DBPapers
DOI: 10.5593/SGEM2014/B21/S8.092

PARALLEL ALGORITHMS FOR SOLVING STRUCTURAL INVERSE MAGNETOMETRY PROBLEM ON MULTICORE AND GRAPHICS PROCESSORS

E. N. Akimova,. P. S. Martyshko, V. E. Misilov
Wednesday 1 October 2014 by Libadmin2014

References: 14th International Multidisciplinary Scientific GeoConference SGEM 2014, www.sgem.org, SGEM2014 Conference Proceedings, ISBN 978-619-7105-10-0 / ISSN 1314-2704, June 19-25, 2014, Book 2, Vol. 1, 713-720 pp

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.

Keywords: gravimetry and magnetometry, inverse problems, parallel algorithms, multicore and graphics processors

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