Macroscopic Flow Potentials in Swelling Porous Media

Details Macroscopic Flow Potentials in Swelling Porous Media Macroscopic Flow Potentials in Swelling Porous Media

2011-05-06

arxiv.org/abs/1105.1391v1

Physics

Mathematical Physics

30 pages with details of calculations

Scientific paper

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 paper 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.

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