Thermodynamic models of heat moisture migration in saturated freezing soil

The paper discusses heat moisture migration in saturated freezing soil on the basis of mixture theory and continuum mechanics. The main results are ①a criterion of forming layered ice in freezing soil is proposed and ② the problem of heat moisture migration is controlled by a nonlinear Burgers equation with varying boundary, which provides a theoretical foundation for studying the nonlinear effects of heat moisture migration in freezing soil.