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, mehanika, kompʹûternye nauki, Tome 30 (2020) no. 1, pp. 125-133 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, gas hydrates, sulfur dioxide.
Mots-clés : filtration
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     author = {M. K. Khasanov and S. R. Kil'dibaeva},
     title = {Mathematical model of gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with methane and water},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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M. K. Khasanov; S. R. Kil'dibaeva. 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, mehanika, kompʹûternye nauki, Tome 30 (2020) no. 1, pp. 125-133. http://geodesic.mathdoc.fr/item/VUU_2020_30_1_a8/

[1] 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, 242:3–4 (2007), 319–346 | DOI

[2] 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, Springer, Dordrecht, 2006, 93–102 | DOI

[3] Li Q., Li X., Wei N., Fang Z., “Possibilities and potentials of geological co-storage $CO_2$ and $SO_2$ in China”, Energy Procedia, 4 (2011), 6015–6020 | DOI

[4] Sloan E. D., Koh C. A., Clathrate hydrates of natural gases, CRC Press, Boca Raton, 2007, 752 pp. https://www.crcpress.com/Clathrate-Hydrates-of-Natural-Gases/Jr-Koh-Koh/p/book/9780849390784

[5] 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

[6] 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

[7] 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

[8] 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, 91:4 (2018), 864–872 | DOI | MR

[9] Gimaltdinov I. K., Kildibaeva S. R., “Model of a submerged jet accounting for two limiting schemes of hydrate formation”, Thermophysics and Aeromechanics, 25:1 (2018), 75–83 | DOI | MR

[10] 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, 127 (2018), 21–28 | DOI