SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1034-1051, January 2021.
Using a discrete version of the method of multiple scales, the problem of fluid flow through an arbitrary periodic network of one-dimensional channels is homogenized to give Darcy flow. A simple, low-dimensional, linear algebra problem gives the effective permeability in terms of the channel conductances. The results are illustrated with an investigation of the statistical properties of effective permeability for a variety of random networks, as well as an evaluation of the correlation between permeability and network tortuosity.

中文翻译：

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流经周期网络的同质化

SIAM Journal on Applied Mathematics，第 81 卷，第 3 期，第 1034-1051 页，2021 年 1 月。
使用多尺度方法的离散版本，通过一维通道的任意周期网络的流体流动问题被均质化为达西流。一个简单的、低维的、线性代数问题给出了通道电导方面的有效渗透率。结果通过对各种随机网络的有效渗透率统计特性的调查以及渗透率与网络曲折度之间相关性的评估来说明。