Analysis of coupled thermo-hydro-mechanical behavior of unsaturated soils based on theory of mixtures I  

作　　者：秦冰 陈正汉 方振东 孙树国 方祥位 王驹 

机构地区：[1]Department of Architectural and Civil Engineering,Logistical Engineering University [2]Beijing Research Institute of Uranium Geology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第12期1561-1576,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10672182 and 11072265);the Natural Science Foundation Project of Chongqing Science and Technology Commission (No. 2009BB7343)

摘　　要：This paper analyzes a coupled thermo-hydro-mechanical behavior of unsaturated soils based on the theory of mixtures. Unsaturated soil is considered as a mixture composed of soil skeleton, liquid water, vapor, dry air, and dissolved air. In addition to the mass and momentum conservation equations of each component and the energy conservation equation of the mixture, the system is closed using other 37 constitutive （or restriction） equations. As the change in water chemical potential is identical to the change in vapor chemical potential, a thermodynamic restriction relationship for the phase transition between pore water and pore vapor is formulated, in which the impact of the change in gas pressure on the phase transition is taken into account. Six final govern- ing equations are given in incremental form in terms of six primary variables, i.e., three displacement components of soil skeleton, water pressure, gas pressure, and temperature. The processes involved in the coupled model include thermal expansions of soil skeleton and soil particle, Soret effect, phase transition between water and vapor, air dissolution in pore water, and deformation of soil skeleton.This paper analyzes a coupled thermo-hydro-mechanical behavior of unsaturated soils based on the theory of mixtures. Unsaturated soil is considered as a mixture composed of soil skeleton, liquid water, vapor, dry air, and dissolved air. In addition to the mass and momentum conservation equations of each component and the energy conservation equation of the mixture, the system is closed using other 37 constitutive （or restriction） equations. As the change in water chemical potential is identical to the change in vapor chemical potential, a thermodynamic restriction relationship for the phase transition between pore water and pore vapor is formulated, in which the impact of the change in gas pressure on the phase transition is taken into account. Six final govern- ing equations are given in incremental form in terms of six primary variables, i.e., three displacement components of soil skeleton, water pressure, gas pressure, and temperature. The processes involved in the coupled model include thermal expansions of soil skeleton and soil particle, Soret effect, phase transition between water and vapor, air dissolution in pore water, and deformation of soil skeleton.

关 键 词：unsaturated soil thermo-hydro-mechanical TEMPERATURE theory of mixtures 

分 类 号：S152[农业科学—土壤学]