为了研究洪峰流量与流域面积的关系,根据自相似河网的特点,联合槽蓄方程和水量平衡方程,推导出自相似河网的单位线公式。提出用符号代码标识随机自相似河网( RSN)的初始元和发生元。采用常用内链和外链发生元作为发生元生成了多种的RSN,得出洪峰流量与流域面积成幂函数,并根据国外及国内相关学者对一些河流的流域面积与洪峰流量幂函数验证本文提出的幂函数关系。
Based on the characteristics of self-similar river network and employing the slot-flow equation and the hydraulics equilibrium equation, a unit hydrograph ( UH) formula of self-similar river network is derived. Utilizing the Random Self-similar River Network ( RSN) generated from in-itial structures, a power function relationship between peak flood flow and drainage area is obtained, and the relationship is verified by domestic and oversea researches.