Small-stencil 3D schemes for diffusive flows in porous media
Small-stencil 3D schemes for diffusive flows in porous media
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DOI：
10.1051/m2an/2011040
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发表时间：
2012-03
期刊：
影响因子：
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通讯作者：
R. Eymard;Cindy Guichard;R. Herbin
中科院分区：
文献类型：
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作者：
R. Eymard;Cindy Guichard;R. Herbin
本文研究了非均质各向异性多孔介质中扩散流动的离散化方法。我们首先引入了梯度格式的概念，并证明了现有的几种格式都属于这个框架。然后，我们构造了两种新的梯度格式，它们都具有模板小的优点。对实际油藏网格的数值计算结果表明，与现有格式相比，新格式是有效的。
In this paper, we study some discretization schemes for diffusing flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall in this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes, show the efficiency of the new schemes, compared to existing ones.