最小二乘定权方法对流动重力计算结果的影响  

Influence of Least Squares Weighting Method on Gravity Calculation Results

作　　者：刘东 崔兴平 王青华[2] 穆宝胜 张勇[2] LIU Dong;CUI Xingping;WANG Qinghua;MU Baosheng;ZHANG Yong(School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430071,China;Yunnan Earthquake Agency,249 Zhichun Street,Kunming 650093,China;Henan College of Surveying and Mapping,Gongmao Road,Zhengzhou 451464,China)

机构地区：[1]武汉大学测绘学院,武汉市430071 [2]云南省地震局,昆明市650093 [3]河南测绘职业学院,郑州市451464

出　　处：《大地测量与地球动力学》2020年第12期1233-1236,共4页Journal of Geodesy and Geodynamics

基　　金：地震地磁分析与地震预报创新团队;云南省地震局地震科技专项(2017ZX03)。

摘　　要：在处理流动重力观测数据时,采用最小二乘方法解算由权系数和观测值组成的超定方程组,得到最优权值,并利用最优权计算重力值。结果表明,等权方法计算得到的结果点值精度不高,但包含了较全的重力异常地震分析预报信息;不等权方法计算得到的结果点值精度较高,但削弱了有用的重力异常地震分析预报信息;最小二乘方法计算得到的结果不但有较高的点值精度,对MS4.0及以上地震的分析预报效果也最优。We research how to obtain the optimal weight value in flow gravity observation data processing,which can be used to calculate gravity value.In the processing,we use the least-square method to solve the overdetermined equations consisting of the weight coefficient and the observations.The results show that the accuracy of the point value derived from the equal-weight method is not good enough.However,it contains more information for gravity anomaly seismic analysis and prediction.Although the accuracy of the point value solved by the unequal-weight method is better than the equal-weight method,it contains less information which may inhibit gravity anomaly seismic analysis and prediction.Finally,the results obtained from the least-square method not only have higher accuracy of the point value,but also is the best among the three methods,which can be used to analyze and predict the earthquakes with magnitude large than MS4.0.

关 键 词：等权 不等权 超定方程组 最小二乘法 

分 类 号：P312[天文地球—固体地球物理学]