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The Use of Splitting with Respect to Physical Processes for Modeling the Dissociation of Gas Hydrates

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Abstract

The work is devoted to modeling the phase transformations of gas hydrate inclusions in porous media. Studying these problems makes it possible to elaborate various technologies for the development of gas hydrate deposits. A two-block mathematical model of the dissociation of gas hydrates in a porous medium based on splitting with respect to physical processes is proposed and studied. An absolutely stable difference scheme is constructed and implemented in the spatially onedimensional case to numerically analyze the model. The water saturation, thawing, and the thermodynamic parameters (pressure and temperature) are calculated based on this difference scheme. An analysis of the data obtained by the calculations has confirmed the possibility of solving a number of typical problems of gas hydrate fluid dynamics using the above approach, including the problem of the complex dynamics of water and hydrate saturation of a formation.

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References

  1. V. A. Istomin and V. S. Yakushev, Gas Hydrates under Natural Conditions (Nedra, Moscow, 1992) [in Russian].

    Google Scholar 

  2. G. D. Ginsburg and V. A. Solov’ev, Submarine Gas Hydrates (VNIIOkeanologiya, St. Petersburg, 1994) [in Russian].

    Google Scholar 

  3. P. Englezos, “Clathrate hydrates,” Ind. Eng. Chem. Res. 32, 1251–1274 (1993).

    Article  Google Scholar 

  4. V. T. Gudzenko, A. A. Varenichev, and M. P. Gromova, “Gas hydrates. informational-analytical review,” Geol., Geofiz. Razrab. Neftyan. Gazov. Mestorozhd., No. 5, 39–68 (2016).

    Google Scholar 

  5. K. S. Basniev, I. N. Kochina, and V. M. Maksimov, Underground Hydromechanics (Nedra, Moscow, 1993) [in Russian].

    Google Scholar 

  6. O. Yu. Poveshchenko, I. V. Gasilova, I. I. Galiguzova, E. Yu. Dorofeeva, O. G. Ol’khovskaya, and G. I. Kazakevich, “A fluid dynamics model for a porous media, containing gas hydrate deposits,” Mat. Model. 25 (10), 32–42 (2013).

    MathSciNet  MATH  Google Scholar 

  7. G. I. Kazakevich, L. V. Klochkova, Yu. A. Poveshchenko, and V. F. Tishkin, “Mathematical research of system of equations of processes in the porous environment,” Zh. Srednevolzh. Mat. Ob-va 13 (1), 7–11 (2011).

    Google Scholar 

  8. V. A. Gasilov, I. V. Gasilova, L. V. Klochkova, Yu. A. Poveshchenko, and V. F. Tishkin, “Difference schemes based on the support operator method for fluids dynamics problems in a collector containing gas hydrates,” Comput. Math. Math. Phys. 55, 1310–1328 (2015).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia

    P. I. Rahimly & O. R. Rahimly

  2. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    Yu. A. Poveshchenko, V. O. Podryga & I. V. Gasilova

  3. National Research Nuclear University MEPhI, Moscow, Russia

    Yu. A. Poveshchenko

  4. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia

    G. I. Kazakevich

Authors
  1. P. I. Rahimly
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  2. Yu. A. Poveshchenko
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  3. O. R. Rahimly
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  4. V. O. Podryga
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  5. G. I. Kazakevich
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  6. I. V. Gasilova
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Corresponding author

Correspondence to V. O. Podryga.

Additional information

Original Russian Text © P.I. Rahimly, Yu.A. Poveshchenko, O.R. Rahimly, V.O. Podryga, G.I. Kazakevich, I.V. Gasilova, 2017, published in Matematicheskoe Modelirovanie, 2017, Vol. 29, No. 7, pp. 133–144.

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Rahimly, P.I., Poveshchenko, Y.A., Rahimly, O.R. et al. The Use of Splitting with Respect to Physical Processes for Modeling the Dissociation of Gas Hydrates. Math Models Comput Simul 10, 69–78 (2018). https://doi.org/10.1134/S2070048218010118

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  • DOI: https://doi.org/10.1134/S2070048218010118

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