P. I. Rahimli, Yu. A. Poveshchenko, O. R. Rahimly, V. O. Podryga, G. I. Kazakevich, I. V. Gasilova, “The use of splitting on physical processes for the modeling of gas hydrates dissociation”, Mat. Model., 29:7 (2017), 133–144; Math. Models Comput. Simul., 10:1 (2018), 69

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Matematicheskoe modelirovanie, 2017, Volume 29, Number 7, Pages 133–144 (Mi mm3872)

This article is cited in 23 scientific papers (total in 23 papers)

The use of splitting on physical processes for the modeling of gas hydrates dissociation

P. I. Rahimli^a, Yu. A. Poveshchenko^bc, O. R. Rahimly^a, V. O. Podryga^b, G. I. Kazakevich^d, I. V. Gasilova^b

^a Moscow Institute of Physics and Technology (State University)
^b Keldysh Institute of Applied Mathematics of RAS
^c National Research Nuclear University MEPhI
^d P.P. Shirshov Institute of Oceanology of RAS

Full-text PDF (503 kB) Citations (23)

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Abstract: The work is devoted to modeling the phase transformations of gas hydrate inclusions in porous media. The study of these problems makes it possible to develop various technologies for the development of gas hydrate deposits. A two-block mathematical model of dissociation of gas hydrates in a porous medium is proposed and investigated. The model is based on splitting into physical processes. For the numerical analysis of the model an absolutely stable difference scheme is constructed and realized in the spatially one-dimensional case. On the basis of the constructed difference scheme, calculations were made of water saturation, thawing, and thermodynamic parameters (pressure and temperature). The analysis of the data obtained in calculations confirmed that with the help of the presented approach it is possible to solve the typical problems of gas hydrate fluid dynamics, to study the complex dynamics of water and hydrate saturation of the formation.

Keywords: gas hydrates, filtering, mathematical modeling.

Funding agency	Grant number
Russian Science Foundation	16-11-00100
Russian Foundation for Basic Research	16-29-15081_офи_м 16-29-15095_офи_м

Received: 10.04.2017

English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 1, Pages 69–78
DOI: https://doi.org/10.1134/S2070048218010118

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: P. I. Rahimli, Yu. A. Poveshchenko, O. R. Rahimly, V. O. Podryga, G. I. Kazakevich, I. V. Gasilova, “The use of splitting on physical processes for the modeling of gas hydrates dissociation”, Mat. Model., 29:7 (2017), 133–144; Math. Models Comput. Simul., 10:1 (2018), 69–78

Citation in format AMSBIB

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\paper The use of splitting on physical processes for the modeling of gas hydrates dissociation

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\jour Math. Models Comput. Simul.

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Linking options:

https://www.mathnet.ru/eng/mm3872

https://www.mathnet.ru/eng/mm/v29/i7/p133

This publication is cited in the following 23 articles:

