基于万有引力的点雨量插值算法研究  

Point interpolation algorithm for precipitation simulation based on universal gravitation

作　　者：戚晓明[1] 陆桂华[1] 滦清华[1] 金君良[1] 

机构地区：[1]河海大学水问题研究所,江苏南京210098

出　　处：《河海大学学报（自然科学版）》2006年第3期243-246,共4页Journal of Hohai University(Natural Sciences)

基　　金：国家自然科学基金资助项目(40371023);国家"948"计划资助项目(200317)

摘　　要：根据万有引力原理,任意雨量站雨量与待插值点雨量存在着万有引力.通过计算任意一个参与插值的站点与待插值点的万有引力占所有参与插值站与待插值点的万有引力的标量之和的比例来确定插值权重,并提出了消减权系数的计算方法,从而构建了基于万有引力的点雨量插值算法.根据雨量站点的平面三角几何关系,提出了参证插值站点的选择方法,使得参证插值站点的选择更合理.通过王家坝流域内27个雨量站的3个典型季节的日雨量的插值模拟,证明了参证插值站点的选择方法和万有引力插值算法用于点雨量插值具有较高的精度,可以应用于点雨量的插值.Point interpolation algorithm is of important significance in analysis of rain-gauge station distribution, calculation of areal precipitation, and planning for rain-gauge net. According to the principle of universal gravitation, universal gravitation exists between the amount of precipitation at rain-gauge stations and interpolation points. The weight of interpolation was determined by calculation of the proportion of the universal gravitation between each station and interpolation point to the sum of universal gravitations between all the rain-gauge stations and interpolation points in scalar field, and the calculation method for weight diminution coefficient was put forward. Thus, the point interpolation algorithm for precipitation simulation based on universal gravitation was developed. Based on the trigonometric relations of the distribution of rain-gauge stations, a method for rain-gauge station selection was proposed, which makes the interpolation points to be selected more reasonable. The result of daily precipitation interpolation for three typical seasons at 27 rain-gauge stations in Wangjiaba Basin demonstrates that the selection method for rain-gauge stations and universal gravitation-based interpolation algorithm are of high precision for precipitation simulation.

关 键 词：万有引力 插值 降雨 雨量站 

分 类 号：P332.1[天文地球—水文科学]