products from various hydrocarbon containing formations.

Disclosure of invention

In one embodiment, alternating electric current can be passed through one or more electrical conductors. Electrical conductors may be located underground or in an underground well. Electrical conductors can provide heat output due to electrical resistance after applying alternating electric current. At least one of the electrical conductors may include an electrically resistive ferromagnetic material. An electrically resistive ferromagnetic material can provide heating while passing an alternating current through an electrically resistive ferromagnetic material. An electrically resistive ferromagnetic material can provide a reduced amount of heat above or near a selected temperature. In some embodiments, the ferromagnetic material may automatically provide a reduced amount of heat above or near the selected temperature. In some embodiments, the selected temperature is approximately equal to the Curie electr

- 1 009586 purely resistive ferromagnetic material. In one embodiment, heat is transferred from the electrically resistive ferromagnetic material to a portion of an underground formation or underground well.

Brief Description of the Drawings

Advantages of the invention will follow for those skilled in the art from the following detailed description of embodiments with reference to the drawings, in which: FIG. 1 is a step of heating a hydrocarbon containing formation;

FIG. 2 is a diagram of an embodiment of a portion of an in-situ conversion system for treating a hydrocarbon containing formation;

FIG. 3 is an embodiment of a heat source in the form of an insulated conductor;

FIG. 4 is an embodiment of a conductor type heat source in a channel in a formation;

FIG. 5, 6 and 7 are a sectional view of an embodiment of a temperature limited heater with an outer conductor having a ferromagnetic section and a non-ferromagnetic section;

FIG. 8, 9, 10, and 11 are a sectional view of an embodiment of a temperature limited heater with an outer conductor having a ferromagnetic section and a non-ferromagnetic section located inside the casing;

FIG. 12, 13 and 14 are a sectional view of an embodiment of a temperature limited heater with a ferromagnetic outer conductor;

FIG. 15, 16 and 17 are a sectional view of an embodiment of a temperature limited heater with an outer conductor;

FIG. 18, 19, 20 and 21 is a sectional view of an embodiment of a temperature limited heater;

FIG. 22, 23 and 24 are a sectional view of an embodiment of a temperature limited heater with a general purpose data network with a section and a heating section passing through the coating layer;

FIG. 25 is an embodiment of a connecting section of a composite electrical conductor; FIG. 26 is an embodiment of a connecting section of a composite electrical conductor; FIG. 27 is an embodiment of a connecting section of a composite electrical conductor; FIG. 28 is an embodiment of a heater with an insulated conductor;

FIG. 29 is an embodiment of a heater with an insulated conductor;

FIG. 30 is an embodiment of a heater with an insulated conductor located in a channel;

FIG. 31 is an embodiment of a temperature limited heater with a low temperature ferromagnetic outer conductor;

FIG. 32 is an embodiment of a temperature limited heater of the conductor type in the channel;

FIG. 33 is a sectional view of an embodiment of a temperature limited conductor type heater in a channel;

FIG. 34 is a sectional view of an embodiment of a temperature limited heater of the type insulated conductor in a channel;

FIG. 35 and 36 are a sectional view of an embodiment of a temperature limited heater that includes an insulated conductor;

FIG. 37 and 38 are a sectional view of an embodiment of a temperature limited heater that includes an insulated conductor;

FIG. 39 is an embodiment of a temperature limited heater with current return through a formation;

FIG. 40 is an embodiment of a three-phase temperature limited heater with current connection through a formation;

FIG. 41 is an embodiment shown in FIG. 40, in a plan view;

FIG. 42 is a plot of electrical resistance versus temperature for various supplied electric currents for a 446 stainless steel rod;

FIG. 43 - dependence of electrical resistance on temperature at various values ​​of the supplied electric current for a temperature limited heater;

FIG. 44 is a plot of power versus temperature for various supplied electric currents for a temperature limited heater;

FIG. 45 is a plot of electrical resistance versus temperature for various supplied electric currents for a temperature limited heater;

FIG. 46 shows the temperature dependence of the thickness of the skin layer for a solid 410 stainless steel rod with a diameter of 1 inch (25.4 mm) for various values ​​of the supplied alternating electric current;

FIG. 47 is a plot of temperature versus time for a temperature limited heater;

FIG. 48 is a plot of temperature versus time on a logarithmic scale for a 410 stainless steel rod and a 304 stainless steel rod;

FIG. 49 is the temperature of the central conductor of the conductor-type heater in the channel, depending on the formation depth for a heater with a Curie temperature with a reduction ratio of 2: 1;

FIG. 50 — corresponding heater heat flux through the formation for a 2: 1 reduction ratio

- 2 009586 together with the oil content profile in the shale;

FIG. 51 - heater temperature depending on the formation depth for a reduction ratio of 3: 1;

FIG. 52 is a corresponding heat flow of a heater through a formation for a reduction ratio of 3: 1 together with a profile of oil content in shale;

FIG. 53 - the temperature of the heater depending on the depth of the reservoir for a reduction ratio of 4: 1.

Although various modifications and alternative embodiments are possible, the drawings show specific embodiments as examples, the description of which is given below. Drawings may not scale. However, it should be noted that the drawings and their detailed description should not limit the invention to the disclosed particular embodiments, but, on the contrary, the invention covers all modifications, equivalents and alternatives included in the idea and scope of the invention defined by the attached claims.

The implementation of the invention

The following description relates generally to systems and methods for treating a hydrocarbon containing formation (e.g., a coal containing formation (including lignite, sapropelite, etc.), oil shale, carbon shale, shungite, kerogen, bitumen, oil, kerogen and oil in a matrix with low permeability, heavy hydrocarbons, asphalts, natural mineral waxes, formations in which kerogen blocks the production of other hydrocarbons, etc.). Such formations can be processed to produce relatively high quality hydrocarbon products, hydrogen and other products.

Hydrocarbons mean, in general, molecules formed mainly by carbon and hydrogen atoms. Hydrocarbons may also contain other elements, such as, but not limited to, halogens, metal elements, nitrogen, oxygen and / or sulfur. Hydrocarbons can be, but are not limited to, kerogen, bitumen, pyrobitumen, oil, natural mineral waxes and asphalts. Hydrocarbons can be located inside or adjacent to mineral matrices inside the earth. Matrices may include, but are not limited to, sedimentary rock, sands, silicites, carbonates, diatomites and other porous media. Hydrocarbon fluids are fluids that contain hydrocarbons. Hydrocarbon fluids may include, entrain or be carried away by non-hydrocarbon fluids (e.g., hydrogen (H₂), nitrogen (Ν₂), carbon monoxide, carbon dioxide, hydrogen sulfide, water and ammonia).

The formation includes one or more hydrocarbon containing layers, one or more non-hydrocarbon layers, a cover layer and / or an underburden. The covering layer and / or the underlying layer include one or more types of impermeable materials. For example, the overburden and / or underlying layer may include rock, shale, mudstone, or wet / dense carbonate (i.e., impermeable carbonate without hydrocarbons). In some embodiments of the in-situ conversion process, the overburden and / or underlying layer may include a hydrocarbon-containing layer or hydrocarbon-containing layers that are relatively impermeable and not exposed to temperature during the conversion process, which leads to a significant change in the performance of the hydrocarbon-containing layers of the overburden and / or the underlying layer. For example, the underlying layer may contain shale or mudstone. In some cases, the overburden and / or underburden may be somewhat permeable.

The terms formation fluids or produced fluids refer to fluids removed from a hydrocarbon containing formation and may include pyrolysis fluid, synthesis gas, mobile hydrocarbon, and water (steam). The term moving fluid refers to fluids within a formation that are capable of flowing as a result of heat treatment of the formation. Formation fluids may include hydrocarbon fluids as well as non-hydrocarbon fluids.

A heat source is any system for providing heating of at least a portion of a formation, essentially through heat transfer via conductivity and / or radiation.

A heater is any system for generating heat in a well or in an area near a well. Heaters may include, but are not limited to, electric heaters, burners, combustion chambers that react with material within the formation or produced from the formation (e.g., natural distributed furnaces), and / or combinations thereof. A heat source block refers to several heat sources that form a group that repeats to create a pattern of heat sources within the formation.

The concept of a well refers to a hole in a formation made by drilling or introducing a channel into the formation. The well may have a substantially circular cross-section or other cross-sectional shapes (e.g., circular, oval, rectangular, triangular, slotted, or other regular or irregular shapes). In this description, the concepts of well and hole, when they refer to a hole in the formation, can be used with the replacement of the concept of well.

An insulated conductor refers to any elongated material that is capable of conducting electricity and which is coated, partially or completely, with electrically insulating material. The term self-management refers to controlling the output of a heater without any external control of any type.

Pyrolysis fluids or pyrolysis products refer to fluids produced essentially

- 3 009586 wu, during the pyrolysis of hydrocarbons. Fluids produced by pyrolysis reactions can mix with other fluids in the formation. The mixture is considered a pyrolysis fluid or a pyrolysis product. As used herein, a pyrolysis zone refers to a volume of a formation (e.g., relative to a permeable formation, such as a tar sands formation) that is reacted or reacted to form a pyrolysis fluid.

Condensable hydrocarbons are hydrocarbons that condense at 25 ° C and an absolute pressure of 1 atm. Condensable hydrocarbons may include a mixture of hydrocarbons having a carbon number of more than 4. Non-condensable hydrocarbons are hydrocarbons that do not condense at 25 ° C. and an absolute pressure of 1 atm. Non-condensable hydrocarbons may include a mixture of hydrocarbons having a carbon number of less than 5.

Hydrocarbons in formations can be treated in various ways to produce many different products. In some embodiments, such formations may be treated in several stages. In FIG. 1 shows several stages of heating a hydrocarbon containing formation. In FIG. one also shows an example of production (in barrels of oil equivalent per tonne) (along the y axis) of the formation fluid from the hydrocarbon containing formation, depending on the temperature (in ° C) (along the x axis) of the formation (when the formation is heated at a relatively low speed).

Methane desorption and water evaporation occur during heating stage 1. The heating of the formation in stage 1 can be carried out as quickly as possible. For example, upon initial heating of a hydrocarbon containing formation, hydrocarbons in the formation may desorb adsorbed methane. Desorbed methane can be extracted from the reservoir. If the hydrocarbon containing formation is further heated, then the water contained within the hydrocarbon containing formation may evaporate. Water may occupy in some hydrocarbon containing formations between about 10 and about 50% of the pore volume in the formation. In other formations, water may occupy larger or smaller parts of the pore volume. Water usually evaporates in the formation at temperatures between about 160 and about 285 ° C and at pressures from about 6 to about 70 bar (absolute value). In some embodiments, evaporated water may cause a change in wettability in the formation and / or an increase in pressure of the formation. Changes in wettability or elevated pressure can affect pyrolysis reactions or other reactions in the formation. In some embodiments, evaporated water may be produced from the formation. In other embodiments, evaporated water may be used to isolate and / or steam distillate in the well or outside the well. Removing water and increasing pore volume in the formation can increase the storage space for hydrocarbons within the pore volume.

After the heating step 1, the formation can be heated further, so that the temperature inside the formation reaches (at least) the initial pyrolysis temperature (for example, the temperature at the lower end of the temperature range shown as stage 2). During stage 2, pyrolysis of hydrocarbons within the formation may occur. The pyrolysis temperature range may vary depending on the type of hydrocarbon within the formation. The pyrolysis temperature range may include temperatures between about 250 and about 900 ° C. The pyrolysis temperature range for the extraction of the desired products can extend only in part of the full pyrolysis temperature range. In some embodiments, the pyrolysis temperature range for producing the desired products may include temperatures between about 250 and about 400 ° C. If the temperature of hydrocarbons in the formation is slowly raised in the temperature range from about 250 to about 400 ° C, then the creation of pyrolysis products can be essentially completed when the temperature approaches 400 ° C. Heating a hydrocarbon containing formation with several heat sources can create temperature gradients around heat sources that slowly increase the temperature of the hydrocarbons in the formation in the pyrolysis temperature range.

In some in-situ conversion embodiments, the hydrocarbons to be pyrolyzed can not be subjected to a slow temperature increase in the pyrolysis temperature range from about 250 to about 400 ° C. Hydrocarbons in the formation can be heated to the desired temperature (for example, about 325 ° C). Other temperatures may be selected as desired temperatures. The application of heat from heat sources can achieve the desired temperature in the formation relatively quickly and efficiently. The introduction of heat into the formation from heat sources can be adjusted to maintain the temperature in the formation at substantially the desired temperature. Hydrocarbons can be maintained essentially at the desired temperature until the pyrolysis decreases, and the production of the desired fluids from the formation becomes uneconomical.

Formation fluids, including pyrolysis fluids, may be produced from the formation. Pyrolysis fluids may include, but are not limited to, hydrocarbons, hydrogen, carbon dioxide, carbon monoxide, hydrogen sulfide, ammonia, nitrogen, water, and mixtures thereof. As the temperature of the formation increases, the amount of condensable hydrocarbons in the produced fluids of the formation tends to decrease. At high temperatures, mainly methane and / or hydrogen can be extracted from the formation. If a hydrocarbon containing formation is heated over the entire pyrolysis range, then only small amounts of hydrogen can be produced from the formation near the upper limit of the pyrolysis range. After depletion of all available hydrogen, a minimum amount of fluid is typically produced from the formation.

After the pyrolysis of hydrocarbons, a large amount of carbon and a certain amount of hydrogen are all

- 4 009586 are still present in the formation. A significant portion of the remaining carbon in the formation can be produced from the formation in the form of synthesis gas. Syngas generation can occur during stage 3 shown in FIG. 1. Stage 3 may include heating the hydrocarbon containing formation to a temperature sufficient to ensure the generation of synthesis gas. For example, synthesis gas can be produced within a temperature range of from about 400 to about 1200 ° C. The temperature of the formation, when the synthesis gas generating fluid is introduced into the formation, can determine the composition of the synthesis gas produced from the formation. If the synthesis gas generating fluid is injected into the formation at a temperature sufficient to ensure the generation of synthesis gas, synthesis gas may be generated within the formation. Generated synthesis gas can be removed from the formation through a production well or production wells. During the generation of the synthesis gas, a large volume of the generated synthesis gas can be produced.

In FIG. 2 shows a diagram of an embodiment of a portion of an in-situ conversion system for treating a hydrocarbon containing formation. Heat sources 100 may be located within at least a portion of the hydrocarbon containing formation. Heat sources 100 may provide heating for at least a portion of the hydrocarbon containing formation. Energy can be supplied to the heat sources 100 through the supply lines 102. The feed lines may have a different structure depending on the type of heat source or heat sources used to heat the formation. Supply lines for heat sources can transmit electrical energy to electric heaters, can transport fuel for furnaces, or they can transport heat-transfer fluid that circulates inside the formation.

Production wells 104 may be used to remove fluid from the formation. Formation fluid produced from production wells 104 can be transported through a manifold 106 to processing units 108. The formation fluids can also be extracted from sources of 100 heat. For example, it is possible to produce fluid from heat sources 100 to control pressure within the formation near heat sources. Fluid produced from heat sources 100 can be transported through pipes or pipelines to a manifold piping 106, or produced fluid can be transported through pipes or pipelines directly to treatment plants 108. Processing units 108 may include separation units, reaction units, quality improvement units, fuel cells, turbines, storage tanks, and other systems and units for processing produced formation fluids.

The in-situ conversion system for treating hydrocarbons may include barrier wells 110. In some embodiments, barriers can be used to prevent the migration of fluids (eg, generated fluids and / or groundwater) to and / or from the portion of the formation in which the in-situ conversion process is performed. Barriers may include, but are not limited to, naturally present parts (e.g., overburden and / or underburden), freeze wells, frozen barrier zones, low temperature barrier zones, cemented walls, sulfur wells, dewatering wells, injection wells, a barrier formed gel created in the reservoir, a barrier formed by the deposition of salts in the reservoir, a barrier formed by a polymerization reaction in the reservoir, sheets, introduced into the reservoir, or combinations thereof.

