含潜热能量的地表热平衡方程与统计解

THE HEAT BALANCE EQUATION OF GROUND SURFACE INCLUDING LATENT ENERGY AND ITS STATISTICAL SOLUTION

提出了含蒸发潜热能量交换项的地表单元能量热平衡方程，并采取了温度线性化的处理．选取地表吸收率和地表与大气的热交换阻力之倒数为独立的随机变量，并假设两者均服从正态分布，解出地表温度和地表以下不变地温之差Ｔ的概率密度表示式．计算出地表的平均温度，并与实测值对比。

The heat balance equation of an element of ground surface including the term of latent heat exchange was presented. The method of temperature linearization was used.By selecting the absorptivity of ground surface and the reciprocal of heat exchange resistance between ground surface and atmosphere as random noncorrelated variables,and assuming that the two variables obey normal distribution,the expression of the probability density of temperature difference between ground surface and constant temperature underground was derived.The average temperature of ground surface was calculated.Compared with the data measured,the result is satisfactory.