引入OCCAM模型约束的一维复电阻率实部和虚部加权反演算法  

Weighted inversion algorithm for real and imaginary parts of one-dimensional complex resistivity with OCCAM model constraints

作　　者：何博林 梁思维 HE Bolin;LIANG Siwei(Tianjin Survey Design Institute Group Co.,Ltd,Tianjin 300191,China)

机构地区：[1]天津市勘察设计院集团有限公司,天津市300191

出　　处：《华北地质》2024年第2期96-104,共9页North China Geology

基　　金：天津市规划和自然资源局科技项目:“基于多源数据驱动的道路地下病害人工智能识别与健康诊断技术研究”(KJ[2023]41)。

摘　　要：【研究目的】复电阻率反演参数为四个Cole-Cole模型参数,直接增加了复电阻率反演的多解性。且复电阻率的实部和虚部对不同Cole-Cole模型的敏感程度不同,从而对复电阻率反演能力的要求较高。【研究方法】本文将正则化思想引入到复电阻率实部和虚部加权反演中,并分四步依次反演四个Cole-Cole模型参数,并设计四个不同的加权系数,在反演不同Cole-Cole参数时对实部和虚部的目标函数进行加权,以控制实部和虚部在反演中所占的比重;反演同一参数时,对比不同初始模型的反演结果,分析初始模型对反演结果的影响。【研究结果】模型试算结果表明:这种引入正则化约束后的实、虚部加权反演算法,不仅可以提高Cole-Cole模型参数的反演效果,还降低了反演结果对加权系数的依赖性和某些参数对初始模型的依赖性。【结论】本文的算法有效提高了Cole-Cole模型参数的反演精度。This paper is the result of engineering geophysical exploration.[Objective]The complex resistivity inversion parameters are four Cole-Cole model parameters,which directly increases the multisolution of complex resistivity inversion.Moreover,the sensitivity of real and imaginary parts of complex resistivity to different Cole-Cole models is different,so the ability of complex resistivity inversion is required.[Methods]In this paper,the regularization idea is introduced into the weighted inversion of the real and imaginary parts of complex resistivity,and four Cole-Cole model parameters are inverted in four steps,and four different weighting coefficients are designed to weight the objective functions of the real and imaginary parts in the inversion of different Cole-Cole parameters,so as to control the proportion of the real and imaginary parts in the inversion.When inverting the same parameter,the inversion results of different initial models are compared,and the influence of the initial models on the inversion results is analyzed.[Results]Model test results show that this algorithm can not only improve the inversion effect of Cole-Cole model parameters,but also reduce the dependence of inversion results on the weighting coefficient and some parameters on the initial model.[Conclusions]The algorithm used in this study has effectively improved the accuracy of the inversion process for the Cole-Cole model parameters.

关 键 词：复电阻率法 粗糙度矩阵 OCCAM反演 加权系数 

分 类 号：P631.322[天文地球—地质矿产勘探]