西安市暴雨强度公式的推求研究  

Derivation of Rainstorm Intensity Formula in Xi'an City

作　　者：卢金锁[1] 程云[1] 郑琴 杜锐 王社平 王俊萍[1] 

机构地区：[1]西安建筑科技大学环境与市政工程学院,陕西西安710055 [2]西安市市政设计研究院,陕西西安710068

出　　处：《中国给水排水》2010年第17期82-84,共3页China Water & Wastewater

基　　金：西安市城乡建设委员会资助项目(200905);陕西省自然科学基金资助项目(SJ08-ZT07)

摘　　要：收集了西安市1961年—2008年的全部降雨资料,分别采用年多个样法和年最大值法选取雨样,并通过指数分布和皮尔逊-Ⅲ型分布曲线进行频率分析,最终得到9组i-t-P表。对频率分析后的数据采用改进型高斯—牛顿法(LM法)等6种优化算法求解公式参数,并在Matlab的平台上编制推求软件,发现以年多个样法选样、指数分布曲线调整频率和LM法求解参数所获得的暴雨强度公式的误差最小。推求所得总公式的绝对均方差和相对均方差分别为0.011 6 mm/min和1.58%,较旧公式的精度提高了12.8%,目前已代替旧公式作为西安市的暴雨强度公式。All the rainfall data from 1961 to 2008 in Xi＇ an City were collected. The annual multisampling method and annual maximum value method were adopted respectively to select the samples, the frequency analysis was performed through the exponential distribution and Pearson-Ⅲ distribution curves, and 9 groups of i-t-P tables were derived. Six algorithms such as the improved Gauss-Newton algorithm （LM algorithm） were applied to the frequency data for derivation of the formula parmneters, and the derivation software was developed on the Maltab platform. It is found that the rainstorm intensity formula derived by the annual multisampling method, the exponential distribution curve and the LM algorithm has the minimal error. The absolute mean square deviation and relative mean square deviation of the new formula are 0.011 6 mm/min and 1.58%. The precision of the new fornmla is 12.8% higher than that of the old one. The new formula is used as the current rainstorm intensity formula in place of the old one in Xi＇ an City.

关 键 词：西安市暴雨强度公式 改进型高斯-牛顿法 MATLAB软件 

分 类 号：TU992.02[建筑科学—市政工程]