“…Solving the problem of two-phase flow in porous medium presented an increased interest since oil can replace air in the two-phase definition and thus address practical issues related to the oil industry. Different approaches were developed [Youngs and Peck, 1964;McWhorter, 1971;MorelSeytoux, 1973;Wooding and Morel-Seytoux, 1976;Sander and Parlange, 1984;Sander et al, 1988aSander et al, , 1988bSander et al, , 1988cWeir and Kissling, 1992;Celia and Binning, 1992;Sander et al, 1993;Weeks et al, 2003]. Following McWhorter [1971], the basic equation describing the flux of water, f w , affected by the flux of air, f a , that was solved by Sander et al [1988cSander et al [ , 1993 is…”