Three dimensional simulation of fluid flow in X‐ray CT images of porous media
Three dimensional simulation of fluid flow in X‐ray CT images of porous media
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DOI：
10.1002/nag.389
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发表时间：
2004-11
影响因子：
4
通讯作者：
A. Al-Omari;E. Masad
中科院分区：
文献类型：
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作者：
A. Al-Omari;E. Masad
为了模拟三维（3-D）微结构中的流体流动，开发了一种数值方案。稳态不可压缩流的控制方程采用压力连接方程（SIMPLE）半隐式有限差分法在代表三维微结构的非交错网格系统中求解。该系统允许仅使用一个计算单元来求解控制方程。通过模拟理想化的三维微结构中的流体流动，利用已知的渗透率封闭形式解来验证数值方案。文中还讨论了影响解的收敛性和精度的数值因素。这些因素包括所分析的微观结构的分辨率和截断准则。利用该数值模型对真实的多孔介质微结构的二维X射线计算机断层扫描（CT）图像中的流体流动进行了模拟。这些真实的微观结构包括沥青混合料的现场岩心、实验室线性捏合压实机（LKC）试样和实验室Superpave旋转压实机（SGC）试样。对真实的微结构的磁导率的数值结果与封闭形式的解的结果进行了比较。版权所有© 2004年约翰威利父子有限公司。
A numerical scheme is developed in order to simulate fluid flow in three dimensional (3‐D) microstructures. The governing equations for steady incompressible flow are solved using the semi‐implicit method for pressure‐linked equations (SIMPLE) finite difference scheme within a non‐staggered grid system that represents the 3‐D microstructure. This system allows solving the governing equations using only one computational cell. The numerical scheme is verified through simulating fluid flow in idealized 3‐D microstructures with known closed form solutions for permeability. The numerical factors affecting the solution in terms of convergence and accuracy are also discussed. These factors include the resolution of the analysed microstructure and the truncation criterion. Fluid flow in 2‐D X‐ray computed tomography (CT) images of real porous media microstructure is also simulated using this numerical model. These real microstructures include field cores of asphalt mixes, laboratory linear kneading compactor (LKC) specimens, and laboratory Superpave gyratory compactor (SGC) specimens. The numerical results for the permeability of the real microstructures are compared with the results from closed form solutions. Copyright © 2004 John Wiley & Sons, Ltd.