可压缩流体流动多尺度混合有限元数值方法研究

摘要

Multiscale Mixed Finite element method(MsMFEM) has been applied to the numerical simulation of compressible flow in porous media in this paper.From the point of fluid compressiblity and solid deformation,the multiscale formulas are derived.The method is applied to two different test cases.They demonstrate that MsMFEM is better not only in calculation speed but also in accuracy.The method is useful for numerical simulation of large reservoirs engineering practice.%可压缩流体是天然油藏中广泛存在的一种流体,研究其在多孔介质中的渗流规律对于油藏开发具有重要意义.本文采用多尺度混合有限元方法,对可压缩流体渗流问题进行了研究.考虑流体的可压缩性以及介质形变,推导得到了可压缩流体渗流问题的多尺度计算格式.数值计算结果表明,多尺度混合有限元适于求解非均质性和可压缩流问题,具有节省计算量、计算精度高等优势,对于实际大规模油藏模拟具有重要意义.