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针对土体的一维冻结过程,采用考虑土体冻结状态下未冻水存在的等效热容模型,建立了其温度场计算的半解析方法,并与相关文献中的数值解进行了对比,验证了方法的正确性。对等效热容模型与显热容模型进行了对比,计算结果表明:在瞬态阶段,显热容模型计算的冻结锋面推进速度较等效热容模型慢;而在接近稳态阶段,显热容模型计算的冻土区厚度较等效热容模型厚。在冻结诱导水流较弱的情形下,土体冻结状态下的持水特性越好,采用显热容模型进行温度场计算产生的误差越显著,并且其计算结果应用于人工冻结设计是偏于不安全的。
Aiming at the one-dimensional freezing process of soil, a semi-analytical method for calculating the temperature field was established based on the equivalent heat capacity model considering the unfrozen water in the frozen state of soil, and compared with the numerical solution in the related literatures. Verify the correctness of the method. Comparing the equivalent heat capacity model with the sensible heat capacity model, the results show that in the transient state, the forward speed of freezing front calculated by the sensible heat capacity model is slower than that of the equivalent heat capacity model; while in the steady state, The permafrost area calculated by the heat capacity model is thicker than the equivalent heat capacity model. In the case of a weak induced water flow, the better water-holding characteristics of the soil in freezing state and the more significant error in the calculation of the temperature field using the sensible heat capacity model, and its calculation results are not suitable for artificial freezing design safe.