Finite‐element analysis for immiscible two‐phase fluid flow in deforming porous media and an unconditionally stable staggered solution

A finite-element numerical model for immiscible two-phase fluid flow in a deforming porous media is presented. The displacements, the pressures and the saturations of wetting phase are taken as primary unknowns of the model as the constraint about the capillary pressure between two fluid phases is applied. The governing equations and their finite-element formulations are given in the paper. An unconditionally stable staggered solution procedure is devised for the integration of the formulations in the time domain. The stability analysis of the solution scheme is also carried out.