Geodesic
A fluid dynamics model for a porous media, containing gas hydrate deposits
Matematičeskoe modelirovanie, Tome 25 (2013) no. 10, pp. 32-42.

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We consider a system of mass and energy balances describing the dynamics of fluids in a porous media containing gas and gas hydrate deposits. On the basis of this system we derive an equation for a process of hydrates dissipation which allows to study a "thermodynamic" evolution of parameters characterizing the deposit consisting of gas and gas hydrates. We affirm a defining role of jumps in the specific volumes and internal energy during phase transformations affecting the stability of the deposit evolution with respect to dissipative-thermodynamic processes. According to this theory a number of model problems is formulated and studied in numerical experiments.
Keywords: numerical modeling, fluid dynamics, porous medium, gas hydrates
Mots-clés : phase transformations. 
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     title = {A fluid dynamics model for a porous media, containing gas hydrate deposits},
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O. Ju. Poveschenko; I. V. Gasilova; I. I. Galiguzova; E. Ju. Dorofeeva; O. G. Olkhovskaya; G. I. Kazakevich. A fluid dynamics model for a porous media, containing gas hydrate deposits. Matematičeskoe modelirovanie, Tome 25 (2013) no. 10, pp. 32-42. http://geodesic.mathdoc.fr/item/MM_2013_25_10_a2/

[1] Englezos P., “Clathrate hydrates”, Ind. Eng. Chem. Res., 32 (1993), 1251–1274 | DOI

[2] Byk S. Sh., Makogon Yu. F., Fomina V. I., Gazovye gidraty, Khimiya, M., 1980, 296 pp.

[3] Groisman A. G., Teplofizicheskie svoistva gazovykh gidratov, Nauka, Novosib., 1985, 94 pp.

[4] Istomin V. A., Yakushev V. S., Gazovye gidraty v prirodnykh usloviyakh, Nedra, M., 1992, 236 pp.

[5] Makogon Yu. F., Gidraty prirodnykh gazov, Nedra, M., 1974, 208 pp.

[6] Makogon Yu. F., Natural gas hydrates, PennWell Publishing Co, Tulsa, 1997, 482 pp.

[7] Melnikov V. P., Nesterov A. N., Reshetnikov A. M., “Dissotsiatsiya gazovykh gidratov pri atmosfernom davlenii”, Gazovaya promyshlennost, 2006, Spets. vyp. po problemam gazovykh gidratov, 55–61

[8] Degtyarev B. V., Bukhgalter E. B., Borba s gidratami pri ekspluatatsii gazovykh skvazhin v severnykh raionakh, Nedra, M., 1976, 195 pp.

[9] Gayet P., Dicharry C., Marion G. et al., “Methane Hydrate Equilibrium Conditions in a Porous Medium: From Experiment to Theory”, Proceedings of the Fifth International Conference on Gas Hydrates (June 12–16, 2005, Trondheim, Norway)

[10] Smith D. H., Wilder J. W., Seshadri K., Zhang W., “Equilibrium Pressures and Temperatures for Equilibria Involving sI and sII Hydrate, Liquid Water and free Gas in Porous Media”, Proceedings of the Fourth International Conference on Gas Hydrates (Yokohama, May 19–23, 2002)

[11] Fedoseev S. M., Larionov V. R., “Issledovanie gidratoobrazovaniya v poristoi srede”, Gazovaya promyshlennost, 2006, Spets. vypusk po problemam gazovykh gidratov, 28–29

[12] Tang L. G., Li G., Hao Y. M., Xiao R., Huang C., Fan S. S., Feng Z. P., “Effects of Salt on the Formation of Gas Hydrate in Porous Media”, Proceedings of the Fifth International Conference on Gas Hydrates (June 12–16, 2005, Trondheim, Norway)

[13] Moridis George J., Seol Yongkoo, Kneafsey Timothy J., “Studies of Reaction Kinetics of Methane Hydrate Dissociation in Porous Media”, Proceedings of the Fifth International Conference on Gas Hydrates (June 12–16, 2005, Trondheim, Norway)

[14] Beznosikov A. F., Maslov V. N., “Vliyanie vody, lda, gidratov v kollektore na ego pronitsaemost”, Tr. VNIIEGazproma, 8, 1975, 84–89

