利用水库容积曲线反推水库面积曲线  

Calculation of reservoir area curve by use of reservoir volume curve

作　　者：廖华云[1] 黎志键[2] 

机构地区：[1]水利部珠江水利委员会西江局,广西南宁530007 [2]广西水利电力职业技术学院,广西南宁530023

出　　处：《广西水利水电》2012年第6期1-3,共3页Guangxi Water Resources & Hydropower Engineering

摘　　要：介绍直接利用水库容积曲线反推水库面积曲线的方法——CAD切线法和3次样条函数求导法:首先利用CAD技术和各个水位的水库容积数据画出水库容积曲线,基于此容积曲线,测算出各个水位节点切线的斜率,即水库面积数值;然后,采用3次样条函数求导法求对应水位的水库面积:(1)检查水库容积曲线的合理性;(2)利用3次样条函数逼近水库容积曲线;(3)对该3次样条函数任意点求导,即得对应水位的水库面积。并以实例介绍其具体应用。An introduction was made on the method of calculating reservoir area curve by use of reservoir volume curve, incorporating CAD tangent method and 3-spline function derivation method. First, reservoir volume curve was calculated with CAD technology and the reservoir volume data corresponding to various water levels. Second, the slopes of tangent at various water levels, i.e. the reservoir area values are calculated based on this volume curve. Then, reservoir area at different levels are calculated by 3-spline function derivation method, including check of the rationality of reservoir area curve; approaching the reservoir volume curve by use of 3-spline function; derivative of the 3-spline function at any point to acquire the reservoir area at corresponding level. The method was also intro- duced combined with an actual application example.

关 键 词：水库 容积曲线 面积曲线 3次样条函数 

分 类 号：TV22[水利工程—水工结构工程] TV12