Transport in Porous Media, Vol.26, No.3, 261-275, 1997
Generalized Forchheimer equation for two-phase flow based on hybrid mixture theory
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.
Keywords:DEFORMABLE POROUS-MEDIA;ISOTROPIC FUNCTIONS;2-PHASE FLOW;RELATIVE PERMEABILITIES;MULTIPHASE FLOW;FLUID;MECHANICS;SOIL