基于全区视电阻率的瞬变电磁一维Occam反演中雅克比矩阵的解析算法  

Analytical algorithms of Jacobian matrix in one-dimensional Occam inversion of central loop transient electromagnetism based on all-time apparent ressivivity

作　　者：郭嵩巍 刘小畔 郑凯[3] 张磊[4] GUO Song-Wei;LIU Xiao-Pan;ZHENG Kai;ZHANG Lei(School of Earth Sciences and Resources,China University of Geosciences(Beijing),Beijing 100083,China;Institute of Geology and Mineral Resources Exploration of Zhejiang Province,Hangzhou 310000,China;College of Geophysics and Petroleum Resources,Yangtze University,Wuhan 430100,China;Inner Mongolia Land Resources Exploration and Development Co.,Ltd.,Hohhot 010020,China)

机构地区：[1]中国地质大学(北京)地球科学与资源学院,北京100083 [2]浙江省地矿勘探院,浙江杭州310000 [3]长江大学地球物理与石油资源学院,湖北武汉430100 [4]内蒙古国土资源勘查开发有限责任公司,内蒙古呼和浩特010020

出　　处：《物探与化探》2020年第3期559-567,共9页Geophysical and Geochemical Exploration

摘　　要：在目前的工程应用中,瞬变电磁测深一维反演结果依然是地质解释的重要依据。为提高一维反演的计算效率和计算精度,解析推导出一维正演的雅克比矩阵就非常必要。本文详细推导了中心回线装置下瞬变电磁一维正演全区视电阻率的雅克比矩阵的解析计算公式,并通过Occam反演测试理论模型和实测数据,证明该推导正确,值得采用。In the current engineering application,one-dimensional inversion result of TEM sounding is still an important basis for geological interpretation.In order to improve the computational efficiency and accuracy of one-dimensional inversion,it is necessary to analytically derive Jacobian matrix of one-dimensional forward.In this paper,the analytical formulas of Jacobian matrix in one-dimensional forward of central loop transient electromagnetic based on all-time resisitivity are derived in detail.It is proved that the formulas are correct and worth adopting,as shown by testing one-dimensional Occam inversion of theoretical model and measured data.

关 键 词：瞬变电磁法 全区视电阻率 雅克比矩阵 OCCAM反演 地热勘查 

分 类 号：P631[天文地球—地质矿产勘探]