Skip to main content
Log in

Numerical modeling of dynamic wave effects in rock masses

  • Mathematical Physics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

Spatial dynamic wave effects occurring in rocks with ravines and caverns were studied. The influence exerted by the explosion type and the cavern-to-ravine distance on the formation of spatial dynamic wave patterns and seismograms was analyzed in the case of horizontal and vertical reception lines. The gridcharacteristic method and the full wave joint numerical modeling of elastic and acoustic waves were used.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Bobet, A. Fakhimi, S. Johnson, J. Morris, F. Tonon, and M. R. Yeung, J. Geotech. Geoenviron. Eng. 135 (11), 1547–1561 (2009).

    Article  Google Scholar 

  2. T. Belytschko, M. Plesha, and C. H. Dowding, Int. J. Numer. Anal. Methods Geomech. 8 (5), 473–492 (1984).

    Article  Google Scholar 

  3. L. E. Schwer and H. E. Lindberg, Int. J. J. Numer. Anal. Methods Geomech. 16 (7), 529–540 (1992).

    Article  Google Scholar 

  4. C. H. Dowding, T. B. Belytschko, and H. J. Yen, Int. J. Numer. Anal. Methods Geomech. 7 (1), 117–127 (1983).

    Article  Google Scholar 

  5. A. V. Favorskaya and I. B. Petrov, Dokl. Earth Sci. 466 (2), 214–217 (2016).

    Article  Google Scholar 

  6. I. B. Petrov, A. V. Favorskaya, M. V. Muratov, V. A. Biryukov, and A. V. Sannikov, Dokl. Math. 90 (3), 781–783 (2014).

    Article  Google Scholar 

  7. A. V. Favorskaya, I. B. Petrov, A. V. Sannikov, and I. E. Kvasov, Math. Models Comput. Simul. 5 (5), 409–425 (2013).

    Article  Google Scholar 

  8. V. I. Golubev, I. B. Petrov, and N. I. Khokhlov, Comput. Math. Math. Phys. 53 (10), 1523–1533 (2013).

    Article  MathSciNet  Google Scholar 

  9. K. M. Magomedov and A. S. Kholodov, Grid-Characteristic Numerical Methods (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  10. V. D. Ivanov, V. I. Kondaurov, I. B. Petrov, and A. S. Kholodov, Mat. Model. 2 (11), 10–29 (1990).

    MathSciNet  Google Scholar 

  11. S. Friend, Sinkholes (Pineapple, 2002).

    Google Scholar 

  12. K. K. E. Neuendorf, J. P. Mehl, Jr., and J. A. Jackson, Glossary of Geology (Am. Geological Inst., Alexandria, Virginia, 2005).

    Google Scholar 

  13. W. Nowacki, Teoria Sprezystosci (Panstwowe Wydawnictwo Naukowe, Warsaw, 1970).

    MATH  Google Scholar 

  14. R. LeVeque, Finite Volume Methods for Hyperbolic Problems (Cambridge Univ. Press, Cambridge, 2002).

    Book  MATH  Google Scholar 

  15. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1959).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. B. Petrov.

Additional information

Original Russian Text © A.V. Favorskaya, I.B. Petrov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 474, No. 4, pp. 418–422.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Favorskaya, A.V., Petrov, I.B. Numerical modeling of dynamic wave effects in rock masses. Dokl. Math. 95, 287–290 (2017). https://doi.org/10.1134/S1064562417030139

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562417030139

Navigation