Mathematical modeling of thermal impact on a closed hydrate-saturated reservoir

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy


Release:

2024. Vol. 10. № 1 (37)

Title: 
Mathematical modeling of thermal impact on a closed hydrate-saturated reservoir


For citation: Musakaev, N. G., Borodin, S. L., & Khojimirzaev, Sh. Sh. (2024). Mathematical modeling of thermal impact on a closed hydrate-saturated reservoir. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 10(1), 104–120. https://doi.org/10.21684/2411-7978-2024-10-1-104-120

About the authors:

Nail G. Musakaev, Dr. Sci. (Phys.-Math.), Professor, Professor of the Department of Applied and Technical Physics, School of Natural Science, University of Tyumen, Tyumen, Russia; Chief Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences, Tyumen, Russia; musakaev68@yandex.ru, https://orcid.org/0000-0002-8589-9793

Stanislav L. Borodin, Cand. Sci. (Phys.-Math.), Senior Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; eLibrary AuthorID, ORCID, Web of Science ResearcherID, Scopus Author IDs.l.borodin@yandex.ru; ORCID: 0000-0002-2850-5989

Sherzodbek Sh. Khojimirzaev, Master Student, Department of Applied and Technical Physics, Institute of Physics and Technology, University of Tyumen, Tyumen, Russia; Engineer, Department of Applied and Technical Physics, Institute of Physics and Technology, University of Tyumen, Tyumen, Russia
xojimirzaevsherzod@gmail.com, https://orcid.org/0009-0000-7560-1335

Abstract:

In 2014, a crater was discovered in Yamal near the Bovanenkovo oil and gas condensate field. A number of researchers indicate among the possible causes of its occurrence an avalanche-like release of gas formed during the dissociation of gas hydrates. To carry out numerical experiments for analyzing such phenomena, a mathematical model of gas-liquid flow in a saturated porous medium was constructed taking into account the phase transition “gas + water  gas hydrate”. A two-dimensional axisymmetric formulation of the problem of heating from above through impermeable rocks of a closed hydrate-saturated reservoir, initially containing gas hydrate and gas, was carried out; to take into account external heat exchange, it is assumed that the reservoir is surrounded by rocks impermeable to matter. An algorithm for numerically solving the equations of the mathematical model is presented. A series of calculations was carried out, on the basis of which an analysis was made of the processes occurring in a closed hydrate-saturated reservoir, namely, changes in temperature, phase saturations and pressure. Calculations have shown that during the dissociation of gas hydrate in a closed reservoir, for a certain set of parameters, a significant increase in pressure can occur from 2.7 to 17.4 MPa. It has been revealed that the shallower the depth of a hydrate-saturated reservoir, the smaller its size and the greater the initial hydrate saturation, the greater increase in pressure can be observed, and, accordingly, the greater risk of violating the integrity of a closed impermeable porous medium and the subsequent avalanche-like release of gas from such object.

References:

Barenblatt, G. I., Entov, V. M., & Ryzhik, V. M. (1972). Theory of fluid flows through natural rocks. Nedra. [In Russian]

Basniyev, K. S., Kochina, I. N., & Maksimov, V. M. (1993). Underground hydromechanics. Nedra. [In Russian]

Vargraftik, N. B. (1972). Handbook of physical properties of liquids and gases. Nauka. [In Russian]

Vargraftik, N. B., Filippov, L. P., Tarzimanov, A. A., & Totskii, E. E. (1990). Handbook of thermal conductivity of liquids and gases. Energoatomizdat. [In Russian]

Kolesova, O. (2015). Tundra in holes. Permafrost degradation threatens gas fields. Poisk, (40). Retrieved Feb. 13, 2024, from https://poisknews.ru/magazine/15936/ [In Russian]

Latonov, V. V., Gurevich, G. R. (1969). Calculation of natural gas compressibility coefficient. Gazovaya promyshlennost, (2), 7–9. [In Russian]

Musakaev, N. G., Borodin, S. L., & Belskikh, D. S. (2022). Algorithm for solving the problem of methane hydrate decomposition in a closed hydrate-containing region of a porous medium. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 8(1), 40–57. https://doi.org/10.21684/2411-7978-2022-8-1-40-57 [In Russian]

Nigmatulin, R. I. (1987). Dynamics of multiphase media: in 2 parts. Part 1. Nauka. [In Russian]

Olenchenko, V. V., Sinitsky, A. I., Antonov, E. Yu., Eltsov, I. N., Kushnarenko, O. N., Plotnikov, A. E., Potapov, V. V., & Epov, M. I. (2015). Results of geophysical surveys of the area of “Yamal crater”, the new geological structure. Earth’s Cryosphere, 19(4), 94–106. [In Russian]

Popov, V. V. (2020). A mathematical model of ideal gas hydrate decomposition in a reservoir through decreasing pressure and simultaneous heating. Mathematical notes of NEFU, 26(4), 83–97. https://doi.org/10.25587/SVFU.2019.39.76.008 [In Russian]

Bondarev, E. A., Rozhin, I. I., Popov, V. V., & Argunova, K. K. (2018). Underground storage of natural gas in hydrate state: Primary injection stage. Journal of Engineering Thermophysics, 27(2), 221–231. https://doi.org/10.1134/S181023281802008X

Konno, Yo., Masuda, Yo., Hariguchi, Yo., Kurihara, M., & Ouchi, H. (2010). Key factors for depressurization-induced gas production from oceanic methane hydrates. Energy Fuels, 24(3), 1736–1744. https://doi.org/10.1021/ef901115h

Liang, W., Wang, J., & Li, P. (2022). Gas production analysis for hydrate sediment with compound morphology by a new dynamic permeability model. Applied Energy, 322, Article 119434. https://doi.org/10.1016/j.apenergy.2022.119434

Musakaev, N. G., Borodin, S. L., & Gubaidullin, A. A. (2020). Methodology for the numerical study of the methane hydrate formation during gas injection into a porous medium. Lobachevskii Journal of Mathematics, 41(7), 1272–1277. https://doi.org/10.1134/S199508022007032X

Sakamoto, Ya., Komai, T., Miyazaki, K., Tenma, N., Yamaguchi, T., & Zyvoloski, G. (2010). Laboratory-scale experiments of the methane hydrate dissociation process in a porous media and numerical study for the estimation of permeability in methane hydrate reservoir. Journal of Thermodynamics, 2010, Article 452326. https://doi.org/10.1155/2010/452326

Zhang, P., Liu, B., Hu, L., & Meegoda, J. N. (2022). Coupled multiphase flow and pore compression computational model for extraction of offshore gas hydrates. Computers and Geotechnics, 145, Article 104671. https://doi.org/10.1016/j.compgeo.2022.104671