Abstract: Based on the stnding relationship of storage-release and the physis property of linear and nonlinear Kernel function, We Yealize that the relationship between linear and nonlinear Kernel function exists inherent physic relation of thing. If we catch at this objective law. weuse the linear kernel to express nonlinear kernel, it is too convenience calculating for us. This paper not only describes the physic property and trausfered relation, but also proposes four models of nonlinear kernel function which include time Variance and time invariance. Therefore, prospect of linear kernel researching is Opened.

摘要： 本文基于研究以蓄泄关系为基础的雨洪线性与非线性核函数的物理性质出发,认为简化二维条件下,雨洪线性核与非线性核间存在着固有的物理联系规律。应用这种转换关系,容易将线性核函数转换为非线性核函数,给计算上带来了方便。本文还论述了雨洪核函数间物理性质与转换规律,并建立了时变与时不变,线性与非线性水库型的不同转换公式。这些规律在实际洪水预报与计算中具有重要意义。