As shown in FIG. 2, in addition to heat sources 100, typically one or more production wells 104 may be located within a portion of a hydrocarbon containing formation. Formation fluids can be produced from production wells 104. In some embodiments, production well 104 may comprise a heat source. A heat source can heat parts of the formation at or near the production well and provide for removal of the vapor phase of the formation fluids. The need to pump high temperature fluids from a production well can be reduced or eliminated. Eliminating or restricting the pumping of high temperature fluids can significantly reduce the cost of production. Providing heating to or through a production well can: (1) inhibit the condensation and / or reflux of produced fluid when such produced fluid moves in the production well near the overburden, (2) increase heat input to the formation and / or (3) increase the permeability of the formation at or near a production well. In some embodiments of the in-situ conversion process, the amount of heat supplied to production wells is significantly less than the amount of heat supplied to heat sources that heat the formation.

An insulated conductor heater may be a heating element of a heat source. In one embodiment of the insulated conductor heater, the insulated conductor heater is a mineral insulated cable or rod. An insulated conductor heater may be placed in a hole in a hydrocarbon containing formation. An insulated conductor heater may be placed in an open hole in a hydrocarbon containing formation. Placing a heater with an insulated conductor in an open hole in a hydrocarbon containing formation may transfer heat from the heater to the formation using radiation as well as conductivity. Using an open hole may facilitate, if necessary, removing the heater from the well. Using an open hole can significantly

- 5 009586 reduce the cost of heating by eliminating the need for a part of the casing capable of withstanding high temperature conditions. In some embodiments of the heater, an insulated conductor heater may be placed inside the casing in the formation; it can be cemented inside the formation or it can be packaged in a hole with sand, gravel or other filler material. An insulated conductor heater may be supported by a support member located within the opening. The support member may be a cable, rod, or conduit (e.g., pipe). The support element may be made of metal, ceramic, inorganic material, or combinations thereof. Parts of the support member can be exposed to formation fluids and heat during use, so that the support member can be chemically stable and heat resistant.

Clamps, spot welding and other types of connections can be used to connect the heater with an insulated conductor to the support element at various places along the length of the heater with an insulated conductor. The support element may be attached to the wellhead on the upper surface of the formation. In one embodiment of an insulated conductor heater, an insulated conductor heater is provided with sufficient structural strength, so that there is no need for a support member. In many cases, an insulated conductor heater has some flexibility to prevent damage due to thermal expansion during heating or cooling.

In some embodiments, insulated conductor heaters may be located in wells without support elements and / or centralizers. An insulated conductor heater without support elements and / or centralizers may have a suitable combination of temperature and corrosion resistance, creep strength, length, thickness (diameter) and metal composition to prevent failure of the insulated conductor during use.

One or more insulated conductor heaters may be placed inside a hole in the formation to form a heater or heaters. Electric current can be passed through each heater with an insulated conductor in the hole for heating the formation. Alternatively, electric current can be passed through selected heaters with an insulated conductor in the hole. Unused conductors may be spare heaters. Insulated conductor heaters may be electrically connected to an energy source in any conventional manner. Each end of the insulated conductor heater may be connected to a lead cable that passes through the wellhead. This configuration typically has a 180 ° bend (hairpin bend) or a bend located at the bottom of the heater. An insulated conductor heater that includes 180 ° bending or rotation does not require a lower end, however, bending or 180 ° rotation may mean electrical and / or structural attenuation of the heater. Insulated conductor heaters can be electrically connected to each other in series, in parallel or in combination in series and parallel. In some embodiments of the heaters, electric current can be passed through the heater conductor with an insulated conductor and returned through the shell of the heater with an insulated conductor.

In the embodiment of the heater shown in FIG. 3, three heaters 112 are electrically connected according to a three-phase star circuit with a power source. Insulated conductor heaters may not require bottom connections. As an alternative solution, all three conductors of a three-phase circuit can be connected to each other near the bottom of the heater opening. The connection can be made directly at the ends of the heating sections of the insulated conductor heaters or at the ends of the cold pins connected to the heating sections at the bottom of the insulated conductor heaters. The lower connections can be made using insulator filled and sealed enclosures or epoxy resin filled enclosures. The insulator may have the same composition as the insulator used for electrical insulation.

The three insulated conductor heaters shown in FIG. 3 can be connected to the support member 114 using centralizers 116. As an alternative, three insulated conductor heaters can be attached directly to the support pipe using metal clamps. Centralizers 116 may hold or inhibit the movement of heaters 112 with an insulated conductor on the support member 114. Centralizers 116 may be made of metal, ceramic, or combinations thereof. The metal may be stainless steel or any other type of metal capable of withstanding corrosive and hot conditions. In some embodiments, the centralizers 116 may be curved metal strips welded to the support member at a distance of approximately less than 6 m from each other. The ceramics used in the centralizers 116 may be, but not limited to, A1₂ABOUT₃, MDO or other insulator. Centralizers 116 can hold the position of insulated conductor heaters 112 on the support member 114, so that insulated conductor heaters are not allowed to move at insulated conductor heaters. Insulated conductor heaters 112 may also have some flexibility to withstand the expansion of the support member 114 during heating.

Support element 114, insulated conductor heater 112, and centralizers 116 may

- 6 009586 to be located in the hole 118 in the hydrocarbon layer 120. Insulated conductor heaters 112 may be connected to the bottom conductor connection 122 using a transition pin 124 with cold pins. The bottom conductor connection 122 may electrically connect the insulated conductor heaters 112 to each other. The bottom conductor connection 122 may include materials that are electrically conductive and do not melt at temperatures present in the hole 118. The cold pin adapter conductor 124 may be an insulated conductor heater having lower electrical resistance than an insulated conductor heater 112.

The lead wire (s) 126 may be connected to the wellhead 128 to supply electrical energy to the insulated wire heater 112. The lead conductor 126 may be made of a conductor with a relatively low electrical resistance, so that relatively little heat is generated when electric current passes through the lead conductor 126. In some embodiments, lead conductor 126 is a multi-strand copper cable with rubber or polymer insulation. In some embodiments, the lead-in conductor may be a mineral insulated conductor and a copper core. The lead conductor 126 may be connected to the wellhead 128 on the surface 130 through a sealing flange located between the overburden 132 and the surface 130. The sealing flange may prevent fluid from escaping from hole 118 to surface 130.

In some embodiments, reinforcing material 134 may protect the casing 136 in the overburden from the overburden 132. In one embodiment, the casing in the overburden is a 7.6 cm (3 inch) pipe of process 40. Reinforcing material 134 may include, for example, Portland cement of class C and H mixed with silica powder to improve high temperature performance, slag or silica powder and / or a mixture thereof (e.g. 1.58 g per cubic centimeter of slag / dioxide powder silicon). In some embodiments of the heater, reinforcing material 134 extends radially with a width of about 5 to about 25 cm. In some embodiments, reinforcing material 134 may extend radially with a width of about 10 to about 15 cm.

In certain embodiments, one or more channels may be provided to supply additional elements (e.g., nitrogen, carbon dioxide, reducing agents, such as a gas containing hydrogen, etc.) into the formation openings to release fluids and / or to pressure control. Formation pressures are usually maximum near heat sources. Providing equipment for controlling pressure in heaters may be useful. In some embodiments, the addition of a reducing reagent near a heat source helps to provide more favorable pyrolysis conditions (e.g., a greater partial pressure of hydrogen). Since permeability and porosity tend to increase more rapidly near a heat source, it is often optimal to add a reducing reagent near a heat source so that the reducing reagent can more easily move into the formation.

Channel 138 shown in FIG. 3 may be provided for adding gas from the gas source 140 through the valve 142 and to the bore 118. The channel 138 and the valve 144 may be used at different times to relieve pressure and / or control the pressure near the bore 118. It should be noted that any of these sources heat may also be provided with channels for supplying additional components, discharging fluids and / or pressure control.

As shown in FIG. 3, the support member 114 and the lead conductor 126 may be connected to the wellhead 128 on the formation surface 130. Surface conductor 156 may span reinforcing material 134 and connect to wellhead 128. Embodiments of surface conductor 156 may have an outer diameter of from about 10.16 to about 30.48 mm, for example, an outer diameter of about 22 cm. In some embodiments, surface conductors may extend to a depth of from about 3 to about 515 meters into the hole in the formation. Alternatively, the surface conductor may extend to a depth of about 9 m into the hole. Electric current can be supplied from a power source to an insulated conductor heater 112 to generate heat. For example, a voltage of about 330 V and a current of about 266 A can be supplied to an insulated conductor heater 140 to generate about 1150 W / m in an insulated conductor heater 140.

Heat generated by an insulated heater can heat at least a portion of the hydrocarbon containing formation. In some embodiments, heat may be transferred to the formation substantially by radiation. A certain amount of heat can be transferred through conduction or convection of heat due to the gases present in the hole. The hole may be an open hole. An open hole eliminates the costs associated with the thermal connection of the heater to the formation, the costs associated with the casing, and / or the costs associated with packing the heater inside the hole. In addition, heat transfer due to radiation is usually more efficient than due to conductivity, so that heaters can operate at a lower temperature in an open well. Heat transfer due to conductivity during

- 7 009586 the initial operation of the heater can be increased by adding gas to the hole. Gas pressure can be maintained up to about 27 bar (absolute value). The gas may include, but is not limited to, carbon dioxide, hydrogen, steam, and / or helium. An insulated conductor heater in an open well may preferably expand or contract freely in accordance with thermal expansion and contraction. An insulated conductor heater may preferably be removed or relocated from an open well.

In FIG. 4 shows an embodiment of a conductor-type heater in a channel that can heat a hydrocarbon containing formation. Conductor 146 may be located in channel 138. Conductor 146 may be a rod or channel of electrically conductive material. At both ends of conductor 146, low resistance sections 148 may be provided to generate less heat in these sections. Section 148 low resistance can be performed with a larger cross-sectional area of ​​the conductor 146 in this section, or sections can be made of material having a lower resistance. In some embodiments, low resistance section 148 includes a low resistance conductor connected to conductor 146. In some embodiments, heaters 146 may be stainless steel rods 316H, 347H, 304H, or 310H with a diameter of about 2 cm. In some embodiments of the heaters, the conductors are 316, 304, or 310 stainless steel tubes with diameters of about 2.5 cm. Rods and tubes with larger or smaller diameters can be used to provide the desired heating of the formation. The diameter and / or wall thickness of the conductor 146 can be varied along the length of the conductor to provide different heating rates in different parts of the conductor.

Channel 138 may be made of electrically conductive material.

For example, channel 138 may be a mode 40 pipe with a diameter of 7.6 cm made of 347H, 316H, 304H, or 310H stainless steel. The channel 138 may be located in the hole 118 in the hydrocarbon layer 120. The hole 118 has a diameter to accommodate the channel 138. The diameter of the hole can be from about 10 to about 22 cm. Larger or smaller hole diameters can be used to accommodate specific channels or structures.

The conductor 146 can be located in the center of the channel 138 using centralizers 150. The centralizer 150 can electrically isolate the conductor 146 from the channel 138. The centralizer 150 can inhibit movement and properly position the conductor 146 inside the channel 138. The centralizer 150 may be made of ceramic material or a combination of ceramic and metallic materials. Centralizers 150 may inhibit deformation of conductor 146 in channel 138. Centralizers 150 may be located at a distance from each other between about 0.1 and about 3 m along conductor 146.

A second low resistance section 148 of conductor 146 may connect conductor 146 to wellhead 128, as shown in FIG. 4. An electric current can be supplied to the conductor 146 from the power cable 152 through the low resistance section 148 of the conductor 146. An electric current can pass from the conductor 146 through the slider 154 into the channel 138. Channel 138 can be electrically isolated from the casing 136 of the overburden and from the wellhead 1128 to return electric current to the supply cable 152. Heat can be generated in the conductor 146 and channel 138. Generated heat can be radiated inside the channel 138 and the hole 118 for heating at least least part of the hydrocarbon layer 120. For example, a voltage of about 480 V and a current of about 549 A can be supplied to conductor 146 and channel 138 of a heated section 229 m (750 ft) long to generate power of about 1150 W per 1 m of conductor 146 and channel 138.

In the overburden 132, an overburden casing 136 may be located. The cover layer casing 136 may in some embodiments be surrounded by materials that prohibit heating of the cover layer 132. In the cover layer casing 136, a low resistance section 148 of the conductor 146 may be located. The low resistance section 148 of the conductor 146 may be made, for example, of copper welded onto carbon steel. The low resistance section 148 may have a diameter between about 2 and about 5 cm or, for example, about 4 cm in diameter. The low resistance section 148 of the conductor 146 may be centered on the casing 136 of the overburden using centralizers 150. Centralizers 150 may be located at intervals of about 6 to about 12 m or, for example, about 9 m along the low-resistance section 148 of the conductor 146. In one embodiment of the heater, the low resistance section 148 of the conductor 146 is connected to the conductor by one or more weld points. In other embodiments, the heater sections of low resistance can be screwed up, screwed up and welded, or otherwise connected to a conductor. The low resistance section 148 may generate little and / or not heat in the casing 136 of the overburden. Packaging material 155 may be located between the overburden casing 136 and the bore 118. The packaging material 155 may prevent fluids from passing from the bore 118 to the surface 130.

In one embodiment of the heater, the overburden casing 136 is a mode 40 stainless steel pipe with a diameter of 7.6 cm. In some embodiments, the overburden casing 136 may be cemented into the overburden. Reinforcing material

- 8 009586

134 may be heat-resistant cement, such as 40% silica powder mixed with Class I Portland cement. The reinforcing material 134 may extend radially with a width of about 5 to about 25 cm. The reinforcing material 134 may also be made of prohibiting the passage of heat into the overburden 132. In other embodiments of the heater, the overburden casing 136 may not be cemented into the formation. The presence of a cementless overburden casing of the overburden may facilitate removal of channel 138 if removal is necessary.

Surface conductor 156 may connect to wellhead 128. Surface conductor 156 may have a diameter of from about 10 to about 30 cm or, in some embodiments, a diameter of about 22 cm. Electrically insulating sealing flanges can mechanically connect the low resistance section 148 of the conductor 146 to the wellhead 128 and electrically connect the low resistance section 148 with power cable 152. Electrically insulating sealing flanges may connect the supply cable 152 to the wellhead 128. For example, the power cable 152 may be a copper cable, wire, or other elongated element. The power cable 152 may include any materials having a substantially low resistance. The power cable can be connected with a clamp to the bottom of the low resistance section of the conductor to make electrical contact.

In one embodiment, heat may be generated in or through channel 138. From about 10 to about 40%, or, for example, about 20% of the total heat generated by the heater, can be generated in the channel 138 or using it. Both conductor 146 and channel 138 may be made of stainless steel. The dimensions of conductor 146 and channel 138 can be selected so that the conductor can dissipate heat in the range from about 650 to 1650 W / m. Essentially, uniform heating of the hydrocarbon containing formation can be provided along channel 138 with a length of more than 300 m and even more than 600 m.

A channel 158 may be provided for adding gas from the gas source 140 through the valve 142 to the hole 118. A hole is provided in the reinforcing material 134 to allow gas to flow into the hole 118. The channel 158 and valve 142 can be used at different times to relieve pressure and / or control pressure near hole 118. It should be noted that any of the heat sources described herein may be provided with channels for supplying additional components, discharging fluids and / or pressure control.

