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Mathematical model of the dissociation of gas hydrates coexisting with ice in natural reservoirs

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Abstract

The dissociation of gas hydrate coexisting with ice in a low-temperature natural reservoir is investigated. A mathematical model of the process consisting of a generalization of the Stefan problem and containing two unknown moving phase transition boundaries — the hydrate dissociation and ice melting fronts — is constructed. It is shown that in high-permeability reservoirs the velocity of the dissociation surface is higher than that of the ice melting surface. As the permeability decreases, the fronts change places. The problem is solved in the self-similar approximation.

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References

  1. E. D. Sloan (Jr.) and F. A. Fleyfel, “A molecular mechanism for gas hydrate nucleation from ice,”AIChE J.,37, 1281 (1991).

    Google Scholar 

  2. V. A. Kamath and S. P. Godbole, “Evaluation of hot-brine stimulation technique for gas production from natural gas hydrates,”J. P. T.,39, 1379 (1987).

    Google Scholar 

  3. É. D. Ershov, Yu. P. Lebedenko, E. M. Chuvilin,et al., “Conditions of existence of gas hydrates in the cryolithozone,”Dokl. Akad. Nauk SSSR,321, 788 (1991).

    Google Scholar 

  4. N. V. Cherskii and É. A. Bondarev, “Thermal method of exploiting gas-hydrate deposits,”Dokl. Akad. Nauk SSSR,203, 550 (1972).

    Google Scholar 

  5. M. S. Selim and E. D. Sloan, “Heat and mass transfer during the dissociation of hydrates in porous media,”AIChE J.,35, 1049 (1989).

    Google Scholar 

  6. N. N. Verigin, I. L. Khabibullin, and G. A. Khalikov, “Linear problem of gas hydrate decomposition in a porous medium”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 174 (1980).

    Google Scholar 

  7. É. Bondarev, A. M. Maksimov, and G. G. Tsypkin, “Mathematical modeling of gas hydrate dissociation,”Dokl. Akad. Nauk SSSR,308, 557 (1989).

    Google Scholar 

  8. A. M. Maksimov and G. G. Tsypkin, “Dissociation of gas hydrates coexisting with gas in natural reservoirs,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 84 (1990).

    Google Scholar 

  9. L. I. Sedov,Continuum Mechanics, Vol. 1 [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  10. R. I. Nigmatulin,Dynamics of Multiphase Media, Pt. 2 [in Russian], Nauka, Moscow (1987).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    G. G. Tsypkin

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  1. G. G. Tsypkin
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.2, pp. 84–92, March–April, 1993.

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Tsypkin, G.G. Mathematical model of the dissociation of gas hydrates coexisting with ice in natural reservoirs. Fluid Dyn 28, 223–229 (1993). https://doi.org/10.1007/BF01051211

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  • DOI: https://doi.org/10.1007/BF01051211

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