A. E. Bakir, Yu. A. Poveschenko, V. O. Podryga, P. I. Ragimli, “Prostranstvennaya filtratsionnaya model gidratosoderzhaschikh sred s neklassicheskim zakonom dvizheniya”, Preprinty IPM im. M. V. Keldysha, 2024, 010, 28 pp.
A. E. Bakeer, Yu. A. Poveshchenko, V. O. Podryga, P. I. Rahimly, “About one spatial filtration model with non-classical law of motion in hydrate-containing environment”, Math. Models Comput. Simul., 16:4 (2024), 572–585
Ahmed K. Abu-Nab, Alexander V. Koldoba, Elena V. Koldoba, Yury A. Poveshchenko, Viktoriia O. Podryga, Parvin I. Rahimly, Ahmed E. Bakeer, “On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study”, Mathematics, 11:2 (2023), 341
Ahmed K. Abu-Nab, Alexander V. Koldoba, Elena V. Koldoba, Yury A. Poveshchenko, Viktoriia O. Podryga, Parvin I. Rahimly, Ahmed E. Bakeer, 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES, 2872, 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES, 2023, 060020
Yu. O. Bobreneva, “Modeling of piezoconductivity process of two-phase fluid system in fractured-porous reservoir”, Math. Models Comput. Simul., 14:4 (2022), 645–653
V. Sh. Shagapov, M. R. Davletshina, “On the development of a hydrate formation by thermal impact”, High Temperature, 60:1 (2022), 118–125
Ravil Uzyanbaev, Yury Poveshchenko, Viktoriia Podryga, Sergey Polyakov, Yuliya Bobreneva, Irek Gubaydullin, Lecture Notes in Computer Science, 13708, Supercomputing, 2022, 33
Ravil Uzyanbaev, Yuliya Bobreneva, Yury Poveshchenko, Viktoriia Podryga, Sergey Polyakov, Communications in Computer and Information Science, 1618, Parallel Computational Technologies, 2022, 276
Natalia Alekseeva, Viktoriia Podryga, Parvin Rahimly, Richard Coffin, Ingo Pecher, “Mathematical Modeling of Gas Hydrates Dissociation in Porous Media with Water-Ice Phase Transformations Using Differential Constrains”, Mathematics, 10:19 (2022), 3470
Yu. O. Bobreneva, P. I. Ragimli, V. O. Podryga, S. S. Bazhitova, A. E. Bakir, A. K. Abu-Nab, “Ob odnom metode chislennogo modelirovaniya dvukhfaznoi zhidkoi sistemy v kollektore treschinovato-porovogo tipa”, Preprinty IPM im. M. V. Keldysha, 2021, 038, 20 pp.
Yu O Bobreneva, P I Rahimly, Yu A Poveshchenko, V O Podryga, L V Enikeeva, “Numerical modeling of multiphase mass transfer processes in fractured-porous reservoirs”, J. Phys.: Conf. Ser., 2131:2 (2021), 022002
Yu O Bobreneva, P I Rahimly, Yu A Poveshchenko, V O Podryga, L V Enikeeva, “On one method of numerical modeling of piezoconductive processes of a two-phase fluid system in a fractured-porous reservoir”, J. Phys.: Conf. Ser., 2131:2 (2021), 022001
A. V. Vasyukov, I. B. Petrov, K. A. Beklemysheva, M. V. Yakobovskii, Yu. A. Poveschenko, V. A. Gasilov, D. S. Boikov, “Model i raschet napryazhenno-deformirovannogo sostoyaniya gidratosoderzhaschei sredy pri ee chastichnom rasteplenii”, Preprinty IPM im. M. V. Keldysha, 2020, 099, 23 pp.
Yu. Poveshchenko, P. Rahimly, O. Rahimly, V. Podryga, I. Gasilova, “A numerical approach to study the thermal influence on gas hydrates by physical process splitting”, Int. J. Numer. Anal. Model., 17:3 (2020), 404–433
V. A. Gasilov, Yu. A. Poveschenko, V. O. Podryga, P. I. Rahimli, “Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions”, Comput. Math. Math. Phys., 60:1 (2020), 134–143
V. Sh. Shagapov, A. S. Chiglintseva, O. A. Shepelkevich, “Numerical simulation of hydrate formation at injection cold gas in the snow massif”, Math. Models Comput. Simul., 11:5 (2019), 690–703
V. Sh. Shagapov, M. R. Davletshina, “On the theory of hydrate formation decomposition under thermal influence”, Proceedings of the Mavlyutov Institute of Mechanics, 14:4 (2019), 243–252
Parvin Rahimly, Yury Poveshchenko, Viktoriia Podryga, Orkhan Rahimly, Lecture Notes in Computer Science, 11386, Finite Difference Methods. Theory and Applications, 2019, 427
P. I. Ragimli, Yu. A. Poveschenko, V. O. Podryga, O. R. Ragimli, S. B. Popov, “Modelirovanie protsessov sovmestnoi filtratsii v taloi zone i pezoprovodnoi srede s gazogidratnymi vklyucheniyami”, Preprinty IPM im. M. V. Keldysha, 2018, 040, 32 pp.
P. I. Rahimly, Y. A. Poveshchenko, V. O. Podryga, O. R. Rahimly, I. V. Ritus, “Problems of joint filtration in melted zone and piezoconductive medium with gas hydrate inclusions”, Math. Models Comput. Simul., 11:1 (2019), 133–146

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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