Geodesic
Simulation of seismic waves in anisotropic media
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 498 (2021), pp. 59-64

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The problem of seismic wave propagation in a heterogeneous geological medium is considered. The dynamic behavior of the medium is described by the linear elastic system of equations. The stratification of the medium is taken into account using the vertically transversely isotropic model. The numerical solution is obtained by applying the grid-characteristic method on parallelepipedal meshes. A new approach for the explicit solution of the contact isotropic–anisotropic problem is developed. A computational algorithm for the full-wave simulation of body and surface waves is presented. Its performance is demonstrated as applied to a two-dimensional anisotropic Marmousi-2 model.
Keywords: mathematical modeling, grid-characteristic method, seismic survey, anisotropic medium, seismic waves. 
@article{DANMA_2021_498_a11,
     author = {I. B. Petrov and V. I. Golubev and V. Yu. Petrukhin and I. S. Nikitin},
     title = {Simulation of seismic waves in anisotropic media},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {59--64},
     publisher = {mathdoc},
     volume = {498},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_498_a11/}
}
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I. B. Petrov; V. I. Golubev; V. Yu. Petrukhin; I. S. Nikitin. Simulation of seismic waves in anisotropic media. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 498 (2021), pp. 59-64. http://geodesic.mathdoc.fr/item/DANMA_2021_498_a11/