Some Remarks on the Phase Transformation of Gas Hydrates in Porous Sediments at Negative Celsius Temperatures
https://doi.org/10.59887/2073-6673.2023.16(4)-8
Abstract
The article presents a solution to the problem of the phase transition of methane hydrate — methane-gas + ice in porous hydrate-containing sediments at a negative Celsius temperature in the medium. The numerical solution of the resulting system of differential equations of piezoand thermal conductivity makes it possible to effectively simulate the change in pressure and temperature in both time and space in a medium of any dimension during its heating or decompression. In this case, the medium is not subdivided into parts with varying phase states of methane hydrate. Instead, its sediment substance is considered as a single entity, with its physical properties changing in magnitude when the hydrates undergo phase transformation. As an example, the problem of the thermobaric regime of a heating spherical cavern containing ice, hydrate and free methane has been solved. This cavern is situated within a continuous gas-tight underground ice. The solution shows that although the temperature of the sphere surface increases considerably, the decomposition of hydrate only occurs in an extremely thin shell located directly between the surface and the displaced inward phase boundary.
Over time, the stability conditions of hydrates establish anew but at a higher gas pressure and medium temperature. This phenomenon of severely limited decomposition of the hydrate in a closed gas-insulated space, nevertheless leading to an increase in pressure in it, is, apparently, the basic process that provides the “self-preservation” of methane hydrates.
Keywords
About the Author
A. Ya. GolmshtokRussian Federation
36 Nakhimovsky Prosp., Moscow 117997
References
1. Kvenvolden K.A. Gas hydrates — geological perspectives and global change. Reviews of Geophysics. 1993, 31(2), 173–187. doi:10.1029/93RG00268
2. Ginsburg G.D., Soloviev V.A. Submarine gas hydrates. St. Petersburg, VNIIOkeangeologia, 1994. 199 p. (in Russian).
3. Mazurenko L.L., Soloviev V.A. Worldwide distribution of deep-water fluid venting and potential occurrences of gas hydrate accumulations. Geo-Marine Letters. 2003, 23/3–4, 162–176. doi:10.1007/S00367-003-0146-X
4. Soloviev V.A. Global assessment of the gas amount in submarine accumulations of gas hydrates. Russian Geology and Geophysics. 2002, 43 (7), 648–661 (in Russian).
5. Yakushev V.S., Istomin V.A. Gas-hydrates self-preservation effect. Physics and chemistry of ice. Supporo, Hokkaido Univ. Press, 1992, 112–118.
6. Dyadin Yu.A. Supramolecular chemistry: clathrate compounds. Soros Educational Journal. 1998, 2, 79–88 (in Russian).
7. Istomin V.A., Nesterov A.N., Chuvilin E.M., Kwon V.G., Reshetnikov A.M. Dissociation of hydrates of various gases at temperatures below 273 K. Gasokhimiya. 2008, 1, 30–44 (in Russian).
8. Sloan E.D., Jr., Koh C. Clathrate Hydrates of Natural Gases. Third edition. N.Y.: CRC Press, 2007. 758 p. doi:10.1201/9781420008494
9. Sultan N., Foucher J.P., Cochonat P., Tonnerre T., Bourillet J.F., Ondreas H., Cauquil E., Grauls D. Dynamics of gas hydrate: case of the Congo continental slope. Marine Geology. 2004, 206, 1–18. doi:10.1016/j.margeo.2004.03.005
10. Handa Y. (1988b). A calorimetric study of naturally occuring gas hydrates. Industrial & Engineering Chemistry Research. 1988, 27, 5, 872–874.
11. Nigmatulin R.I., Shagapov V. Sh., Nasyrova L.A. “Heat impact” in the porous medium saturated by gas hydrates. Doklady RAN. 1999, 366, 3, 337–340 (in Russian).
12. Kozeny J. Ueber kapillare Leitung des Wassers in Boden. Sitzungsber Akad. Wiss. Wien. 1927, 136(2a), 271–306.
13. Carman P. Fluid flow through a granular bed. Transactions of the Institution of Chemical Engineers. 1937, 15, 150–167.
14. Allen P.A., Allen J.R. Basin analysis. Principles and applications. Oxford, Blackwell Scientific Publications, 2005, 549 p.
15. Landau L.D., Lifshits E.M. Statistical Physics. Moscow–Leningrad, GITTL, 1940, 223 p. (in Russian).
16. Samarskii A.A., Moiseyenko B.D. An economic continuous calculation scheme for the stefan multidimensional problem.
17. USSR Computational Mathematics and Mathematical Physics. 1965, 5, 5, 43–58. doi:10.1016/0041-5553(65)90004-2
18. Golmshtok A. Ya. Multichannel seismic profiling, gas hydrates and the numerical simulation of the mud volcanoes formation conditions in Lake Baikal. Fundamental and Applied Hydrophysics. 2016, 9, 3, 18–31 (in Russian).
19. COMSOL Multiphysics®3.5. 2008. License No:1034054
Review
For citations:
Golmshtok A.Ya. Some Remarks on the Phase Transformation of Gas Hydrates in Porous Sediments at Negative Celsius Temperatures. Fundamental and Applied Hydrophysics. 2023;16(4):94–106. (In Russ.) https://doi.org/10.59887/2073-6673.2023.16(4)-8