Mimetic finite difference (MFD) method was applied to numerical simulation of non-Darcy flow in low permeability reservoirs. Principle of MFD method was described in details. And corresponding numerical formula of the non-Darcy flow model was developed. An IMPES scheme was used for solution of two-phase flow simulation. Several numerical examples are presented to demonstrate efficiency and applicability of the scheme.

A numerical method is developed to model nonlinear flow in heterogeneous and low-permeability reservoirs. In order to obtain pressure gradient of each gridcells precisely,we introduced two sets of physical quantities,cell face pressures and surface efflux for each gridcell. Principle of the method is elaborated based on single-phase fluid flow problem. Several numerical examples are presented to demonstrate efficiency and applicability of the scheme.