具有自适应权比的大地测量联合反演序贯算法及其应用  

Sequential Algorithm of Geodesy Joint Inversion with Auto-match Weight Ratio and Its Application

作　　者：张朝玉[1,2] 许才军[1,2] 

机构地区：[1]武汉大学测绘学院,武汉市珞喻路129号430079 [2]武汉大学地球空间环境与大地测量教育部重点实验室,武汉市珞喻路129号430079

出　　处：《武汉大学学报（信息科学版）》2012年第10期1140-1144,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40974017;41104014)

摘　　要：基于赫尔默特方差分量估计公式,论证了附加权比联合反演目标函数的合理性,提出了联合反演的序贯算法,它继承赫尔默特方差分量估计公式的统计无偏性,可以避免其简化公式造成的方差可能为负的影响。该算法并不需要额外保留各类观测数据反演的历史数据,克服了原公式计算繁琐、占用内存巨大的缺点;而且线性公式利于程序计算。模拟算例联合位移观测数据与重力观测数据反演地下断层进一步说明,结合其他的非线性手段,本公式同样适用于非线性联合反演的解算。Based on Helmert’s variance components estimation formula,the rationality of target function of joint inversion with weight ratio is demonstrated and a sequential algorithm of joint inversion is put forward in this paper.This algorithm,inherited the statistical unbiased property of Helmert’s formula,is able to avoid negative variance caused by Helmert’s simplified formula sometimes.It does not need to retain extra process data inversed from each kind of observations.This overcomes the shortcomings,such as huge memory occupied and calculation cumbersome,of original Helmert’s formula.Otherwise,linear formula conducted in this paper,is convenient for program calculating.A simulation example,underground fault’s joint inversion by displacement and gravity observations data,is given in the end.It shows that,combined with other nonlinear mean,this algorithm can be applied equally to non-linear joint inversion problems.

关 键 词：大地测量数据处理 赫尔默特方差分量估计 联合反演 序贯算法 

分 类 号：P227.1[天文地球—大地测量学与测量工程]