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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 10, Pages 1709–1720 (Mi zvmmf9934)  

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.


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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
\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
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 10
\pages 1523--1533

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    This publication is cited in the following articles:
    1. 95, no. 3, 2017, 287–290  crossref  mathscinet  zmath  isi  scopus
    2. 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  mathnet  crossref  elib
    3. 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  mathnet  crossref  elib
    4. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    5. 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  mathnet  crossref  elib
    6. 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  mathnet  elib
    7. 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  crossref  isi  scopus
    8. A. V. Favorskaya, I. B. Petrov, “Wave responses from oil reservoirs in the arctic shelf zone”, Dokl. Earth Sci., 466:2 (2016), 214–217  crossref  mathscinet  isi  elib  scopus
    9. 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  mathnet  crossref  crossref  isi  elib
    10. 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  mathnet  crossref  crossref  isi  elib
    11. 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  crossref  isi  scopus
    12. 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  crossref  mathscinet  isi  scopus
    13. 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  crossref  mathscinet  zmath  isi  scopus
    14. 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  crossref  isi  scopus
    15. 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  crossref  isi  scopus
    16. A. V. Favorskaya, I. B. Petrov, “Chislennoe modelirovanie volnovykh protsessov v skalnykh massivakh setochno-kharakteristicheskim metodom”, Matem. modelirovanie, 30:3 (2018), 37–51  mathnet  elib
    17. 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  mathnet
    18. 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  crossref  isi  scopus
    19. 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  crossref  isi
    20. 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  mathnet  crossref
    21. 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  mathnet  crossref
    22. 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  mathnet  crossref
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