Methods for producing composite structures with a plurality of absorbent foam particulates between substrates, wherein the method includes providing a carrier substrate. The carrier substrate may comprise a pre-determined pattern. The pre-determined pattern may comprise z-directional deflections. The methods may also comprise placing a plurality of absorbent foam particulates onto the carrier substrate, forming a loaded carrier substrate. The methods may further comprise providing a particulate settling means enabled to affect the loaded carrier substrate, affecting the loaded carrier substrate, forming a settled carrier substrate. The methods may further comprise associating a cover with the settled carrier substrate, forming a composite structure.