Heat can be generated inside an open well using a conductor-type channel heater. The generated heat can heat through radiation a portion of the hydrocarbon containing formation in the vicinity of a conductor-in-channel heater. To a lesser extent, due to the conductivity of the gas, a part of the formation near the conductor-type heater in the channel can be heated. The use of an open well reduces the cost of casing and packaging associated with filling the hole with material to ensure heat transfer due to conductivity between the insulated conductor and the formation. Additionally, heat transfer due to radiation can be more efficient than heat transfer due to conductivity in the formation, so that heaters can operate at a lower temperature when using heat transfer due to radiation. Operating at a lower temperature extends the life of the heater and / or reduces the cost of the material needed to make the heater.

In some embodiments, the heaters may include switches (e.g., fuses and / or thermostats) that turn off the power to the heater or parts of the heater when a certain condition is reached in the heater. In certain embodiments, a temperature limited heater may be used to provide heating for the hydrocarbon containing formation. A temperature limited heater is usually called a heater that controls the heat output (for example, reduces the heat output) when the set temperature is exceeded without the use of external control devices such as a temperature controller, power controllers, etc. Temperature limited heaters may be electrical resistive AC heaters. Temperature limited heaters can be more reliable than other heaters. Limited temperature heaters may be less prone to destruction or failure due to hot spots in the formation. In some embodiments, limited temperature heaters allow substantially uniform heating of the formation. In some embodiments, temperature limited heaters allow the formation to be heated more efficiently by operating at a higher average temperature along the entire length of the heater. A temperature limited heater can operate at a higher average temperature along the entire length of the heater, since there is no need to reduce the power supplied to the entire heater (for example, along the entire length of the heater), as in the case of conventional heaters, if the temperature at any point in the heater exceeds or approaches to the maximum permissible operating temperature of the heater. Parts of a temperature limited heater approaching the Curie temperature of the heater can automatically reduce the heat output in these parts when the heater reaches its limit temperature, or when approaching it. Heat output can automatically

- 9 009586 slightly decrease due to changes in the electrical properties (for example, electrical resistance) of the parts of the limited temperature heater at or near the selected temperature. The reduced heat output may be a local action of the part of the heater that has or approaches a selected temperature. Parts of the heater that have a temperature below the selected temperature may have a large heat output, while parts of the heater that have or approach a selected temperature may have a reduced heat output. Thus, it is possible to supply more power to a temperature limited heater during most of the heating process.

In the context of systems, devices and methods with reduced heat output, the concept automatically means that such systems, devices and methods operate in a certain way without the use of external control (for example, external controllers, such as a controller with a temperature sensor and feedback loop). For example, a system including temperature limited heaters can first provide a first heat output, and then provide a reduced heat output near, at the Curie point or when it is exceeded by the electrically resistive part of the heater when alternating current is supplied to the temperature limited heater.

Temperature limited heaters may be configured and / or may include materials that provide automatic temperature limiting properties of the heater at certain temperatures. For example, in embodiments of a temperature limited heater, ferromagnetic materials can be used. Ferromagnetic materials can independently limit the temperature at or near the Curie temperature of the material to provide a reduced heat output at or near the Curie temperature when an alternating current is passed through the material. In some embodiments, ferromagnetic materials may be combined with other materials (e.g., non-ferromagnetic materials and / or highly conductive materials) to provide various electrical and / or mechanical properties.

Some parts of a temperature limited heater may have less resistance (for example, due to other geometric dimensions and / or due to the use of various ferromagnetic and non-ferromagnetic materials) than other parts of a temperature limited heater. The presence of parts of a temperature limited heater with different materials and / or sizes can provide the choice of the desired heat output for each part of the heater. The use of ferromagnetic materials in temperature limited heaters can be less expensive and more reliable than the use of switches in temperature limited heaters.

The Curie temperature is the temperature above which a magnetic material (e.g., ferromagnetic material) loses its magnetic properties. In addition to losing magnetic properties above the Curie temperature, a ferromagnetic material may begin to lose its magnetic properties when an increasing electric current passes through the ferromagnetic material.

The heater may comprise a conductor that acts as a heater with a surface effect when alternating current is passed through the conductor. The surface effect limits the depth of current penetration into the conductor. For ferromagnetic materials, the surface effect (skin effect) is determined by the magnetic permeability of the conductor. The relative magnetic permeability of ferromagnetic materials is usually greater than 1 and may be greater than 10, 100 and even 1000. As the temperature of the ferromagnetic material rises above the Curie temperature and / or as the supplied electric current increases, the magnetic permeability of the ferromagnetic material decreases significantly and the skin depth increases rapidly (for example, inversely with the square root of the magnetic permeability). A decrease in the magnetic permeability leads to a decrease in the resistance to the alternating current of the conductor near, at or above the Curie temperature and / or with an increase in the supplied electric current. When the heater receives power from a substantially constant current source, parts of the heater that approach, reach, or exceed the Curie temperature may have reduced power dissipation. Heater sections that do not have a Curie temperature or are not near it can have predominantly surface-determined heating, which allows the heater to have high heat dissipation.

Curie heaters have been used in soldering equipment, in heaters for medical use, and in heaters for ovens (for example, pizza ovens). Some of these uses are disclosed in US Pat. Nos. 5,597,575 (Lam et al.), 5,065,501 (Hensheng et al.) And 5,512,732 (Yagnik et al.). US Pat. No. 4,849,611 to Whitney et al. Discloses several discrete heating blocks spaced apart, including a reactive component, a resistive heating component, and a temperature-sensitive component.

An advantage of using a temperature limited heater to heat a hydrocarbon containing formation may be that a conductor having a Curie temperature in a desired operating temperature range can be selected. The desired operating range can provide significant heat input into the formation while keeping the temperature of the heater and other equipment below the design temperature (i.e. below temperature, which adversely affects properties such as corrosion, creep and / or deformation). Heater Temperature Limit Properties

- 10 009586 may prohibit overheating or burnout of the heater near hot areas with low thermal conductivity in the formation. In some embodiments, a temperature limited heater is capable of withstanding temperatures above about 250, about 500, about 700, about 800, about 900 ° C. or higher depending on the materials used in the heater.

A temperature limited heater can provide greater heat input to the bed than constant heaters, since there is no need to limit the energy input to the temperature limited heater in order to adapt to areas of low thermal conductivity adjacent to the heater.

For example, in the Green River oil shale layer, there is a difference in thermal conductivity of at least 50% between the least rich layers of oil shales (less than about 0.04 l / kg) and the richest layers of oil shales (more than about 0.20 l / kg). When heating such a formation, significantly more heat can be transferred to the formation using a temperature limited heater than using a heater that is limited by temperature in layers with low thermal conductivity, which can have a thickness of only 0.3 mm. Since the heaters used to heat hydrocarbon reservoirs are usually long (for example, more than 10, 100 or 300 m), most of the length of the heater can work below the Curie temperature, while only a small number of parts are at the Curie temperature of the heater or near her.

The use of temperature limited heaters can provide efficient heat transfer to the bed. Effective heat transfer to the bed reduces the time required to heat the formation to the desired temperature. For example, in Green River oil shales, pyrolysis requires heating for about 9.5 to about 10 years using a distance of 12 m between heating wells with conventional constant power heaters. At the same distance between the heaters, temperature limited heaters can provide a larger average heat output while keeping the temperature of the heating equipment below the design limit temperature of the equipment. Pyrolysis in the formation can occur earlier with a higher average heat output provided by heaters with limited temperature. For example, in Green River oil shales, pyrolysis can occur after about 5 years of heating using temperature limited heaters with a distance between the heating wells of about 12 m. Temperature limited heaters counteract the occurrence of hot spots due to inaccurate distances or inaccurate drilling when the heating wells are too close to each other.

Temperature limited heaters can advantageously be used in many other types of hydrocarbon containing formations. For example, in tar sands or in relatively permeable formations containing heavy hydrocarbons, temperature limited heaters can be used to provide controlled low temperature output to reduce fluid viscosity at or near the well or in the formation. Temperature limited heaters can prevent excessive coke formation due to overheating of the zone in the formation near the well.

The use of temperature limited heaters can eliminate or reduce the need for temperature recording and / or the need to use fixed thermocouples on the heaters to monitor for possible overheating in hot areas. The use of temperature limited heaters can eliminate or reduce the need for expensive temperature control circuits.

A temperature limited heater may allow deformation if local movement of the well results in lateral stresses on the heater, which can deform its shape. Places along the length of the heater where the well approaches or is close to the heater may be hot spots where the standard heater may overheat and possibly burn out. These hot spots can lower the yield strength of the metal, which leads to destruction or deformation of the heater. A temperature limited heater can be formed with 8-shaped curves (or other non-linear shapes) that distribute the deformation of a temperature limited heater without damaging the heater.

In some embodiments, temperature limited heaters may be more economical to manufacture than standard heaters. Typical ferromagnetic materials include iron, carbon steel, or ferritic stainless steel. These materials can be inexpensive compared to nickel-based heating alloys (such as nichrome, cantalum, etc.) commonly used in insulated conductor heaters. In one embodiment of a temperature limited heater, the heater can be manufactured with a continuous length in the form of an insulated conductor heater (e.g., mineral insulated cable) to lower cost and increase reliability.

In some embodiments, a temperature limited heater may be placed in a heating well using a drilling rig with mounting tubing wound into a bay. A heater that can be wound on a drum can be manufactured using metal, such as ferritic stainless steel (e.g., 409 stainless steel),

- 11 009586 which is welded using electrical resistive welding. To form a heater section, a metal strip from a roll is passed through a first former, where it is formed into a pipe and then longitudinally welded using electrical resistive welding. The pipe is passed through a second former, where a conductive strip (for example, a copper strip) is applied, drawn tightly onto the pipe through a die, and welded using electrical resistive welding. A casing may be formed by longitudinal welding of a support material (for example, steel such as 347H or 347HH) over the material of the conductive strip. The support material may be a strip wound over a material of a conductive strip. The heater section extending in the overburden can be performed in a similar manner. In some embodiments, the section in the coating layer may be made using a non-ferromagnetic material, such as stainless steel 304 or stainless steel 316, instead of a ferromagnetic material. The heating section and the coating layer section can be connected to each other using standard technologies, such as butt welding using an orbital welding machine. In some embodiments, the material of the coating layer section (i.e., non-ferromagnetic material) can be pre-welded with the ferromagnetic material before rolling. Pre-welding can eliminate the need for a separate joining step (i.e. butt welding). In one embodiment, a furnace cable (eg, a furnace cable, such as an oven cable of the ILO 1000) can be pulled through the center after the formation of the tubular heater. The end plate on the flexible cable can be welded to the tubular heater to create a return path for electric current. A tubular heater, including a flexible cable, can be wound onto a drum before installation in a heating well. In one embodiment, a temperature limited heater may be installed using a rig with coiled tubing.

In one embodiment, the Curie temperature heater includes a furnace cable inside the ferromagnetic channel (for example, mode 80 pipes of 446 stainless steel with a diameter of 3/4 inch (19 mm)). The ferromagnetic channel may be clad with copper or other suitable conductive material. The ferromagnetic channel can be placed in a deformable channel or in a container resistant to deformation. A deformation channel may allow longitudinal deformation, radial deformation, or creep. The deformation channel may support the ferromagnetic channel and the furnace cable. A deformation channel can be selected based on resistance to creep and / or corrosion at or near the Curie temperature. In one embodiment, the deformation channel may be a mode 80 pipe of 347H stainless steel with a diameter of 1.5 inches (with an outer diameter of about 4.826 cm) or a 347H stainless steel pipe of mode 160 with a diameter of 1.5 inches (with an outer diameter of about 4.826 cm). The diameter and / or materials of the channel allowing deformation of the channel may vary depending on, for example, the characteristics of the formation to be heated, or the desired characteristics of the heat output of the heater. In some embodiments, air can be removed from the annular space between the deformation channel and the clad ferromagnetic channel. The space between the deformation channel and the clad ferromagnetic channel can be washed with compressed inert gas (for example, helium, nitrogen, argon, or mixtures thereof). In some embodiments, the inert gas may include a small amount of hydrogen to act as a getter for the residual oxygen. Inert gas can pass down the annular space from the surface, enter the inner diameter of the ferromagnetic channel through a small hole near the bottom of the heater, and flow upward inside the ferromagnetic channel. Removing air in the annular space can reduce the oxidation of materials in the heater (for example, nickel-plated copper wires of the furnace cable) to provide a longer heater life, in particular at high temperatures. The thermal conductivity between the furnace cable and the ferromagnetic channel and between the ferromagnetic channel and the deformation channel can be improved when the inert gas is helium. Compressed inert gas in the annular space may also provide additional support for the deformable channel against high formation pressures.

Temperature limited heaters can be used to heat hydrocarbon containing formations, including but not limited to oil shale formations, coal seams, tar sands and heavy viscous oil. Limited temperature heaters can be used to clean contaminated soil. Limited temperature heaters can also be used in the field of environmental cleaning to evaporate soil contamination. Embodiments of temperature limited heaters can be used to heat fluids in a well or in an underwater pipeline to prevent deposition of paraffins or various hydrates. In some embodiments, a temperature limited heater may be used to mine from underground formations by a dissolution method (e.g., oil shale or coal seam). In some embodiments, a fluid (eg, molten salt) can be placed in the well and heated with a temperature limited heater to prevent deformation and / or destruction of the well. In some embodiments, the heater is limited to

- 12 009586 at a fixed temperature can be attached to the pump rod in the well, or it can be part of the pump rod itself. In some embodiments, temperature limited heaters can be used to heat the area near the well to reduce the viscosity of the oil near the well during the production of high viscosity crude oil and during transportation of high viscosity oil to the surface. In some embodiments, a temperature limited heater may provide a viscous oil gas lift by lowering the viscosity of the oil without coking the oil.

Some embodiments of temperature limited heaters can be used in chemical or oil refining processes at elevated temperatures that require control over a narrow temperature range to prevent undesirable chemical processes or damage due to local elevated temperatures. Some applications may include, but are not limited to, reactor tubes, coking units and distillation towers. Temperature limited heaters can also be used in pollution control devices (such as catalytic converters and oxidizing agents) to provide quick heating to a controlled temperature without complex temperature control circuits. In addition, temperature limited heaters can be used in food processing to prevent damage to food at extreme temperatures. Limited temperature heaters can also be used in the heat treatment of metals (for example, tempering of welded joints). Limited temperature heaters can also be used in floor heating devices, in cauterization devices and / or various other devices. Temperature-limited heaters can be used for needle biopsy to destroy tumors by raising the temperature in a living organism.

Some embodiments of temperature limited heaters can be used in some types of medical and / or veterinary devices. For example, a temperature limited heater may be used to treat human or animal tissue in a therapeutic manner. A temperature limited heater for a medical or veterinary device may have a ferromagnetic material including an alloy of palladium with copper with a Curie temperature of about 50 ° C. A high frequency (e.g., greater than 1 MHz) can be used to power relatively small temperature limited heaters for medical and / or veterinary use.

