Continuum Theory of Mixture for Freezing and Thawing of Water-Saturated Porous Media

With the application of continuum theory of mixture, a mathematical model for the coupled seepage, stress and temperature for freezing and thawing of water-saturated porous media has been established. The conservation equation of water mass, the equilibrium equation of total stress and the conservation equation of total energy are described with the skeleton displacement, water head and temperature. The model contains the equation of the non-freezing zone where the porous medium is saturated by liquid water. The coupled model of two fields such as seepage- elasticity, thermal-elasticity and thermal-seepage, and the model of single field such as seepage, elasticity and thermal conduction, all are special examples of the paper.