Joint inversion of gravity and vertical gradient data based on modified structural similarity index for the structural and petrophysical consistency constraint  

作　　者：Sheng Liu Xiangyun Wan Shuanggen Jin Bin Jia Quan Lou Songbai Xuan Binbin Qin Yiju Tang Dali Sun 

机构地区：[1]Henan University of Urban Construction,Pingdingshan 467041,China [2]Institute of Geophysics,China Earthquake Administration,Beijing 100080,China [3]School of Surveying and Land Information Engineering,Henan Polytechnic University,Jiaozuo 454000,China [4]Shanghai Astronomical Observatory,Chinese Academy of Sciences,Shanghai 200030,China [5]The First Monitoring and Application Center,CEA,Tianjin 300180,China

出　　处：《Geodesy and Geodynamics》2023年第5期485-499,共15页大地测量与地球动力学（英文版）

基　　金：supported by the National Key Research and Development Program(Grant No.2021YFA0716100);the National Key Research and Development Program of China Project(Grant No.2018YFC0603502);the Henan Youth Science Fund Program(Grant No.212300410105);the provincial key R&D and promotion special project of Henan Province(Grant No.222102320279).

摘　　要：Joint inversion is one of the most effective methods for reducing non-uniqueness for geophysical inversion.The current joint inversion methods can be divided into the structural consistency constraint and petrophysical consistency constraint methods,which are mutually independent.Currently,there is a need for joint inversion methods that can comprehensively consider the structural consistency constraints and petrophysical consistency constraints.This paper develops the structural similarity index(SSIM)as a new structural and petrophysical consistency constraint for the joint inversion of gravity and vertical gradient data.The SSIM constraint is in the form of a fraction,which may have analytical singularities.Therefore,converting the fractional form to the subtractive form can solve the problem of analytic singularity and finally form a modified structural consistency index of the joint inversion,which enhances the stability of the SSIM constraint applied to the joint inversion.Compared to the reconstructed results from the cross-gradient inversion,the proposed method presents good performance and stability.The SSIM algorithm is a new joint inversion method for petrophysical and structural constraints.It can promote the consistency of the recovered models from the distribution and the structure of the physical property values.Then,applications to synthetic data illustrate that the algorithm proposed in this paper can well process the synthetic data and acquire good reconstructed results.

关 键 词：Joint inversion Gravity and vertical gradient data Modified structural similarity index 

分 类 号：P631.1[天文地球—地质矿产勘探]