Non-isothermal transport of multi-phase fluids in porous media. Constitutive equations

Abstract

We develop constitutive equations for multi-component, multi-phase, macro-scale flow in a porous medium exposed to temperature-, composition-, and pressure -gradients. The porous medium is non-deformable. We define the pressure and the composition of the representative elementary volume (REV) in terms of the volume and surface averaged pressure and the saturation, and the respective driving forces from these variables. New contributions due to varying porosity or surface tension offer explanations for non-Darcy behavior. The interaction of a thermal and mechanical driving forces give thermal osmosis. An experimental program is suggested to verify Onsager symmetry in the transport coefficients.

arXiv comment22 pages, 2 figures

References in corpus (5)

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Cited by in corpus (4)

• A statistical mechanics for immiscible and incompressible two-phase flow in porous media
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• Nanothermodynamic description and molecular simulation of a single-phase fluid in a slit pore
• Local Statistics of Immiscible and Incompressible Two-Phase Flow in Porous Media