The ferromagnetic alloy used in the Curie point heater can determine the Curie temperature of the heater. Curie temperature data for various metals is provided in the Handbook of the American Institute of Physics, Second Edition, Metstet-NSh, pp. 5-170-5-176. The ferromagnetic conductor may include one or more ferromagnetic elements (iron, cobalt and nickel) and / or alloys of these elements. In some embodiments, the ferromagnetic conductors may include iron-chromium alloys that contain tungsten (e.g., HCM12A and 8AUE12 from 8tyyo Me (a1§ Co., Japan), and / or alloys that contain chromium (e.g., iron-chromium alloys, alloys of iron, chromium and tungsten, alloys of iron, chromium and vanadium, alloys of iron, chromium and niobium). Of the three ferromagnetic elements, iron has a Curie temperature of about 770 ° C, cobalt has a Curie temperature of about 1131 ° C and nickel has a Curie temperature of about 358 ° C. The alloy of iron and cobalt has a Curie temperature above the Curie temperature of iron. For example, an alloy of iron with 2% cobalt has a Curie temperature of about 800 ° C, an alloy of iron with 12% cobalt has a Curie temperature of about 900 ° C, and an alloy of iron with 20% cobalt has a Curie temperature of about 950 ° C. The alloy of iron and nickel has a Curie temperature below the Curie temperature of iron. For example, an alloy of iron with 20% nickel has a Curie temperature of about 720 ° C, and an alloy of iron with 60% cobalt has a Curie temperature of about 560 ° C.

Some non-ferromagnetic elements used as alloys can increase the Curie temperature of iron. For example, an iron alloy with 5.9% vanadium has a Curie temperature of about 815 ° C. Other non-ferromagnetic materials (e.g., carbon, aluminum, copper, silicon and / or chromium) can be fused with iron or other ferromagnetic materials to lower the Curie temperature. Non-ferromagnetic materials that increase the Curie temperature can be combined with non-ferromagnetic materials that lower the Curie temperature and fused with iron or other ferromagnetic materials to create a material with the desired Curie temperature and other desired physical and / or chemical properties. In some embodiments, the Curie temperature material may be a binary compound, such as Re #₃ or re₃A1.

Magnetic properties usually weaken when approaching the Curie temperature. The Handbook for Electric Heating in Industry, C. 1 at5 Epecup (1EEE Prg55. 1995) shows a typical curve for 1% carbon steel (i.e. steel with 1 wt.% Carbon). The loss of magnetic permeability begins at a temperature of approximately above 650 ° C and becomes complete when the temperature rises above 730 ° C. Thus, the self-limiting temperature may be slightly lower than the actual Curie temperature of the ferromagnetic conductor. The depth of the skin layer for the passage of current in 1% carbon steel is about 0.132 cm at room temperature and increases to about 0.445 cm at a temperature of about 720 ° C. At temperatures from about 720 to about 730 ° C, the depth of the skin layer increases sharply to over 2.5 cm. Thus, an embodiment of a heater with an ogre

- 13 009586 at a low temperature using 1% carbon steel independently limits the temperature between from about 650 to about 730 ° C.

The depth of the skin layer usually sets the effective penetration depth of the alternating current into the conductive material. Typically, the current density decreases exponentially depending on the distance from the outer surface to the center along the radius of the conductor. The depth at which the current density is approximately 1 / e of the current density on the surface is called the depth of the skin layer. For a solid cylindrical rod with a diameter much greater than the penetration depth, or for hollow cylinders with a wall thickness exceeding the penetration depth, the depth δ of the skin layer is δ = 1981.5 * <(ρ / (μ * ί))¹'² (1) where δ is the skin depth in inches;

ρ is the resistivity at the operating temperature (Ohm / cm);

μ is the relative magnetic permeability and £ is the frequency (Hz).

Equation 1 is obtained from the Handbook for Electric Heating in Industry, C. 1ats5 Epskop (ΙΕΕΕ Rgesz, 1995). For most metals, resistivity ρ increases with temperature. The relative magnetic permeability usually varies with temperature and current. You can use additional equations to estimate the change in magnetic permeability and / or depth of the skin layer depending on temperature and / or current. The dependence of μ on the current follows from the dependence of μ on the magnetic field.

The materials used in the temperature limited heater can be selected to provide the desired reduction ratio. The reduction ratio for a temperature limited heater is the ratio of the maximum AC resistance directly below the Curie temperature to the maximum AC resistance directly above the Curie temperature. For temperature limited heaters, reduction ratios of at least 2: 1, 3: 1, 4: 1, 5: 1 or more can be selected. The selected reduction ratios may depend on several factors, including, but not limited to, the type of formation in which the temperature limited heater is located (for example, higher reduction ratios can be used for oil shale formations with large changes in thermal conductivity between rich and poor layers of oil shale ), and / or temperature limit for materials used in the well (e.g., temperature limits of heater materials). In some embodiments, the reduction ratio can be increased by adding copper or another good electrical conductor to the ferromagnetic material (for example, adding copper to lower the resistance above the Curie temperature).

A temperature limited heater may provide a minimum heat output (i.e., minimum output power) below the Curie temperature of the heater. In some embodiments, the minimum output power may be at least about 400, about 600, about 700, about 800 W / m or higher. A temperature limited heater can reduce heat output above the Curie temperature. The reduced heat output is usually significantly less than the heat output below the Curie temperature. In some embodiments, the reduced heat output may be less than about 400, less than about 200 W / m, or may approach 100 W / m.

In some embodiments, a temperature limited heater may operate substantially independently of the heat load on the heater over a specific operating temperature range. Thermal load is the rate of heat transfer from the heating system to its surroundings. It should be noted that the thermal load may vary depending on the ambient temperature and / or thermal conductivity of the environment. In one embodiment, the temperature limited heater can operate at or above the Curie temperature of the heater, so that the operating temperature of the heater does not change by more than about 1.5 ° C with a decrease in heat load of about 1 W / m near the heater portion. In some embodiments, the operating temperature of the heater does not change by more than about 1 ° C or not more than 0.5 ° C with a decrease in heat load of about 1 W / m.

The resistance to alternating current or the heat output of a part of a limited temperature heater can sharply decrease above the Curie temperature, partly due to the Curie effect. In some embodiments, the AC resistance or heat output above or near the Curie temperature is less than about half the AC resistance or heat output at a certain point below the Curie temperature. In some embodiments, the heat output above or near the Curie temperature may be less than about 40, 30, 20, 15, or 10% of the heat output at a certain point below the Curie temperature (for example, about 30, about 40, about 50, or about 100 ° C. below the Curie temperature). In some embodiments, AC resistance above or near the Curie temperature may decrease by 80, 70, 60, or 50% of the AC resistance at a certain point below the Curie temperature (e.g., about 30, about 40, about 50, or about 100 ° C below Curie temperature).

- 14 009586

In some embodiments, the frequency of the alternating current can be adjusted to change the depth of the skin layer of the ferromagnetic material. For example, the depth of the skin layer of 1% carbon steel at room temperature is about 0.132 cm at a frequency of 60 Hz, about 0.0762 cm at a frequency of 180 Hz, and about 0.046 cm at a frequency of 400 Hz. Since the diameter of the heater is usually more than 2 times the depth of the skin layer, using a higher frequency (and thus a heater with a smaller diameter) can reduce the cost of equipment. With constant geometric dimensions, a higher frequency leads to a higher reduction ratio. The reduction ratio at a higher frequency can be calculated by multiplying the reduction ratio at a low frequency by the square root of the ratio of the high frequency to the low frequency. In some embodiments, a frequency between about 100 and about 600 Hz can be used. In some embodiments, a frequency between about 140 and about 200 Hz can be used. In some embodiments, a frequency between about 400 and about 550 Hz can be used.

In order to maintain a substantially constant skin depth until the Curie temperature of the heater is reached, the heater can operate at a low frequency while the heater is cold, and operate at a higher frequency when the heater is hot. However, heating at the supply line frequency is preferable, since there is no need for expensive components (e.g., variable frequency power supplies). The frequency of the supply line is the frequency of the supplied current. The frequency of the supply line is usually 60 Hz, but it can be 50 Hz or equal to other frequencies depending on the source (for example, geographic location) of the supplied current. Higher frequencies can be created using commercial equipment (e.g., variable frequency semiconductor power supplies). In some embodiments, electrical voltage and / or electric current can be adjusted to change the skin depth of the ferromagnetic material. The shorter skin depth allows the use of a heater with a smaller diameter, which reduces the cost of equipment. In some embodiments, the applied current may be about 1, about 10, about 70, 100, 200, 500 A or more. In some embodiments, AC can be supplied with voltages of more than about 220, more than about 480, more than about 600, more than about 1000, or more than about 1500 V.

In one embodiment, the temperature limited heater may include an inner conductor within the outer conductor. The inner conductor and the outer conductor may be arranged radially around a central axis. The inner and outer conductors can be separated by a layer of insulation. In some embodiments, the inner and outer conductors may be connected to each other at the bottom of the heater. Electric current can pass into the heater through the inner conductor and return through the outer conductor. One or both conductors may contain ferromagnetic material.

The insulating layer may contain electrically insulating ceramics with high thermal conductivity, such as magnesium oxide, alumina, silicon dioxide, beryllium oxide, boron nitride, silicon nitride, etc. The insulating layer may be a compacted powder (for example, compacted ceramic powder). Sealing can increase thermal conductivity and provide better insulation resistance. For use at low temperatures, polymer insulation made of, for example, fluoropolymers, polyimides, polyamides and / or polyethylene can be used. The insulating layer can be selected transparent for infrared radiation to facilitate heat transfer from the inner conductor to the outer conductor. In one embodiment, the insulating layer may be transparent quartz sand. The insulation layer may be air or a non-reactive gas such as helium, nitrogen or sulfur hexafluoride. If the insulating layer is air or non-reactive gas, insulating spacers can be used to prevent electrical contact between the inner conductor and the outer conductor. The insulation spacers can be made, for example, of high purity alumina or other thermally conductive, electrically insulating material, such as silicon nitride. Insulation spacers may be ceramic fiber material, such as No. x! E1 ™ 312, mica tape or fiberglass. Ceramic materials may be made of alumina, aluminosilicate, aluminoborosilicate, silicon nitride or other materials.

The insulating layer may be flexible and / or substantially deformable. For example, if the insulating layer is a solid or densified material that substantially fills the space between the inner and outer conductors, then the heater may be flexible and / or substantially deformable. The forces acting on the outer conductor can be transmitted through the insulating layer to a solid inner conductor, which can resist creasing. Such a heater can be bent, sharply bent and wound spirally without causing an electrical short circuit between the outer conductor and the inner conductor. The possibility of deformation may be important if the well may experience significant deformation during heating of the formation.

In some embodiments, the outer conductor can be selected resistant to corrosion and / or creep. In one embodiment, austenite may be used in the outer conductor

- 15 009586 stainless (non-ferromagnetic) stainless steel, such as stainless steel 304H, 347H, 347HH, 316H or 310H. The outer conductor may also include a clad conductor. For example, a corrosion resistant alloy such as 800H or 347H stainless steel can be clad to protect against corrosion over a ferromagnetic carbon steel pipe. If high temperature strength is not required, the outer conductor can also be made of ferromagnetic metal with good corrosion resistance (for example, one of ferritic stainless steels). In one embodiment, a ferrite alloy of 82.3% iron with 17.7% chromium (Curie temperature 678 ° C) can provide the desired corrosion resistance.

The Metal Metals Handbook, Volume 8, p. 291 (American Metal Society) shows a plot of the Curie temperature of iron-chromium alloys versus the amount of chromium in the alloys. In some embodiments of a temperature limited heater, a separate support rod or pipe (made, for example, of 347H stainless steel) can be connected to a heater (for example, a heater made of an alloy of iron with chromium) to provide strength and / or creep resistance. The support material and / or ferromagnetic material can be selected to provide a long creep of 100,000 hours at a pressure of at least 3,000 psi (21 MPa) at a temperature of about 650 ° C. In some embodiments, a continuous creep of 100,000 hours may be at least 2,000 pounds per square inch (14 MPa) at a temperature of about 650 ° C., or at least about 1,000 pounds per square inch (7 MPa) at a temperature of 650 ° C. For example, 347H steel has favorable long-term creep at a temperature of 650 ° C or higher. In some embodiments, continuous creep of 100,000 hours can range from about 1000 psi (7 MPa) to about 6000 psi (42 MPa) or more for long heaters and / or higher voltages soil or fluid.

In one embodiment with an inner ferromagnetic conductor and an outer ferromagnetic conductor, a surface current path occurs on the outer side of the inner conductor and on the inner side of the outer conductor. Thus, the outer side of the outer conductor can be clad with a corrosion-resistant alloy such as stainless steel without affecting the surface current path on the inner side of the outer conductor.

A ferromagnetic conductor with a thickness greater than the depth of the skin layer at the Curie temperature can provide a significant decrease in the resistance to alternating current of the ferromagnetic material with a sharp increase in the depth of the skin layer near the Curie temperature. In some embodiments (for example, without cladding with a highly conductive material such as copper), the thickness of the conductor can be about 1.5 times, and about 3 times, or even about 10 times the depth of the skin layer near the Curie temperature. If the ferromagnetic material is clad with copper, then the thickness of the ferromagnetic conductor can be essentially the same with the depth of the skin layer near the Curie temperature. In some embodiments, the copper-clad ferromagnetic conductor may have a thickness equal to at least three quarters of the depth of the skin layer near the Curie temperature.

In one embodiment, the temperature limited heater may include a composite conductor with a ferromagnetic pipe and a non-ferromagnetic, well electrically conductive core. A non-ferromagnetic core with high electrical conductivity reduces the required diameter of the conductor. For example, the conductor may be a composite conductor with a diameter of 1.19 cm with a copper core with a diameter of 0.575 cm, clad with a thickness of 0.298 cm, ferritic stainless steel or carbon steel surrounding the core. A composite conductor can provide a sharper decrease in the electrical resistance of a temperature limited heater near the Curie temperature. With increasing depth of the skin layer near the Curie temperature with the inclusion of a copper core, the electrical resistance can decrease more sharply.

A composite conductor may increase the conductivity of a temperature limited heater and / or provide heater operation at lower voltages. In one embodiment, the composite conductor may have a relatively flat plot of resistivity versus temperature. In some embodiments, a temperature limited heater may have a relatively flat plot of resistivity versus temperature between about 100 and about 750 ° C or in the temperature range between about 300 and about 600 ° C. The relatively flat temperature dependence of resistivity can also occur in other temperature ranges by, for example, selecting materials and / or material configurations in a temperature limited heater.

In certain embodiments, the relative thickness of each material in the composite conductor can be selected to create the desired temperature-dependent resistivity for a temperature limited heater. In one embodiment, the composite conductor may be an internal conductor surrounded by 0.127 cm thick magnesium oxide powder as an insulator. The outer conductor can be stainless steel 304H with a wall thickness of 0.127 cm. The outer diameter of the heater can be about 1.65 cm.

- 16 009586

A composite conductor (e.g., a composite inner conductor or a composite outer conductor) can be made using methods including, but not limited to, drawing a bimetallic rod, profiling sheet metal on a roll bending machine, tight fitting pipes (e.g., cooling the inner member and heating outer element then the introduction of the internal element into the external element with the subsequent operation of drawing and / or cooling the system), explosive or electromagnetic cladding, arc coating welding, longitudinal welding of strips, plasma welding using powder filler material, extrusion of bimetallic rods, plating, drawing, plasma coating, co-extrusion molding, magnetic molding, cylindrical casting of the melt (inner core material inside the outer or vice versa), insertion followed by welding or high-temperature brazing, active gas welding with protection of the welding zone and / or insertion of the inner pipe into the outer pipe with the subsequent mechanical expansion of the inner work using hydropressing or using blanks for expanding and pressing the inner pipe to the outer pipe. In some embodiments, the ferromagnetic conductor may be braided over the non-ferromagnetic conductor. In certain embodiments, composite conductors can be formed using methods similar to cladding methods (for example, cladding steel with copper). A metallurgical bond between the copper cladding and the base ferromagnetic material may be preferred. Composite conductors made using a co-extrusion process that provides a good metallurgical connection (for example, a good connection between copper and 446 stainless steel) are supplied by Lpoche! Rtobis18, 1ps. (8giguigu, Ma).

