自由溢流水库对下游防洪保护能力的一种插值估算方法

An interpolation estimation method for the protection capacity of free overflow reservoir to downstream flood control

用线性插值得到近似的入库洪水和区间洪水,再引入调洪方程的导数构造Hermite多项式可插值得到出库洪水过程,经地区组成可得水库下游断面的相应洪水;再根据该断面最大安全过洪能力求解出线性插值的权重参数,能快速确定满足下游安全泄洪条件下的入库和区间洪峰,从而估算自由溢流水库对下游的防洪保护能力.Hermite插值法可达三次代数精度,洪水过程采用了两条典型过程进行线性组合,使得该估算方法精度较高,适用的洪水变化幅度较大,可指引工程设计中的后续相关计算,也可供自由溢流小型水库防洪决策参考.

The approximate inflow flood and interval flood are obtained by linear interpolation,then the derivative of flood regulation equation is introduced to construct Hermite polynomial to obtain the outflow flood process,and the corresponding flood of the downstream section of the reservoir can be obtained by regional composition.Then,according to the maximum safe flood passing capacity of the section,the weight parameters of linear interpolation can be solved,which can quickly determine the inflow and interval flood peak under the condition of satisfying the downstream safety flood discharge conditions,thus estimating the flood control protection capacity of the free overflow reservoir to the downstream.Hermite interpolation method can reach cubic algebraic precision,and the flood process adopts linear combination of two typical processes,so that the estimation method has higher precision and larger applicable flood variation range,which can guide subsequent relevant calculations in engineering design,and can also be used as a reference for flood control decision-making of free overflow small reservoirs.