Three models for two phase flow in porous media

Abstract

We compare three different models of two phase flow in a porous medium; the standard Darcy/Buckley–Leverett model, the Brinkman model and the Helmholtz model. These three models are all singular perturbations of the inviscid Darcy model, and thus have the same formal limits. The existence of such limits have not been proved mathematically, and in this paper we investigate numerically whether limits exist, and whether they are similar.