In one embodiment, two or more conductors can be connected to form a composite conductor using various methods (including longitudinal welding of strips) to provide tight contact between the conductive layers. In certain embodiments, two or more conductive layers and / or insulating layers can be combined to form a composite heater with layers selected such that the thermal expansion coefficient decreases for each subsequent layer from the inner layer toward the outer layer. As the temperature of the heater rises, the innermost layer expands to the highest degree. Each subsequent layer lying on the outside expands to a slightly lesser extent, while the outermost layer expands the least. This sequential expansion provides close contact between the layers for good electrical contact between the layers.

In one embodiment, two or more conductors can be dragged along with the formation of a composite conductor. In certain embodiments, a relatively malleable ferromagnetic conductor (e.g., iron, such as steel 1018) can be used to form a composite conductor. The relatively soft ferromagnetic conductor typically has a low carbon content. A relatively malleable ferromagnetic conductor may be useful in the drawing process to form composite conductors and / or other processes that require stretching or bending of the ferromagnetic conductor. During the drawing process, the ferromagnetic material can be released after one or more stages of the drawing process. The ferromagnetic conductor can be released in an inert gas atmosphere to prohibit oxidation of the conductor. In some embodiments, oil may be applied to the ferromagnetic conductor to prevent oxidation of the conductor during processing.

The diameter of the temperature limited heater may be small enough to prevent deformation of the heater by the collapsing formation. In certain embodiments, the outer diameter of the temperature limited heater may be less than about 5 cm. In some embodiments, the outer diameter of the limited temperature heater may be less than about 4 cm, less than about 3 cm, or between about 2 and 5 cm.

In the described heater embodiments (for example, including, but not limited to, temperature limited heaters, insulated conductor heaters, duct conductor heaters and elongated element heaters), the largest cross-sectional area of ​​the heater can be selected to provide the desired largest ratio cross-section to the diameter of the well (for example, the initial diameter of the well). The largest cross-sectional dimension is the largest heater size along the same axis as the borehole diameter (for example, the diameter of a cylindrical heater or the width of a vertical heater). In certain embodiments, the ratio of the largest cross-sectional size to the diameter of the well can be selected to be less than about 1: 2, about less than 1: 3, or about less than 1: 4. The ratio of the diameter of the heater to the diameter of the well can be selected to prevent contact and / or deformation of the heater by the formation (i.e., to prevent the well from closing on the heater) during heating. In certain embodiments, the diameter of the well may be determined by the diameter of the drill bit used to create the well.

In one embodiment, the diameter of the well may be reduced from the initial value of 17 cm

- 17 009586 to about 6 cm during heating of the formation (for example, for a well in oil shales with an oil content of more than about 0.12 l / kg). At some point, the expansion of the formation material into the well during heating of the well leads to an equilibrium between the circumferential stress of the well and the compressive strength due to the thermal expansion of the layers rich in hydrocarbons or kerogen. At this point, the formation no longer has the strength to deform or fracture the heater or sheath. For example, the radial force generated by the formation material may be about 12,000 psi. inch (84 MPa) with a diameter of 17 cm, while the force with a diameter of about 6 cm after expansion can be 3000 psi (21 MPa). The diameter of the heater can be selected less than about 5.1 cm to prevent contact between the formation and the heater. A temperature limited heater may preferably provide a higher heat output in a significant part of the well (for example, the heat output necessary to provide enough heat to pyrolyze hydrocarbons in a hydrocarbon containing formation) than a heater of constant power with small heater diameters (for example, less than about 5.1 cm).

In certain embodiments, the heater may be placed in a strain resistant container. A deformation-resistant container may provide additional protection to prevent deformation of the heater. A strain resistant container may have a higher long-term strength than a heater. In one embodiment, the deformation resistant container may have a long-term strength of at least 3000 psi (21 MPa) for 100,000 hours at a temperature of about 650 ° C. In some embodiments, the long-term strength of the warp resistant container may be at least about 4,000 psi (28 MPa) for 100,000 hours, or at least about 5,000 psi (35 MPa) in for 100,000 hours at a temperature of about 650 ° C. In one embodiment, the strain resistant container may include an alloy of iron, nickel, chromium, magnesium, carbon, tantalum, and / or a mixture thereof.

In FIG. 5 shows an embodiment of a temperature limited heater with an outer conductor having a ferromagnetic section and a non-ferromagnetic section. In FIG. 6 and 7 are cross-sectional views of the embodiment of FIG. 5. In one embodiment, the ferromagnetic section 160 may be used to provide heating of the hydrocarbon layers in the formation. Non-ferromagnetic section 162 may be used in the overburden. The non-ferromagnetic section 162 may give off little or no heat to the coating layer, thereby eliminating heat loss in the coating layer and improving the efficiency of the heater. The ferromagnetic section 160 may include ferromagnetic material, such as 409 or 410 stainless steel. 409 stainless steel is readily available as a strip material. The ferromagnetic section 160 may have a thickness of about 0.3 cm. The non-ferromagnetic section 162 may be copper with a thickness of about 0.3 cm. The inner conductor 164 may be copper. The inner conductor 164 may have a diameter of about 0.9 cm. The electrical insulator 166 may be magnesium oxide powder or other suitable insulating material. Electrical insulator 166 may have a thickness of from about 0.1 to 0.3 cm.

In FIG. 8 shows an embodiment of a temperature limited heater with an outer conductor having a ferromagnetic section and a non-ferromagnetic section located in the shell. In FIG. 9, 10 and 11 are sectional views of the embodiment of FIG. 8. The ferromagnetic section 160 may be stainless steel with a thickness of about 0.6 cm. The non-ferromagnetic section 162 may be copper with a thickness of about 0.3 cm. The inner conductor 164 may be copper with a diameter of about 0.9 cm. Outer conductor 168 may include ferromagnetic material. Outer conductor 168 can transfer some heat through the overlay layer of the heater section. The creation of a certain amount of heat in the overburden may preclude condensation or reflux of fluids in the overburden. Outer conductor 168 may be 409, 410, or 446 stainless steel with an outer diameter of about 3.0 cm and a thickness of about 0.6 cm. The electrical insulator 166 may be magnesium oxide powder with a thickness of about 0.3 cm. The conductive section 170 may connect the inner conductor 164 to the ferromagnetic section 160 and / or the outer conductor 168.

In FIG. 12 shows an embodiment of a temperature limited heater with a ferromagnetic outer conductor. The conductive layer may be located in a corrosion resistant housing. The conductive layer may be located between the outer conductor and the casing. In FIG. 13 and 14 show sectional embodiments for the heater shown in FIG. 12. Outer conductor 168 may be a mode 80 pipe with a diameter of 3/4 inch (19 mm) in 446 stainless steel. In one embodiment, the conductive layer 172 is located between the outer conductor 168 and the casing 174. The conductive layer 172 may be a copper layer. The outer conductor may be coated with a conductive layer 172. In certain embodiments, the conductive layer 172 may include one or more segments (for example, the conductive layer 172 may include one or more segments of a copper pipe). The casing 174 may be a mode 80 pipe with a diameter of 1¼ inch (31.7 mm) of 347H stainless steel or a mode pipe of 160 with a diameter of 1½ inch (38 mm) of 347H stainless steel. In one embodiment, the inner conductor 164 is a 4/0 MST-1000 furnace cable with a twisted nickel-plated copper wire with layers of nickel tape and fiberglass insulation. The furnace cable 4/0 MST-1000 is a cable of type IL 5107 (supplied by the company Lsheb \ Uye apb SaYe, Ryoeshkhu,

- 18 009586

Pennsylvania). The conductive section 170 may connect the inner conductor 164 and the casing 174. In one embodiment, the conductive section 170 may be made of copper.

In FIG. 15 shows an embodiment of a temperature limited heater with an outer conductor. The outer conductor may include a ferromagnetic section and a non-ferromagnetic section. The heater may be housed in a corrosion resistant casing. The conductive layer may be located between the outer conductor and the casing. In FIG. 16 and 17 are sectional views of the embodiment of FIG. 15. The ferromagnetic section 160 may be 409, 410, or 446 stainless steel with a thickness of about 0.9 cm. The non-ferromagnetic section 162 can be copper with a thickness of about 0.9 cm. The ferromagnetic section 160 and the non-ferromagnetic section 162 can be located in the casing 174. The casing 174 can be stainless steel 304 with a thickness of about 0.1 cm. The conductive layer 172 can be a copper layer . The electrical insulator may be magnesium oxide with a thickness of about 0.10.3 cm. The inner conductor may be copper with a thickness of about 0.1 cm.

In one embodiment, the ferromagnetic section may be stainless steel with a thickness of about 0.9 cm. The housing 174 may be stainless steel with a thickness of about 0.6 cm. Stainless steel 410 has a higher Curie temperature than stainless steel 446. Such a limited heater temperature can hold the current so that the current cannot simply flow from the heater to the surrounding formation (i.e., to the ground) and / or any surrounding water (e.g., brine in the formation). In this embodiment, current flows through the ferromagnetic section 160 until the Curie temperature of the ferromagnetic section is reached. After reaching the Curie temperature of the ferromagnetic section 160, current flows through the conductive layer 172. The ferromagnetic properties of the casing 174 (stainless steel 410) prevent the current from flowing outside the conductor and hold the current. In addition, the casing 174 may have a thickness that provides strength to the temperature limited heater.

In FIG. 18 shows an embodiment of a temperature limited heater. The heating section of the temperature limited heater may include non-ferromagnetic inner conductors and a ferromagnetic outer conductor. The temperature limited section of the heater passing through the overburden may comprise a non-ferromagnetic outer conductor. In FIG. 19, 20 and 21 are sectional views of the embodiment of FIG. eighteen. The inner conductor 164 may be copper with a diameter of about 0.1 cm. The electrical insulator 166 may be located between the inner conductor 164 and the conductive layer 172. The electrical insulator 166 may be magnesium oxide with a thickness of about 0.1-0.3 cm. The conductive layer 172 may be copper with a thickness of about 0.1 cm. The insulating layer 176 may be in the annular space outside the conductive layer 172. The thickness of the annular space may be about 0.3 cm. The insulating layer 176 may be quartz sand.

The heating section 178 may transfer heat to one or more layers of hydrocarbon in the formation. The heating section 178 may include ferromagnetic material, such as 409 or 410 stainless steel. The heating section 178 may have a thickness of about 0.9 cm. The tip 180 may be connected to the end of the heating section 178. The tip 180 may electrically connect the heating section 178 to the inner conductor 164 and / or the conductive layer 172. Tip 180 may be stainless steel 304. Heating section 178 may be coupled to section 182 passing through the coating layer. Section 182 passing through the coating layer may include carbon steel and / or other suitable support materials. Section 182 passing through the overburden may have a thickness of about 0.6 cm. Section 182 passing through the overburden may be coated with a conductive layer 184. The conductive layer 184 may be copper with a thickness of about 0.3 cm.

In FIG. 22 shows an embodiment of a temperature limited heater comprising a section with a coating layer and a heating section. In FIG. 23 and 24 are sectional views of the embodiment of FIG. 22. The section passing through the coating layer may include inner conductor 164A part 164A. 164A part may be copper with a diameter of about 1.3 cm. The heating section may include inner conductor 164 part 164B. Part 164B may be copper with about 0.5 cm diameter . Part 164B may be located in ferromagnetic conductor 186. Ferromagnetic conductor 186 may be 446 stainless steel with a thickness of about 0.4 cm. Electrical insulator 166 may be magnesium oxide with a thickness of about 0.2 cm. Outer conductor 168 may be copper with a thickness of about 0.1 cm. The outer conductor 168 may be housed in a casing 174. The casing 174 may be 316H or 347H stainless steel with a thickness of about 0.2 cm.

In some embodiments, a conductor (e.g., an inner conductor, an outer conductor, a ferromagnetic conductor) may include two or more different materials. In certain embodiments, the composite conductor may include two or more ferromagnetic materials. In some embodiments, the composite ferromagnetic conductor includes two or more radially spaced materials. In certain embodiments, the composite conductor may include a ferromagnetic conductor and a non-ferromagnetic conductor. In some embodiments, the composite conductor may include a ferromagnetic conductor located

- 19 009586 married over a non-ferromagnetic core. To obtain a relatively flat graph of the electrical resistivity versus temperature in the temperature range below the Curie temperature and / or a sharp decrease in electrical resistivity at or near the Curie temperature (for example, a relatively high reduction ratio), two or more materials can be used. In some cases, two or more materials may be used to provide more than one Curie temperature for a temperature limited heater.

In certain embodiments, a composite electrical conductor can be created using a co-extrusion process from a workpiece. The process of co-extrusion from a workpiece may include connecting two or more electrical conductors to each other at a relatively high temperature (for example, at temperatures that are close to or exceed 75% of the melting temperature of the conductor). Electrical conductors can be dragged together at relatively high temperatures. Jointly drawn conductors can then be cooled to form a composite electrical conductor made of two or more conductors. In some embodiments, the composite electrical conductor may be a solid composite electrical conductor. In certain embodiments, the composite electrical conductor may be a tubular composite electrical conductor.

In one embodiment, the copper core may be coextruded from the preform with a stainless steel conductor (e.g., 446 stainless steel). The stainless steel copper core and conductor can be heated to the softening point in vacuum. At the softening temperature, the stainless steel conductor can be pulled over the copper core to form a snug fit. The stainless steel conductor and copper core can then be cooled to form a composite electrical conductor with stainless steel surrounding the copper core.

In some embodiments, a long composite electrical conductor can be constructed from several sections of the composite electrical conductor. Composite electrical conductor sections can be created using a co-extrusion process from a workpiece. Composite electrical conductor sections can be connected to each other using a welding process. In FIG. 25, 26 and 27 show embodiments of connected sections of composite electrical conductors. As shown in FIG. 28, core 188 extends beyond the ends of the inner conductor 164 in each section of the composite electrical conductor. In one embodiment, the core 188 is made of copper and the inner conductor 164 is stainless steel 446. The cores 188 from each section of the composite electrical conductor can be connected to each other by, for example, brazing the ends of the core to each other. The core connecting material 190 may connect the ends of the cores to each other, as shown in FIG. 25. The core material 190 can be, for example, Eyegbig alloy. a material of an alloy of copper with silicon (for example, an alloy with about 3 wt.% silicon in copper).

The material connecting the inner conductors 192 can connect the inner conductors 164 from each section of the composite electrical conductor. The material connecting the inner conductors 192 may be the material used to weld the sections of the inner conductor 164 to each other. In certain embodiments, the material connecting the inner conductors 192 can be used to weld the sections of the stainless steel inner conductor to each other. In some embodiments, the material connecting the inner conductors 192 is stainless steel 304 or stainless steel 310. A third material (eg, stainless steel 309) can be used to connect the material connecting the inner conductors 192 to the ends of the inner conductor 164. A third material may be necessary or desirable to create a better connection (for example, better welding) between the inner conductor 164 and the material 19 connecting the inner conductors. The third material may be non-magnetic to reduce the possibility of a hot spot at the junction.

In certain embodiments, the material connecting the inner conductors 192 may surround the ends of the cores 188 that protrude beyond the ends of the inner conductors 164, as shown in FIG. 25. The material connecting the inner conductors 192 may include one or more parts connected to each other. The material connecting the inner conductors 192 may be located in the form of a clamping shell around the ends of the cores 188, which protrude beyond the ends of the inner conductors 164, as shown in the end view of FIG. 26. You can also use the connecting material 194 to connect to each other parts (eg, halves) connecting the inner conductors of the material 192. The connecting material 194 may be the same material as the material connecting the internal conductors 192, or another material suitable for connecting together parts of the material connecting the internal conductors.

