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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 10, Pages 1762–1772 (Mi zvmmf10289)  

This article is cited in 4 scientific papers (total in 4 papers)

Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers

V. A. Biryukov, M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya

Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

Abstract: Seismic responses from fractured geological layers are mathematically simulated by applying the grid-characteristic method on unstructured tetrahedral meshes with the use of high-performance computer systems. The method is intended for computing complicated spatial dynamical processes in complex heterogeneous media and is characterized by exact formulation of contact conditions. As a result, it can be applied to the simulation of seismic exploration problems, including in regions with a large number of inhomogeneities, examples of which are fractured structures. The use of unstructured tetrahedral meshes makes it possible to specify geological cracks of various shapes and spatial orientations. As a result, problems are solved in a formulation maximally close to an actual situation. A cluster of computers is used to improve the accuracy of the computation by optimizing its duration.

Key words: grid-characteristic method, unstructured tetrahedral meshes, seismic exploration, fractured media, seismic waves, numerical simulation, high-performance computer systems, parallel algorithms.

Funding Agency Grant Number
Russian Science Foundation 14-11-00263


DOI: https://doi.org/10.7868/S0044466915100075

Full text: PDF file (2420 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2015, 55:10, 1733–1742

Bibliographic databases:

UDC: 519.634
Received: 22.10.2014
Revised: 28.04.2015

Citation: V. A. Biryukov, M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya, “Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1762–1772; Comput. Math. Math. Phys., 55:10 (2015), 1733–1742

Citation in format AMSBIB
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    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:
    1. M. V. Vesnik, “Fizicheskaya interpretatsiya matematicheski strogogo resheniya zadachi difraktsii pri pomoschi evristicheskikh formul”, Trudy seminara po differentsialnym i funktsionalno-differentsialnym uravneniyam v RUDN pod rukovodstvom A. L. Skubachevskogo, SMFN, 62, RUDN, M., 2016, 32–52  mathnet
    2. A. V. Favorskaya, I. B. Petrov, “Study of seismic isolation by full-wave numerical modeling”, Dokl. Earth Sci., 481:2 (2018), 1070–1072  mathnet  crossref  crossref  isi  scopus
    3. I. B. Petrov, M. V. Muratov, “Primenenie setochno-kharakteristicheskogo metoda v reshenii pryamykh zadach seismorazvedki treschinovatykh plastov (obzornaya statya)”, Matem. modelirovanie, 31:4 (2019), 33–56  mathnet  crossref  elib
    4. M. V. Muratov, I. B. Petrov, “Application of mathematical fracture models to simulation of exploration seismology problems by the grid-characteristic method”, Kompyuternye issledovaniya i modelirovanie, 11:6 (2019), 1077–1082  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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