An efficient numerical technique for solving the inverse gravity problem of finding a lateral density / Akimova E.N., Martyshko P.S., Misilov V.E., Kosivets R.A. // Applied Mathematics and Information Sciences. - 2016. - V. 10, l. 5. - P. 1681-1688.

ISSN:

19350090

Type:

Article

Abstract:

The main goal of our paper is to construct a technique for the gravity inversion problem of finding a variable density in a horizontal layer on the basis of gravitational data. This technique consists of two steps: extracting the gravitational field and solving the linear integral equation of the density. After discretization and approximation of integral operator, this problem is reduced to solving large systems of linear algebraic equations. To solve these systems, we proposed a memory-efficient algorithm based on the iterative method of minimal residuals. The idea of memory optimization is based on exploiting the block-Toeplitz structure of coefficients matrix. The algorithms were parallelized and implemented using the Uran and UrFU supercomputers. A model problem with synthetic gravitational data was solved. © 2016 NSP.

Author keywords:

Gradient method; Gravity data inversion; Multicore processor; Parallel algorithm; Potential fields

Index keywords:

нет данных

DOI:

10.18576/amis/100506

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85012095464&doi=10.18576%2famis%2f100506&partnerID=40&md5=435f1c8afd09e9b540559e0fb1fb7f35

Соавторы в МНС:

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85012095464&doi=10.18576%2famis%2f100506&partnerID=40&md5=435f1c8afd09e9b540559e0fb1fb7f35
Affiliations	Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, Yekaterinburg, Russian Federation; Bulashevich Institute of Geophysics, Ural Branch of RAS, Yekaterinburg, Russian Federation; Ural Federal University, Yekaterinburg, Russian Federation
Author Keywords	Gradient method; Gravity data inversion; Multicore processor; Parallel algorithm; Potential fields
References	Novoselitskii, V.M., (1965) Izv. Akad. Nauk SSSR, Fiz. Zemli, 5, pp. 25-32; Martyshko, P.S., Prutkin, I.L., (2003) Geophys. J, 25 (3), pp. 159-168; Bulakh, E.G., Markova, M.N., (2006) Izvestiya, Physics of the Solid Earth, 42 (6), pp. 481-489; Hinze, W.J., Aiken, C., Brozena, J., Coakley, B., Dater, D., Flanagan, G., Forsberg, R., Winester, D., (2005) Geophysics., 70 (4), pp. J25-J32; Martyshko, P.S., Vasin, V.V., Akimova, E.N., Rublev, A.L., Pyankov, V.A., On solving a structural gravimetry problem on supercomputer "Uran" for the Bashkir Predural's area (2013) Geoinformatics 2012 - 11th International Conference on Geoinformatics: Theoretical and Applied Aspects, 2012; Martyshko, P.S., Vasin, V.V., Akimova, E.N., Pyankov, V.A., (2011) Geophysica., 4, pp. 30-36; Vasin, V.V., Eremin, I.I., (2009) Operators and iterative processes of Fejer type: theory and applications, 53. , Walter de Gruyter, Berlin, New York; Martyshko, P.S., Druzhinin, V.S., Nachapkin, N.I., Ladovskii, I.V., Byzov, D.D., Osipuv, V.Y., Tsidaev, A.G., (2012) Lithosphera., 4, pp. 208-218; Lawson, C.L., Hanson, R.J., (1974) Solving Least Squares Problems, 161. , Prentice-hall, Englewood Cliffs, NJ; Akimova, E.N., Belousov, D.V., Misilov, V.E., (2013) Numerical Analysis and Applications, 6 (2), pp. 98-110. , http://dx.doi.org/10.1134/S199542391302002X
Correspondence Address	Akimova, E.N.; Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RASRussian Federation; email: aen15@yandex.ru
Language of Original Document	English
Abbreviated Source Title	Appl. Mat. Inf. Sci.
Source	Scopus