Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures

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


Release:

2020. Vol. 6. № 2 (22)

Title: 
Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures


For citation: Borodin S. L., Belskikh D. S. 2020. “Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 6, no. 2 (22), pp. 63-80. DOI: 10.21684/2411-7978-2020-6-2-63-80

About the authors:

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

Denis S. Belskikh, Postgraduate Student, University of Tyumen; bedeser@yandex.ru; ORCID: 0000-0002-0813-5765

Abstract:

Gas hydrates, which contain the largest amount of methane on our planet, are a promising source of natural gas after the depletion of traditional gas fields, the reserves of which are estimated to last about 50 years. Therefore, it is necessary to study the methods for extracting gas from gas hydrates in order to select the best of them and make reasoned technological and engineering decisions in the future.

One of these methods is the replacement of methane in its hydrate with carbon dioxide. This work studies the construction of a mathematical model to observe this method. The following process is considered in this article: on one side of a porous reservoir, initially saturated with methane and its hydrate, carbon dioxide is injected; on the opposite side of this reservoir, methane and/or carbon dioxide are extracted. In this case, both the decomposition of methane hydrate and the formation of carbon dioxide hydrate can occur.

This problem is stated in a one-dimensional linear formulation for the case of negative temperatures and gaseous carbon dioxide, which means that methane, carbon dioxide, ice, methane, and carbon dioxide hydrates may be present in the reservoir. A mathematical model is built based on the following: the laws of conservation of masses of methane, carbon dioxide, and ice; Darcy’s law for the gas phase motion; equation of state of real gas; energy equation taking into account thermal conductivity, convection, adiabatic cooling, the Joule — Thomson effect, and the release or absorption of latent heat of hydrate formation. The modelling assumes that phase transitions occur in an equilibrium mode and that methane can be completely replaced by carbon dioxide. The results of numerical experiments are presented.


References:

  1. Basniev K. S., Kochina I. N., Maksimov V. M. 1993. Subsurface Hydromechanics. Moscow: Nedra. 416 pp. [In Russian]

  2. Borodin S. L., Belskikh D. S. 2018. “The current state of researches related to the extraction of methane from a porous medium containing hydrate”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 4, no. 4, pp. 131-147. DOI: 10.21684/2411-7978-2018-4-4-131-147 [In Russian]

  3. BP Statistical Review of World Energy. 2019. Accessed on 13 March 2020. https://www.bp.com/content/dam/bp/business-sites/en/global/corporate/pdfs/energy-economics/statistic...

  4. Chun-Gang Xu, Jing Cai, Yi-Song Yu, Ke-Feng Yan, Xiao-Sen Li. 2018. “Effect of pressure on methane recovery from natural gas hydrates by methane-carbon dioxide replacement”. Applied Energy, vol. 217, pp. 527-539. DOI: 10.1016/j.apenergy.2018.02.109

  5. Dong-Yeun Koh, Hyery Kang, Jong-Won Lee, Youngjune Park, Se-Joon Kim, Jaehyoung Lee, Joo Yong Lee, Huen Lee. 2016. “Energy-efficient natural gas hydrate production using gas exchange”. Applied Energy, vol. 162, pp. 114-130. DOI: 10.1016/j.apenergy.2015.10.082

  6. International Energy Agency. 2013. Resources to Reserves 2013 — Oil, Gas and Coal Technologies for the Energy Markets of the Future. DOI: 10.1787/9789264090705-en

  7. Kanayama R., Tyrtyshova D. O. 2016. “The Japan experience in the development of gas hydrates and its potential use for commercial production in the Russian Federation”. In: Transformation of World Energy: Market Mechanisms and State Policy, pp. 100-105. Moscow: IMEMO RAN. [In Russian]

  8. Latonov V. V., Gurevich G. R. 1969. “Calculation of the compressibility factor of natural gas”. Gas Industry Journal, no. 2, pp. 7-9. [In Russian]

  9. Musakaev N. G., Borodin S. L. 2017. “To the question of the interpolation of the phase equilibrium curves for the hydrates of methane and carbon dioxide”. MATEC Web of Conferences, vol. 115, art. 05002. DOI: 10.1051/matecconf/201711505002

  10. Presentation from Press Conference “Gazprom’s Financial and Economic Policy” (Saint Petersburg, 28 June 2018). Accessed 17 March 2020. http://www.gazprom.ru/f/posts/77/684826/presentation-press-conf-2018-06-28-ru.pdf [In Russian]

  11. Vargaftik N. B. 1972. Thermophysical Properties of Gases and Liquids: Handbook. Moscow: Nauka. 720 pp. [In Russian]

  12. Vargaftik N. B., Filippov L. P., Tarzimanov A. A., Tockij E. E. 1990. Thermal Conductivity of Liquids and Gases: Handbook. Moscow: Energoatomizdat. 352 pp. [In Russian]

  13. Zheng Rong Chong, She Hern Bryan Yang, Ponnivalavan Babu, Praveen Linga, Xiao-Sen Li. 2016. “Review of natural gas hydrates as an energy resource: Prospects and challenges”. Applied Energy, vol. 162, pp. 1633-1652. DOI: 10.1016/j.apenergy.2014.12.061