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On the construction of an optimal network of observation points when solving inverse lin-ear problems of gravimetry and magnetometry
- Authors: Stepanova I.E.1, Lukyanenko D.V.2, Kolotov I.I.2, Shchepetilov A.V.2, Yagola A.G.2, Levashov A.N.2
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Affiliations:
- Moscow State University
- Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
- Issue: Vol 64, No 3 (2024)
- Pages: 403-414
- Section: Optimal control
- URL: https://bakhtiniada.ru/0044-4669/article/view/268051
- DOI: https://doi.org/10.31857/S0044466924030032
- EDN: https://elibrary.ru/XHHBTN
- ID: 268051
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Abstract
Unique solvability of systems of linear algebraic equations is studied to which many in-verse problems of geophysics are reduced as a result of discretization after applying the method of integral equations or integral representations. Examples of singular and nonsingular systems of vari-ous dimensions that arise when processing magnetometric and gravimetric data from experimental observations are discussed. Conclusions are drawn about methods for constructing an optimal net-work of experimental observation points.
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About the authors
I. E. Stepanova
Moscow State University
Author for correspondence.
Email: tet@ifz.ru
Russian Federation, Leninskiye Gory, Moscow, 119991
D. V. Lukyanenko
Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Email: tet@ifz.ru
Russian Federation, ul. Bolshaya Gruzinskaya, 10, build. 1, Moscow, 123995
I. I. Kolotov
Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Email: tet@ifz.ru
Russian Federation, ul. Bolshaya Gruzinskaya, 10, build. 1, Moscow, 123995
A. V. Shchepetilov
Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Email: tet@ifz.ru
Russian Federation, ul. Bolshaya Gruzinskaya, 10, build. 1, Moscow, 123995
A. G. Yagola
Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Email: tet@ifz.ru
Russian Federation, ul. Bolshaya Gruzinskaya, 10, build. 1, Moscow, 123995
A. N. Levashov
Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Email: tet@ifz.ru
Russian Federation, ul. Bolshaya Gruzinskaya, 10, build. 1, Moscow, 123995
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