The numerical method for solution of the problem of two-dimensional (x-y) biphasic (water-crude oil) unsteady flow through porous media

This research presents a numerical model used to solve the problem of biphasic water-crude oil flow, under the influence of capillary pressure and the gravitational effect in a two-dimensional x-y space. The novelty counts in the solution model of the system of equations resulting from the development in finite differences which led to the removal of some errors that affected especially the saturation values. For the case of water-crude oil mixture flow from a core, the model was successfully tested and the results were compared with the analytical solution, which highlighted the advantages of using this method compared to others.