Completely Conservative Difference Schemes for Simultaneous Calculations of Thawed Hydrated Zone and Piezoconductive Medium with Gas Hydrate Inclusions

  • Parvin Rahimly
  • Yury Poveshchenko
  • Viktoriia PodrygaEmail author
  • Orkhan Rahimly
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)


In the paper the thermodynamically equilibrium joint discrete model of a two-component three-phase (water, methane, hydrate) filtration fluid dynamics and two-phase processes in a melted zone with absence of gas hydrates is considered, for which the splitting by physical processes is performed. In the numerical calculations the direct unsplit using of the system being studied is difficult. Thus the splitting by physical processes is important for the purposes of determining the dynamics of variables and constructing the implicit difference scheme required for calculations of filtering processes with large steps in time is difficult.


Gas hydrates Filtration Melted zone Support operators Completely conservative difference schemes 



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


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Parvin Rahimly
    • 1
  • Yury Poveshchenko
    • 2
    • 3
  • Viktoriia Podryga
    • 2
    • 4
    Email author
  • Orkhan Rahimly
    • 1
  1. 1.Moscow Institute of Physics and Technology (State University)DolgoprudnyRussia
  2. 2.Keldysh Institute of Applied Mathematics of RASMoscowRussia
  3. 3.National Research Nuclear University MEPhIMoscowRussia
  4. 4.Moscow Automobile and Road Construction State Technical UniversityMoscowRussia

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