FAG Method for Reservoir Simulation

The simulation of a bidimensional two-phase immiscible flow is considered using a static composite grid (locally refined). This composite grid consists of a global, rectangular coarse grid and a set of locally refined patches around wells. For the spatial discretisation, we use cell centered finite volume approximation and for time stepping, the IMPES scheme with upstream weighting. In order to solve the pressure equation on composite grid efficiently, we use the FAC (Fast adaptive composite) method proposed by Mc. CORMICK [6]. This technique has analogies with BEPS method used by EWING and al. [2], [3]. A numerical application (oil-water flow) is developed to illustrate the FAC method.