Geodesic
The problem of cold gas injection into the reservoir saturated with snow and gas, accompanied by hydrate formation process
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2016), pp. 98-106 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, the problem of cold gas injection into the reservoir initially saturated with snow and gas with simultaneous formation of hydrate is considered. The mathematical model assumes gas injection in the equilibrium state. The self-similar solutions describing the distribution of the basic parameters (pressure fields, temperature, hydrate saturation, snow and gas saturation) in the reservoir are constructed. It is found that, depending on the initial state of the system «snow+gas» and the intensity of gas injection, different zones in the filtering area, such as «gas+hydrate», «gas+hydrate+snow», and «gas+snow», can be generated. The existence condition of maximum heating of «gas+snow+hydrate» system which provides a complete transition of snow in the hydration state is obtained. It is shown that initial state of the reservoir and parameters of gas injection define the conditions of full or partial hydrate formation in a volume region and at the front surface. It is revealed that the hydrate formation is more intensive and the length of the heated area decreases with increasing initial snow saturation in the reservoir.
Keywords: gas hydrate, cold gas, snow, equilibrium state, self-similar solution, full and partial hydrate formation, volume region, heat.
Mots-clés : injection, front surface 
@article{VTGU_2016_3_a9,
     author = {V. Sh. Shagapov and A. S. Chiglintseva and A. A. Rusinov},
     title = {The problem of cold gas injection into the reservoir saturated with snow and gas, accompanied by hydrate formation process},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {98--106},
     year = {2016},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2016_3_a9/}
}
TY  - JOUR
AU  - V. Sh. Shagapov
AU  - A. S. Chiglintseva
AU  - A. A. Rusinov
TI  - The problem of cold gas injection into the reservoir saturated with snow and gas, accompanied by hydrate formation process
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2016
SP  - 98
EP  - 106
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VTGU_2016_3_a9/
LA  - ru
ID  - VTGU_2016_3_a9
ER  - 
%0 Journal Article
%A V. Sh. Shagapov
%A A. S. Chiglintseva
%A A. A. Rusinov
%T The problem of cold gas injection into the reservoir saturated with snow and gas, accompanied by hydrate formation process
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2016
%P 98-106
%N 3
%U http://geodesic.mathdoc.fr/item/VTGU_2016_3_a9/
%G ru
%F VTGU_2016_3_a9
V. Sh. Shagapov; A. S. Chiglintseva; A. A. Rusinov. The problem of cold gas injection into the reservoir saturated with snow and gas, accompanied by hydrate formation process. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2016), pp. 98-106. http://geodesic.mathdoc.fr/item/VTGU_2016_3_a9/

[1] Jadhawar P., Mohammadi A. H., Yang J., Tohidi B., “Subsurface carbon dioxide storage through clathrate hydrate formation”, Advances in the Geological Storage of Carbon Dioxide, Springer, Netherlands, 2006, 111–126 | DOI

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

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

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

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

[6] 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”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2013, no. 6(26), 106–113

[7] Shagapov V. Sh., Chiglintseva A. S., Rusinov A. A., “On mechanisms of the hydrate shell growth on the surface of supernatant gas bubbles”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2015, no. 3(35), 73–86 | DOI

[8] Chuvilin E. M., Kozlova E. V., “Research of formation of frozen gas hydrate-saturated sediment”, Kriosfera Zemli, 2005, no. 1, 73–80 | MR

[9] Chuvilin E. M., Kozlova E. V., Makhonina N. A., Yakushev V. S., “Experimental investigation of gas hydrate and ice formation in methane saturated sediments”, Permafrost, eds. M. Phillips, S. M. Springman, L. U. Arenson, 2003, 145–150

[10] Chuvilin E. M., Guryeva O. M., “Experimental investigation of $\mathrm{CO}_2$ gas hydrate formation in porous media of frozen and freezing sediments”, Kriosfera Zemli, 13:3 (2009), 70–79 | MR

[11] Shagapov V. Sh., Khasanov M. K., Musakaev N. G., “Formation of a gas hydrate due to injection of a cold gas into a porous reservoir partly saturated by water”, Journal of Applied Mechanics and Technical Physics, 49:3 (2008), 462–472 | DOI | Zbl

[12] Khasanov M. K., Gimaltdinov I. K., Stolpovsky M. V., “Specific features of the formation of gas hydrates during the injection of a cold gas into a porous medium saturated with a gas and water”, Theoretical Foundations of Chemical Engineering, 44:4 (2010), 424–431 | DOI

[13] Shagapov V. S., Khasanov M. K., Stolpovskii M. V., Gimaltdinov I. K., “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, 52:4 (2011), 599–607 | DOI | Zbl

[14] 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

[15] Shagapov V. Sh., Khasanov M. K., Gimaltdinov I. K., Stolpovsky M. V., “The features of gas hydrate dissociation in porous media at warm gas injection”, Thermophysics and Aeromechanics, 20:3 (2013), 339–346 | DOI

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

[17] Nurislamov O. R., Shagapov V. Sh., “Gas injection into a moist porous medium with the formation of a gas hydrate”, Journal of Applied Mathematics and Mechanics, 2009, no. 5, 581–591 | DOI | MR | Zbl

[18] Shagapov V. Sh., Nurislamov O. R., Khabibullina A. R., “Gas extraction from a bed containing hydrates by means of depression influence”, Vestnik Tomskogo gosudarstvennogo universiteta, 2012, no. 4(20), 119–130

[19] Barenblatt G. I., Entov V. M., Ryzhik V. M., Motion of liquids and gases in natural beds, Nedra, M., 1982 | MR