Electrical conduction and formation factor in isotropic porous media

被引:6
作者
Diedericks, GPJ
duPlessis, JP
机构
[1] Department of Applied Mathematics, University of Stellenbosch, 7602 Matieland
关键词
Ohm's law; formation factor; tortuosity; foams; fibres; granular;
D O I
10.1016/0309-1708(96)00001-2
中图分类号
TV21 [水资源调查与水利规划];
学科分类号
081501 ;
摘要
A macroscopic form of Ohm's law is obtained for isotropic porous media saturated with an electrically conductive fluid by using volumetric averaging concepts. Closure of the macroscopic charge transport equation is aided by approximative modelling of the average geometric structures of three different types of isotropic porous media, namely foamlike materials, granular media and crossflow over prismatic bundles. Modelling of the microscopic charge transport necessitated the introduction of a representative interstitial flux of charge carriers and required quantification of the geometric tortuosity applicable to transport phenomena in general. Deterministic expressions for the formation factor are obtained and compare favourably with experimental results. Copyright (C) 1996 Elsevier Science Limited
引用
收藏
页码:225 / 239
页数:15
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