基于广义交叉验证的电测深曲线一维全自动迭代反演  

One-dimensional automatic iterative inversion of electric sounding curve based on generalized cross-validation

作　　者：施昕祎 刘海飞[1,2] 柳建新 李星[1,2] 汪强强 SHI Xinyi;LIU Haifei;LIU Jianxin;LI Xing;WANG Qiangqiang(School of Info-physics and Geomatics, Engineering Central South University, Changsha 410083, China;Key Laboratory of Non-ferrous Resources and Geological Detection, Ministry of Hunan Province, Changsha 410038, China)

机构地区：[1]中南大学地球探测与信息物理学院,长沙410083 [2]有色金属与地质灾害探查湖南省重点实验室,长沙410083

出　　处：《物探化探计算技术》2021年第1期40-48,共9页Computing Techniques For Geophysical and Geochemical Exploration

基　　金：国家自然科学基金项目(41774149,41174102)。

摘　　要：为提高电测深曲线反演过程的稳定性和自动性,基于广义交叉验证自适应正则化方法,给出了电测深曲线反演的全自动迭代方法。首先介绍了引入光滑约束的线性反演方程的构建方法,综合奇异值分解法与广义交叉验证自适应正则化方法求解线性反演方程,接着给出了反演过程中初始模型的构建方法和反演偏导数矩阵的差分计算方法,并采用C++语言实现了电测深一维反演算法,最后通过对模拟数据和实测数据进行反演试算,验证了反演算法的有效性。In order to improve the stability and autonomy of the electric sounding curve inversion process,we present a fully automatic iterative method for the inversion of electric sounding curve in this paper based on the generalized cross-validation adaptive regularization method.Firstly,the construction method of linear inversion equations with smooth constraints is introduced.The integrated singular value decomposition method and the generalized cross-validation adaptive regularization method are used to solve the linear inversion equations.Then the construction method and inverse of the initial model in the inversion process are given.The differential calculation method of partial derivative matrix is used,and the one-dimensional inversion algorithm for electrical sounding was implemented in C++language.Finally,the inversion algorithm is validated by simulation data and measured data to verify the effectiveness of the inversion algorithm.

关 键 词：电测深曲线 反演 自适应正则化 广义交叉验证法 

分 类 号：P631.3[天文地球—地质矿产勘探]