Fluctuation-Dissipation Theorems for Multiphase Flow in Porous Media

Fluctuation-Dissipation Theorems for Multiphase Flow in Porous Media

Dick Bedeaux and Signe Kjelstrup

A thermodynamic description of porous media must handle the size- and shape-dependence of media properties, in particular on the nano-scale. Such dependencies are typically due to the presence of immiscible phases, contact areas and contact lines. We propose a way to obtain average densities. We argue that the average densities of the porous medium obey the Gibbs equation. From the Gibbs equation and the balance equations, we then derive the entropy production in the standard way, for transport of multi-phase fluids in a non-deformable, porous medium exposed to differences in boundary pressures, temperatures, and chemical potentials.

Entropy 2022, 24(1), 46
Corresponding Authors: Dick Bedeaux

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