In some embodiments, the composite electrical conductor may include stainless steel 304 or stainless steel 310 connecting inner conductors 192 and stainless steel 446 or other ferromagnetic inner conductor 164. In such an embodiment, the material connecting the inner conductors 192 can create

- 20 009586 significantly less heat than the inner conductor 164. Parts of the composite electrical conductor that comprise the material connecting the inner conductors (for example, welded parts or joints of the composite electrical conductor) may remain at a lower temperature than the adjacent material during electrical supply current into a composite electrical conductor. The reliability and durability of the composite electrical conductor can be increased by keeping the joints of the composite electrical conductor at a lower temperature.

In FIG. 27 shows another embodiment of connecting sections of a composite electrical conductor to each other. The ends of the core 188 and the ends of the inner conductors 164 are beveled to facilitate connecting sections of the composite electrical conductor to each other. The core-connecting material 290 may connect (for example, by brazing) to each other the ends of each core 188. The ends of each inner conductor 164 may be connected (for example, by welding) to each other using the inner conductor connecting material 192. The inner conductor connecting material 192 may be stainless steel 309 or other suitable welding material. In some embodiments, the material connecting the inner conductors 192 is stainless steel 309. 309 stainless steel can be welded reliably with both the inner conductor, consisting of 446 stainless steel, and the core, consisting of copper. The use of bevelled ends when connecting sections of the composite electrical conductor to each other can provide a reliable and stable connection between the sections of the composite electrical conductor. In FIG. 27 shows a welding spot made between the ends of sections that have beveled surfaces.

A composite electrical conductor can be used as a conductor in any embodiment of an electric heater described herein. In one embodiment, the composite electrical conductor can be used as a conductor in a conductor-in-channel type heater. For example, a composite electrical conductor can be used as the conductor 146 in FIG. four. In certain embodiments, a composite electrical conductor can be used as a conductor in an insulated conductor heater. In FIG. 28 shows an embodiment of an insulated conductor heater. Insulated conductor 196 may include core 188 and inner conductor 164. Core 188 and inner conductor 164 may be a composite electrical conductor. The core 188 and the inner conductor 164 may be located inside the insulator 166. The core 188, the inner conductor 164, and the insulator 166 may be located inside the outer conductor 168. The insulator 166 may be magnesium oxide or other suitable electrical insulator. Outer conductor 168 may be copper, steel, or any other electrical conductor.

In some embodiments, insulator 166 may be a preformed shape insulator. A composite electrical conductor having a core 188 and an inner conductor 164 may be located inside a preformed insulator. The outer conductor 168 may be located above the insulator 166 by connecting (for example, by welding or brazing) one or more longitudinal strips of the electrical conductor to each other to form an outer conductor. Longitudinal strips can be placed over the insulator 166 by the method of cigar winding to connect the strips in width or in the radial direction (that is, the location of the individual strips around the circumference of the insulator and the connection of the individual strips to surround the insulator). The longitudinal ends of the cigar-wrapped strips can be connected to the longitudinal ends of other cigar-wrapped ends to connect the strips in length along the insulated conductor.

In some embodiments, shroud 174 may be located outside of outer conductor 168, as shown in FIG. 29. In some embodiments, shroud 174 may be stainless steel (eg, 304 stainless steel) and outer conductor 168 may be copper. Shroud 174 may provide corrosion resistance for an insulated conductor heater. In some embodiments, shroud 174 and outer conductor 168 may be preformed strips that are pulled over insulator 166 to form an insulated conductor 196.

In some embodiments, insulated conductor 196 may be located in a conduit that provides protection (for example, to heat fluids in a production well or reduce fluid viscosity in a well). Various materials can be used in the composite electrical conductor to provide heating at low temperatures. In some embodiments, inner conductor 164 (as shown in FIG. 25-30) can be made of materials with a lower Curie temperature than that of stainless steel 446. For example, the inner conductor 164 may be an alloy of iron and nickel. The alloy may contain between about 30 and 42 wt.% Nickel, with the remainder being iron (for example, an alloy of nickel with iron, such as Invar 36, which contains about 36 wt.% Nickel in iron and has a Curie temperature of about 277 ° C) . In some embodiments, the alloy may be a ternary alloy, for example chromium, nickel and iron (for example, an alloy with 6 wt.% Chromium, 42 wt.% Nickel and 52 wt.% Iron). Inner conductor, made

- 21 009586 alloy of this type, can provide a heat output between about 250 and about 350 W / m (for example, about 300 W / m). The Invar 36 alloy core with a diameter of 2.5 cm has a reduction ratio of about 2: 1 at the Curie temperature. Placing the Invar 36 alloy on top of the copper core allows for a smaller rod diameter (for example, less than 2.5 cm). A copper core can lead to an increase in the reduction ratio (for example, more than 2: 1). The insulator 166 can be made of a polymer insulator (for example, RRL, PEEK) with high performance when using alloys with a low heat output (for example, Invar 36).

In FIG. 31 shows a temperature limited heater with a low temperature ferromagnetic outer conductor. Outer conductor 168 may be alloy 42-6 (about 42.5 wt.% Nickel, about 5.75 wt.% Chromium and the rest is iron) for glass brazing. Alloy 42-6 has a relatively low Curie temperature of about 295 ° C. Alloy 42-6 is supplied by SagreSheg Ms1a1x (Keight, PA) and Lpot! RgoisK 1ps. In some embodiments, outer conductor 168 may include other compositions and / or materials to produce different Curie temperatures. In one embodiment, the conductive layer 172 is connected (e.g., clad, welded, or brazed) to the outer conductor 168. The conductive layer 172 may be a copper layer. The conductive layer 172 can improve the reduction ratio of the outer conductor 168. The housing 174 may be of ferromagnetic metal, such as carbon steel. A casing 174 protects the outer conductor 168 from a corrosive environment. The inner conductor 164 may have an electrical insulator 166. The inner conductor 164 may be twisted nickel-plated copper wire. The electrical insulator 166 may be a wound mikalenta with a fiberglass braid located on top. In one embodiment, inner conductor 164 and electrical insulator 166 are 4/0 MCT-1000 furnace cable or 3/0 MCT-1000 furnace cable. The furnace cable 4/0 MST-1000 or the furnace cable 3/0 MST-1000 are supplied by the company Lshey XVe apy SaYe, (RhoyeshuShe, PA). In some embodiments, a protective braid (e.g., a stainless steel braid) may be placed over electrical insulator 166.

The conductive section 170 may connect the inner conductor 164 to the outer conductor 168 and / or the housing 174. In some embodiments, the housing 174 may touch or be in electrical contact with the conductive layer 172 (for example, if the heater is horizontal). If the casing 174 is a ferromagnetic metal, such as carbon steel with a Curie temperature of the casing higher than the Curie temperature of the outer conductor 168, then the current will pass only on the inner side of the casing, so that the outer side of the casing remains electrically protected during operation. In some embodiments, the housing 174 may be tensioned (e.g., crimped in a press) over the conductive layer 172, so that a snug fit between the housing and the conductive layer is provided. The heater can be wound in the form of a pipe wound on a coil for insertion into a well in an underground formation.

In some embodiments, the copper core may be coated or protected with a relatively diffusion resistant layer (e.g., nickel). In some embodiments, the composite inner conductor may include an iron coating over a nickel coating on a copper core. A relatively diffusion-resistant layer can inhibit the migration of copper into other layers of the heater, including, for example, an insulating layer. In certain types of heaters, the prohibition of copper migration may preclude the possibility of arcing during use of the heater. In some embodiments, a relatively impermeable layer may inhibit deposition of copper in the well.

In one embodiment of the heater, the inner conductor may be an iron rod with a diameter of 1.9 cm, the insulating layer may be magnesium oxide 0.25 cm thick, and the outer conductor may be 347H or 347HN stainless steel 0.635 cm thick. The heater may be supplied from a source by a substantially unchanging current with a frequency (e.g. 60 Hz) of the power line. Stainless steel can be selected to provide corrosion resistance in a gas underground environment and / or increased creep resistance at elevated temperatures. Below the Curie temperature, heat can be generated primarily by the iron inner conductor. With a heat input coefficient of about 820 W / m, the temperature difference in the insulating layer can be approximately 40 ° C. Thus, the temperature of the outer conductor can be about 40 ° C lower than the temperature of the inner ferromagnetic conductor.

In another embodiment of the heater, the inner conductor may be a rod with a diameter of 1.9 cm made of copper or a copper alloy such as LONM (about 94 wt.% Copper and 6 wt.% Nickel), the insulating layer may be transparent quartz sand, and the outer the conductor may be 1% carbon steel 0.635 cm thick, coated with stainless steel 310 0.25 cm thick. The carbon steel in the outer conductor may be clad with copper between the carbon steel and the stainless steel jacket. A copper coating can reduce the thickness of carbon steel needed to provide significant resistance changes near the Curie temperature. Heat can be generated primarily in the ferromagnetic outer conductor, which leads to a small temperature difference in the insulating layer. When heat is generated primarily in the outer conductor,

- 22 009586 then as insulation it is possible to choose a material with lower thermal conductivity. For the inner conductor, copper or copper alloy can be chosen to reduce the heat output from the inner conductor. The inner conductor can also be made of other metals that have a low electrical resistivity and a relative magnetic permeability of about 1 (i.e. e. essentially non-ferromagnetic materials, such as aluminum or aluminum alloys, phosphor bronze, beryllium bronze and / or brass).

In some embodiments, the temperature limited heater may be a conductor-in-channel heater. Ceramic insulators or centralizers may be located on the inner conductor. The inner conductor may create a sliding electrical contact with the outer channel in the sliding connector section. The sliding connector section may be located at or near the bottom of the heater.

In some embodiments, centralizers can be made of silicon nitride (8ΐ₃Ν₄) In some embodiments, silicon nitride may be sintered in a gaseous atmosphere reactively bonded with silicon nitride. Sintered in a gaseous atmosphere, reactively bonded silicon nitride is obtained by sintering silicon nitride at a temperature of about 1800 ° C in a nitrogen atmosphere with a pressure of 1500 psi (10.3 MPa) to prevent degradation of silicon nitride during sintering. An example of a gas-sintered, reactively bonded silicon nitride is Sega11ou® 147-317 from Segabupe, 1 ps. (Juice! A Meka, California). Sintered in a gaseous atmosphere, reactively bonded silicon nitride can be ground to a fine finish. The fine finish allows silicon nitride to easily glide over metal surfaces without trapping metal particles due to the very low surface porosity of silicon nitride. Sintered in a gas atmosphere, reactively bonded silicon nitride is a very dense material with high tensile strength and mechanical bending. Sintered in a gas atmosphere, reactively bonded silicon nitride can have high shock thermal stress characteristics. Sintered in a gas atmosphere, reactively bonded silicon nitride is an excellent high-temperature electrical insulator and has the same leakage current at a temperature of about 900 ° C as aluminum oxide (A1₂ABOUT₃) at a temperature of about 760 ° C. Sintered in a gaseous atmosphere, reactively bonded silicon nitride has a thermal conductivity of about 25 W / m-K, which provides good heat dissipation from the center conductor of the conductor-type heater in the channel when using centralizers or sliding connectors. Silicon nitride is also a good heat radiator, since silicon nitride is optically black (that is, it facilitates efficient heat transfer in the form of a blackbody radiator).

You can use other types of silicon nitride, including, but not limited to, reactively bonded silicon nitride or obtained by hot isostatic pressing of silicon nitride. The granular silicon nitride and additives obtained by hot pressing are sintered at a pressure of 15,000-30000 psi (100-200 MPa) in a nitrogen gas. Some silicon nitrides can be obtained by sintering silicon nitride with yttrium oxide or cerium oxide to lower the sintering temperature, so that silicon nitride does not degrade (for example, loses nitrogen) during sintering. Adding too much other material to silicon nitride can increase the leakage current of silicon nitride at elevated temperatures compared to pure forms of silicon nitride.

The use of silicon nitride centralizers allows heaters with a smaller diameter and for higher temperatures. Due to the excellent electrical characteristics of silicon nitride (for example, low leakage current at high temperatures), a smaller gap between the conductor and the channel is required. Silicon nitride centralizers make it possible to use higher voltages in heaters (for example, at least up to about 2500 V) due to the electrical characteristics of silicon nitride. Operation at higher voltages allows the use of longer heaters (for example, with lengths of at least up to about 1500 m at a voltage of about 2500 V).

In FIG. 32 shows an embodiment of a temperature limited conductor-in-channel heater. The conductor 146 can be connected (for example, clad using co-extrusion, press fit, retraction inward) with the ferromagnetic conductor 186. In some embodiments, the ferromagnetic conductor 186 can be obtained by co-extrusion from a workpiece over the conductor 146. The ferromagnetic conductor 186 can be connected to the outer side of the conductor 146, so that the alternating current extends only to the depth of the skin layer in the ferromagnetic material at room temperature. The ferromagnetic conductor 186 may provide mechanical support for the conductor 146 at elevated temperatures. The conductor 146 may provide mechanical support for the ferromagnetic conductor 186 at elevated temperatures. The ferromagnetic conductor 186 may be of iron, an iron alloy (for example, iron with from about 10 to about 27 wt.% Chromium for corrosion resistance and low Curie temperature (for example, stainless steel 446)) or any other ferromagnetic material. In one embodiment, conductor 146 is composed of copper and ferromagnetic conductor 186 is stainless steel 446. Conductor 146 and ferromagnetic conductor 186 can be electrically connected to channel 138 by sliding

- 23 009586 connector 154. Channel 138 may be of a non-ferromagnetic material such as, but not limited to, stainless steel 347. In one embodiment, channel 138 is a mode pipe 80 with a diameter of 1½ inches (38 mm) of 347H stainless steel. . One or more centralizers 202 may maintain a gap between the channel 138 and the ferromagnetic conductor 186. In one embodiment, the centralizer 202 is made of sintered in a gas atmosphere, reactively bonded silicon nitride.

In FIG. 33 shows another embodiment of a temperature limited conductor-in-channel heater. Channel 138 may be connected to ferromagnetic conductor 186 (e.g., clad using press fit, retracting inward of the ferromagnetic conductor). The ferromagnetic conductor 186 may be connected to the inner side of the channel 138 to allow the passage of alternating current at a depth of the skin layer of the ferromagnetic conductor at room temperature. Channel 138 may provide mechanical support for ferromagnetic conductor 186 at elevated temperatures. Channel 138 and ferromagnetic conductor 186 can be connected to conductor 146 using a sliding connector 154.

In FIG. 34 shows an embodiment of a temperature limited heater of the type insulated conductor in a channel. The insulated conductor 196 may include a core 188, an electrical insulator 166, and a casing 174. The insulated conductor 196 may be connected to the ferromagnetic conductor 186 using a connector 200. Connector 200 may be made of corrosion resistant, electrically conductive materials such as nickel or stainless steel . Connector 200 may be connected to insulated conductor 196 and / or ferromagnetic conductor 186 using suitable electrical connection methods (e.g., welding, soldering, brazing). The insulated conductor 196 may be located along the wall of the ferromagnetic conductor 186. The insulated conductor 196 may provide mechanical support for the ferromagnetic conductor 186 at elevated temperatures. In some embodiments, other structures (eg, a channel) can be used to provide mechanical support for the ferromagnetic conductor 186.

