Generalized Forchheimer Equation for Two-Phase Flow Based on Hybrid Mixture Theory

被引：0
|
作者：
L. S. Bennethum
T. Giorgi
机构：
[1] Department of Mathematics,Center for Applied Math, Math Sciences Building
[2] Purdue University,undefined
来源：
Transport in Porous Media | 1997年 / 26卷
关键词：
swelling porous media; high velocity flow; non-Darcy flow; two-phase flow; multi-phase flow; mixture theory; Forchheimer equation; unsaturated flow; Darcy's law; non-linear flow; hybrid mixture theory; isotropic function theory.;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we derive a Forchheimer-type equation for two-phase flow through an isotropic porous medium using hybrid mixture theory. Hybrid mixture theory consists of classical mixture theory applied to a multiphase system with volume averaged equations. It applies to media in which the characteristic length of each phase is ‘small’ relative to the extent of the mixture. The derivation of a Forchheimer equation for single phase flow has been obtained elsewhere. These results are extended to include multiphase swelling materials which have nonnegligible interfacial thermodynamic properties.
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页码：261 / 275
页数：14
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