|
This article is cited in 22 scientific papers (total in 22 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
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.
DOI:
https://doi.org/10.7868/S0044466913100062
 Full text:
PDF file (970 kB)
References:
PDF file
HTML file
English version:
Computational Mathematics and Mathematical Physics, 2013, 53:10, 1523–1533
Bibliographic databases:
   
UDC:
519.634
Received: 21.02.2013
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
\Bibitem{GolPetKho13}
\by V.~I.~Golubev, I.~B.~Petrov, N.~I.~Khokhlov
\paper Numerical simulation of seismic activity by the grid-characteristic method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 10
\pages 1709--1720
\mathnet{http://mi.mathnet.ru/zvmmf9934}
\crossref{https://doi.org/10.7868/S0044466913100062}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3254892}
\elib{https://elibrary.ru/item.asp?id=20280327}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 10
\pages 1523--1533
\crossref{https://doi.org/10.1134/S0965542513100060}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000325962300011}
\elib{https://elibrary.ru/item.asp?id=21883359}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84886019348}
Linking options:
http://mi.mathnet.ru/eng/zvmmf9934 http://mi.mathnet.ru/eng/zvmmf/v53/i10/p1709
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
95, no. 3, 2017, 287–290
 -
V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Simulation of seismic processes inside the planet using hybrid grid-characteristic method”, Math. Models Comput. Simul., 7:5 (2015), 439–445
 -
V. A. Miryaha, A. V. Sannikov, I. B. Petrov, “Discontinuous Galerkin method for numerical simulation of dynamic processes in solids”, Math. Models Comput. Simul., 7:5 (2015), 446–455
-
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”, Comput. Math. Math. Phys., 55:3 (2015), 509–518
-
A. V. Favorskaya, I. B. Petrov, D. I. Petrov, N. I. Khokhlov, “Numerical modeling of wave processes in layered media in the Arctic”, Math. Models Comput. Simul., 8:4 (2016), 348–357
-
A. V. Favorskaya, I. B. Petrov, V. I. Golubev, N. I. Khokhlov, “Chislennoe modelirovanie setochno-kharakteristicheskim metodom vozdeistviya zemletryasenii na sooruzheniya”, Matem. modelirovanie, 27:12 (2015), 109–120
-
N. Khokhlov, N. Yavich, M. Malovichko, I. Petrov, “Solution of large-scale seismic modeling problems”, 4Th International Young Scientist Conference on Computational Science, Procedia Computer Science, 66, ed. P. Sloot, A. Boukhanovsky, G. Athanassoulis, A. Klimentov, Elsevier Science BV, 2015, 191–199
-
A. V. Favorskaya, I. B. Petrov, “Wave responses from oil reservoirs in the arctic shelf zone”, Dokl. Earth Sci., 466:2 (2016), 214–217
-
V. A. Biryukov, V. A. Miryaha, I. B. Petrov, N. I. Khokhlov, “Simulation of elastic wave propagation in geological media: Intercomparison of three numerical methods”, Comput. Math. Math. Phys., 56:6 (2016), 1086–1095
-
D. I. Petrov, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method”, Comput. Math. Math. Phys., 56:6 (2016), 1128–1141
-
A. Favorskaya, I. Petrov, N. Khokhlov, “Numerical modeling of wave processes during shelf seismic exploration”, Knowledge-Based and Intelligent Information & Engineering Systems, Proceedings of the 20Th International Conference Kes-2016, Procedia Computer Science, 96, eds. R. Howlett, L. Jain, B. Gabrys, C. Toro, C. Lim, Elsevier Science BV, 2016, 920–929
-
I. Petrov, “Computational problems in arctic research”, International Conference on Computer Simulation in Physics and Beyond 2015, Journal of Physics Conference Series, 681, IOP Publishing Ltd, 2016, 012026
-
P. V. Stognii, D. I. Petrov, N. I. Khokhlov, I. B. Petrov, “Simulation of seismic processes in geological exploration of arctic shelf”, Russ. J. Numer. Anal. Math. Model, 32:6 (2017), 381–392
-
A. Favorskaya, I. Petrov, V. Golubev, N. Khokhlov, “Numerical simulation of earthquakes impact on facilities by grid characteristic method”, Knowledge-Based and Intelligent Information & Engineering Systems, Procedia Computer Science, 112, eds. C. Zanni-Merk, C. Frydman, C. Toro, Y. Hicks, R. Howlett, L. Jain, Elsevier Science BV, 2017, 1206–1215
-
A. Favorskaya, I. Petrov, A. Grinevskiy, “Numerical simulation of fracturing in geological medium”, Knowledge-Based and Intelligent Information & Engineering Systems, Procedia Computer Science, 112, ed. C. Zanni-Merk, C. Frydman, C. Toro, Y. Hicks, R. Howlett, L. Jain, Elsevier Science BV, 2017, 1216–1224
-
A. V. Favorskaya, I. B. Petrov, “Chislennoe modelirovanie volnovykh protsessov v skalnykh massivakh setochno-kharakteristicheskim metodom”, Matem. modelirovanie, 30:3 (2018), 37–51
-
P. V. Stognii, D. I. Petrov, N. I. Khokhlov, I. B. Petrov, “Chislennoe modelirovanie setochno-kharakteristicheskim metodom vliyaniya ledovykh obrazovanii na seismicheskie otkliki”, Matem. modelirovanie, 30:8 (2018), 107–115
-
V A. Favorskaya, M. S. Zhdanov, N. I. Khokhlov, I. B. Petrov, “Modelling the wave phenomena in acoustic and elastic media with sharp variations of physical properties using the grid-characteristic method”, Geophys. Prospect., 66:8 (2018), 1485–1502
-
Serdyukov A., Koulakov I., Yablokov A., “Numerical Modelling of Seismic Waves From Earthquakes Recorded By a Network on Ice Floes”, Geophys. J. Int., 218:1 (2019), 74–87
-
N. I. Khokhlov, V. O. Stetsyuk, I. A. Mitskovets, “Overset grids approach for topography modeling in elastic-wave modeling using the grid-characteristic method”, Kompyuternye issledovaniya i modelirovanie, 11:6 (2019), 1049–1059
-
N. I. Khokhlov, I. B. Petrov, “Primenenie setochno-kharakteristicheskogo metoda dlya resheniya zadach rasprostraneniya dinamicheskikh volnovykh vozmuschenii na vysokoproizvoditelnykh vychislitelnykh sistemakh”, Trudy ISP RAN, 31:6 (2019), 237–252
-
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
|
| Number of views: |
| This page: | 452 | | Full text: | 113 | | References: | 42 | | First page: | 20 |
|
Terms of Use