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Russia Sterlitamak; Tyumen; Ufa
Year
2019
Volume
29
Issue
1
Pages
92-105
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Section Mechanics
Title Numerical solutions of the problem of gas hydrate formation upon injection of gas into a porous medium partly saturated by ice
Author(-s) Khasanov M.K.a, Stolpovsky M.V.b, Musakaev N.G.cd, Yagafarova R.R.a
Affiliations Sterlitamak Branch of the Bashkir State Universitya, Ufa State Petroleum Technological Universityb, Industrial University of Tyumenc, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciencesd
Abstract In the framework of the methods and equations of the mechanics of multiphase media, a mathematical model is constructed for the formation of gas hydrate during the injection of methane into a reservoir of finite length saturated with methane and ice. The problem under study is reduced to the problem of finding two moving boundaries of phase transitions. Based on the method of catching the front in the node of the spatial grid, numerical solutions of the problem are obtained. The distributions along the spatial coordinate of temperature, pressure, and hydrate saturation are found, and the time evolution of the coordinates of the phase transition boundaries is given. Analysis of the results of computational experiments has shown that the formation of methane gas hydrate can occur both at the frontal boundary and in the extended zone. It has been established that part of the gas hydrate formed in the extended region can be further decomposed into gas and water. In this case, the extended region of hydrate formation will degenerate into the frontal surface.
Keywords system of nonlinear differential equations, filtration flow, gas injection, gas hydrates, porous medium
UDC 519.6, 532.546
MSC 93A30
DOI 10.20537/vm190109
Received 17 January 2019
Language Russian
Citation Khasanov M.K., Stolpovsky M.V., Musakaev N.G., Yagafarova R.R. Numerical solutions of the problem of gas hydrate formation upon injection of gas into a porous medium partly saturated by ice, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2019, vol. 29, issue 1, pp. 92-105.
References
  1. Sloan E.D., Koh C.A. Clathrate hydrates of natural gases, Boca Raton: CRC Press, 2007, 752 p.
  2. Makogan Y.F. Hydrates of hydrocarbons, Tulsa: PennWell Publishing Company, 1997, 482 p.
  3. Veluswamy H.P., Kumar A., Seo Y., Lee J.D., Linga P. A review of solidified natural gas (SNG) technology for gas storage via clathrate hydrates, Applied Energy, 2018, vol. 216, pp. 262-285. https://doi.org/10.1016/j.apenergy.2018.02.059
  4. Borchardt L., Casco M.E., Silvestre-Albero J. Methane hydrate in confined spaces: An alternative storage system, ChemPhysChem, 2018, vol. 19, issue 11, pp. 1298-1314. https://doi.org/10.1002/cphc.201701250
  5. Zhang B., Zheng J., Yin Z., Liu C., Wu Q., Liu C., Gao X., Zhang Q. Methane hydrate formation in mixed-size porous media with gas circulation: Effects of sediment properties on gas consumption, hydrate saturation and rate constant, Fuel, 2018, vol. 233, pp. 94-102. https://doi.org/10.1016/j.fuel.2018.06.055
  6. Chen L.-T., Li N., Sun C.-Y., Chen G.-J, Koh C.A., Sun B.-J. Hydrate formation in sediments from free gas using a one-dimensional visual simulator, Fuel, 2017, vol. 197, pp. 298-309. https://doi.org/10.1016/j.fuel.2017.02.034
  7. Duchkov A.D., Sokolova L.S., Ayunov D.E., Permyakov M.E. Assesment of potential of West Siberian permafrost for the carbon dioxide storage, Kriosfera Zemli, 2009, vol. 13, no. 4, pp. 62-68 (in Russian). https://elibrary.ru/item.asp?id=13009708
  8. Bondarev E.A., Rozhin I.I., Popov V.V., Argunova K.K. Assessment of possibility of natural gas hydrates underground storage in permafrost regions, Kriosfera Zemli, 2015, vol. 19, no. 4, pp. 64-74 (in Russian). https://elibrary.ru/item.asp?id=25028090
  9. Tsypkin G.G. Techeniya s fazovymi perekhodami v poristykh sredakh (Flows with phase transitions in porous media), Moscow: Fizmatlit, 2009, 232 p.
  10. Shagapov V.Sh., Musakaev N.G. Dinamika obrazovaniya i razlozheniya gidratov v sistemakh dobychi, transportirovki i khraneniya gaza (Dynamics of formation and decomposition of hydrates in gas production, transportation and storage systems), Moscow: Nauka, 2016, 240 p.
  11. Nigmatulin R.I. Osnovy mekhaniki geterogennykh sred (Fundamentals of mechanics of heterogeneous media), Moscow: Nauka, 1978, 366 p.
  12. Nigmatulin R.I. Dinamika mnogofaznykh sred. Chast' 2 (Dynamics of multiphase media. Part 2), Moscow: Nauka, 1987, 360 p.
  13. Gimaltdinov I.K., Khasanov M.K. Mathematical model of the formation of a gas hydrate on the injection of gas into a stratum partially saturated with ice, Journal of Applied Mathematics and Mechanics, 2016, vol. 80, issue 1, pp. 57-64. https://doi.org/10.1016/j.jappmathmech.2016.05.009
  14. Shagapov V.S., Khasanov M.K., Musakaev N.G., Duong N.H. Theoretical research of the gas hydrate deposits development using the injection of carbon dioxide, International Journal of Heat and Mass Transfer, 2017, vol. 107, pp. 347-357. https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.034
  15. Shagapov V.Sh., Khasanov M.K., Gimaltdinov I.K., Stolpovskii M.V. Numerical modeling of formation of a gas hydrate in a finite-length porous bed purged by a gas, Journal of Applied Mechanics and Technical Physics, 2011, vol. 52, issue 4, pp. 599-607. https://doi.org/10.1134/S0021894411040134
  16. Musakaev N.G., Borodin S.L., Khasanov M.K. The mathematical model of the gas hydrate deposit development in permafrost, International Journal of Heat and Mass Transfer, 2018, vol. 118, pp. 455-461. https://doi.org/10.1016/j.ijheatmasstransfer.2017.10.127
  17. Shagapov V.S., Chiglintseva A.S. On injection of hydrate-forming gas into a gas-saturated snowy agglomerate while transition through the ice melting point, Thermophysics and Aeromechanics, 2018, vol. 25, issue 1, pp. 85-99. https://doi.org/10.1134/S0869864318010080
  18. Chiglintseva A.S. Self-similar solution of the problem of hydrate formation in snow massifs, Computational Continuum Mechanics, 2017, vol. 10, issue 2, pp. 212-224. https://doi.org/10.7242/1999-6691/2017.10.2.18
  19. Barenblatt G.I., Entov V.M., Ryzhik V.M. Dvizhenie zhidkostei i gazov v prirodnykh plastakh (Movement of liquids and gases in natural formations), Moscow: Nedra, 1984, 211 p.
  20. Vasil'ev V.I., Popov V.V., Timofeeva T.S. Vychislitel'nye metody v razrabotke mestorozhdenii nefti i gaza (Computational methods in the development of oil and gas), Novosibirsk: Siberian Branch, Russian Аcademy of Sciences, 2000, 127 p.
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