Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method
Kasenov S.E. Demeubayeva Z.E. Temirbekov N.M. Temirbekova L.N.
June 2024Multidisciplinary Digital Publishing Institute (MDPI)
Computation
2024#12Issue 6
The article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies of the inverse MTS problem for multi-layer regions are presented using the differential evolution method, which demonstrates high convergence. For single-layer regions, a new method for solving inverse problems based on minimizing the quadratic functional using conjugate optimization methods is considered. Numerical results obtained using special Python libraries are presented, with analysis and conclusions.
electric field , magnetic field , magnetotelluric sounding , Maxwell’s equation , quaternions
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Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematics, Daulet Serikbayev East Kazakhstan Technical University, Ust-Kamenogorsk, 070000, Kazakhstan
National Engineering Academy of the Republic of Kazakhstan, Almaty, 050010, Kazakhstan
Faculty of Mathematics, Physics and Informatics, Abai Kazakh National Pedagogical University, Almaty, 050010, Kazakhstan
Faculty of Mechanics and Mathematics
Department of Mathematics
National Engineering Academy of the Republic of Kazakhstan
Faculty of Mathematics
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