On the construction of an optimal network of observation points when solving inverse lin-ear problems of gravimetry and magnetometry

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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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2. Fig. 1. Projections of the locations of two groups of observation points on a horizontal plane.

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3. Fig.2. Schematic representation of the process of adding a point to the optimal network.

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