基于杜宾-沃森统计量的大地电磁一维反演方法  

1D Magnetotelluric Inversion Based on the Durbin-Watson Statistic

作　　者：杨雯[1] 李予国[1,2] 段双敏 韩波 罗鸣[1,2] Yang Wen;Li Yuguo;Duan Shuangmin;Han Bo;Luo Ming(College of Marine Geosciences,Ocean University of China,Qingdao 266100,China;Laboratory for Marine Mineral Resources,Pilot National Laboratory for Marine Science and Technology(Qingdao),Qingdao 266237,China;Institute of Geological Survey,China University of Geosciences(Wuhan),Wuhan 430074,China)

机构地区：[1]中国海洋大学海洋地球科学学院,山东青岛266100 [2]青岛海洋科学与技术试点国家实验室海洋矿产资源评价与探测技术功能实验室,山东青岛266237 [3]中国地质大学(武汉)地质调查研究院,湖北武汉430074

出　　处：《中国海洋大学学报（自然科学版）》2023年第2期125-133,共9页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(91958210)资助。

摘　　要：杜宾-沃森(Durbin-Watson,DW)检验是检验回归分析中残差一阶自相关性的一种方法,该方法广泛应用于计量经济学中。本文将DW统计量应用于一维大地电磁反演中,将DW统计量作为惩罚项加入大地电磁反演目标函数中,从而减弱实测大地电磁数据与反演模型响应之差(即残差)的自相关性,实现了基于DW统计量的大地电磁一维反演方法。通过两个层状模型合成数据反演和南黄海实测大地电磁资料反演验证了该方法的有效性,并与传统的高斯-牛顿反演方法进行了对比。反演结果表明本文反演方法对于高阻薄层具有更好的分辨能力。The Durbin-Watson(DW)is a test for the first-order autocorrelation of residuals,which is widely used in regression models and econometrics.In this paper,the DW statistic is applied to the one-dimensional(1D)inversion of MT data.The DW statistic is included in the objective function as a penalty term in order to reduce the autocorrelation of the difference between the MT field data and the model response(i.e.,residuals).The effectiveness of the method is demonstrated by both the synthetic data sets of two 1D models and the field data collected in the South Yellow Sea.Compared with the traditional Gauss-Newton method,the inversion method in this paper has better resolution for high resistivity thin layers.

关 键 词：大地电磁 反演 DW统计量 高斯-牛顿方法 

分 类 号：P631.325[天文地球—地质矿产勘探]