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This article is cited in 10 scientific papers (total in 10 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
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.
DOI:
https://doi.org/10.7868/S0044466915030096
 Full text:
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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:3, 509–518
Bibliographic databases:
    
UDC:
519.634
MSC: Primary 74L05; Secondary 74J05, 74R10
Received: 27.05.2014
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
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A. O. Kazakov, “On the calculation of border and contact nodes by grid-characteristic method on non-periodic tetrahedral grids”, Num. Anal. Appl., 11:4 (2018), 298–310
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V. I. Golubev, O. Ya. Voinov, I. B. Petrov, “Seismic imaging of fractured elastic media on the basis of the grid-characteristic method”, Comput. Math. Math. Phys., 58:8 (2018), 1309–1315
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P. V. Stognii, N. I. Khokhlov, I. B. Petrov, “Chislennoe modelirovanie rasprostraneniya uprugikh voln v geologicheskikh sredakh s gazovymi polostyami s ispolzovaniem setochno-kharakteristicheskogo metoda”, Sib. zhurn. vychisl. matem., 23:3 (2020), 325–338
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