Transport in Porous Media

, Volume 94, Issue 1, pp 47–68

Macroscopic Flow Potentials in Swelling Porous Media


DOI: 10.1007/s11242-012-9987-y

Cite this article as:
Schreyer-Bennethum, L. Transp Porous Med (2012) 94: 47. doi:10.1007/s11242-012-9987-y


In swelling porous media, the potential for flow is much more than pressure, and derivations for flow equations have yielded a variety of equations. In this article, we show that the macroscopic flow potentials are the electro-chemical potentials of the components of the fluid and that other forms of flow equations, such as those derived through mixture theory or homogenization, are a result of particular forms of the chemical potentials of the species. It is also shown that depending upon whether one is considering the pressure of a liquid in a reservoir in electro-chemical equilibrium with the swelling porous media, or the pressure of the vicinal liquid within the swelling porous media, a critical pressure gradient threshold exists or does not.


Porous mediaSwelling porous mediaThreshold pressure gradientFlowThermodynamics

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of Mathematical and Statistical SciencesUniversity of Colorado DenverDenverUSA