{"title":"On Refining the Geometry and Electrical Conductivity Tensor of a Local Inhomogeneity","authors":"V. N. Krizsky, P. N. Aleksandrov, M. L. Vladov","doi":"10.1134/S1069351325700338","DOIUrl":null,"url":null,"abstract":"<div><p><i>—</i>Based on the solution of inverse coefficient problems of direct current (dc) geoelectrics in a linear formulation, the method for refining the shape and the algorithm for finding the components of the electrical conductivity tensor of a local inclusion located in a piecewise constant medium are presented. The solution of the DC resistivity inverse problem for a local three-dimensional (3D) body characterized by electrical conductivity tensor is given. A study has been carried out to clarify the shape of an anomaly-forming object of complex geometry. An algorithm for refining the geometry of a local anisotropic inclusion is proposed. The issues related to the application of the proposed procedure are analyzed. The results of numerical experiments are discussed.</p></div>","PeriodicalId":602,"journal":{"name":"Izvestiya, Physics of the Solid Earth","volume":"61 3","pages":"346 - 362"},"PeriodicalIF":1.0000,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya, Physics of the Solid Earth","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1134/S1069351325700338","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
—Based on the solution of inverse coefficient problems of direct current (dc) geoelectrics in a linear formulation, the method for refining the shape and the algorithm for finding the components of the electrical conductivity tensor of a local inclusion located in a piecewise constant medium are presented. The solution of the DC resistivity inverse problem for a local three-dimensional (3D) body characterized by electrical conductivity tensor is given. A study has been carried out to clarify the shape of an anomaly-forming object of complex geometry. An algorithm for refining the geometry of a local anisotropic inclusion is proposed. The issues related to the application of the proposed procedure are analyzed. The results of numerical experiments are discussed.
期刊介绍：
Izvestiya, Physics of the Solid Earth is an international peer reviewed journal that publishes results of original theoretical and experimental research in relevant areas of the physics of the Earth''s interior and applied geophysics. The journal welcomes manuscripts from all countries in the English or Russian language.
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