A result of existence for a model of two-phase flow in a porous medium made of different rock types
Alain P. Bourgeat, Abdelkader Hidani · Applicable Analysis · 1995
We consider a model describing two-phase immiscible and incompressible flows in a porous medium made of different rock types. This model leads to two coupled non-linear equations, the first one is elliptic and the other one is a degenerated equation of advection-diffusion, with nonlinear transmission conditions at the interface between different rock types. By mean of a mixed formulation, we obtain a result of existence and we give some results on the uniqueness.