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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 6, Pages 1027–1034
DOI: https://doi.org/10.31857/S0044466920060101 (Mi zvmmf11092) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Reconstruction of magnetic susceptibility using full magnetic gradient data

Y. Wangabc, I. I. Kolotovd, D. V. Lukyanenkod, A. G. Yagolad

a Key Laboratory of Petroleum Resource Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100029 P. R. China
b University of the Chinese Academy of Sciences, Beijing, 100049 P. R. China
c Institutions of Earth Science, Chinese Academy of Sciences, Beijing,100029 P. R. China
d Faculty of Physics, Lomonosov Moscow State University
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DOI: https://doi.org/10.31857/S0044466920060101
Abstract: The paper discusses the specificities of solving the inverse problem of reconstructing the magnetic susceptibility using complete tensor magnetic gradient data. This problem reduces to solving a system of two three-dimensional Fredholm integral equations of the first kind, one of which relates the magnetic susceptibility of a bounded body to the magnetic field induced by it and the other, to the full magnetic induction gradient tensor. For a series of model examples, it is demonstrated that the use of the full magnetic induction gradient tensor significantly improves the quality of the reconstructed function that determines the magnetic susceptibility.
Key words: magnetostatics, magnetic susceptibility, full magnetic induction gradient tensor, inverse problem.
Funding agency Grant number
Russian Foundation for Basic Research 19-51-53005
17-01-00159
National Natural Science Foundation of China 11911530084
Ministry of Science and Technology (MOST) of China 2018YFC0603500
The research was carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University [22, 23].
Received: 28.10.2019
Revised: 28.10.2019
Accepted: 11.02.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 6, Pages 1000–1007
DOI: https://doi.org/10.1134/S096554252006010X
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: Y. Wang, I. I. Kolotov, D. V. Lukyanenko, A. G. Yagola, “Reconstruction of magnetic susceptibility using full magnetic gradient data”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 1027–1034; Comput. Math. Math. Phys., 60:6 (2020), 1000–1007
Citation in format AMSBIB
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\paper Reconstruction of magnetic susceptibility using full magnetic gradient data
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\pages 1027--1034
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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