Transport in Porous Media

, Volume 26, Issue 3, pp 261–275

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

  • L. S. Bennethum
  • T. Giorgi

DOI: 10.1023/A:1006536424162

Cite this article as:
Bennethum, L.S. & Giorgi, T. Transport in Porous Media (1997) 26: 261. doi:10.1023/A:1006536424162


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.

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. 

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • L. S. Bennethum
    • 1
  • T. Giorgi
    • 2
  1. 1.Department of MathematicsDenverU.S.A.
  2. 2.Center for Applied Math, Math Sciences BuildingPurdue UniversityWest LafayetteU.S.A.

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