A Multiscale Hybrid Finite-Element Solver for Flow in Porous Media

T. Liu, He-Hua Xu, W. Zhang
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Abstract

In this paper, we present a multiscale hybrid finite-element solver for flow in porous media with real field geomodel complexity. Multiscale methods solve the flow pressure equation on coarse mesh, and utilize the effects of fine-scale heterogeneities through basis functions formulation computed from local flow problems. Multiscale methods offer large computational savings and provide more accurate approximation than traditional up scaling methods. Published numerical simulation experiments of flow in porous media have so far been limited to ideal geomodel. In particular, we discuss how to handle the effects of faults and wells. Finally, we present the numerical results of multiscale flow solvers for a real field geomodel.
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多孔介质流动的多尺度混合有限元求解器
本文提出了一种具有实际地质模型复杂性的多孔介质流动多尺度混合有限元求解器。多尺度方法在粗网格上求解流动压力方程,并通过局部流动问题计算基函数公式,利用细尺度非均质性的影响。与传统的上尺度方法相比,多尺度方法节省了大量的计算量,并提供了更精确的近似。目前已发表的多孔介质流动数值模拟实验仅限于理想地质模型。我们特别讨论了如何处理断层和井的影响。最后,给出了多尺度流场求解的数值结果。
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