A New Finite volume Framework for Numerical Simulation of Two-Phase Flow in Porous Media

A New Finite volume Framework for Numerical Simulation of Two-Phase Flow in Porous Media

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Part of #A New Finite volume Framework for Numerical Simulation of Two-Phase Flow in Porous Media# :

Publishing year : 2006

Conference : First Iranian Petroleum Engineering Congress

Number of pages : 8

Abstract: Simultaneous flow in porous media occurs in a large variety of engineering fields, such as aqueous petroleum refining EOR by water flooding. In the petroleum industry applications, nonlinear partial differential equations governing the multiphase flow through porous media are now solved, almost exclusively by finite difference methods. In this study, the two-phase flow through the aporous medium is numerically studied. The governing Darcy eduations are discretized using a control volume aproach and the continuity equation is used to determine the phase saturations. The pressure eguations are solved implicitly, while an exlicit scheme is selected for obtaining the phase saturations. In order to maintain the problem generalality, the mathematical model considers the effects of capillary pressure as well as fluid compressibility. An unstructured traingular grid is used to enhance the solution's accuracy around the injection and production wells. Also, using the Fourier stability analysis, an adaptive time stepping is selected to optimize the computational effort is the solution of unsteady equations. At each time step, the Shilthuis material balance conditions are checked for the entire domain in order to ensure the validity of the solution. The mesh independence of the implemented model in a computer program is verified by investigating the solution of a test case to a different number of computational cells. The results show a good agreement with the findings of the conventional finite difference methods.