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 m3 of methane hydrate contains 164 m3 of gas under normal conditions. It is possib...
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ftmdpi:oai:mdpi.com:/2227-7390/10/21/4054/ 2023-08-20T04:07:58+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 2022-11-01 application/pdf https://doi.org/10.3390/math10214054 EN eng Multidisciplinary Digital Publishing Institute Engineering Mathematics https://dx.doi.org/10.3390/math10214054 https://creativecommons.org/licenses/by/4.0/ Mathematics; Volume 10; Issue 21; Pages: 4054 mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration Text 2022 ftmdpi https://doi.org/10.3390/math10214054 2023-08-01T07:08:15Z 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 m3 of methane hydrate contains 164 m3 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. Text Methane hydrate MDPI Open Access Publishing Mathematics 10 21 4054 |
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mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration |
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mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration 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 |
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mathematical model multiphase flows gas hydrate non-equilibrium phase transition filtration |
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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 m3 of methane hydrate contains 164 m3 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 |
Text |
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 |
Multidisciplinary Digital Publishing Institute |
publishDate |
2022 |
url |
https://doi.org/10.3390/math10214054 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_source |
Mathematics; Volume 10; Issue 21; Pages: 4054 |
op_relation |
Engineering Mathematics https://dx.doi.org/10.3390/math10214054 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
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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1774719969525760000 |