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Matem. Mod., 2003, Volume 15, Number 2, Pages 69–76 (Mi mm492)  

This article is cited in 8 scientific papers (total in 9 papers)

Solution of gravity and magnetic three-dimensional inverse problems for three-layers medium

V. V. Vasina, G. Ya. Perestoroninaa, I. L. Prutkinb, L. Yu. Timerkhanovaa

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Institute of Geophisics Ural Branch of RAS

Abstract: The inverse gravity and magnetic problems on reconstruction of interface surfaces are solved for threelayers model of medium using real gravitational and magnetic data derived for an region of Middle Ural. First, on the base of a specific technique the anomalous effect for every boundary is extracted and the nonlinear gravity problem is solved by regular iterative methods. Then using obtained solution an averaged value of the vertical component of the magnetization vector is determined and the nonlinear magnetometry problem is solved. Comparative analyses of obtained results are given.

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Received: 09.10.2001

Citation: V. V. Vasin, G. Ya. Perestoronina, I. L. Prutkin, L. Yu. Timerkhanova, “Solution of gravity and magnetic three-dimensional inverse problems for three-layers medium”, Matem. Mod., 15:2 (2003), 69–76

Citation in format AMSBIB
\by V.~V.~Vasin, G.~Ya.~Perestoronina, I.~L.~Prutkin, L.~Yu.~Timerkhanova
\paper Solution of gravity and magnetic three-dimensional inverse problems for three-layers medium
\jour Matem. Mod.
\yr 2003
\vol 15
\issue 2
\pages 69--76

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    This publication is cited in the following articles:
    1. V. V. Vasin, “Approximation of nonsmooth solutions of linear ill-posed problems”, Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S247–S262  mathnet  crossref  mathscinet  zmath  elib
    2. Vasin V., Skorik G., “Iterative processes of gradient type with applications to gravimetry and magnetometry inverse problems”, J Inverse Ill Posed Probl, 18:8 (2011), 855–876  crossref  mathscinet  isi  elib  scopus
    3. V. V. Vasin, G. Ya. Perestoronina, “Levenberg–Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem”, Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 174–182  mathnet  crossref  isi  elib
    4. V. V. Vasin, “The Levenberg–Marquardt method for approximation of solutions of irregular operator equations”, Autom. Remote Control, 73:3 (2012), 440–449  mathnet  crossref  isi
    5. “Vladimir Vasil'evich Vasin. On the occasion of his 70th birsday”, Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 1–12  mathnet  crossref  isi
    6. Balk P.I., Dolgal A.S., Balk T.V., Khristenko L.A., “Konechnoelementnye tekhnologii interpretatsii dannykh gravirazvedki. garantirovannyi podkhod”, Geofizicheskie issledovaniya, 13:4 (2012), 19–33  elib
    7. V. V. Vasin, E. N. Akimova, A. F. Miniakhmetova, “Iteratsionnye algoritmy nyutonovskogo tipa i ikh prilozheniya k obratnoi zadache gravimetrii”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 6:3 (2013), 26–37  mathnet
    8. Akimova E.N., Martyshko P.S., Misilov V.E., “Algorithms for Solving the Structural Gravity Problem in a Multilayer Medium”, Dokl. Earth Sci., 453:2 (2013), 1278–1281  crossref  mathscinet  adsnasa  isi  elib  scopus
    9. Akimova E.N., Martyshko P.S., Misilov V.E., Tretyakov A.I., “On Solving the Inverse Structural Magnetic Problem For Large Grids on Gpus”, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016), AIP Conference Proceedings, 1863, eds. Simos T., Tsitouras C., Amer Inst Physics, 2017, UNSP 050010  crossref  isi  scopus
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