Some Problems of Modeling the Impact on Gas Hydrates on the Basis of Splitting by Physical Processes

  • Parvin Rahimly
  • Viktoriia PodrygaEmail author
  • Yury Poveshchenko
  • Orkhan Rahimly
  • Yulia Sharova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11958)


In this work we consider an equilibrium joint model of a two-component three-phase (water, gas, hydrate) filtration fluid dynamics and two-phase processes in the thawed zone with no gas hydrates, for which splitting by physical processes is performed. Algorithms for the joint calculation of hydrate-containing and thawed states of a fluid-dynamic medium are described. Examples of calculations of technogenic depressive effects near the wells on the dynamics of spatial distributions of gas hydrates’ thawing and the formation of thawed two-phase zones are given.


Gas hydrates Filtration Thawed zone Splitting by physical processes 



The work was supported by the Russian Science Foundation (project No 17-71-20118).


  1. 1.
    Poveshchenko, Y.A., Kazakevich, G.I.: Mathematical modeling of gas hydrate processes. Math. Mach. Syst. 3, 105–110 (2011). [In Russian]Google Scholar
  2. 2.
    Rahimly, P.I., Poveshchenko, Yu.A., Podryga, V.O., Rahimly, O.R., Popov, S.B.: Modeling the processes of joint filtration in melted zone and piezoconductive medium with gas hydrate inclusions. Preprinty IPM im. M.V. Keldysha [KIAM Preprints], 40 Moscow (2018). (In Russian)
  3. 3.
    Landau, L.D., Lifshitz, E.M.: Course of Theoretical Physics. Theory of Elasticity, vol. 7. Pergamon Press Ltd., Oxford (1970)Google Scholar
  4. 4.
    Rahimly, P., Poveshchenko, Y., Podryga, V., Rahimly, O.: Completely conservative difference schemes for simultaneous calculations of thawed hydrated zone and piezoconductive medium with gas hydrate inclusions. In: Dimov, I., Faragó, I., Vulkov, L. (eds.) FDM 2018. LNCS, vol. 11386, pp. 427–434. Springer, Cham (2019). Scholar
  5. 5.
    Poveshchenko, Y.A., Podryga, V.O., Rahimly, P.I.: About one approach to free volumetric approximation of a piezoconductive medium with gas hydrate inclusions. Math. Montisnigri 40, 68–89 (2017). [In Russian]MathSciNetzbMATHGoogle Scholar
  6. 6.
    Bogatyrenko, R.S.: Features of the development and operation of gas hydrate deposits (on the example of the Messoyakhsky deposit). Dissertatsiia, Moscow (1979). (In Russian)Google Scholar
  7. 7.
    Karslow, G., Eger, D.: Thermal Conductivity of Solid. Nauka, Moscow (1964). (In Russian)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Parvin Rahimly
    • 1
  • Viktoriia Podryga
    • 1
    • 2
    Email author
  • Yury Poveshchenko
    • 1
  • Orkhan Rahimly
    • 1
  • Yulia Sharova
    • 1
  1. 1.Keldysh Institute of Applied Mathematics of RASMoscowRussia
  2. 2.Moscow Automobile and Road Construction State Technical UniversityMoscowRussia

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