Modeling the effects of capillary pressure with the presence of full tensor permeability and discrete fracture models using the mimetic finite difference method

Abstract Capillary dominated flow or imbibition—whether spontaneous forced—is an important physical phenomena in understanding the behavior of naturally fractured water-driven reservoirs (NFR’s). When water flows through fractures, it imbibes into matrix and pushes oil out pores due to difference capillary pressure. In this paper, we focus on modeling quantifying recovered from NFR’s imbibition processes using a novel fully implicit mimetic finite (MFD) approach coupled with discrete fracture/discrete (DFDM) technique. The investigation is carried light different wetting states porous media (i.e., varying pressure curves) full tensor representation permeability. produced results proved MFD be robust preserving physics problem, accurately mapping path investigated domains. state rock affects greatly recovery factors along orientation fractures principal direction permeability tensor. We can conclude that our method handle fluid problems discrete-fractured reservoirs. Future works will focused extension more complex multi-physics simulations.