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

Sib. Zh. Vychisl. Mat., 2012 Volume 15, Number 2, Pages 175–181 (Mi sjvm468)

This article is cited in 1 paper

Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media

D. M. Vishnevsky, V. V. Lisitsa, V. A. Tcheverda

A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: This paper presents an original multi-scheme approach to numerical simulation of seismic wave propagation in models with anisotropic formations. In order to simulate wave propagation in anisotropic parts of the model, the Lebedev scheme is used. This scheme is anisotropy-oriented but highly intense in terms of computation. In the main part of the model, a highly efficient standard staggered grids scheme is proposed for use. The two schemes are coupled to ensure the reflection/transmission coefficients to converge with a prescribed order. The algorithm presented combines the universality of the Lebedev scheme and the efficiency of the standard staggered grid scheme.

Key words: finite difference schemes, differential approach, elastic wave equation, anisotropy.

UDC: 519.63+51-72+517.962.1+517.962.8

Received: 27.10.2011


 English version:
Numerical Analysis and Applications, 2012, 5:2, 144–149

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