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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 10, Pages 1709–1720
DOI: https://doi.org/10.7868/S0044466913100062 (Mi zvmmf9934) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Numerical simulation of seismic activity by the grid-characteristic method

V. I. Golubev, I. B. Petrov, N. I. Khokhlov

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
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DOI: https://doi.org/10.7868/S0044466913100062
Abstract: Seismic activity in homogeneous and layered enclosing rock masses is studied. A numerical mechanical-mathematical model of a hypocenter is proposed that describes the whole range of elastic perturbations propagating from the hypocenter. Synthetic beachball plots computed for various fault plane orientations are compared with the analytical solution in the case of homogeneous rock. A detailed analysis of wave patterns and synthetic seismograms is performed to compare seismic activities in homogeneous and layered enclosing rock masses. The influence exerted by individual components of a seismic perturbation on the stability of quarry walls is analyzed. The grid-characteristic method is used on three-dimensional parallelepipedal and curvilinear structured grids with boundary conditions set on the boundaries of the integration domain and with well-defined contact conditions specified in explicit form.
Key words: hyperbolic equations, grid-characteristic method, mathematical modeling, heterogeneous media.
Received: 21.02.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 10, Pages 1523–1533
DOI: https://doi.org/10.1134/S0965542513100060
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Numerical simulation of seismic activity by the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1709–1720; Comput. Math. Math. Phys., 53:10 (2013), 1523–1533
Citation in format AMSBIB
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    • This publication is cited in the following 34 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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