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Article information
2025 , Volume 30, ¹ 1, p.64-79
Persova M.G., Soloveichik Y.G., Vagin D.V., Sivenkova A.P., Simon E.I., Tokareva M.G.
Peculiarities of sensitivity calculation when implementing geometric 3D inversions in electrical prospecting problems
Thepaper proposes various methods for calculating sensitivities when solving 3D inverse problems of electrical prospecting. It is assumed that the geoelectric model dependson both physicaland geometric parameters. Solution of the forward problem relies on the finite element method for space discretization and the implicit three-point scheme “with backward overstepping” for time discretization. We also use the primary-secondary field approach when the primary field is calculated for 1D horizontally layered medium. To minimize the functional in the inverse problem, the Gauss Newton method with adaptive regularization is applied. Computational experiments have shown that in problems of ground-based induction electrical prospecting with a small number of positions of controlled sources, the proposed numerical-analytical methods for calculating sensitivity can reduce computational costs when solving 3D inverse problems. Thus, for a geoelectric model containing 82 geometric parameters and 26 electrical conductivity parameters, the numerical-analytical method allows reducing the computational time by half. Increasing the number of geometric parameters leads to more profound advantage. However, the same mesh both for calculating the residual and for calculating the derivatives when implementing the numerical-analytical method, may not provide computational advantages, but also become more expensive than the numerical method, where for calculating influence fields coarse meshes are always used. In this case, the geoelectric models obtained as a result of 3D inversion practically coincide and differ only within the framework of equivalence.
[link to elibrary.ru]
Keywords: finite element 3D modelling, electromagnetic field, 3D inverse problems, sensitivities
doi: 10.25743/ICT.2025.30.1.007
Author(s):
Persova Marina Gennad'evna
Dr. , Professor
Position: Head of Laboratory
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20, prospekt K. Marksa
E-mail: mpersova@mail.ru
SPIN-code: 5788-0453Soloveichik Yuri Grigor'evich
Dr. , Professor
Position: Leading research officer
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20, prospekt K. Marksa
E-mail: soloveychik@ami.nstu.ru
SPIN-code: 7856-7702Vagin Denis Vladimirovich
Dr. , Associate Professor
Position: Senior Research Scientist
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20, Prospekt K. Marksa
E-mail: vdv_wk@mail.ru
SPIN-code: 9619-9380Sivenkova Anastasia Pavlovna
Position: Junior Research Scientist
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20, Prospekt K. Marksa
E-mail: nastya_sivenkova19@mail.ru
Simon Evgenia Igorevna
PhD.
Position: Research Scientist
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20, Prospekt K. Marksa
E-mail: simon@corp.nstu.ru
SPIN-code: 3032-5355Tokareva Marina Georgievna
PhD.
Position: Research Scientist
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, 20, Prospekt K. Marksa
E-mail: tokareva@ami.nstu.ru
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Bibliography link:
Persova M.G., Soloveichik Y.G., Vagin D.V., Sivenkova A.P., Simon E.I., Tokareva M.G. Peculiarities of sensitivity calculation when implementing geometric 3D inversions in electrical prospecting problems // Computational technologies. 2025. V. 30. ¹ 1. P. 64-79
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