Mathematical Modeling of a Non-Isothermal Flow in a Porous Medium Considering Gas Hydrate Decomposition: A Review

Stanislav L. Borodin (), Nail G. Musakaev and Denis S. Belskikh
Additional contact information
Stanislav L. Borodin: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia
Nail G. Musakaev: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia
Denis S. Belskikh: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia

Mathematics, 2022, vol. 10, issue 24, 1-17

Abstract: Deposits of natural gas hydrates are some of the most promising sources of hydrocarbons. According to studies, at the current level of natural gas consumption, the traditional reserves will last for about 50 years, and the gas hydrate deposits will last for at least 250 years. Therefore, interest in the study of gas hydrates is associated first of all with gas production from gas hydrate deposits. Additionally, gas hydrates are widely studied for solving practical problems, such as transportation and storage of natural gas, utilization of industrial gases and environmental and technological disasters associated with gas hydrates. When solving practical problems related to gas hydrates, in addition to laboratory and field studies, mathematical modeling is also widely used. This article presents the mathematical models of non-isothermal flow in a porous medium considering the decomposition of gas hydrate. The general forms of the mass conservation equations, Darcy’s law and the energy conservation equation are given. The article also presents derivations of the equations for taking into account the latent heat of phase transitions and non-isothermal filtration parameters for the energy conservation equation. This may be useful for researchers to better understand the construction of the model. For the parameters included in the basic equations, various dependencies are used in different works. In all the articles found, most often there was an emphasis on one or two of the parameters. The main feature of this article is summarizing various dependencies for a large number of parameters. Additionally, graphs of these dependencies are presented so that the reader can independently evaluate the differences between them. The most preferred dependencies for calculations are noted and explained.

Keywords: mathematical modeling; non-isothermal flow; porous medium; gas hydrates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/24/4674/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/24/4674/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:24:p:4674-:d:999001

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().