Geodesic
Computation of dynamic processes in continuous media with a~crack initiated by the near-surface disturbance using grid-characteristic method
Matematičeskoe modelirovanie, Tome 22 (2010) no. 11, pp. 109-122

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The purpose of this article is to study the problem of the near-surface disturbance in a massive rock containing various heterogeneities – empty or fluid-filled cracks. Numerical solutions of problems of wave propagation in such a considerably heterogeneous media taking into account the plasticity of the material obtained. A review of all wave patterns, elastic and elastoplastic, presented. The problem of waves identification using seismograms obtained in the near-surface receiver investigated. Grid-characteristic method for triangle meshes with formulation of boundary conditions on an interface between rock and crack, and also on free surfaces in an explicit form is used in this article. The offered numerical method has a great generality and is suitable for research of processes of interaction of seismic waves with heterogeneous inclusions, because it allows the most correct construction of computational algorithms for the boundaries of integration region and media.
Keywords: computational methods, computer technology, mathematical modeling, parallel computing, high-performance computing technology, continuum mechanics, dynamics. 
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     author = {I. E. Kvasov and S. A. Pankratov and I. B. Petrov},
     title = {Computation of dynamic processes in continuous media with a~crack initiated by the near-surface disturbance using grid-characteristic method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {109--122},
     publisher = {mathdoc},
     volume = {22},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_11_a8/}
}
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I. E. Kvasov; S. A. Pankratov; I. B. Petrov. Computation of dynamic processes in continuous media with a~crack initiated by the near-surface disturbance using grid-characteristic method. Matematičeskoe modelirovanie, Tome 22 (2010) no. 11, pp. 109-122. http://geodesic.mathdoc.fr/item/MM_2010_22_11_a8/