Skip to main content
SpringerLink
Log in

Modeling Wave Responses from Thawed Permafrost Zones

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

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

Abstract

The presence of technological subsurface heat sources in permafrost regions leads to the melting process. It significantly decreases the strength of the geological massif and may lead to the subsidence of the day surface. In this chapter, we investigated the capabilities of the seismic survey for monitoring of this process. To describe the dynamic behavior of thawed zones, the model of the porous fluid-filled medium was used. Its numerical solution in two-dimensional case was obtained with the grid-characteristic method on rectangular grids. It allows to set physically correct contact conditions between elastic and porous media. To increase the simulation precision, the compact scheme for one-dimensional case was proposed and successfully tested. It is based on the extension of the original system with differential consequences. This approach provided the third order of the accuracy on the three-point spatial stencil. Based on a set of computer experiments, the seismic response was analyzed quantitatively and qualitatively.

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. Gassmann, F.: Elasticity of porous media. Vierteljahrsschrder Naturforschenden Gesselschaft 96, 1–23 (1951)

    MathSciNet  Google Scholar 

  2. Biot, M.A.: Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J. Acoust. Soc. Am. 28(2), 168–178 (1956)

    Google Scholar 

  3. Winkler, K.W., Liu, H.L., Johnson, D.L.: Permeability and borehole Stoneley waves: comparison between experiment and theory. Geophysics 54(1), 66–75 (1989)

    Article  Google Scholar 

  4. Sidler, R.: A porosity-based Biot model for acoustic waves in snow. J. Glaciol. 61(228), 789–798 (2015)

    Article  Google Scholar 

  5. Capelli, A., Kapil, J.C., Reiweger, I., Or, D., Schweizer, J.: Speed and attenuation of acoustic waves in snow: Laboratory experiments and modeling with Biot’s theory. Cold Reg. Sci. Technol. 125, 1–11 (2016)

    Article  Google Scholar 

  6. He, J., Rui, Z., Ling, K.: A new method to determine Biot’s coefficients of Bakken samples. J. Nat. Gas Sci. Eng. 35(A), 259–264 (2016)

    Google Scholar 

  7. Dorovsky, V.N.: Continual theory of filtration. Russ. Geol. Geophys. (Geol. i Geofiz.) 30(7), 39–45 (1989)

    Google Scholar 

  8. Dorovsky, V.N., Perepechko, YuV, Fedorov, A.I.: Stoneley waves in the Biot-Johnson and continuum filtration theories. Russ. Geol. Geophysics 53(5), 475–483 (2012)

    Article  Google Scholar 

  9. Sinev, A.V., Romensky, E.I., Dorovsky, V.N.: Effects of a mudcake on Stoneley waves in a fluid-filled porous formation around a borehole. Russ. Geol. Geophys. 53(8), 823–828 (2012)

    Article  Google Scholar 

  10. Favorskaya, A., Golubev, V., Khokhlov, N.: Two approaches to the calculation of air subdomains: theoretical estimation and practical results. Proced. Comput. Sci. 126, 1082–1090 (2018)

    Article  Google Scholar 

  11. Golubev, V.I., Shevchenko, A.V., Petrov, I.B.: Taking into account fluid saturation of bottom sediments in marine seismic survey. Dokl. Math. 100(2), 488–490 (2019)

    Article  Google Scholar 

  12. 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. Smart Innovation Syst. Technol. 173, 171–183 (2020)

    Article  Google Scholar 

  13. Nikitin, I.S., Burago, N.G., Golubev, V.I., Nikitin, A.D.: Mathematical modeling of the dynamics of layered and block media with nonlinear contact conditions on supercomputers. J. Phys: Conf. Ser. 1392(1), 012057 (2019)

    Google Scholar 

  14. Golubev, V.I., Muratov, M.V., Petrov, I.B.: Different approaches for solving inverse seismic problems in fractured media. Smart Innovation Syst. Technol. 173, 199–212 (2020)

    Article  Google Scholar 

  15. Golubev, V.I., Golubeva, YuA: Full-wave simulation of the earthquake initiation process. CEUR Workshop Proc. 2267, 346–350 (2018)

    Google Scholar 

  16. Breus, A., Favorskaya, A., Golubev, V., Kozhemyachenko, A., Petrov, I.: Investigation of seismic stability of high-rising buildings using grid-characteristic method. Procedia Comput. Sci. 154, 305–310 (2019)

    Article  Google Scholar 

  17. Beklemysheva, K.A., Golubev, V.I., Vasyukov, A.V., Petrov, I.B.: Numerical modeling of the seismic influence on an underwater composite oil pipeline. Mathe. Mod. Comput. Simul. 11(5), 715–721 (2019)

    Article  Google Scholar 

  18. Beklemysheva, K.A., Vasyukov, A.V., Golubev, V.I., Zhuravlev, Y.I.: On the estimation of seismic resistance of modern composite oil pipeline elements. Dokl. Math. 97(2), 184–187 (2018)

    Article  MathSciNet  Google Scholar 

  19. Yabe, T., Aoki, T., Sakaguchi, G., Wang, P.Y., Ishikawa, T.: The compact CIP (Cubic-Interpolated Pseudo-particle) method as a general hyperbolic solver. Comput. Fluids 19(3–4), 421–431 (1991)

    Article  MathSciNet  Google Scholar 

  20. Garanzha, V.A., Konshin, V.N.: Numerical algorithms for viscous fluid flows based on high-order accurate conservative compact schemes. Comput. Math. Math. Phys. 39(8), 1321–1334 (1999)

    MathSciNet  MATH  Google Scholar 

  21. Rogov, B.V.: Dispersive and dissipative properties of the fully discrete bicompact schemes of the fourth order of spatial approximation for hyperbolic equations. Appl. Numer. Math. 139, 136–155 (2019)

    Article  MathSciNet  Google Scholar 

  22. Oh, S., Okubo, K., Tsuchiya, T., Takeuchi N.: Two-dimensional numerical analysis of acoustic field using the constrained interpolation profile method. Acoust. Imag. 29 (2008)

    Google Scholar 

  23. Tachioka, Y., Yasuda, Y., Sakuma, T.: Application of the constrained interpolation profile method to room acoustic problems: examination of boundary modeling and spatial/time discretization. Acoust. Sci. Technol. 33, 21–32 (2012)

    Article  Google Scholar 

  24. Yamashita, O., Tsuchiya, T., Iwaya, Y., Otani, M., Inoguchi, Y.: Reflective boundary condition with arbitrary boundary shape for compact-explicit finite-difference time-domain method. Japan. J. Appl. Phys. 54 (2015)

    Google Scholar 

  25. Golubev, V.I., Khokhlov, N.I., Nikitin, I.S., Churyakov, M.A.: Application of compact grid-characteristic schemes for acoustic problems. J. Phys.: Conf. Ser. 1479, 012058 (2020)

    Google Scholar 

Download references

Acknowledgements

This work was supported by the Russian Science Foundation, grant no. 16-11-00100.

Author information

Authors and Affiliations

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

    Vasily I. Golubev & Mikhail Churyakov

  2. Keldysch Institute of Applied Mathematics of the RAS, 4, Miusskaya sq., Moscow, 125047, Russian Federation

    Alexey V. Vasyukov

Authors
  1. Vasily I. Golubev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alexey V. Vasyukov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mikhail Churyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vasily I. Golubev .

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

Golubev, V.I., Vasyukov, A.V., Churyakov, M. (2021). Modeling Wave Responses from Thawed Permafrost Zones. 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_12

Download citation

Publish with us

Policies and ethics

Search

Navigation