The problem of gas hydrate formation in a closed volume saturated with gas and snow

V. Sh. Shagapov   ; A. S. Chiglintseva   ; S. V. Belova

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 46 (2017), pp. 86-101

Résumé

The problem of gas hydrate formation in a closed volume initially saturated with snow and gas is considered. The scheme accepted for the kinetics of hydrate formation supposes that the gas diffuses through the hydrate layer between the gas and ice (or water) phases to the ice (or water)–hydrate interface. This scheme also allows one to describe the process of hydrate formation by introducing only one parameter, namely, the reduced diffusion coefficient which can take different values depending on the quality and state of the ice, as well as "purity" of the hydrateforming gas. In this connection, the obtained solutions demonstrate that the distributions of main parameters depend on the dimensionless time and do not depend on the reduced diffusion coefficient. It is shown that at the various stages of the ice state (at negative or positive temperatures and melting point of ice), the hydrate formation can occur depending on the initial snow saturation.

Détail

Keywords: hydrate formation, closed volume, hydrate saturation, snow saturation, icy particles, reduced coefficient of gas diffusion, «gas+snow» system.

Bibliographie

[1] Makogon Yu. F., Hydrates of natural gases, Nedra, M., 1974

[2] Istomin V. A., Yakushev V. S., Gas hydrates in the natural environment, Nedra, M., 1992

[3] Sloan E. D., Koh C. A., Clathrate hydrates of natural gases, 3rd ed., CRC Press, Taylor Francis group, 2008, 119 pp.

[4] Istomin V. A., Nesterov A. N., Chuvilin E. M., Kvon V. G., Reshetnikov A. M., “Decomposition of hydrates of different gases at temperatures below 273 K”, Gazokhimiya, 2008, no. 3, 30–44

[5] Chuvilin E. M., Kozlova E. V., “Research of formation of frozen gas hydrate-saturated sediment”, Earth Cryosphere, 2005, no. 1, 73–80

[6] Liu W., Chen Y., Zhu Y., Song Y., Li Y., Li Q., Wang L., “Effects of Different Mining Methods on the Strength Behavior of Gas Hydrate-Bearing Sediments”, The 6th International Conference on Applied Energy — ICAE2014, Energy Procedia, 61, 2014, 547–551 | DOI

[7] Nesterov A. N., Kinetics and mechanisms of gas hydrate formation in the presence of surface-active substances, Chem. Doct. Diss., Tyumen', 2006

[8] Byk S. Sh., Makogon Yu. F., Fomina V. I., Gas hydrates, Khimiya, M., 1980

[9] Staykova D. K., Kuhs W. F., Salamatin A. N., Hansen T., “Formation of Porous Gas Hydrate from Ice Powders: Diffraction Experiments and Maltistage Model”, J. Phys. Chem. B, 107:37 (2003), 10299–10311 | DOI

[10] Kuhs W. F., Salamatin A. N., “Formation of gas hydrates in the ice powders: kinetics, growth stages, and polydispersity effects”, XI all-Russian Congress on Fundamental Problems of Theoretical and Applied Mechanics, Proceedings (Kazan, 2015), 2222–2224

[11] Kuhs W. F., Staykova D. K., Salamatin A. N., “Formation of Methane Hydrate from Polydisperse Ice Powders”, J. Phys. Chem. B, 110:26 (2006), 13283–13295 | DOI

[12] McGinnis D. F., Greinert J., Artemov Y., Beaubien S., Fate of rising methane bubbles in stratified waters: How much methane reaches the atmosphere?, J. Geophysical Research, 111 (2006), 382–386 | DOI

[13] Rehder G., Brewer P. W., Peltzer E. T., Friederich G., “Enhanced lifetime of methane bubble streams within the deep ocean”, Geophysical Research Letters, 29:15 (2002), 21–24 | DOI

[14] Shagapov V. Sh., Chiglintseva A. S., Rusinov A. A., “On mechanisms of the hydrate shell growth on the surface of supernatant gas bubbles”, Tomsk State University Journal of Mathematics and Mechanics, 2015, no. 3(35), 73–86 | DOI

[15] Xiaoping Wang, A. J. Schultz, Yuval Halpern, “Kinetics of Methane Hydrate Formation from Polycrystalline Deuterated Ice”, J. Phys. Chem. A, 106:32 (2002), 7304–7309 | DOI

[16] Vlasov V. A., “Phenomenological diffusion theory of formation of gas hydrate from ice powder”, Theor. Found. Chem. Eng., 46:6 (2012), 576–582 | DOI

[17] Liu W., Li Q., Song Y., Zhang L., Yang M., Wang L., Chen Y., “Diffusion theory of formation of gas hydrate from ice powder without melting”, Energy Procedia, 61 (2014), 513–522 | DOI

[18] Khasanov M. K., “Investigation of regimes of gas hydrate formation in a porous medium, partially saturated with ice”, Thermophysics and Aeromechanics, 22:2 (2015), 245–255 | DOI

[19] Nigmatullin R. I., Dynamics of multiphase media, Nauka, M., 1987

[20] Shagapov V. Sh., Tazetdinov B. I., Nurislamov O. R., “A contribution to the theory of gas hydrate particle formation and decomposition in the process of their ascent in water”, Tomsk State University Journal of Mathematics and Mechanics, 2013, no. 6(26), 106–113

[21] Rafikova G. R., “Gas hydrate formation in a closed volume filled with porous water-saturated medium”, Bulletin of Kemerovo State University, 2:2(62) (2015), 122–127 | Zbl