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| Improvement of a mixed FEM-FVM method for reservoir simulation coupling fluid flow and mechanics |
| DI Yuan1,WU Dawei1,WU Yushu2 |
| (1. College of Engineering,Peking University,Beijing 100871,China;
2. Department of Petroleum Engineering,Colorado School of Mines,Golden,CO80401,USA) |
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Abstract For the practical procedure of oil production,stress field affects a much larger area than the reservoir domain,which requires a large amount of computation to simulate using recent approaches for fully coupled fluid flow-mechanics reservoir simulation. In order to increase numerical simulation efficiency,a hybrid method mixing finite element method(FEM) and finite volume method(FVM) is improved to consider the differences of computational domain between fluid flow and mechanics. A fine mesh is used for the computation of seepage in the reservoir domain to catch the detail distribute of fluids,whereas a coarse mesh for stress computation to reduce computational cost. The equilibrium equation of fully coupled approaches is discretized on the coarse grid by finite element method,and the mass balance equation is discretized on the fine grid by finite volume method. Numerical results of both Terzaghi′s and Mendal′s consolidation problems show great consistency with their analytical solutions,which verifies the proposed method. In order to analyze the fluid flow-mechanics coupling effect to reservoir simulation,the numerical results of a two dimensional single-phase flow problem with constant pressure pumping and a three dimensional two-phase flow case in five-spot scheme are carried out.
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