Skip to main content
SpringerLink
Log in

The Comparison of Two Approaches to Modeling the Seismic Waves Spread in the Heterogeneous 2D Medium with Gas Cavities

  • Conference paper
  • First Online:
Smart Modelling For Engineering Systems

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 214))

Abstract

The problem of detecting the hydrocarbon deposits in the heterogeneous media is very important and difficult for solving. We suppose the grid-characteristic method of the third order of accuracy for solving the problem of the direct modeling of the seismic waves spread in such a medium with the presence of gas cavities and without them. The numerical method used in all the computations is described in detail. We present the results of modeling, the wave fields of the normal component of the seismic velocity, and the seismograms for the models of the heterogeneous media with several gas cavities and without them. The results demonstrate the possibility of detecting the seismic reflections from the geological layers and gas cavities. In the previous work, we solved a problem of modeling the seismic waves spread through the heterogeneous media with the use of the transparent method, which also showed the correct results. In this work, we carry out the comparative analysis of the previous results with the new ones. The grid-characteristic method of the third order of accuracy and the transparent method are both appropriate for solving the described problem in general. However, the results, which were obtained using the grid-characteristic method of the third order of accuracy under consideration the contact conditions between the geological layers, demonstrate the clearer seismic reflections and the more accurate velocity meanings near the contact boundaries between different media respect to the transparent method, which does not consider any contact conditions between the geological layers.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Zhan, Q., Sun, Q., Ren, Q., Fang, Y., Wang, H., Liu, Q.H.: A discontinuous Galerkin method for simulating the effects of arbitrary discrete fractures on elastic wavepropagation. Geophys. J. Int. 210(2), 1219–1230 (2017)

    Article  Google Scholar 

  2. Khokhlov, N., Stognii P.: Novel approach to modelling the seismic waves in the areas with complex fractured geological structures. Minerals 10(2), 122.1–122.17 (2020)

    Google Scholar 

  3. Castroa, J., Cashman, K., Joslin, N., Olmstedc, B.: Structural origin of large gas cavities in the Big Obsidian Flow, Newberry Volcano. J. Volcanol. Geotherm. Res. 114(3), 313–330 (2002)

    Article  Google Scholar 

  4. Reshetova, G., Cheverda, V., Lisitsa, V., Khaidykov, V.: A parallel algorithm for studying the ice cover impact onto seismic waves propagation in the shallow arctic waters. Commun. Comput. Inf. Sci. 965, 3–14 (2019)

    Google Scholar 

  5. Marchenko, A., Eik, K.: Iceberg towing in open water: mathematical modeling and analysis of model tests. Cold Reg. Sci. Technol. 73, 12–31 (2011)

    Article  Google Scholar 

  6. Stognii, P.V., Khokhlov, N.I.: 2D seismic prospecting of gas pockets. In: Petrov, I.B., Favorskaya, A.V., Favorskaya, M.N., Simakov, S.S., Jain, L.C. (eds.) Smart Modeling for Engineering Systems. GCM50 2018, SIST, vol. 133, pp. 156–166. Springer, Cham (2019)

    Chapter  Google Scholar 

  7. Stognii, P., Khokhlov, N., Petrov, I.: Numerical modeling of wave processes in multilayered media with gas-containing layers: comparison of 2D and 3D models. Doklady Math. 100(3), 586–588 (2019)

    Article  Google Scholar 

  8. Favorskaya, A.V., Khokhlov, N.I., Petrov, I.B.: Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape. Lobachevskii J. Math. 41(4), 512–525 (2020)

    Article  MathSciNet  Google Scholar 

  9. Magomedov, K., Kholodov, A.: Grid Characteristic Methods. Nauka, Moscow (1988)

    MATH  Google Scholar 

  10. Kholodov, A.S., Kholodov Y.A.: Monotonicity criteria for difference schemes designed for hyperbolic equations. Comput. Math. Math. Phys. 46(9), 1560–1588 (2006)

    Google Scholar 

  11. LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge University Press (2002)

    Google Scholar 

  12. De Basabe, J.D., Sen, M.K., Wheeler, M.F.: The interior penalty discontinuous Galerkin method for elastic wave propagation: grid dispersion. Geophys. J. Int. 175(1), 83–93 (2008)

    Article  Google Scholar 

  13. Dumbser, M., Käser, M.: An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes—II. The three-dimensional isotropic case. Geophys. J. Int. 167(1), 319–336 (2006)

    Google Scholar 

  14. Wilcox, L.C., Stadler, G., Burstedde, C., Ghattas, O.: A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media. J. Comput. Phys. 229(24), 9373–9396 (2010)

    Article  MathSciNet  Google Scholar 

  15. Komatitsch, D., Tromp, J.: Introduction to the spectral element method for three-dimensional seismic wave propagation. Geophys. J. Int. 139(3), 806–822 (1999)

    Article  Google Scholar 

  16. Capdeville, Y., Chaljub, E., Montagner, J.P.: Coupling the spectral element method with a modal solution for elastic wave propagation in global earth models. Geophys. J. Int. 152(1), 34–67 (2003)

