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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2003, Volume 6, Number 4, Pages 381–394
(Mi sjvm200)
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This article is cited in 6 scientific papers (total in 6 papers)
On the numerical solution of direct and inverse problems of geoelectromagnetic exploration
V. P. Il'in Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
Numerical methods for the solution of direct and inverse problems of above-ground, surface and underground electromagnetic exploration geophysics are considered. Approximations of two-dimensional and three-dimensional boundary value problems are made by finite volume methods of high accuracy. The systems of linear algebraic equations with high order sparse matrices are solved by fast incomplete factorization algorithms with acceleration by conjugate gradients. The questions of computing apparent resistivity and sensitivity of characteristics fields to variations of geometric and material properties of media are described. The solution of inverse problems are implemented by optimization approaches including the interior point methods, the Lagrange multipliers and application of sequential quadratic programming.
Received: 10.06.2003
Citation:
V. P. Il'in, “On the numerical solution of direct and inverse problems of geoelectromagnetic exploration”, Sib. Zh. Vychisl. Mat., 6:4 (2003), 381–394
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https://www.mathnet.ru/eng/sjvm200 https://www.mathnet.ru/eng/sjvm/v6/i4/p381
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Abstract page: | 539 | Full-text PDF : | 209 | References: | 48 |
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