In FIG. 35 and 36 show a cross section of a heater in one temperature limited embodiment that includes an insulated conductor. In FIG. 35 is a sectional view of a temperature limited heater section passing through a coating layer in one embodiment. The section passing through the overburden may include an insulated conductor 196 located in channel 138. Channel 138 may be a mode 80 pipe of carbon steel with a diameter of 1 ¼ inch (32 mm), clad inside with copper in the section passing through the coating layer. Insulated conductor 196 may be a mineral insulated cable. The conductive layer 172 may be located in the annular space between the insulated conductor 196 and the channel 138. The conductive layer 172 may be a copper pipe with a diameter of about 2.5 cm The section passing through the coating layer may be connected to the heating section of the heater. In FIG. 36 is a sectional view of an embodiment of a heating section of a temperature limited heater. The insulated conductor 198 in the heating section may be a continuation of the insulated conductor from the section passing through the overburden. The ferromagnetic conductor 186 may be connected to the conductive layer 172. In certain embodiments, the conductive layer 172 in the heating section may be copper drawn over the ferromagnetic conductor 186 and connected to the conductive layer 172 in the section passing through the coating layer. Channel 138 may include a heating section and a section passing through the overburden. These two sections can be connected to each other to form a channel 138. The heating section can be a pipe mode 80 stainless steel 347H with a diameter of 1 ¼ inch (32 mm). A ferrule or other suitable electrical connector may connect the ferromagnetic conductor 186 to an insulated conductor 196 at the lower end of the heater (i.e., the end farthest from the section passing through the overburden).

In FIG. 37 and 38 are sectional views of an embodiment of a temperature limited heater that includes an insulated conductor. In FIG. 37 is a sectional view of an embodiment of a limited temperature heater section passing through the coating layer. The insulated conductor 196 may include a core 188, an electrical insulator 166, and a housing 174. The insulated conductor 196 may have a diameter of about 1.5 cm. The core 188 may be made of copper. Electrical insulator 166 may be magnesium oxide. The casing 174 may be made of copper in a section passing through the overburden to reduce heat loss. Channel 138 may be a carbon steel mode 40 pipe with a diameter of 1 inch (25 mm) in a section passing through the overburden. The conductive layer 172 may be connected to the channel 138. The conductive layer 172 may be made of copper with a thickness of about 0.2 cm to reduce heat loss in the section passing through the overburden. The gap 198 may be an annular space between the insulated conductor 196 and the channel 138. In FIG. 38 is a sectional view of an embodiment of a heating section of a temperature limited heater. The insulated conductor 196 in the heating section may be connected to the insulated conductor 196 in a section passing through the overburden. The casing 174 in the heating section may

- 24 009586 be made of a material resistant to corrosion (for example, stainless steel 825). Ferromagnetic conductor 186 may be connected to channel 138 in a section passing through the overburden. The ferromagnetic conductor 186 may be a 408, 410, or 446 stainless steel tube 160. A gap 198 may be formed between the ferromagnetic conductor 186 and the insulated conductor 196. A ferrule or other suitable electrical connector may connect the ferromagnetic conductor 186 to the insulated conductor 196 at the far end of the heater (i.e., the end farthest from the section passing through the overburden).

In certain embodiments, a temperature limited heater may include a flexible cable (e.g., a furnace cable) as an internal conductor. For example, the inner conductor may be twisted copper wire coated with 27% nickel or stainless steel with four layers of mica tape surrounded by a layer of ceramic or mineral fiber (e.g. alumina fiber, aluminosilicate fiber, borosilicate fiber or aluminosilicate fiber). Stranded copper wire furnace cable coated with stainless steel is supplied by Lposhs1 Rtobisy, 1ps. (BETTER, MA). The inner conductor may be suitable for use at temperatures up to about 1000 ° C. The inner conductor may be pulled into the channel. The channel may be a ferromagnetic channel (for example, pipe mode 80 of stainless steel 446 with a diameter of 3/4 inch (19 mm)). The channel may be coated with a layer of copper or other electrical conductor with a thickness of about 0.3 cm or with another suitable thickness. The assembly can be located inside the reference channel (for example, mode 80 pipe made of 347H or 347HN stainless steel with a diameter of 1¼ inch (32 mm)). The reference channel can provide additional long-term strength and protection for copper and the inner conductor. For use at temperatures above about 1000 ° C, the inner copper conductor can be coated with a more corrosion-resistant alloy (for example, 1pso1ou® 825) to prevent oxidation. In some embodiments, the top of a temperature limited heater may be sealed to prevent air from contacting the inner conductor.

In some embodiments, the temperature-limited ferromagnetic conductor of the temperature limited heater may include a copper core (e.g., a copper core with a diameter of 1.27 cm) located inside the first steel channel (e.g., mode 80 pipe made of stainless steel with a diameter of 1/2 inch (13 mm )). A second steel channel (for example, a mode 80 pipe of 446 stainless steel with a diameter of 1 inch (25 mm)) can be tensioned over the assembly of the first steel channel. The first steel channel can provide strength and creep resistance, while the copper core can provide a high reduction ratio.

In some embodiments, the ferromagnetic conductor of a temperature limited heater (e.g., the center or inner conductor of a temperature limited heater such as a conductor in a channel) may include a thick wall channel (e.g., a particularly thick wall 410 stainless steel pipe). The thick-walled channel may have a diameter of about 2.5 cm. The thick-walled channel may be stretched over a copper rod. The copper rod may have a diameter of about 1.3 cm. The resulting heater may include a thick ferromagnetic shell (for example, a channel with thick walls, for example with an outer diameter of about 2.6 cm after pulling), containing a copper rod. The heater may have a reduction ratio of about 8: 1. The thickness of the channel with thick walls can be selected to prevent deformation of the heater. A thick ferromagnetic channel can provide resistance to deformation with a minimum increase in the cost of the heater.

In another embodiment, the temperature limited heater may include a substantially i-shaped heater with a ferromagnetic coating over the non-ferromagnetic core (in this context, it may have a curved or, alternatively, rectangular shape). The I-shaped heater or a heater in the form of a hairpin may have an insulated support mechanism (for example, polymer or ceramic spacers), which eliminates the electrical short circuit of the two shoulders of the hairpin with each other. In some embodiments, the Figurative heater may be installed in the housing (for example, in a housing that protects from the environment). Insulators can inhibit electrical short circuits on the housing and can facilitate the installation of a heater in the housing. The cross section of the I-shaped heater may be, but is not limited to, round, elliptical, square or rectangular.

In some embodiments, a temperature limited heater may include a layered structure, wherein the current supply and return paths are separated by an insulator. The layered heater may include two outer layers of the conductor, two inner layers of the ferromagnetic material and an insulator layer between the ferromagnetic layers. The cross-sectional dimensions of the heater can be optimized to provide mechanical flexibility and the possibility of winding into a coil. The layered heater can be made in the form of a bimetallic strip, which is bent by itself. The layered heater may be inserted into the housing, such as an environmental protection housing, and may be separated from the housing by an electrical insulator.

The heater may include a section that passes through the coating layer. In some embodiments, the part of the heater in the overburden should not supply as much heat as the part of the heater adjacent to the hydrocarbon layers that are subject to in-situ conversion. In certain embodiments, the substantially non-heating section of the heater may have a limited heat output or no heat output. Essentially, the non-heating section of the heater may be located near formation layers (e.g., rock formations not containing hydrocarbon formations or lean formations) that preferably remain unheated. Essentially, the non-heating section of the heater may include a copper conductor instead of a ferromagnetic conductor. In some embodiments, the substantially non-heating section of the heater may include a copper outer conductor clad with a corrosion-resistant alloy. In some embodiments, the section passing through the coating layer may include a relatively thick ferromagnetic portion to prevent creasing of the heater in the section passing through the coating layer.

In certain embodiments, the heater may release some heat to the coating layer. Heat supplied to the overburden may inhibit the reflux or condensation of formation fluids (e.g., water, gasoline) in the well. Refluxing fluids can use most of the heat energy supplied to the target section of the formation, thereby limiting the transfer of heat from the well to the target section.

A temperature limited heater may consist of sections that are connected (e.g., welded) to each other. Sections can have a length of about 10 m. Structural materials for each section can be selected to provide selective heat output for different parts of the formation. For example, a reservoir of oil shales may contain layers with highly variable productivity. Providing the selected amount of heat for individual layers or several layers with similar productivity can improve the efficiency of heating the formation and / or eliminate the destruction of the well. A docking section may be formed between the sections, for example, by welding the inner conductors, filling the docking section with an insulator, and then welding the outer conductors. As an alternative solution, the heater can be formed from pipes of large diameter and stretched to the desired length and diameter. The magnesium oxide insulating layer can be added using a weld-fill-pull type method (starting with a metal strip) or a fill-pull type method (starting with pipes), well known in the mineral insulating heating cable industry. Assembly and filling can be done horizontally or vertically. The end node of the heater can be wound on a drum of large diameter (for example, about 6 m in diameter) and transported to the formation site for underground deployment. As an alternative, the heater can be assembled at the site in sections as the heater is vertically lowered into the well.

The temperature limited heater may be a single phase heater or a three phase heater. In an embodiment with a three-phase heater, the heater may have a triangle or star configuration. Each of the three ferromagnetic conductors in a three-phase heater can be inside a separate shell. The connection between the conductors can be made at the bottom of the heater inside the docking section. Three conductors may remain insulated from the sheath inside the docking section.

In some embodiments, a temperature limited heater may include a single ferromagnetic conductor with current return through the formation. The heating element may be a ferromagnetic pipe (for example, stainless steel 446 (with 25% chromium and a Curie temperature above about 620 ° C), coated on top with stainless steel 304H, 316H or 347HN), which passes through the heated target section and comes into electrical contact with the formation in the electrically contacting section. The electrically contacting section may be located below the heated target section (for example, in the underlying layer of the reservoir). In one embodiment, the electrically contacting section may be a section about 60 m deep with a large borehole. The pipe in the electrically contacting section may be of metal with high electrical conductivity. The annular space in the electrically contacting section may be filled with a contact material or solution, such as brine or other materials that increase electrical contact with the formation (for example, metal droplets, hematite). The electrically contacting section may be located in a brine-saturated zone to maintain contact through the brine. In an electrically contacting layer, the pipe diameter can also be increased to provide maximum current in the formation with little heat dissipation in the fluids. Current can pass through the ferromagnetic pipe in the heated section and heat the pipe.

On Fig shows an embodiment of a temperature limited heater with a return current through the reservoir. The heating element 212 can be placed in the hole 118 in the hydrocarbon layer 120. The heating element 210 can be stainless steel 446, coated on top with a stainless steel pipe 304H, which passes through the hydrocarbon layer 120. The heating element 212 can be connected to the contact element 214. Contact element 214 may have higher electrical conductivity than heating element 212. Contact element 214 may

- 26 009586 to be located in the electrically contacting section 216 located below the hydrocarbon layer 120. The contact element 214 is in electrical contact with the earth in the electrically contacting section 216. The contact element 214 may be located in the contacting hole 218. The contact element 214 may have a diameter of approximately between 10 and 20 cm (for example, about 15 cm). The diameter of the contact element 214 can be selected to increase the contact surface between the contact element 214 and the contact solution 220. The contact surface can be increased by increasing the diameter of the contact element 214. Increasing the diameter of the contact element 214 can increase the contact surface without a large increase in the cost of installation and use of the contact element, contact wells 218 and / or contact solution 220. An increase in the diameter of the contact element 214 can ensure that sufficient electrical contact is maintained between the contact element and the electrically contacting section 216. An increase in the contact surface also prevents the evaporation or boiling of the contact solution 220.

The contact well 218 may, for example, be a section about 60 m deep with a well diameter greater than the hole diameter 118. The annular space of the contact well 218 may be filled with contact solution 220. Contact solution 220 may be saline or other material that facilitates electrical contact with electrically contacting section 216. In some embodiments, the electrically contacting section 216 is a water saturated zone that maintains electrical contact through brine. The contact hole 218 can be expanded to a larger diameter (for example, a diameter between about 25 and about 50 cm) to allow maximum current to flow into the electrically contact section 216 with a low heat output. The current can pass through the heating element 212 with boiling moisture from the well and heating until the heat output decreases near or at the Curie temperature.

In one embodiment, a three-phase temperature limited heater may be configured to be current coupled through the formation. Each heater may include a single heating element with a Curie temperature, while the electrically contacting section is located in the brine-saturated zone below the heated target section. In one embodiment, three such heaters can be electrically connected to the surface according to a three-phase star pattern. Heaters can be deployed from the surface in a triangular pattern. In certain embodiments, current returns through the earth to a neutral point between the three heaters. Three-phase heaters with a Curie temperature can be repeated according to a pattern that covers the entire formation.

In FIG. 40 shows an embodiment of a three-phase temperature limited heater with current connection through the formation. The shoulders 222, 224, 226 may be located in the formation. Each arm 222, 224, 226 may have a heating element 212 located in each hole 118 in the hydrocarbon layer 120. Each arm may have a contact element 214 located in the contact solution 220 in the contact well 218. Each contact element 214 can be connected to the electrically contacting section 216 through the contact solution 220. The shoulders 222, 224, 226 can be connected in a star pattern, which leads to the appearance of a neutral point in the electrically conductive section 216 between the three shoulders. In FIG. 41 is a top view of the embodiment of FIG. 40, while the neutral point 228 is located centrally between the shoulders 222, 224, 226.

The heater section passing through the zone with high thermal conductivity can be configured to provide greater heat dissipation in the zone with high thermal conductivity. The heater can be adjusted by changing the cross-sectional area of ​​the heating elements (for example, by changing the area ratio of the copper element to the iron element) and / or using various metals in the heating elements. The thermal conductivity of the insulating layer can also be changed in certain sections to control the heat output in order to increase or decrease the apparent Curie temperature.

In one embodiment, the temperature limited heater may include a hollow core or a hollow inner conductor. The layers forming the heater can be perforated to allow fluids to flow from the well (e.g., formation fluids, water) into the hollow core. The fluids in the hollow core can be transported (for example, pumped) to the surface through the hollow core. In some embodiments, a temperature limited heater with a hollow core or hollow inner conductor can be used as a heating / production well or production well.

In one embodiment, a temperature limited heater may be used in a horizontal heating / production well. A temperature limited heater may provide a selected amount of heat in the toe and heel of the horizontal portion of the well. More heat can be fed into the formation through the finger than through the heel, with the formation of the hot part of the finger and the warm part of the heel.

In FIG. Figure 42 shows the dependence of electrical resistance on temperature at various supplied electric currents for a 446 stainless steel rod with a diameter of about 2.5 cm and a 410 stainless steel rod with a diameter of about 2.5 cm. Curves 230-236 show a profile

- 27 009586 resistance depending on temperature for a 446 stainless steel rod with an alternating current of 440 A (curve 230), 450 A (curve 232), 500 A (curve 234) and a direct current of 10 A (curve 236). Curves 238-244 show the resistance profile as a function of temperature for a 410 stainless steel rod with alternating current 400 A (curve 238), 450 A (curve 240), 500 A (curve 242) and a direct current of 10 A (curve 244). For both rods, the resistance gradually increases with increasing temperature until the Curie temperature is reached. At Curie temperature, the resistance drops sharply. Above the Curie temperature, the resistance decreases slightly with increasing temperature. Both rods tend to decrease resistance with increasing alternating current. Accordingly, the reduction ratio decreases with increasing current. In contrast, the resistance gradually increases with increasing temperature, including the Curie temperature, with direct current applied.

In FIG. 43 shows the temperature dependence of electrical resistance at various supplied currents for a temperature limited heater. The temperature limited heater includes a 4/0 MST-1000 furnace cable inside an external conductor of mode 80 8ap6u1k (Sweden) 4C54 (stainless steel 446) with a diameter of 3/4 inch (19 mm) and a copper sheath 0.3 cm thick, welded on the outside outer conductor 8ap6u1k 4S54. Curves 246-264 show the resistance profiles depending on temperature for the supplied alternating current in the range from 40 to 500 A (246: 40A, 248: 80 A, 250: 120 A, 252: 160 A, 254: 250 A, 256: 300 A, 258: 350 A, 260: 400 A, 262: 450 A, 264: 500 A). At low currents (below 250 A), the resistance increases with increasing temperature to the Curie temperature. At Curie temperature, the resistance drops sharply. At high currents (over 250 A), the resistance decreases slightly with increasing temperature to the Curie temperature. At Curie temperature, the resistance drops sharply. Curve 266 shows the resistance when applying a constant electric current of 10 A. Curve 266 shows a gradual increase in resistance with increasing temperature with little or no deviation at the Curie temperature.

