Abstract:
The purpose of this article is to study the problem of propagation of near-surface disturbance in massive rocks containing heterogeneities – empty or filled cracks. The numerical solution of wave propagation problems in such a heterogeneous media obtained. Parameters of the response from fractured reservoir depending on the parameters of the problem investigated: cracks distribution density, fractured reservoir extent, the number of cracks, initial disturbance locations, cracks inclination, disturbance frequency. The concept of response anisotropy introduced; dependence of the anisotropy of the above parameters studied.
The authors use grid-characteristic method on triangular mesh with boundary conditions at the interface between rock and crack, as well as on free surfaces in explicit form. The proposed numerical method is suitable for investigation of the interaction of seismic waves with heterogeneous inclusions, as it allows designing the most accurate numerical algorithms at the boundaries of integration area and the media contacts.
Citation:
I. E. Kvasov, I. B. Petrov, “Numerical study of anisotropy of wave responses from fractured reservoir by grid-characteristic method”, Mat. Model., 23:10 (2011), 97–106; Math. Models Comput. Simul., 4:3 (2012), 336–343
\Bibitem{KvaPet11}
\by I.~E.~Kvasov, I.~B.~Petrov
\paper Numerical study of anisotropy of wave responses from fractured reservoir by grid-characteristic method
\jour Mat. Model.
\yr 2011
\vol 23
\issue 10
\pages 97--106
\mathnet{http://mi.mathnet.ru/mm3167}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 3
\pages 336--343
\crossref{https://doi.org/10.1134/S2070048212030064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928996281}
Linking options:
https://www.mathnet.ru/eng/mm3167
https://www.mathnet.ru/eng/mm/v23/i10/p97
This publication is cited in the following 3 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
I. E. Kvasov, V. B. Leviant, I. B. Petrov, “Numerical study of wave propagation in porous media with the use of the grid-characteristic method”, Comput. Math. Math. Phys., 56:9 (2016), 1620–1630
Voroshchuk D.N., Miryaha V.A., Petrov I.B., Sannikov A.V., “Discontinuous Galerkin Method For Wave Propagation in Elastic Media With Inhomogeneous Inclusions”, Russ. J. Numer. Anal. Math. Model, 31:1 (2016), 41–50
Citation in format AMSBIB
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