Multiresolution Wavelet Scale Up of Unstable Miscible Displacements in Flow Through Heterogeneous Porous Media
Multiresolution Wavelet Scale Up of Unstable Miscible Displacements in Flow Through Heterogeneous Porous Media
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DOI：
10.1023/b:tipm.0000032742.05517.06
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发表时间：
2004-10
影响因子：
2.7
通讯作者：
F. Ebrahimi;M. Sahimi
中科院分区：
文献类型：
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作者：
F. Ebrahimi;M. Sahimi
我们使用基于小波变换的新方法描述了现场尺度多孔介质地质模型的放大。感兴趣的多孔介质包含广泛分布且相关的渗透率。这种多孔介质渗透率场的小波变换使地质模型从最小到最大长度尺度变粗，大大减少了需要求解的方程数量，保留了所有相关长度尺度上渗透率场的重要信息，并产生了任何流体流动特性的数值结果，其精度与通过相同多孔介质的高度详细的地质模型获得的结果一样准确。为了测试该方法，我们使用细尺度地质模型和粗化模型对高度非均质多孔介质中的不稳定混相驱替过程和相关的粘性指进现象进行了广泛的计算机模拟。两组模拟的结果非常吻合。
We describe scale up of geological models of field-scale porous media using a new method based on the wavelet transformations. The porous media of interest contain broadly-distributed and correlated permeabilities. Wavelet transformation of the permeability field of such porous media coarsens the geological model from smallest to largest length scales, drastically reduces the number of equations to be solved, preserves the important information on the permeability field at all the relevant length scales, and yields numerical results for any fluid flow property that are as accurate as those that are obtained with the highly detailed geological model of the same porous media. To test this method, we carry out extensive computer simulations of unstable miscible displacement processes and the associated viscous fingering phenomenon in highly heterogeneous porous media, both with the fine-scale geological model and the coarsened model. Excellent agreement is found between the results of the two sets of simulations.