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<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>

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On Refining the Geometry and Electrical Conductivity Tensor of a Local Inhomogeneity

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • V. N. Krizsky,
  • P. N. Aleksandrov,
  • M. L. Vladov

摘要

—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.