An Alternating Direction Multiplier Method for the Inversion of FDEM Data
In this paper, we focus on the numerical solution of nonlinear inverse problems in applied geophysics. Our aim is to reconstruct the structure of the soil, i.e., either its electrical conductivity or the magnetic permeability distribution, by inverting frequency domain electromagnetic data. This is...
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| Veröffentlicht in: | Journal of scientific computing 2024-10, Vol.101 (1), p.14, Article 14 |
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| creator | Buccini, Alessandro de Alba, Patricia Díaz Pes, Federica |
| description | In this paper, we focus on the numerical solution of nonlinear inverse problems in applied geophysics. Our aim is to reconstruct the structure of the soil, i.e., either its electrical conductivity or the magnetic permeability distribution, by inverting frequency domain electromagnetic data. This is a very challenging task since the problem is nonlinear and severely ill-conditioned. To solve the nonlinear inverse problem, we propose an alternating direction multiplier method (ADMM), we prove its convergence, and propose an automated strategy to determine the parameters involved. Moreover, we present two heuristic variations of the ADMM that either improve the accuracy of the computed solutions or lower the computational cost. The effectiveness of the different proposed methods is illustrated through few numerical examples. |
| doi_str_mv | 10.1007/s10915-024-02652-9 |
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| subjects | Algorithms Computational Mathematics and Numerical Analysis Electrical resistivity Geophysics Heuristic methods Inverse problems Magnetic fields Magnetic permeability Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Multipliers Permeability Regularization methods Soil permeability Soil structure Theoretical User interface |
| title | An Alternating Direction Multiplier Method for the Inversion of FDEM Data |
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