Numerical simulation of two-phase fluid filtration in heterogeneous media

The paper deals with the numerical solution of problems of two-phase filtration. The statement of the problem is given in terms of the velocity, pressure and saturation. To approximate the velocity and pressure, we use the mixed finite element method. For discretizating the convective term in the equation for saturation, we apply the flow schemes. The results of the numerical solution of the model problem for heterogeneous media are presented.