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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 512–522
DOI: https://doi.org/10.7868/S0044466915030096 (Mi zvmmf10177) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes

V. I. Golubev, I. B. Petrov, N. I. Khokhlov, K. I. Shul'ts

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
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DOI: https://doi.org/10.7868/S0044466915030096
Abstract: Wave propagation in fractured rock in the course of seismic exploration is studied. The grid-characteristic method on hexahedral meshes is extended to the case of an elastic medium with empty and fluid-saturated cracks. The crack effect on wave propagation in the medium is taken into account by introducing cracks at the stage of grid generation with boundary conditions and conditions on the crack edges specified in explicit form. This method is used to obtain wave patterns near an extended inclined crack. The problem of numerically computing the seismic effect produced by a cluster of vertical and subvertical cracks is given in a complete three-dimensional formulation. The structure of the resulting pattern and the influence exerted by the crack-filling substance on the signal recorded on the surface are examined.
Key words: hyperbolic equations, grid-characteristic numerical method, mathematical simulation, fractured media.
Received: 27.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 509–518
DOI: https://doi.org/10.1134/S0965542515030082
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 74L05; Secondary 74J05, 74R10
Language: Russian
Citation: V. I. Golubev, I. B. Petrov, N. I. Khokhlov, K. I. Shul'ts, “Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 512–522; Comput. Math. Math. Phys., 55:3 (2015), 509–518
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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