Solving the structural inverse gravity problem by the modified gradient methods / Martyshko P.S., Akimova E.N., Misilov V.E. // Izvestiya, Physics of the Solid Earth. - 2016. - V. 52, l. 5. - P. 704-708.

ISSN:
10693513
Type:
Article
Abstract:
New methods for solving the three-dimensional inverse gravity problem in the class of contact surfaces are described. Based on the approach previously suggested by the authors, new algorithms are developed. Application of these algorithms significantly reduces the number of the iterations and computing time compared to the previous ones. The algorithms have been numerically implemented on the multicore processor. The example of solving the structural inverse gravity problem for a model of four-layer medium (with the use of gravity field measurements) is constructed. © 2016, Pleiades Publishing, Ltd.
Author keywords:
Index keywords:
нет данных
DOI:
10.1134/S1069351316050098
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84987749297&doi=10.1134%2fS1069351316050098&partnerID=40&md5=e31a62aaf2b620bf04b6371e7dd1b85a
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Affiliations Bulashevich Institute of Geophysics, Ural Branch, Russian Academy of Sciences, ul. Amundsena 100, Yekaterinburg, Russian Federation; Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. Sof’i Kovalevskoi 16, Yekaterinburg, Russian Federation; Yeltsin Ural Federal University, ul. Mira 19, Yekaterinburg, Russian Federation
References Akimova, E.N., Martyshko, P.S., Misilov, V.E., Algorithms for solving the structural gravity problem in a multilayer medium (2013) Dokl. Earth Sci., 453 (2), pp. 1278-1281; Akimova, E.N., Misilov, V.E., Skurydina, A.F., Parallel algorithms for solving a structural inverse magnetic problem on multiprocessing computer systems (2014) Vestn. Ufim. Gos. Aviats. Tekh. Univ., 18 (4), pp. 206-215; Gilbert, J.C., Nocedal, J., Global convergence properties of conjugate gradient methods for optimization, Soc. Ind. Appl. Math (1999) J. Optim., 1, pp. 21-42; Kaltenbacher, B., Neubauer, A., Scherzer, O., Iterative Regularization Methods for Nonlinear Ill-Posed Problems (2008) Radon Series on Computational and Applied Mathematics; Martyshko, P.S., Prutkin, I.L., Technology for separating the sources of the gravitational field by depth (2003) Geofiz. Zh., 25 (3), pp. 159-168; Martyshko, P.S., Ladovskii, I.V., Tsidaev, A.G., Construction of regional geophysical models based on the joint interpretation of gravity and seismic data (2010) Izv., Phys Solid Earth, 46 (11), pp. 931-942; Martyshko, P.S., Pyankov, V.A., Akimova, E.N., Vasin, V.V., Misilov, V.E., On solving a structural gravity problem on supercomputer Uran for the Bashkir Predural’s area (2013) GeoInformatics 2013: 12th Int. Conf. on Geoinformatics: Theoretical and Applied Aspects; Martyshko, P.S., Fedorova, N.V., Akimova, E.N., Gemaidinov, D.V., Studying the structural features of the lithospheric magnetic and gravity fields with the use of parallel algorithms (2014) Izv., Phys Solid Earth, 50 (4), pp. 508-513; Numerov, B.V., Interpretation of gravitational observations in the case of a single contact surface (1930) Dokl. Akad. Nauk SSSR, 21, pp. 569-574; Prutkin, I.L., On the solution of three-dimensional inverse problem of gravimetry in the class of contacting surfaces by the local correction method (1986) Izv. Akad. Nauk SSSR, Fiz. Zemli, 1, pp. 67-77; Strakhov, V.N., On the inverse problem of logarithmic potential for a contact surface (1974) Izv. Akad. Nauk SSSR, Fiz. Zemli, 2, pp. 43-65
Correspondence Address Martyshko, P.S.; Bulashevich Institute of Geophysics, Ural Branch, Russian Academy of Sciences, ul. Amundsena 100, Russian Federation; email: pmart3@mail.ru
Publisher Maik Nauka-Interperiodica Publishing
Language of Original Document English
Abbreviated Source Title Izv. Phys. Solid Earth
Source Scopus