Russian Federation
Schmidt Institute of the Physics of the Earth Russian Academy of Sciences
Moscow, Russian Federation
Russian Federation
55
550.34
550.383
37.01
37.15
37.25
37.31
38.01
36.00
37.00
38.00
39.00
52.00
05.00.00
26
63
SCI
Integration interpretation of geophysical anomalies is a procedure for extracting geological and geophysical information about the object under study from observed physical fields. Interpretations are closely related to solutions of systems of linear algebraic equations (SLAE), therefore the possibility of the most complete and constructive description of all solutions of SLAE is of particular importance. It will allow you to take into account all additional information about the object and obtain the highest quality interpretation. The paper presents the authors’ results on the constructive description of SLAE solutions and its application to the construction of gravimetric interpretations.
system of linear algebraic equations; inverse magnetometry problem; constructive description of solutions; projection method
1. Agayan, S. M., S. R. Bogoutdinov, A. A. Bulychev, A. A. Soloviev, and I. A. Firsov (2020), A Projection Method for Solving Systems of Linear Equations: Gravimetry Applications, Doklady Earth Sciences, 493(1), 530–534, https://doi.org/10.1134/s1028334x20070053. EDN: https://elibrary.ru/KLVWEF
2. Bulychev, A. A., I. V. Lygin, and V. R. Melikhov (2010), Numerical methods for solving direct problems of gravity and magnetic exploration (lecture notes), 164 pp., Geological Faculty of Moscow State University M. V. Lomonosov, Moscow (in Russian).
3. Kulikov, V. A. (2017), Geophysics of solid field minerals, 208 pp., PolyPRESS LLC, Moscow (in Russian).
4. Tikhonov, A. N., and V. Y. Arsenin (1979), Methods for solving incorrect problems, 283 pp., Nauka, Moscow (in Russian).
5. Turchin, V. F., and L. S. Turovtseva (1973), A method of statistical regularization with a posteriori estimation of the error in the original data, Doklady Akademii Nauk SSSR, 212(3), 561–564 (in Russian).
6. Zelenyi, M., M. Poliakova, A. Nozik, and A. Khudyakov (2018), Application of Turchin’s method of statistical regularization, EPJ Web of Conferences, 177, 07,005, https://doi.org/10.1051/epjconf/201817707005. EDN: https://elibrary.ru/XXYMNN