Geodesic
Simulation of seismic wave propagation in heterogeneous media
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 415-429

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The paper presents a review of numerical methods for calculation of seismic wave fields in heterogeneous elastic media. In addition, a special attention is being given to the method for the calculation of transient wave fields for viscoelastic media models. The method is based on a combination of the integral Laguerre transform (with respect to time) with the Fourier–Bessel transform along the radial coordinate and a finite difference technique with respect to the vertical coordinate. Some examples of the calculation of seismic wave fields are given. 
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     author = {B. G. Mikhailenko},
     title = {Simulation of seismic wave propagation in heterogeneous media},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {415--429},
     publisher = {mathdoc},
     volume = {6},
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     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a6/}
}
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B. G. Mikhailenko. Simulation of seismic wave propagation in heterogeneous media. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 415-429. http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a6/