Transport in Porous Media

, Volume 47, Issue 3, pp 337–362

Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory


    • Center for Computational MathematicsUniversity of Colorado at Denver
  • John H. Cushman
    • Center for Applied MathPurdue University

DOI: 10.1023/A:1015562614386

Cite this article as:
Bennethum, L.S. & Cushman, J.H. Transport in Porous Media (2002) 47: 337. doi:10.1023/A:1015562614386


In Part I macroscopic field equations of mass, linear and angular momentum, energy, and the quasistatic form of Maxwell's equations for a multiphase, multicomponent medium were derived. Here we exploit the entropy inequality to obtain restrictions on constitutive relations at the macroscale for a 2-phase, multiple-constituent, polarizable mixture of fluids and solids. Specific emphasis is placed on charged porous media in the presence of electrolytes. The governing equations for the stress tensors of each phase, flow of the fluid through a deforming medium, and diffusion of constituents through such a medium are derived. The results have applications in swelling clays (smectites), biopolymers, biological membranes, pulsed electrophoresis, chromotography, drug delivery, and other swelling systems.

mixture theoryelectrodynamicsswellingconstitutive equations

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© Kluwer Academic Publishers 2002