COMPARATIVE STUDY OF DIFFERENT TECHNIQUES FOR NUMERICAL RESERVOIR SIMULATION

Many physical processes in nature, whose correct understanding, prediction, and control are important to people, are described by Partial Differential Algebraic Equation (PDAE) systems as a set of Partial Differential, Ordinary Differential and Algebraic Equations. Multiphase flow in porous media, as one of such physical process, has been the interest of many scientific researchers especially in the field of reservoir engineering. For most PDAEs it is not possible to find their exact solutions analytically as mathematical function. Therefore the only way to solve PDAEs arising in scientific problems is to approximate their solutions numerically and as first step Partial (and Ordinary) Differential Equations of a given PDAE should be discretized with suitable technique into a set of nonlinear (or linear) equations. Different discretization techniques such as finite volume, finite element and finite difference applicable to numerical analysis of PDAE system governing multiphase flow in porous media have been reviewed and compared in this paper by using several case studies .

کلیدواژه ها:

PDAE ، Fractured Reservoir ، Finite Volume ، Finite Element ، Simulation ، Finite Difference