[15] Korotaev Yu. P., Skhalyakho A. S., “Vliyanie nalichiya v poristoi srede nepodvizhnoi vodogidratnoi fazy na filtratsiyu gaza”, VNIIEGazprom. Inf. sb. Razrabotka i ekspluatatsiya gazovykh i gazokondensatnykh mestorozhdenii, 11, 1974, 19–23

[16] Korotaev Yu. P., Skhalyakho A. S., “Eksperimentalnaya ustanovka i metodika issledovaniya vliyaniya gidratov v poristoi srede na filtratsiyu gaza”, VNIIEGazprom. Inf. sb. Razrabotka i ekspluatatsiya gazovykh i gazokondensatnykh mestorozhdenii, 10, 1974, 16–19

[17] Nenakhov V. A., “Osobennosti filtratsii vody cherez gidratonasyschennye poristye sredy”, EI, VNIIEGazprom, ser. Geologiya, burenie i razrabotka gazovykh mestorozhdenii, 1982, no. 10, 9–10

[18] Minagawa H., Ohmura R., Takahashi T. et al., “Water Permeability Measurements of Natural Gas Hydrate-Bearing Sediments Obtained from Mallik 5L-38”, From Mallik to the Future, Abstracts of Mallik Int. Symp., Technology Research Center Japan National Oil Corporation, 2003, 33

[19] Syrtlanov V. R., Shagapov V. Sh., “Dissotsiatsiya gidratov v poristoi srede pri depressionnom vozdeistvii”, Prikladnaya mekhanika i tekhnicheskaya fizika, 36:4 (1995), 120–130 | Zbl

[20] Nigmatulin R. I., Shagapov V. Sh., Syrtlanov V. R., “Avtomodelnaya zadacha o razlozhenii gazogidratov v poristoi srede pri dispersii i nagreve”, Prikl. mekhanika i teor. fizika, 39:3 (1998), 111–118 | Zbl

[21] Masuda Y., Konno Y., Kurihara M., Ohuchi H., Kamata Y., Ebinuma T., Narita H., “Validation Study of Numerical Simulator Predicting Gas Production Performance from Sediments Containing Methane Hydrate”, Proceedings of the 5th Int. Conf. on Gas Hydrates (Trondheim, 2005), v. 3, 1076–1085

[22] Masuda Y., Kurihara M., Ohuchi H., Sato T., “A field-scale simulation study on gas productivity of formations containing gas hydrates”, Proceedings of the 4th Int. Conf. on Gas Hydrates (Yokohama, 2002), 40–46

[23] Moridis G. J., Numerical studies of gas production from methane hydrates, SPE 75691, 2002, 14 pp.

[24] Swinkels W. J. A. M., Thermal reservoir simulation model of production from naturally occurring gas hydrate accumulations, SPE 56550, 1999, 13 pp.

[25] Kim H. C., Bishnoi P. R., Heidemann R. A., Rizvi S. S., “Kinetics of methane hydrate decomposition”, Chemical Engineering Science, 42:7 (1987), 1645–1653 | DOI

[26] Masuda Y., Kurihara M., Ohuchi H., Sato T., “A Field-Scale Simulation Study on Gas productivity of formations Containing Gas-Hydrates”, Proceedings of the Fourth Int. Conf. on Gas Hydrates (Yokohama, May 19–23, 2002)

[27] Moridis G. J., Apps J., Pruess K., Mayer L., EOSHYDR: A THOGH2 module for CH4-hydrate release and flow in the surface, Report LBNL-42386, Lawrence Berkeley National Laboratory, Berkeley, CA, 1998

[28] Ginsburg G. D., Solovev V. A., Submarinnye gazovye gidraty, VNIIOkeanologiya, S-Pb., 1994, 200 pp.

[29] Tsypkin G. G., Techeniya s fazovymi perekhodami v poristykh sredakh, Fizmatlit, M., 2009, 232 pp. | Zbl

[30] Basniev K. S., Kochina I. N., Maksimov V. M., Podzemnaya gidromekhanika, Nedra, M., 1993, 416 pp.

[31] Basniev K. S., Nifantov A. V., “Trekhmernaya matematicheskaya model razlozheniya gidratov metanov v poristoi srede pod deistviem tepla”, Nauka i tekhnika v gazovoi promyshlennosti, 2004, no. 1–2, 61–67

[32] Aziz X., Settari E., Matematicheskoe modelirovanie plastovykh sistem, Nedra, M., 1982, 408 pp.