Мақаланы E-mail арқылы жіберу On Refining the Form and Tensor of Electrical Conductivity of Local Inhomogeneity
- Авторлар: Krizsky V.N.1, Aleksandrov P.N.2, Vladov М.L.3
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Мекемелер:
- Saint Petersburg Mining University
- Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
- Lomonosov Moscow State University
- Шығарылым: № 3 (2025)
- Беттер: 70-87
- Бөлім: Articles
- URL: https://journals.eco-vector.com/0002-3337/article/view/688358
- DOI: https://doi.org/10.31857/S0002333725030068
- EDN: https://elibrary.ru/FFAYIH
- ID: 688358
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Аннотация
Based on the solution of inverse coefficient problems of direct current geoelectrics in a linear formulation, the method for refining the shape and an algorithm for finding the components of the electrical conductivity tensor of a local inclusion located in a piecewise constant medium are presented. The solution to the inverse problem of direct electric current for a local three-dimensional object characterized by the electrical conductivity tensor is presented. The study was carried out to clarify the shape of an anomalous object of complex geometry. The algorithm for refining the shape of a local anisotropic inclusion is proposed. The analysis of issues related to the application of this procedure was carried out. The results of computational experiments are discussed.
Толық мәтін
Авторлар туралы
V. Krizsky
Saint Petersburg Mining University
Хат алмасуға жауапты Автор.
Email: krizsky@rambler.ru
Ресей, Saint Petersburg
P. Aleksandrov
Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Email: alexandr@igemi.troitsk.ru
Ресей, Moscow
М. Vladov
Lomonosov Moscow State University
Email: vladov_ml@mail.ru
Ресей, Moscow
Әдебиет тізімі
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Әрекет
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Fig. 1. Arrangement of cubic volume discrete elements of the local inclusion of the "well" type by layers.
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Fig. 2. AB pairs of electric field sources, potentials dFx (V) and dFy (V).
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Fig. 3. Parallelepiped enclosing the local inclusion (top row), relative errors and (with respect to the specific conductivity of the intervening space) solutions of the inverse problem (bottom row).
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Fig. 4. Relative errors and (with respect to the specific conductivity of the intervening space) of the solutions of the inverse problem.
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Fig. 5. Relative errors and solutions of the inverse problem.
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Fig. 6. Block diagram of the algorithm.
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Fig. 7. Iteration 1: (a) - fringing body; (b) - relative errors and ; (c) - relative errors and . The black squares show the discrete boundary blocks to be removed.
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Fig. 8. Iteration 2: (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 9. Iteration 10: (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 10. Iteration 30: (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 11. Iteration 36 (last): (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 12. Iteration 31 (last): (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 13. The shape of local inhomogeneity. Grey cubes - heterogeneity 1, blue cubes - heterogeneity 2.
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Fig. 14. Iteration 1: (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 15. Iteration 29 (last): (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 16. Shape of the local inhomogeneity ‘well with bottom’.
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Fig. 17. Iteration 34 (last): (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 18. Vertical AB-pair of electric field sources, potentials dFx (V) and dFy (V) at the receivers' site.
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Fig. 19. Iteration 33 (last): (a) - fringing body; (b) - relative errors and ; (c) - relative errors and .
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Fig. 20. Two types of errors that occur.
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