Absorbent articles with rapid acquiring absorbent cores

Absorbent articles such as disposable diapers, incontinent pads, sanitary napkins and the like that have absorbent cores that are suitable for rapidly acquiring and containing liquid in an especially effective and efficient manner. The absorbent core comprises a storage layer comprising hydrophilic fibrous material and discrete particles of absorbent gelling material and having an acquisition aperture so it can quickly acquire this discharged liquid; and a liquid handling layer comprising a resilient material that is moisture insensitive so to rapidly acquire liquids into itself through the acquisition aperture and distribute the liquid throughout the liquid handling layer to the storage layer. The storage layer also allows the liquid handling layer to be "drained" of the liquid that is acquired so that the liquid handling layer may have sufficient capacity to acquire and distribute subsequent loading of liquids.