Digital rock physics benchmarks-part II: Computing effective properties
Digital rock physics benchmarks-part II: Computing effective properties
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DOI：
10.1016/j.cageo.2012.09.008
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发表时间：
2013-01-01
影响因子：
4.4
通讯作者：
Zhan, Xin
中科院分区：
文献类型：
--
作者：
Andrae, Heiko;Combaret, Nicolas;Zhan, Xin
这是我们数字岩石物理学（DRP）基准研究的第二部分也是最后一部分。我们使用分割的3-D图像（一个用于枫丹白露，三个用于Berea，三个用于碳酸盐，一个用于球体包）直接计算绝对渗透率，电阻率和弹性模量。测试的数值方法包括有限元求解器（弹性模量和电导率），两个有限差分求解器（弹性模量和电导率），基于傅立叶的李普曼-施温格求解器（弹性模量），格子玻尔兹曼求解器（渗透率），和显式跳跃方法（渗透率和电导率）。这些数值实验的设置，包括边界条件和总的模型尺寸，以及变化。由此产生的结果各不相同。例如，最高计算的渗透率值可以与最低渗透率值相差1.5倍。然而，所有这些结果均在与相关实验室数据一致的范围内。我们的分析为DRP社区提供了一系列可能的结果，这些结果取决于求解器及其设置。(C)2012爱思唯尔有限公司保留所有权利。
This is the second and final part of our digital rock physics (DRP) benchmarking study. We use segmented 3-D images (one for Fontainebleau, three for Berea, three for a carbonate, and one for a sphere pack) to directly compute the absolute permeability, the electrical resistivity, and elastic moduli. The numerical methods tested include a finite-element solver (elastic moduli and electrical conductivity), two finite-difference solvers (elastic moduli and electrical conductivity), a Fourier-based Lippmann-Schwinger solver (elastic moduli), a lattice-Boltzmann solver (hydraulic permeability), and the explicit-jump method (hydraulic permeability and electrical conductivity). The set-ups for these numerical experiments, including the boundary conditions and the total model size, varied as well. The results thus produced vary from each other. For example, the highest computed permeability value may differ from the lowest one by a factor of 1.5. Nevertheless, all these results fall within the ranges consistent with the relevant laboratory data. Our analysis provides the DRP community with a range of possible outcomes which can be expected depending on the solver and its setup. (C) 2012 Elsevier Ltd. All rights reserved.