Abstract
The problem on hydrate formation in a snow massif initially saturated with gas with the injection of the same gas is solved. The constructed mathematical model is based on the equations of continuum mechanics. For the axisymmetric formulation with an elongated region of the phase transitions, self-similar solutions are constructed that describe the temperature and pressure fields, as well as the saturation of snow, hydrate, and gas in the massif. The numerical solution of the problem is implemented with the shooting method. It is shown that, depending on the initial thermobaric state of the gas–ice system and on the intensity of gas injection determined by its mass flow rate, three characteristic zones can be distinguished in the filtration area that are different by their structure and elongation: (i) the near zone, in which the snow has completely passed into the hydrate, and, therefore, only the hydrate and gas phases are present; (ii) the intermediate zone, in which the hydrate is formed from gas and ice, and (iii) the distant zone, which is saturated with the gas and ice phases. The effect the mass flow rate of the injected gas, the initial snow saturation, and the initial temperature of the massif have on the elongation of the hydrate volume formation zone under negative temperature conditions and on the temperature and hydration saturation at the boundary separating the near and intermediate zones is studied.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. A. Istomin and V. S. Yakushev, Gas Hydrates in Natural Conditions (Nedra, Moscow, 1992) [in Russian].
A. V. Egorov, A. N. Rozhkov, P. R. Vogt, and K. Krejn, “Gas hydrates directly on the seabed. Natural phenomenon and theoretical justification,” Preprint (Inst. Mech. Probl. RAS, Moscow, 2012).
O. M. Khlystov, A. V. Khabuev, O. V. Belousov, M. A. Grachev, S. Nishio, H. Sugiyama, and A. Y. Manakov, “The experience of map** of baikal subsurface gas hydrates and gas recovery,” Russ. Geol. Geophys. 55, 1122–1129 (2014).
YU. F. Makogon and R. Yu. Omel’chenko, “Messoyakha - gas hydrate deposit, role and significance,” Geol. Polezn. Iskopaem. Mirov. Okeana, No. 3, 5–19 (2012).
M. G. Ivanov, G. M. Chudakov, I. A. Tereshchenko, A. V. Polyakov, M. S. Stepanov, and N. D. Hanyuchenko, “Problems of industrial development of natural metanogidrat,” Nauch. Tr. KubGTU, No. 2, 296–309 (2017).
K. Yamamoto, T. Kanno, X. X. Wang, M. Tamaki, T. Fujii, S. S. Chee, X. W. Wang, V. Pimenov, and V. Shako, “Thermal responses of a gas hydrate-bearing sediment to a depressurization operation,” R. Soc. Chem. 7, 5554–5577 (2017).
E. A. Bondarev, I. I. Rozhin, V. V. Popov, and K. K. Argunova, “Assessment of possibility of natural gas hydrates underground storage in permafrost regions,” Kriosfera Zemli 19 (4), 64–74 (2015).
S. Nakai, “Development of natural gas hydrate (NGH) supply chain,” in Proceedings of the 25th World Gas Conference, Kuala Lumpur, Malaysia, June 4–8, 2012, pp. 3040–3050.
M. E. Semenov, E. YU. Shic, and A. F. Safronov, “Investigation of synthesis features of methane and ethane hydrates under free convection conditions,” Gazokhimiya, No. 1, 18–23 (2011).
V. Sh. Shagapov, O. A. Shepelkevich, and A. V. Yalaev, “The initial stage of hydrate formation in liquid volume on impurity particles upon contact of gas and water,” Theor. Found. Chem. Eng. 51, 448–457 (2017).
F. F. Nazmutdinov and I. L. Habibullin, “Mathematical modeling of gas desorption from gas hydrate,” Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 118–125 (1996).
V. Sh. Shagapov, A. S. Chiglintseva, and V. R. Syrtlanov, “Possibility of gas washout from a gas-hydrate massif by circulation of warm water,” J. Appl. Mech. Tech. Phys. 50, 628–637 (2009).
V. Sh. Shagapov, N. G. Musakaev, and M. K. Khasanov, “Forcing gas into a porous tank saturated with gas and water,” Teplofiz. Aehromekh. 12, 645–656 (2005).
V. Sh. Shagapov, G. R. Rafikova, and M. K. Khasanov, “On the theory of formation of gas hydrate in partially water-saturated porous medium when injecting methane,” High Temp. 54, 858–866 (2016).
