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为了研究土体冻结过程中温度传导与水分迁移的变化,在不饱和土理查德斯方程的基础上考虑相变作用建立了一维土体冻结过程的水热耦合模型。分别应用有限差分与有限元方法对模型进行离散化,得到两种方法各自的数值计算程序。同时对土体室内单向冻结实验进行模拟,将两种数值方法得到的土体冻结深度、冻结速率与温度变化分别与实验结果进行对比。结果表明:对于一维冻结问题,有限差分模拟更接近实验结果,有限元模拟具有更高的计算稳定性。
In order to study the changes of temperature conduction and moisture migration in soil freezing process, a one-dimensional hydrothermal coupling model of soil freezing process was established based on the unsaturated soil Richards’s equation and the phase transformation. The finite difference method and the finite element method are respectively used to discretize the model. Numerical calculation procedures of the two methods are obtained. At the same time, a one-way indoor freezing experiment was simulated, and the freezing depth, freezing rate and temperature change of the soil obtained by the two numerical methods were compared respectively with the experimental results. The results show that for the one-dimensional freezing problem, the finite difference simulation is closer to the experimental result, and the FEM simulation has higher computational stability.