Filtration law for power-law fluids in anisotropic porous media

被引：34

作者：

Auriault, JL ^{[1
]}

Royer, P ^{[1
]}

Geindreau, C ^{[1
]}

机构：

[1] Univ Grenoble 1, Inst Natl Polytech Grenoble, Lab Sols Solides Struct, CNRS,UMR 5521, F-38041 Grenoble 9, France

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2002年 / 40卷 / 10期

关键词：

power-law fluid; porous media; filtration law; upscaling;

D O I：

10.1016/S0020-7225(02)00007-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This work is concerned with modelling steady-state slow flow of incompressible power-law fluids in porous media. The macroscopic filtration law is derived by upscaling the pore-scale description. The upscaling technique in use is the homogenisation method of multiple scales. Then, the filtration law is investigated by means of the theory of representation of isotropic tensor function of tensor arguments. The general form of the filtration law is given for isotropic, transversely isotropic, orthotropic and fully anisotropic systems. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1151 / 1163

页数：13

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