Accurate multiscale finite element methods for two-phase flow simulations
Accurate multiscale finite element methods for two-phase flow simulations
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DOI：
10.1016/j.jcp.2006.05.015
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发表时间：
2006-12
期刊：
影响因子：
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通讯作者：
Y. Efendiev;V. Ginting;T. Hou;R. Ewing
中科院分区：
文献类型：
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作者：
Y. Efendiev;V. Ginting;T. Hou;R. Ewing
本文提出了一种改进的多尺度有限元法，用于非均质多孔介质两相流的数值模拟。该方法的主要思想是利用初始时刻的整体细尺度解来确定基函数的边界条件。这种方法提供了一个显着的改进，在多孔介质中的两相流模拟的长程效应是重要的。这对于最近的一些基准测试是典型的，例如SPE比较解决方案项目[M.克里斯蒂，M。Blunt，第十个SPE比较解决方案项目：升级技术的比较，SPE Reser。Eval. Eng.4（2001）308-317]，其中多孔介质具有通道化结构。使用全局信息，使我们能够更准确地捕捉远程的影响相比，只使用局部信息来构造基函数的多尺度有限元方法。我们提出了一些分析所提出的方法来说明，该方法确实可以捕获信道化介质中的长程效应。
In this paper we propose a modified multiscale finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the global fine-scale solution at initial time to determine the boundary conditions of the basis functions. This method provides a significant improvement in two-phase flow simulations in porous media where the long-range effects are important. This is typical for some recent benchmark tests, such as the SPE comparative solution project [M. Christie, M. Blunt, Tenth spe comparative solution project: a comparison of upscaling techniques, SPE Reser. Eval. Eng. 4 (2001) 308–317], where porous media have a channelized structure. The use of global information allows us to capture the long-range effects more accurately compared to the multiscale finite element methods that use only local information to construct the basis functions. We present some analysis of the proposed method to illustrate that the method can indeed capture the long-range effect in channelized media.