饱和多孔介质冻融过程的混合物连续介质理论

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

应用混合物的连续介质理论 ,建立了冻融过程中饱和多孔介质的渗流场、应力场和温度场耦合作用的数学模型。该模型以多孔骨架位移、水头和温度为基本变量 ,包括水总质量守恒方程 ,总应力平衡方程和总能量守恒方程。该模型可简化为未冻区域内的三场耦合模型 ,两场耦合的渗流 弹性模型 ,热 弹性模型和热 渗流模型 ,以及单场作用的渗流模型 ,弹性模型和热传导模型。

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.