In FIG. 44 shows the dependence of power on temperature at various supplied currents for a temperature limited heater. Curves 268-276 show the dependence of power on temperature for the supplied alternating current in the range from 300 to 500 A (268: 300 A, 270: 350 A, 272: 400 A, 274: 450 A, 276: 500 A). With increasing temperature, the power gradually decreases until the Curie temperature is reached. At Curie temperature, the power decreases sharply.

In FIG. Figure 46 shows the thickness of the skin layer as a function of temperature for a solid 410 stainless steel rod with a diameter of 2.54 cm at various alternating currents. The thickness of the skin layer was calculated using formula 2:

δ = Κι - К, (1 - (1 / К._AC/TO_os))^1/2 (2) where δ is the thickness of the skin layer, Щ is the radius of the cylinder, K_AC - resistance to alternating current and K_SS resistance to a direct current. In FIG. 46, curves 292-310 show skin thickness profiles versus temperature for the supplied alternating current in the range from 50 to 500 A (292: 50 A, 294: 100 A, 296: 150 A, 298: 200 A, 300: 250 A, 302: 300 A, 304: 350 A, 306: 400 A, 308: 450 A, 310: 500 A). With each alternating electric current supplied, the depth of the skin layer gradually increases with increasing temperature to the Curie temperature. At Curie temperature, the depth of the skin layer increases sharply.

In FIG. 47 shows temperature versus time for a temperature limited heater. The temperature limited heater had a length of about 2 m and included a copper rod with a diameter of about 1.25 cm inside a 410 stainless steel ХХН pipe and a 0.13 cm thick copper sheath. The heater was placed in a furnace for heating. When the heater was in the furnace, alternating current was supplied to it. The current was increased for approximately 2 hours, and it remained at a relatively constant value of about 400 A for the rest of the time. The temperature of the stainless steel pipe was measured at three points with an interval of about 0.5 m along the length of the heater. Curve 316 shows the temperature of the pipe at a point located about 0.5 m inside the furnace and closest to the front of the heater. Curve 314 shows the temperature of the pipe at a point located about 0.5 m from the end of the pipe and farthest from the front of the heater. Curve 312 shows the temperature of the pipe near the center point of the heater. The point at the center of the heater was additionally enclosed in a 30 cm length section of 2.54 cm thick HbcGy * insulation. The insulation was used to create a low thermal conductivity section on the heater (i.e. sections where heat transfer to the environment is slow or excluded (hot spot). The low thermal conductivity section may represent, for example, a rich layer in a hydrocarbon containing formation (e.g., oil shale formation). The temperature of the heater increases over time, as curves 312, 314, and 316 show. Curves 312, 314, and 316 show that the temperature of the heater increases to approximately the same value at all three points along the length of the heater. The temperatures achieved were essentially independent of the added insulation of LtGmax®. Thus, the temperature limited heater did not exceed the selected temperature limit in the presence of a section with low thermal conductivity.

In FIG. 48 shows the dependence of temperature on the logarithm of time for a stainless steel rod

- 28 009586 410 steel and stainless steel rod 304. With a constant supplied alternating electric current, the temperature of each rod increased with time. Curve 322 shows data for a thermocouple located on the outer surface of a 304 stainless steel rod and under an insulation layer. Curve 324 shows data for a thermocouple located on the outer surface of a 304 stainless steel rod and without an insulation layer. Curve 318 shows data for a thermocouple located on the outer surface of a 410 stainless steel rod and under an insulation layer. Curve 320 shows data for a thermocouple located on the outer surface of a 410 stainless steel rod and without an insulation layer. A comparison of the curves shows that the temperature of the 304 stainless steel rod (curves 322 and 324) rises faster than the temperature of the 410 stainless steel rod (curves 318 and 320). The temperature of the stainless steel rod 304 (curves 322 and 324) also reaches higher values ​​than the temperature of the stainless steel rod 410 (curves 318 and 320). The temperature difference between the non-insulated section of the 410 stainless steel rod (curve 320) and the insulated section of the 410 stainless steel (curve 318) was less than the temperature difference between the non-insulated section of the 304 stainless steel rod (curve 324) and the insulated section of the 304 stainless steel rod (curve 322). The temperature of the 304 stainless steel rod increased at the end of the experiment, while the temperature of the 410 stainless steel rod stabilized.

Digital modeling (using the ΡΤυΕΝΤ computer program) was used to compare the operation of temperature limited heaters with three reduction ratios. Modeling was performed for heaters in the oil shale formation (Sgeep Kgueg oil shale). Modeling Conditions:

m length of heaters with a Curie temperature of the type of conductor in the channel (central conductor with a diameter of about 2.54 cm, a channel with an outer diameter of about 7.3 cm);

formation productivity profile for testing a heater in a well for oil shale formation;

wells with a diameter of about 16.5 cm with a distance of about 9.14 m between wells when arranged in a triangle shape;

200 h linear increase in power to an initial heat input rate of 820 W / m; work with constant current after increasing power;

Curie temperature of the heater 720.6 ° C;

the layer swells and touches the heater filters when the oil shale productivity is more than 35 gal / t (0.14 l / kg).

In FIG. 49 shows the temperature change of the central conductor of the conductor-type heater in the channel as a function of the formation depth for a heater with a Curie temperature with a reduction ratio of 2: 1. Curves 326-348 show temperature profiles in the formation at different times, starting from 8 days after the start of heating and up to 675 days after the start of heating (326: 8 days, 328: 50 days, 330: 91 days, 332: 133 days, 334: 216 days, 336: 300 days, 338: 383 days, 340: 466 days, 342: 550 days, 344: 591 days, 346: 633 days, 348: 675 days). With a reduction ratio of 2: 1, the Curie temperature of 720.6 ° C was exceeded after about 466 days in the richest layers of oil shale. In FIG. fifty the corresponding heater heat flux through the formation is shown for a 2: 1 reduction ratio along with the oil shale productivity profile (curve 384). Curves 350-382 show the heat flux profiles at different times, starting from 8 days after the start of heating and up to 675 days after the start of heating (350: 8 days, 352: 50 days, 354: 91 days, 356: 133 days, 358: 175 days, 360: 216 days, 362: 258 days, 364: 300 days, 366: 341 days, 368: 383 days, 370: 425 days, 372: 466 days, 374: 508 days, 376: 508 days, 378: 591 day, 380: 633 days, 382: 675 days). With a 2: 1 reduction ratio, the temperature of the central conductor exceeded the Curie temperature in the richest layers of oil shale.

In FIG. 51 shows a change in heater temperature as a function of formation depth for a 3: 1 reduction ratio. Curves 386–408 show temperature profiles in the formation at different times, starting from 12 days after the start of heating and up to 703 days after the start of heating (386: 12 days, 388: 33 days, 390: 62 days, 392: 102 days, 394: 146 days, 396: 205 days, 398: 271 days, 400: 354 days, 402: 467 days, 404: 605 days, 406: 662 days, 408: 703 days). With a reduction ratio of 3: 1, the Curie temperature was approximately reached after 703 days. In FIG. 52 shows the corresponding heat flow of the heater through the formation for a 3: 1 reduction ratio along with the oil shale productivity profile (curve 432). Curves 410-430 show the heat flux profiles at different times, starting from 12 days after the start of heating and up to 749 days after the start of heating (410: 12 days, 412: 32 days, 414: 62 days, 416: 102 days, 418: 146 days, 420: 205 days, 422: 271 days, 424: 354 days, 426: 467 days, 428: 605 days, 430: 749 days). With a reduction ratio of 3: 1, the temperature of the center conductor never exceeded the Curie temperature. In addition, the temperature of the center conductor had a relatively flat temperature profile for a reduction ratio of 3: 1.

In FIG. 53 shows a change in heater temperature as a function of formation depth for a 4: 1 reduction ratio. Curves 434-454 show temperature profiles in the formation at different times, starting from 12 days after the start of heating and up to 678 days after the start of heating (434: 12 days,

- 29 009586

436: 33 days, 438: 62 days, 440: 102 days, 442: 147 days, 444: 205 days, 446: 272 days, 448: 354 days, 450: 467 days, 452: 606 days, 454: 678 days) . With a reduction ratio of 4: 1, the Curie temperature was not exceeded even after 678 days. With a 4: 1 reduction ratio, the temperature of the center conductor never exceeded the Curie temperature. In addition, the temperature profile of the center conductor for the 4: 1 reduction ratio was slightly flatter than the temperature profile for the 3: 1 reduction ratio. Modeling showed that the temperature of the heater remains equal to or lower than the Curie temperature for a long time at higher reduction ratios. For this oil shale productivity profile, a reduction ratio of more than 3: 1 may be desirable.

To predict the behavior of a ferromagnetic material and / or other materials during formation heating, analytical solutions for the AC conductivity of ferromagnetic materials can be used. The AC conductivity of a wire of uniform cross section made of a ferromagnetic material can be determined analytically. For a wire with radius k, the magnetic permeability, dielectric constant, and electric conductivity can be denoted, respectively, by μ, ε, and σ. The parameter μ is considered as a constant value (i.e., independent of the strength of the magnetic field).

Maxwell's equations read:

<img file="EA009586B1_D0001.tif" />

The equations for the conductor for field coupling are

P = εΕ; B = μΗ; I = σ Ε

Substitution of equations 7 into equations 3-6 at ρ = 0 and relation (7)

<img file="EA009586B1_D0002.tif" />

gives the following equations:

It should be noted that equation 12 follows from equation 13. After calculating the divergence, taking the rotor of equation 11 using the fact that for any vector function E '(14)

Y x V xP = y (V. G) - V² G and applying equation 10, we deduce

V² = 0 (15) where

FROM¹ =) μωσ_£η (16) with a_e(t = σ +] ωε

For a cylindrical wire is accepted

E5 = E₅(d) to which means that E§ (r) satisfies condition (17) (18)

<img file="EA009586B1_D0003.tif" />

(20)

The general solution for equation 19 is

E₈(g) = A1o (Cr) + VKo (Cr)

B must go to zero, since K₀ is singular at r = 0, so we get

<img file="EA009586B1_D0004.tif" />

- 30 009586

The output of the wire power per unit length (P) is

<img file="EA009586B1_D0005.tif" />

and mean squared current (&lt;Ι²&gt;) is equal

<img file="EA009586B1_D0006.tif" />

obtaining the effective resistance formula on

Equations 22 and 23, you can use the unit length (K) of the wire:

for

<img file="EA009586B1_D0007.tif" />

the second term on the right side of equation 24 is obtained under the assumption that σ is constant.

C can be expressed through its real part (C_TO) and the imaginary part (Su):

C = C_to + ί C; (25)

You can get an approximate solution for SK. SK can be selected positive. You must also know the following values:

| with | = {s_to² + s?}^1/2 (26) uES / | s | = γ_κ + ίγι

A large value of Ke (x) gives (27)

<img file="EA009586B1_D0008.tif" />

It means that

E₃(d) “E₅ (B) e- * (29) where ξ = | c | (b-d)

Substituting equation 29 into equation 24 gives an approximate result | s | / 2 1s |²/ {2C_to} (30) (31) where

2 spider 2π6σ

Equation 31 can be written as

K. = 1 / (2π6δσ) (32) δ = 2SK / 1C |² “Ν2 / (ωμσ) δ is known as the depth of the skin layer, and the approximate value appears in equation 33 due to the replacement of σ_££ on σ.

Equation 29 can be obtained directly from equation 19. The transformation in the variable ξ (33) gives

<img file="EA009586B1_D0009.tif" />

where ε = 1 / (a ​​| C |)

The solution of equation 34 can be written in the form (35)

- 31 009586 when

<img file="EA009586B1_D0010.tif" />

<img file="EA009586B1_D0011.tif" />

<img file="EA009586B1_D0012.tif" />

The solution to equation 37 is

E ^ = E₅(but_{) e}· (39) and the solutions of equation 38 for successive m can be written, for example, in the form

E₃⁽¹⁾ = 1/2 E₃ (a) cc (40)

The AC conductivity of a composite wire having ferromagnetic materials can also be determined analytically. In this case, the region 0 &lt;r &lt;a may consist of material 1, and the region a &lt;r &lt;b may consist of material 2. Denoting the electric fields in these two regions, respectively, as E₃₁(t) and E₃₂(t), we obtain

<img file="EA009586B1_D0013.tif" />

Where

<img file="EA009586B1_D0014.tif" />

Sk =]_eJak; k = 1, 2 (43)

Steak = ak +) ®bq; k = 1.2.

The solutions of equations 41 and 42 must satisfy the boundary conditions

E₃1 (a) = E₃₂ (a) (44;

(45) and have the form

N₃₁(a) = H₅₂(a) (46)

Yo₃1 (g) = A₁1₀(C | d) (47) (48)

E₃₂(g) = A₂1o (C₂d) + B₂Ky (C2g).

Using equation 11, the boundary conditions in equation 46 can be expressed by the parameters of the electric field in the form

<img file="EA009586B1_D0015.tif" />

The application of two boundary conditions in equations 45 and 49 allows us to express E₃1 (t) and E₃₂(d) in the parameters of the electric field on the surface of the wire E₃₂(B). Equation 45 gives

A] 1o (C] a) = A₂1o (C₂a) = B₂Ko (C₂a) while equation 49 gives (50)

A. U.S. ^ a) = C₂{D₂11 (C₂a) =

When writing equation 51, it was taken into account that (51)

- 32 009586 (52)

<img file="EA009586B1_D0016.tif" />

C1 - Οι / μι; FROM₂ -- FROM₂/ c₂

Solving equation 50 for A₂ and B₂ relative to A_b we get

FROM₂1₀(C1a) K1 (C₂a) + C₁11 (C1a) Co (C₂a) (53)

BUT₂ = Αι (54)

FROM₂(1₀(FROM₂a) K1 (C₂a) + 11 (C₂a) MS₂but)}

FROM₂1o (C1a) 11 (C₂a) + CC ^ a) 1o (C₂but)

Β₂ = Αι (55)

FROM₂{1 ° (C₂a) K, (C₂a) + 11 (C₂a) Co (C₂but)}

The output of power per unit length and the alternating current resistance of the composite wire can be obtained using a method similar to the method of calculating a uniform wire. In some cases, if the depth of the skin layer of the conductor is small compared to the radius of the wire, functions containing C2 may become too large and can be replaced by exhibitors. However, as the temperature approaches the Curie temperature, a complete solution may be necessary.

The dependence of μ on B can be interpreted iteratively by first solving the equations for a constant μ to determine B. Then, the known curves of the dependence of B on H for a ferromagnetic material can be used for iteration to determine the exact value of μ in the equations.

For those skilled in the art, other modifications and alternative embodiments of various aspects of the invention may be apparent in light of this description. In accordance with this description should be considered only as an illustration to familiarize specialists with the main directions of the invention. It should be understood that the above and described forms of the invention are currently preferred embodiments. Elements and materials can be replaced by the elements and materials shown and described, parts and processes can be reversed, and certain features of the invention can be used independently, which is clear to those skilled in the art based on the description of the invention. You can make changes to the described elements without departing from the idea and scope of the invention presented in the following claims. Additionally, it should be understood that the features described herein as independent can be combined in certain embodiments.