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本文应用辛卜生数值积分的方法求解热传导方程中的偏微分项,推导出计算土壤热交换中的两个重要物理量——土壤导温率和土壤热通量,从理论上分析了它与目前热平衡台站规范法(拉氏法)的异同。指出拉氏方法中对土壤容积热容量的不同假设,必定给计算结果带来较大的误差,而本文提出的这一方法就不存在这一问题;它的另一优点是在计算通过20厘米处的热通量时考虑了二阶微分项的作用,即温度的非线性作用且该方法有较大的适用范围。
In this paper, the partial differential term in the heat conduction equation is solved by the method of SBS, and the two important physical quantities of soil heat exchange are deduced - the soil thermal conductivity and the soil heat flux. It is theoretically analyzed that the heat balance table Similarities and differences between the station code (Laws and las). It is pointed out that the different assumptions of Laplace’s method for the heat capacity of the soil volume will inevitably bring large errors to the calculation results. However, this method proposed in this paper does not have this problem. Another advantage of this method is that when calculating 20 centimeters The second-order differential term is considered in the heat flux, which is the nonlinear effect of temperature and the method has a larger applicable range.