The formulation problem of injecting a warm (with a temperature above the initial temperature of the reservoir) gas into a porous formation, which initially filled with methane and its hydrate, is given. A mathematical model of non-isothermal gas filtration is developed with allowance for the phase transition. An algorithm for solving this problem has been constructed, which makes it possible to calculate the main parameters of the thermal effect in the hydrate-saturated reservoir, accounting for dissociation of the gas hydrate.
MakogonY.F., Natural gas hydrates – a promising source of energy, Journal of Natural Gas Science and Engineering2(1) (2010), 49–59. doi: 10.1111/j.1540-4560.1945.tb01990.x.
2.
IstominV.A. and YakushevV.S., Gas Hydrates under Natural Conditions [in Russian], Nedra, Moscow, 1992.
3.
SloanE.D., Natural Gas Clathrate Hydrates, Marcel Dekker, New York, 1998.
4.
MakogonY.F.HolditchS.A. and MakogonT.Y., Natural gas-hydrates – a potential energy source for the 21st Century, Journal of Petroleum Science and Engineering56 (2007), 14–31. doi: 10.1016/j.petrol.2005.10.009.
5.
DuchkovA.D.SokolovaL.S.AyunovD.E. and PermyakovM.E., Assesment of potential of West Siberian permafrost for the carbon dioxide storage, Earth’s Cryosphere13(4) (2009), 62–68.
6.
ShagapovV.S.YumagulovaY.A. and MusakaevN.G., Theoretical study of the limiting regimes of hydrate formation during contact of gas and water, Journal of Applied Mechanics and Technical Physics58(2) (2017), 189–199. doi: 10.1134/S0021894417020018.
7.
ChernovA.A.Pil’nikA.A.ElistratovD.S.MezentsevI.V.MeleshkinA.V.BartashevichM.V. and VlasenkoM.G., New hydrate formation methods in a liquid-gas medium, Scientific Reports7 (2017). doi: 10.1038/srep40809.
8.
Vasil’evV.I.PopovV.V. and TsypkinG.G., Numerical investigation of the decomposition of gas hydrates coexisting with gas in natural reservoirs, Fluid Dynamics41(4) (2006), 599–605. doi: 10.1007/s10697-006-0078-z.
9.
NazmutdinovF.F. and KhabibullinI.L., Mathematical modeling of gas desorption from a gas hydrate, Fluid Dynamics31(5) (1996), 724–730. doi: 10.1007/BF02078225.
10.
MoridisG.J., Numerical studies of gas production from methane hydrates, SPE 75691, presented at the SPE gas technology symposium, Calgary, 2002. doi: 10.2118/75691-MS.
11.
ShagapovV.S.MusakaevN.G.KhabeevN.S. and BaileyS.S., Mathematical modelling of two-phase flow in a vertical well considering paraffin deposits and external heat exchange, International Journal of Heat and Mass Transfer47(4) (2004), 843–851. doi: 10.1016/j.ijheatmasstransfer.2003.06.006.
12.
MusakaevN.G. and BorodinS.L., Mathematical model of the two-phase flow in a vertical well with an electric centrifugal pump located in the permafrost region, Heat and Mass Transfer52(5) (2016), 981–991. doi: 10.1007/s00231-015-1614-3.
13.
KhasanovM.K.MusakaevN.G. and GimaltdinovI.K., Features of the decomposition of gas hydrates with the formation of ice in a porous medium, Journal of Engineering Physics and Thermophysics88(5) (2015), 1052–1061. doi: 10.1007/s10891-015-1284-5.
14.
MusakaevN.G.BorodinS.L. and KhasanovM.K., The mathematical model of the gas hydrate deposit development in permafrost, International Journal of Heat and Mass Transfer118 (2018), 455–461. doi: 10.1016/j.ijheatmasstransfer.2017.10.127.
15.
YangJ.OkwanankeA.TohidiB.ChuvilinE.MaerleK.IstominV.BukhanovB. and CheremisinA., Flue gas injection into gas hydrate reservoirs for methane recovery and carbon dioxide sequestration, Energy Conversion and Management136 (2017), 431–438. doi: 10.1016/j.enconman.2017.01.043.
16.
ShagapovV.S.KhasanovM.K. and MusakaevN.G., Injection of liquid carbon dioxide into a reservoir partially saturated with methane hydrate, Journal of Applied Mechanics and Technical Physics57(6) (2016), 1083–1092. doi: 10.1134/S002189441606016X.
17.
ShagapovV.S.KhasanovM.K.MusakaevN.G. and DuongN.H., Theoretical research of the gas hydrate deposits development using the injection of carbon dioxide, International Journal of Heat and Mass Transfer107 (2017), 347–357. doi: 10.1016/j.ijheatmasstransfer.2016.11.034.
18.
ChernovA.A.ElistratovD.S.MezentsevI.V.MeleshkinA.V. and Pil’nikA.A., Hydrate formation in the cyclic process of refrigerant boiling condensation in a water volume, International Journal of Heat Mass Transfer108 (2017), 1320–1323. doi: 10.1016/j.ijheatmasstransfer.2016.12.035.
19.
MusakaevN.G. and KhasanovM.K., The self-similar solutions of the problem of carbon dioxide injection into the reservoir saturated with methane and its hydrate, AIP Conference Proceedings1770 (2016). doi: 10.1063/1.4964048.
20.
BarenblattG.I.EntovV.M. and RyzshikV.M., Theory of fluid flows through natural rocks, Kluwer Academic Publishers, Dordrecht, Boston, 1990. doi: 10.1007/978-94-015-7899-8.
21.
MusakaevN.G. and BorodinS.L., Numerical research of the gas hydrate dissociation to gas and ice in a reservoir during the gas extraction, MATEC Web of Conferences115 (2017). doi: 10.1051/matecconf/201711505003.
22.
NigmatulinR.I., Dynamics of Multiphase Media, Hemisphere Publ. Corp., New York, 1991.
23.
ShagapovV.S.MusakaevN.G. and KhasanovM.K., Formation of gas hydrates in a porous medium during an injection of cold gas, International Journal of Heat and Mass Transfer84 (2015), 1030–1039. doi: 10.1016/j.ijheatmasstransfer.2015.01.105.
24.
BondarevE.A.ArgunovaK.K. and RozhinI.I., Plane-parallel nonisothermal gas filtration: the role of thermodynamics, Journal of Engineering Thermophysics18(2) (2009), 168–176. doi: 10.1134/S1810232809020088.
25.
ShagapovV.S.UrazovR.R. and MusakaevN.G., Dynamics of formation and dissociation of gas hydrates in pipelines at the various modes of gas transportation, Heat and Mass Transfer48(9) (2012), 1589–1600. doi: 10.1007/s00231-012-1000-3.
26.
ShagapovV.S.ChiglintsevaA.S. and BelovaS.V., On the theory of formation of a gas hydrate in a heat-insulated space compacted with methane, Journal of Engineering Physics and Thermophysics90(5) (2017), 1147–1161. doi: 10.1007/s10891-017-1669-8.
27.
MusakaevN.G. and BorodinS.L., To the question of the interpolation of the phase equilibrium curves for the hydrates of methane and carbon dioxide, MATEC Web of Conferences115 (2017). doi: 10.1051/matecconf/201711505002.
28.
ShagapovV.S.ChiglintsevaA.S. and RusinovA.A., Theoretical modeling of gas extraction from a partially gas-saturated porous gas-hydrate reservoir with respect to thermal interactions with surrounding rocks, Theoretical Foundations of Chemical Engineering50(4) (2016), 449–458. doi: 10.1134/S004057951604045X.
