Parallel algorithms for solving structural inverse magnetometry problem on multicore and graphigs processors / Akimova E.N., Martyshko P.S., Misilov V.E. // International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM. - 2014. - V. 1, l. 2. - P. 713-720.

ISSN:

13142704

Type:

Conference Paper

Abstract:

The most important geophysical problems are inverse gravimetry and magnetometry problems. Among them are the structural gravimetry and magnetometry problems of finding interfaces between layers with different densities or magnetizations using known gravitational or magnetic data [1], [2], [3]. The gravimetry and magnetometry problems are described by nonlinear integral Fredholm equations of the first kind; they are ill-posed problems. After the discretization of integral operators, the problems are reduced to systems of nonlinear equations with dense matrices. The real gravity and magnetic measurements are carried out over a large area producing large-scale grids. Processing of gravity and magnetic data is time consuming and requires a lot of memory. In this paper, for solving the structural inverse magnetometry problem in a multilayer medium, efficient stable parallel algorithms based on iteratively regularized gradient methods with variable weight factors are proposed. The algorithms were implemented numerically with using new computing technologies on the parallel computing system Uran at the Institute of Mathematics and Mechanics of the UB RAS. The structural magnetometry problem with “quasi-model” data was solved. © SGEM2014.

Author keywords:

Gravimetry and magnetometry; Inverse problems; Multicore and graphics processors; Parallel algorithms

Index keywords:

Algorithms; Gradient methods; Gravimeters; Integral equations; Iterative methods; Magnetic storage; Magnetism; Magnetometers; Nonlinear equations; Parallel algorithms; Parallel processing systems; Com

DOI:

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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84946544058&partnerID=40&md5=57f242ed1ed94d35d0110fec42cd10a4

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Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84946544058&partnerID=40&md5=57f242ed1ed94d35d0110fec42cd10a4
Affiliations	Krasovskii Institute of Mathematics and Mechanics of the UB RAS, Yekaterinburg, Russian Federation; Bulashevich Institute of Geophysics of the UB RAS, Yekaterinburg, Russian Federation; Yeltsin Ural Federal University, Yekaterinburg, Russian Federation
Author Keywords	Gravimetry and magnetometry; Inverse problems; Multicore and graphics processors; Parallel algorithms
References	Numerov, B.V., (1930) Interpretation of gravitational observations in the case of one contact surface, pp. 569-574. , Russia, Doklady Akad. Nauk SSSR; Malkin, N.P., (1931) On the solution of the inverse magnetometric problem for the case of one of the contact surface (case plasteurasia lying masses), 9, pp. 232-235. , Doklady Akad. Nauk SSSR, Russia, ser. А; Martyshko, P.S., Ladovskii, I.V., Tsidaev, A.G., Construction of regional geophysical models based on the joint interpretation of gravitaty and seismic data (2010) Izvestiya, Physics of the Solid Earth, 46 (11), pp. 931-942. , Russia; Akimova, E.N., (2009) Parallel algorithms for solving the gravimetry and magnetometry inverse problem on MVS-1000, (4), pp. 181-189. , Vestnik NNGU, Russia; Akimova, E.N., Martyshko, P.S., Misilov, V.E., Algorithms for solving the structural gravity problem in a multilayer medium (2013) Doklady Earth Sciences, 453, pp. 1278-1281. , Russia; Martyshko, P.S., Prutkin, I.L., (2003) Technology of separation of gravitational field sources in depth, 25 (3), pp. 159-168. , Geofiz. Zh, Russia
Correspondence Address	Martyshko, P.S.; Bulashevich Institute of Geophysics of the UB RASRussian Federation
Publisher	International Multidisciplinary Scientific Geoconference
Conference name	14th International Multidisciplinary Scientific Geoconference and EXPO, SGEM 2014
Conference date	17 June 2014 through 26 June 2014
Conference code	109719
Language of Original Document	English
Abbreviated Source Title	Int. Multidisciplinary Sci. Geoconf. Surveying Geology Mining Ecology Manage., SGEM
Source	Scopus