Advertisement

Simulation of Influence of Special Regimes of Horizontal Flare Systems on Permafrost

  • M. Yu. FilimonovEmail author
  • N. A. Vaganova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)

Abstract

Permafrost takes place approximately 35 million km\(^2\) of the globe land. In Russia, it is most widely distributed in Eastern Siberia and Baikal region with oil and gas fields. Exploitation of the fields promotes the permafrost melting because of different technical devices affect on the dynamics of thawing. The permafrost thawing due to various human-generated impacts will be accompanied by subsidence of the earth’s surface around engineering facilities and development of dangerous permafrost geological processes, called thermokarst, which can lead to accidents in oil and gas fields with great damage to the environment. Therefore, an important problem for computer simulation is prediction of dynamics of the permafrost boundaries changes under long-term thermal impact of technical systems operating. In the paper a model and an algorithm for solving the problem of propagation of thermal fields in frozen ground from horizontal flare systems operated under a special regime are proposed. The maximum number of climatic and technical parameters is taken into account in the simulations. The calculations allow to choose an optimal thermal insulation of the ground surface under the flare system.

Keywords

Mathematical modelling Heat transfer Permafrost 

Notes

Acknowledgments

The work is supported by Russian Foundation for Basic Research 16–01–00401.

References

  1. 1.
    Vaganova, N., Filimonov, M.Yu.: Simulation of freezing and thawing of soil in Arctic regions. In: 2nd International Conference on Sustainable, ICSC 2017, IOP Conference Series: Earth and Environmental Science, vol. 72, p. 012005. IOP Publishing, UK (2017).  https://doi.org/10.1088/1755-1315/72/1/012005CrossRefGoogle Scholar
  2. 2.
    Filimonov, M.Y., Vaganova, N.A.: Simulation of technogenic and climatic influences in permafrost for northern oil fields exploitation. In: Dimov, I., Faragó, I., Vulkov, L. (eds.) FDM 2014. LNCS, vol. 9045, pp. 185–192. Springer, Cham (2015).  https://doi.org/10.1007/978-3-319-20239-6_18CrossRefGoogle Scholar
  3. 3.
    Filimonov, M.Yu., Vaganova, N.: Permafrost thawing from different technical systems in Arctic regions. In: 2nd International Conference on Sustainable, ICSC 2017, IOP Conference Series: Earth and Environmental Science, vol. 72, p. 012006. IOP Publishing, UK (2017).  https://doi.org/10.1088/1755-1315/72/1/012006CrossRefGoogle Scholar
  4. 4.
    Vaganova, N.A.: Simulation of long-term influence from technical systems on permafrost with various short-scale and hourly operation modes in Arctic region. In: Venkov, G., Pasheva, V., Popivanov, N. (eds.) 43rd International Conference Applications of Mathematics in Engineering and Economics, AMEE 2017, AIP Conference Proceedings, vol. 1970, p. 020006. American Institute of Physics, USA (2017).  https://doi.org/10.1063/1.5013943
  5. 5.
    Filimonov, M.Yu., Vaganova, N.A.: Flare systems exploitation and impact on permafrost. In: 2nd All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2017. Journal of Physics: Conference Series, vol. 899, p. 092004. IOP Publishing, UK (2017).  https://doi.org/10.1088/1742-6596/899/9/092004Google Scholar
  6. 6.
    Vaganova, N., Filimonov, M.Yu.: Different shapes of constructions and their effects on permafrost. In: Pasheva, V., Venkov, G., Popivanov, N. (eds.) 42nd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2016, AIP Conference Proceedings, vol. 1789, p. 020019. American Institute of Physics, USA (2016).  https://doi.org/10.1063/1.4968440
  7. 7.
    Muskett, R.R.: L-Band InSAR penetration depth experiment, North Slope Alaska. J. Geosci. Environ. Prot. 5(3), 14–30 (2017)Google Scholar
  8. 8.
    Nelson, F.E., Anisimov, O.A., Shiklomanov, N.I.: Subsidence risk from thawing permafrost. Nature 410, 889–890 (2001)CrossRefGoogle Scholar
  9. 9.
    Filimonov, M.Yu., Vaganova, N.A.: Simulation of thermal stabilization of soil around various technical systems operating in permafrost. Appl. Math. Sci. 7(144), 7151–7160 (2013)CrossRefGoogle Scholar
  10. 10.
    Vaganova, N.A., Filimonov, M.Yu.: Computer simulation of nonstationary thermal fields in design and operation of northern oil and gas fields. In: Pasheva, V., Popivanov, N., Venkov, G. (eds.) 41st International Conference Applications of Mathematics in Engineering and Economics, AMEE 2015, AIP Conference Proceedings, vol. 1690, p. 020016. American Institute of Physics, USA (2015).  https://doi.org/10.1063/1.4936694
  11. 11.
    Samarsky, A.A., Vabishchevich, P.N.: Computational Heat Transfer, Volume 2, The Finite Difference Methodology. Wiley, Chichester (1995)Google Scholar
  12. 12.
    Filimonov, M.Yu., Vaganova N.: Numerical simulation of technogenic and climatic influence on permafrost. In: Advances in Environmental Research, vol. 54, Chap. 5. Nova Science Publishers, New York (2017)Google Scholar
  13. 13.
    Bashurov, V.V., Vaganova, N.A., Kropotov, A.I., Pchelintsev, M.V., Skorkin, N.A., Filimonov, M.Yu.: Nonlinear model of a pipeline in a gravity field with an ideal fluid moving through it. J. Appl. Mech. Tech. Phys. 53(1), 43–48 (2012)CrossRefGoogle Scholar
  14. 14.
    Filimonov, M.Yu.: Application of special coordinated series to the solution of nonlinear partial differential equations in bounded domain. Differ. Equ. 36(11), 1685–1691 (2000)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Filimonov, M.Yu.: Representation of solutions of initial-boundary value problems for nonlinear partial differential equations by the method of special series. Differ. Equ. 39(8), 1159–1166 (2003)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Filimonov, M.Yu.: Application of method of special series for solution of nonlinear partial differential equations. In: Venkov, G., Pasheva, V. (eds.) 40st International Conference Applications of Mathematics in Engineering and Economics, AMEE 2014, AIP Conference Proceedings, vol. 1631, pp. 218–223. American Institute of Physics, USA (2014).  https://doi.org/10.1063/1.4902479
  17. 17.
    Filimonov, M.Yu.: On the justification of the applicability of the Fourier method to the solution of nonlinear partial differential equations. Russ. J. Numer. Anal. Math. Model. 11(1), 27–39 (1996)Google Scholar
  18. 18.
    Patankar, S.V.: Numerical Heat Transfer and Fluid Flow. Hemisphere, New York (1980)zbMATHGoogle Scholar
  19. 19.
    Samarskii, A.A., Moiseyenko, B.D.: An economic continuous calculation scheme for the Stefan multidimensional problem. USSR Comput. Math. Math. Phys. 5(5), 43–58 (1965)CrossRefGoogle Scholar
  20. 20.
    Vaganova, N.A.: Existence of a solution of an initial-boundary value difference problem for a linear heat equation with a nonlinear boundary condition. Proc. Steklov Inst. Math. 261(1), 260–271 (2008)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Ural Federal UniversityYekaterinburgRussia
  2. 2.Krasovskii Institute of Mathematics and MechanicsYekaterinburgRussia

Personalised recommendations