A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media

In this work we consider a new efficient IMplicit Pressure Explicit Saturation (IMPES) scheme for the simulation of incompressible and immiscible two-phase flow in heterogeneous porous media with capillary pressure. Compared conventional IMPES schemes, is inherently physics-preserving, namely, algorithm locally mass conservative both phases it also enjoys another appealing feature that total velocity continuous normal direction. Moreover, unbiased regard to two saturations are bounds-preserving if time step size smaller than certain value. The key ideas include Darcy flows rewritten formulation based on an auxiliary referring as potential gradient, discretized conservation equation obtained by summation each phase. upwind strategy applied update explicitly, mixed finite element methods used solve pressure–velocity systems which can be decoupled. We present some interesting examples demonstrate efficiency robustness algorithm.