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## Archive of Issues

Russia Sterlitamak
Year
2020
Volume
30
Issue
1
Pages
125-133
 Section Mechanics Title Mathematical model of gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with methane and water Author(-s) Khasanov M.K.a, Kil'dibaeva S.R.a Affiliations Sterlitamak Branch of the Bashkir State Universitya Abstract This paper presents the results of a theoretical study for the gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with water and methane. Self-similar solutions of a straight-line parallel problem are constructed. The dependences of the temperature and the coordinates of the formation front of sulfur dioxide gas hydrate on the layer permeability are explored. It is established that, as the layer permeability increases, the temperature of the phase transition increases on the surface. As a result, at sufficiently large values of layer permeability, the temperature at the hydrate formation border may exceed the equilibrium decomposition temperature of sulfur dioxide gas hydrate, which will correspond to the appearance of an intermediate region saturated with a mixture of water, sulfur dioxide and its gas hydrate in a state of thermodynamic equilibrium. It is established that at sufficiently high values of injection pressure and permeability, the gas hydrate formation of sulfur dioxide will occur in the extended region. Keywords mathematical model, self-similar solution, porous area, filtration, gas hydrates, sulfur dioxide UDC 544.344, 532.546 MSC 93A30 DOI 10.35634/vm200109 Received 2 September 2019 Language Russian Citation Khasanov M.K., Kil'dibaeva S.R. Mathematical model of gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with methane and water, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2020, vol. 30, issue 1, pp. 125-133. References Xu T., Apps J.A., Pruess K., Yamamoto H. Numerical modeling of injection and mineral trapping of $CO_2$ with $H_2S$ and $SO_2$ in a sandstone formation, Chemical Geology, 2007, vol. 242, issues 3-4, pp. 319-346. https://doi.org/10.1016/j.chemgeo.2007.03.022 Anshits A.G., Kirik N.P., Shibistov B.V. Possibilities of $SO_2$ storage in geological strata of permafrost terrain, Advances in the Geological Storage of Carbon Dioxide, Dordrecht: Springer, 2006, pp. 93-102. https://doi.org/10.1007/1-4020-4471-2_09 Li Q., Li X., Wei N., Fang Z. Possibilities and potentials of geological co-storage $CO_2$ and $SO_2$ in China, Energy Procedia, 2011, vol. 4, pp. 6015-6020. https://doi.org/10.1016/j.egypro.2011.02.605 Sloan E.D., Koh C.A. Clathrate hydrates of natural gases, Boca Raton: CRC Press, 2007. https://www.crcpress.com/Clathrate-Hydrates-of-Natural-Gases/Jr-Koh-Koh/p/book/9780849390784 Wright J.F., Cote M.M., Dallimore S.R. Overview of regional opportunities for geological sequestration of $CO_2$ as gas hydrate in Canada, Proceedings of the 6th International Conference on Gas Hydrates (ICGH 2008), Vancouver, 2008. https://open.library.ubc.ca/cIRcle/collections/59278/items/1.0041110 Chuvilin E.M., Guryeva O.M. The role of hydrate formation processes in industrial $CO_2$ sequestration in permafrost area, Proceedings of the 7th International Conference on Gas Hydrates (ICGH 2011), Edinburgh, 2011. https://www.pet.hw.ac.uk/icgh7/papers/icgh2011Final00220.pdf Chuvilin E.M., Guryeva O.M. Carbon dioxide gas hydrates accumulation in freezing and frozen sediments, Proceedings of the 6th International Conference on Gas Hydrates (ICGH 2008), Vancouver, 2008. https://open.library.ubc.ca/cIRcle/collections/59278/items/1.0041050 Khasanov M.K. Regimes of hydrate formation in the process of injection of carbon dioxide into a porous medium saturated with methane and water, Journal of Engineering Physics and Thermophysics, 2018, vol. 91, issue 4, pp. 864-872. https://doi.org/10.1007/s10891-018-1810-3 Gimaltdinov I.K., Kildibaeva S.R. Model of a submerged jet accounting for two limiting schemes of hydrate formation, Thermophysics and Aeromechanics, 2018, vol. 25, issue 1, pp. 75-83. https://doi.org/10.1134/S0869864318010079 Khasanov M.K., Stolpovsky M.V., Gimaltdinov I.K. Mathematical model for carbon dioxide injection into porous medium saturated with methane and gas hydrate, International Journal of Heat and Mass Transfer, 2018, vol. 127, pp. 21-28. https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.028 Full text