V. Sh. Shagapov, A. S. Chiglintseva, and S. V. Belova, “The problem of gas hydrate formation in a closed volume saturated with gas and snow,” Vestn. Tomsk. Univ., Mat. Mekh. 46, 86–101 (2017).
V. Sh. Shagapov, A. S. Chiglintseva, and S. V. Belova, “Mathematical modelling of injection gas hydrate formation into the massif of snow saturated the same gas,” Tr. Inst. Mekh. Mavlyutova UNTs RAN 11, 233–239 (2016).
M. K. Khasanov, “Investigation of regimes of gas hydrate formation in a porous medium, partially saturated with ice,” Thermophys. Aeromech. 22, 245–255 (2015).
M. K. Khasanov and M. V. Stolpovskij, “Numerical simulation of hydrate formation in a finite extent porous medium partially saturated with ice,” Nauch. -Tekh. Vestn. Povolzh’ya, No. 6, 34–37 (2015).
V. Sh. Shagapov and O. R. Nurislamov, “Some features of the synthesis of gas hydrates by gas injection into a moist porous medium,” Theor. Found. Chem. Eng. 44, 260–271 (2010).
V. Sh. Shagapov and A. S. Chiglintseva, “On injection of hydrate-forming gas into a gas-saturated snowy agglomerate while transition through the ice melting point,” Thermophys. Aeromech. 25, 89–104 (2018).
A. S. Chiglintseva, “Self-similar solution of the problem of hydrate formation in snow massifs,” Vychisl. Mekh. Sploshn. Sred 10, 212–224 (2017).
A. S. Chiglintseva and V. Sh. Shagapov, “About of the injection of hydrate-forming gas into a layer of snow saturated with the same gas,” Tr. Inst. Mekh. Mavlyutova UNTs RAN 12, 219–226 (2017).
V. Sh. Shagapov, A. S. Chiglintseva, and A. A. Rusinov, “Mathematical modeling of hydrate formation in a reservoir saturated with snow by cold gas injection,” Vychisl. Mekh. Splosh. Sred 9, 173–181 (2016).
I. K. Gimaltdinov and M. K. Khasanov, “Mathematical model of the formation of a gas hydrate on the injection of gas into a stratum partially saturated with ice,” J. Appl. Math. Mech. 80, 57–64 (2016).
V. Sh. Shagapov, M. K. Khasanov, and N. G. Musakaev, “Formation of a gas hydrate due to injection of a cold gas into a porous reservoir partly saturated by water,” J. Appl. Mech. Tech. Phys. 49, 462–472 (2008).
V. Sh. Shagapov and N. G. Musakaev, Dynamics of Formation and Decomposition of Hydrates in Gas Production, Transportation and Storage Systems (Nauka, Moscow, 2016) [in Russian].
G. G. Tsypkin, Flows with Phase Transitions in Porous Media (Fizmatlit, Moscow, 2009) [in Russian].
R. I. Nigmatulin, Dynamics of Multiphase Media (Nauka, Moscow, 1987; CRC, Boca Raton, FL. 1990), Part 2.
P. I. Rahimly, Yu. A. Poveshchenko, O. R. Rahimly, V. O. Podryga, G. I. Kazakevich, and I. V. Gasilova, “The use of splitting with respect to physical processes for modeling the dissociation of gas hydrates,” Math. Model. Comput. Simul. 10, 69–78 (2018).
V. I. Darishcheva, V. I. Kokoreva, A. M. Polishchuk, O. V. Chubanova, and S. E. Yakush, “Modeling of filtration processes during the cyclic operation of an oil production well,” Math. Model. Comput. Simul. 8, 725–733 (2016).
V. Sh. Shagapov, M. N. Galimzyanov, and M. N. Zapivahina, “Simulation of ice formation during injection of water in porous media saturated with ice and gas,” Vestn. Bashkir. Univ. 18 (1), 22–26 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by E. Oborin
Rights and permissions
About this article
Cite this article
Shagapov, V.S., Chiglintseva, A.S. & Shepelkevich, O.A. Numerical Simulation of Hydrate Formation on Injection of Cold Gas in a Snow Massif. Math Models Comput Simul 11, 690–703 (2019). https://doi.org/10.1134/S207004821905017X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S207004821905017X