Devices for use in heterogeneous ligand-receptor assays, having a porous member in contact with a nonabsorbent textured surface, where the surface texturing is such that a capillary network is formed when in fluid communication with the porous member. More particularly, these devices comprise:(a) a porous member having (i) at least one binding agent capable of immobilizing at least one target ligand on the porous member from a fluid sample in at least one zone and (ii) a means for detecting the presence or amount of said target ligand as a result of the assay process; and(b) a nonabsorbent member in fluid communication with the porous member, the nonabsorbent member forming at least one capillary with the porous member so that when sample, alone or in combination with other fluids, is added to the porous member, fluid is drawn through the porous member.