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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2013 Volume 16, Number 1, Pages 45–55 (Mi sjvm497)

This article is cited in 6 papers

Finite difference simulation of elastic waves propagation through 3D heterogeneous multiscale media based on locally refined grids

V. I. Kostina, V. V. Lisitsab, G. V. Reshetovac, V. A. Tcheverdab

a Intel, Novosibirsk
b Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: In order to simulate the interaction of seismic waves with microheterogeneities (like cavernous/fractured reservoirs), a finite difference technique based on locally refined in time and in space grids is used. The need to use these grids is due to essentially different scales of heterogeneities in the reference medium and in the reservoir. Parallel computations are based on Domain Decomposition of the target area into elementary subdomains in both the reference medium (a coarse grid) and the reservoir (a fine grid). Each subdomain is assigned to its specific Processor Unit which forms two groups: for the reference medium and for the reservoir. The data exchange between PU within the group is performed by non-blocking iSend/iReceive MPI commands. The data exchange between the two groups is done simultaneously with coupling a coarse and a fine grids and is controlled by a specially designated PU. The results of numerical simulation for a realistic model of fracture corridors are presented and discussed.

Key words: seismic waves, finite difference techniques, domain decomposition, interpolation, groups of processor elements.

UDC: 550.341

Received: 06.10.2011
Revised: 23.03.2012


 English version:
Numerical Analysis and Applications, 2013, 6:1, 40–48

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