Geodesic
Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 175-181

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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. 
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     author = {D. M. Vishnevsky and V. V. Lisitsa and V. A. Tcheverda},
     title = {Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {175--181},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a6/}
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D. M. Vishnevsky; V. V. Lisitsa; V. A. Tcheverda. Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 175-181. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a6/