Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection
Increasing the efficiency of natural gas storage in geological formations is possible by transferring gas from a free state to a gas hydrate state, since gas hydrates have a number of unique properties. For example, 1 m 3 of methane hydrate contains 164 m 3 of gas under normal conditions. It is poss...
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ftdoajarticles:oai:doaj.org/article:3f7f3e37bcb244abab665420a8b1a121 2023-05-15T17:12:09+02:00 Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection Marat K. Khasanov Svetlana R. Kildibaeva Maxim V. Stolpovsky Nail G. Musakaev 2022-11-01T00:00:00Z https://doi.org/10.3390/math10214054 https://doaj.org/article/3f7f3e37bcb244abab665420a8b1a121 EN eng MDPI AG https://www.mdpi.com/2227-7390/10/21/4054 https://doaj.org/toc/2227-7390 doi:10.3390/math10214054 2227-7390 https://doaj.org/article/3f7f3e37bcb244abab665420a8b1a121 Mathematics, Vol 10, Iss 4054, p 4054 (2022) mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration Mathematics QA1-939 article 2022 ftdoajarticles https://doi.org/10.3390/math10214054 2022-12-30T20:23:22Z Increasing the efficiency of natural gas storage in geological formations is possible by transferring gas from a free state to a gas hydrate state, since gas hydrates have a number of unique properties. For example, 1 m 3 of methane hydrate contains 164 m 3 of gas under normal conditions. It is possible to store a sufficiently large amount of gas in a small volume at a relatively low pressure. To study the regularities of the process of formation of underground gas hydrate gas storage, this article presents a mathematical model of the process of methane injection into a natural reservoir saturated with methane and water, accompanied by the formation of gas hydrate. Unlike previous works, the constructed mathematical model additionally takes into account a number of factors: the filtration flow of water, the real gas properties, the Joule–Thomson effects and adiabatic compression. The process of gas hydrate formation is considered as a non-equilibrium phase transition. Numerical solutions of the problem are constructed that describe the distributions of parameters (temperature, pressure, phase saturations) in a reservoir. Dependences are obtained that reveal the regularities of the process of non-equilibrium formation of gas hydrate in a natural reservoir during gas injection. The influence of gas injection pressure and temperature, as well as reservoir porosity and permeability, on the distributions of pressure, temperature, water saturation and hydrate saturation in the reservoir, as well as on the dynamics of changes in these parameters and the mass of gas hydrate formed in the reservoir over time, are analyzed. Article in Journal/Newspaper Methane hydrate Directory of Open Access Journals: DOAJ Articles Mathematics 10 21 4054 |
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mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration Mathematics QA1-939 |
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mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration Mathematics QA1-939 Marat K. Khasanov Svetlana R. Kildibaeva Maxim V. Stolpovsky Nail G. Musakaev Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection |
topic_facet |
mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration Mathematics QA1-939 |
description |
Increasing the efficiency of natural gas storage in geological formations is possible by transferring gas from a free state to a gas hydrate state, since gas hydrates have a number of unique properties. For example, 1 m 3 of methane hydrate contains 164 m 3 of gas under normal conditions. It is possible to store a sufficiently large amount of gas in a small volume at a relatively low pressure. To study the regularities of the process of formation of underground gas hydrate gas storage, this article presents a mathematical model of the process of methane injection into a natural reservoir saturated with methane and water, accompanied by the formation of gas hydrate. Unlike previous works, the constructed mathematical model additionally takes into account a number of factors: the filtration flow of water, the real gas properties, the Joule–Thomson effects and adiabatic compression. The process of gas hydrate formation is considered as a non-equilibrium phase transition. Numerical solutions of the problem are constructed that describe the distributions of parameters (temperature, pressure, phase saturations) in a reservoir. Dependences are obtained that reveal the regularities of the process of non-equilibrium formation of gas hydrate in a natural reservoir during gas injection. The influence of gas injection pressure and temperature, as well as reservoir porosity and permeability, on the distributions of pressure, temperature, water saturation and hydrate saturation in the reservoir, as well as on the dynamics of changes in these parameters and the mass of gas hydrate formed in the reservoir over time, are analyzed. |
format |
Article in Journal/Newspaper |
author |
Marat K. Khasanov Svetlana R. Kildibaeva Maxim V. Stolpovsky Nail G. Musakaev |
author_facet |
Marat K. Khasanov Svetlana R. Kildibaeva Maxim V. Stolpovsky Nail G. Musakaev |
author_sort |
Marat K. Khasanov |
title |
Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection |
title_short |
Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection |
title_full |
Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection |
title_fullStr |
Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection |
title_full_unstemmed |
Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection |
title_sort |
mathematical model of the process of non-equilibrium hydrate formation in a porous reservoir during gas injection |
publisher |
MDPI AG |
publishDate |
2022 |
url |
https://doi.org/10.3390/math10214054 https://doaj.org/article/3f7f3e37bcb244abab665420a8b1a121 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_source |
Mathematics, Vol 10, Iss 4054, p 4054 (2022) |
op_relation |
https://www.mdpi.com/2227-7390/10/21/4054 https://doaj.org/toc/2227-7390 doi:10.3390/math10214054 2227-7390 https://doaj.org/article/3f7f3e37bcb244abab665420a8b1a121 |
op_doi |
https://doi.org/10.3390/math10214054 |
container_title |
Mathematics |
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10 |
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21 |
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4054 |
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1766068944858251264 |