Abstract:
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.
Citation:
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”, Mat. Model., 22:11 (2010), 109–122; Math. Models Comput. Simul., 3:3 (2011), 399–409
\Bibitem{KvaPanPet10}
\by I.~E.~Kvasov, S.~A.~Pankratov, I.~B.~Petrov
\paper Computation of dynamic processes in continuous media with a~crack initiated by the near-surface disturbance using grid-characteristic method
\jour Mat. Model.
\yr 2010
\vol 22
\issue 11
\pages 109--122
\mathnet{http://mi.mathnet.ru/mm3044}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 3
\pages 399--409
\crossref{https://doi.org/10.1134/S2070048211030070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928995043}
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https://www.mathnet.ru/eng/mm3044
https://www.mathnet.ru/eng/mm/v22/i11/p109
This publication is cited in the following 5 articles:
I. A. Mitkovets, N. I. Khokhlov, “Grid-characteristic method using superimposed grids in the problem of seismic exploration of fractured geological media”, CMIT, 7:3 (2023), 28
V. I. Golubev, N. I. Khokhlov, “Estimation of anisotropy of seismic response from fractured geological objects”, Computer Research and Modeling, 10:2 (2018), 231–240
Golubev V.I., Gilyazutdinov R.I., Petrov I.B., Khokhlov N.I., Vasyukov A.V., “Simulation of Dynamic Processes in Three-Dimensional Layered Fractured Media With the Use of the Grid-Characteristic Numerical Method”, J. Appl. Mech. Tech. Phys., 58:3 (2017), 539–545
I. E. Kvasov, I. B. Petrov, “High-performance computer simulation of wave processes in geological media in seismic exploration”, Comput. Math. Math. Phys., 52:2 (2012), 302–313
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