异参K的瞬时单位线研究

Study of Parameter K in the Formulation of Nash’s Instantaneous Unit Hydrograph

纳希在假设入流过程经过n个具有相同调蓄参数k的线性水库的调蓄的情况下,推导出著名的纳希瞬时单位线。显然相同k值的假设是欠妥的,且求得的水库个数n一般不为整数。作者在各水库调蓄参数k各不相同的情况下,推导出瞬时单位线,并将各水库的k值与相应的河段比降建立了有机的联系,从而扩展了纳希瞬时单位线。

Under the assumption that hydrograph generation is effeeted by n linear reservoirs with the same value of storage coefficient k, Nash proposed the formulation of instantaneous unit hydrograph, though considering parameter k as the same value in all reservoirs is not suitable obviously, and the derived value of n is not integral. In the case of taking parameter k as variable in every reservoir, the relationship between parameter k and the slope of the river was derived and then, the modified formulation of instantaneous unit hydrograph was also proposed.