冻土温度场计算中热间断面处理的理论分析

建立了冻土温度场计算中经常涉及的三类位置固定的热间断面的温度衔接条件和计算处理方法，间断面在冻土温度场计算中通常被简化成一个厚度趋于零的薄层，导致系统热性能在此发生突变，热参数成为空间位置坐标的奇异子函数．根据间断面介质热传输过程满足的能量守衡定律和三类间断面的传热机制，应用积分原理和中值定理，推出一般条件下热间断面的温度衔接条件．将导出的一般条件下的温度衔接条件应用于三类热间断面，得出具体处理此三类间断面的温度场计算方法．

Disposal of Discontinuous Thermal Interface in Calculation of Temperature Field of Permafrost

The disposal and joining conditions of discontinuous thermal interface concerning three kinds of stationary location are systematically put forward. In calculation of temperature field of permafrost, the discontinuous thermal interface is simplified into a film layer, the thickness of which is recognized as zero. The thermal conductivity changes suddenly at discontinuous thermal interface and becomes bizarre -function with respect to spatial coordinate. According to energy balance law and thermal transfer regime of three kinds of discontinuous interface, integral principle and integral median theorem are applied in derivation of joining condition of thermal discontinuous interface. Based on the application of general thermal joining condition to three kinds of discontinuous interface, the solution strategy for three kinds of discontinuous thermal interface suitable to analytical model and numerical simulation is presented.