Abstract
In this paper, the problem of two-phase flow in porous media including dynamic capillary pressure has been studied numerically. The IMplicit Pressure Explicit Saturation (IMPES) scheme has been modified to solve the governing equations. The pressure equation is treated implicitly with the saturation equation to obtain the pressure, while the saturation equation is solved explicitly to update the saturation at each time step. We introduce stability analysis of the modified scheme and its stability condition has been derived. Comparison between the static and the dynamic capillary pressure has been introduced to illustrate the efficiency of the modified scheme.