基于 Matlab PDE 工具箱的土体冻结温度场模拟研究

分析并运用Matlab PDE tool模拟模型槽土体冻结的温度场并验证模拟值的准确性。首先，通过合理的边界假设，使三维的模型槽土体冻结热传导问题转化为二维空间；然后，运用Matlab PDE tool进行模拟并对比测温点的模拟温度和实测温度。结果表明：土体冻结中温度场导热可以通过Matlab PDE tool模拟，且操作简单易于掌握；测温点模拟值的准确性与测温点距边界距离和冻结时间有关。

Study on Simulation of Soil Freezing Temperature Field Based on Matlab PDE Toolbox

The freezing temperature field of soil in the model tank is analyzed and simulated by Matlab PDE tool, and the accuracy of the simulated value is verified. Firstly, through the reasonable boundary assumption, the three-dimensional problem of frozen heat conduction of soil in model tank is transformed into two-dimensional space. Then, the Matlab PDE tool is used to simulate and compare the simulated temperature and measured temperature of the temperature measurement points. The results show that the heat conduction of soil in freezing temperature field can be simulated by Matlab PDE tool, and the operation is simple and easy to grasp. The accuracy of the simulated value of the temperature measuring point is related to the distance from the boundary and the freezing time.