仅热交换条件下冻土未冻水含量的热力学理论

Thermodynamic Theory to Unfrozen Water Content of Frozen Soil under Heat Exchange

许多9关于未冻水含量与温度之间关系的经验公式,都缺乏连续介质热力学理论的证明。从引入未冻水含量作为内变量和与内变量功共轭的未冻水势出发,利用连续介质热力学理论推导出只有热交换条件下冻土未冻水含量公式,其结果与常用经验公式一致。通过对高温-高含冰量冻土未冻水含量的实验证明,该公式同样具有较好的可信度。

The relationship between the unfrozen water content and temperature in frozen soils has been studied by many scholars, and lots of experiential formulas are obtained. These experiential formulas, however, lack the continuum thermodynamic theory to make out their case. Tthe unfrozen water content is considered as an internal variable, and work conjugated with the internal variable is potential of unfrozen water. Then the continuum thermodynamic theory is employed to deduce the formula of unfrozen water content in frozen soil under heat exchange. The result is consistent with the experiential formula. Experiment demonstrates that, when this formula is employed to predict the relationship between unfrozen water content and temperature of ice-rich and warn frozen soils, an acceptable degree of confidence also can obtain.