A new matrix for multiphase couplings in a membrane porous medium

作者:Chen Xiaohui*; Wang Manhui; Hicks Michael A; Thomas Hywel R
来源:International Journal for Numerical and Analytical Methods in Geomechanics, 2018, 42(10): 1144-1153.
DOI:10.1002/nag.2783

摘要

The empirical Darcy's law of water transport in porous media, Fick's law of chemical diffusion, and Fourier's law of thermal transport have been widely used in geophysics/geochemistry for over 150years. However, the strong couplings between water, temperature, and chemicals in a membrane porous medium have made these laws inapplicable and present a significant hurdle to the understanding of multiphase flow in such a material. Extensive experiments over the past century have observed chemical osmosis and thermal osmosis, but a model for understanding their underlying physicochemical basis has remained unavailable, because of the highly cross-disciplinary and multiscale-multiphase nature of the coupling. Based on the fundamental principles of nonequilibrium thermodynamics and mixture coupling theory, a rigorously theoretical and mathematical framework is proposed and a general model accounting for all of the coupled influences is developed. This leads to a simple and robust mathematical matrix for studying multiphase couplings in a membrane porous medium when all chemical components are electrically neutral.

  • 出版日期2018-7