    Article  Google Scholar 

  17. Moczo, P., Robertsson, J.O., Eisner, L.: The finite-difference time-domain method for modeling of seismic wave propagation. Adv. Geophys. 48, 421–516 (2007)

    Article  Google Scholar 

  18. Wang, T., Tang, X.: Finite-difference modeling of elastic wave propagation: a nonsplitting perfectly matched layer approach. Geophysics 68(5), 1749–1755 (2003)

    Article  Google Scholar 

  19. Graves, R.W.: Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences. Bull. Seismol. Soc. Am. 86(4), 1091–1106 (1996)

    Google Scholar 

  20. Khokhlov, N., Golubev, V.: On the class of compact grid-characteristic schemes. In: Petrov, I.B., Favorskaya, A.V., Favorskaya, M.N., Simakov, S.S., Jain, L.C. (eds.) Smart Modeling for Engineering Systems. GCM50 2018, SIST, vol. 133, pp. 64–77. Springer, Cham (2019)

    Chapter  Google Scholar 

  21. Nikitin, I.S., Burago, N.G., Golubev, V.I., Nikitin, A.D.: Methods for calculating the dynamics of layered and block media with nonlinear contact conditions. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) CMMASS 2019, SIST, vol. 173, pp. 171–183. Springer, Singapore (2019)

    Google Scholar 

  22. Golubev, V.: The usage of grid-characteristic method in seismic migration problems. In: Petrov, I.B., Favorskaya, A.V., Favorskaya, M.N., Simakov, S.S., Jain, L.C. (eds.) Smart Modeling for Engineering Systems. GCM50 2018, SIST, vol. 133, pp. 143–155. Springer, Cham (2019)

    Chapter  Google Scholar 

  23. Favorskaya, A.V.: Elastic wave scattering on a gas-filled fracture perpendicular to plane P-wave front. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) CMMASS 2019, SIST, vol. 173, pp. 213–224. Springer, Singapore (2019)

    Google Scholar 

  24. Beklemysheva, K.A., Biryukov, V.A., Kazakov, A.O.: Numerical methods for modeling focused ultrasound in biomedical problems. Procedia Comput. Sci. 156, 79–86 (2019)

    Article  Google Scholar 

  25. Favorskaya, A., Khokhlov, N.: Icebergs explosions for prevention of offshore collision: computer simulation and analysis. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds.) KES-IDT 2020, SIST, vol. 193, pp. 201–210. Springer, Singapore (2020)

    Google Scholar 

  26. Favorskaya, A., Golubev, V.: Study the elastic waves propagation in multistory buildings, taking into account dynamic destruction. In: Czarnowski, I., Howlett, R., Jain, L.C. (eds.) KES-IDT 2020, SIST, vol. 193, pp. 189–199. Springer, Singapore (2020)

    Google Scholar 

  27. Favorskaya, A.: Computation the bridges earthquake resistance by the grid-characteristic method. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds.) KES-IDT 2020, SIST, vol. 193, pp. 179–187. Springer, Singapore (2020)

    Google Scholar 

  28. Lopato, A., Utkin, P.: The usage of grid-characteristic method for the simulation of flows with detonation waves. In: Petrov, I.B., Favorskaya, A.V., Favorskaya, M.N., Simakov, S.S., Jain, L.C. (eds.) Smart Modeling for Engineering Systems. GCM50 2018, SIST, vol. 133, pp. 281–290. Springer, Cham (2019)

    Chapter  Google Scholar 

Download references

Acknowledgements

The reported study was funded by RFBR according to the research project № 19-07-00366. This work has been carried out using computing resources of the federal collective usage center Complex for Simulation and Data Processing for Mega-science Facilities at NRC “Kurchatov Institute”, http://ckp.nrcki.ru/.

Author information

Authors and Affiliations

  1. Moscow Institute of Physics and Technology (National Research University), 9, Institutsky per., Dolgoprudny, Moscow Region, 141701, Russian Federation

    Polina V. Stognii, Nikolay I. Khokhlov, Igor B. Petrov & Alena V. Favorskaya

Authors
  1. Polina V. Stognii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nikolay I. Khokhlov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Igor B. Petrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Alena V. Favorskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Polina V. Stognii .

Editor information

Editors and Affiliations

  1. Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  2. Informatics and Numerical Modeling, Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Russia

    Alena V. Favorskaya

  3. Moscow Institute of Physics and Technology (National Research University), Moscow, Russia

    Igor B. Petrov

  4. Centre for Artificial Intelligence, University of Technology Sydney, Sydney, NSW, Australia

    Lakhmi C. Jain

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Stognii, P.V., Khokhlov, N.I., Petrov, I.B., Favorskaya, A.V. (2021). The Comparison of Two Approaches to Modeling the Seismic Waves Spread in the Heterogeneous 2D Medium with Gas Cavities. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds) Smart Modelling For Engineering Systems. Smart Innovation, Systems and Technologies, vol 214. Springer, Singapore. https://doi.org/10.1007/978-981-33-4709-0_9

Download citation

Publish with us

Policies and ethics

Search

Navigation