Generalized Forchheimer Equation for Two-Phase Flow Based on Hybrid Mixture Theory
- Cite this article as:
- Bennethum, L.S. & Giorgi, T. Transport in Porous Media (1997) 26: 261. doi:10.1023/A:1006536424162
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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.