Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures
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 hydrat...
Published in: | Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy |
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Издательство Тюменского государственного университета
2020
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Online Access: | https://elib.utmn.ru/jspui/handle/ru-tsu/7708 https://doi.org/10.21684/2411-7978-2020-6-2-63-80 |
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University of Tyumen: UTMN Repository |
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topic |
mathematical modeling gas hydrates methane carbon dioxide porous medium gas filtration replacement equilibrium phase transition математическое моделирование газовые гидраты метан углекислый газ пористая среда фильтрация газа замещение равновесный фазовый переход |
spellingShingle |
mathematical modeling gas hydrates methane carbon dioxide porous medium gas filtration replacement equilibrium phase transition математическое моделирование газовые гидраты метан углекислый газ пористая среда фильтрация газа замещение равновесный фазовый переход Borodin, S. L. Belskikh, D. S. Бородин, С. Л. Бельских, Д. С. Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
topic_facet |
mathematical modeling gas hydrates methane carbon dioxide porous medium gas filtration replacement equilibrium phase transition математическое моделирование газовые гидраты метан углекислый газ пористая среда фильтрация газа замещение равновесный фазовый переход |
description |
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. Amathematical 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. Газовые гидраты, в которых содержится наибольшее количество метана на нашей планете, являются перспективным источником природного газа, особенно после истощения традиционных газовых месторождений, запасы в которых оцениваются примерно на 50 лет. Поэтому уже сегодня необходимо проводить ... |
format |
Article in Journal/Newspaper |
author |
Borodin, S. L. Belskikh, D. S. Бородин, С. Л. Бельских, Д. С. |
author_facet |
Borodin, S. L. Belskikh, D. S. Бородин, С. Л. Бельских, Д. С. |
author_sort |
Borodin, S. L. |
title |
Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
title_short |
Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
title_full |
Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
title_fullStr |
Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
title_full_unstemmed |
Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
title_sort |
mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures |
publisher |
Издательство Тюменского государственного университета |
publishDate |
2020 |
url |
https://elib.utmn.ru/jspui/handle/ru-tsu/7708 https://doi.org/10.21684/2411-7978-2020-6-2-63-80 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_relation |
Вестник Тюменского государственного университета. Серия: Физико-математическое моделирование. Нефть, газ, энергетика. – 2020. – Т. 6, № 2(22) Borodin, S. L. Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures = Математическое моделирование равновесного полного замещения метана углекислым газом в газогидратном пласте при отрицательных температурах / S. L. Borodin, D. S. Belskikh. – Текст : электронный // Вестник Тюменского государственного университета. Серия: Физико-математическое моделирование. Нефть, газ, энергетика / главный редактор А. Б. Шабаров. – Тюмень : Издательство Тюменского государственного университета, 2020. – Т. 6, № 2(22). – С. 63-80. 2411-7978 2500-3526 https://elib.utmn.ru/jspui/handle/ru-tsu/7708 doi:10.21684/2411-7978-2020-6-2-63-80 |
op_doi |
https://doi.org/10.21684/2411-7978-2020-6-2-63-80 |
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Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy |
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container_start_page |
63 |
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80 |
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1766069011347406848 |
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ftunivtyumen:oai:10.252.206.116:ru-tsu/7708 2023-05-15T17:12:13+02:00 Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures Математическое моделирование равновесного полного замещения метана углекислым газом в газогидратном пласте при отрицательных температурах Borodin, S. L. Belskikh, D. S. Бородин, С. Л. Бельских, Д. С. 2020 application/pdf https://elib.utmn.ru/jspui/handle/ru-tsu/7708 https://doi.org/10.21684/2411-7978-2020-6-2-63-80 en eng Издательство Тюменского государственного университета Вестник Тюменского государственного университета. Серия: Физико-математическое моделирование. Нефть, газ, энергетика. – 2020. – Т. 6, № 2(22) Borodin, S. L. Mathematical modeling of the equilibrium complete replacement of methane by carbon dioxide in a gas hydrate reservoir at negative temperatures = Математическое моделирование равновесного полного замещения метана углекислым газом в газогидратном пласте при отрицательных температурах / S. L. Borodin, D. S. Belskikh. – Текст : электронный // Вестник Тюменского государственного университета. Серия: Физико-математическое моделирование. Нефть, газ, энергетика / главный редактор А. Б. Шабаров. – Тюмень : Издательство Тюменского государственного университета, 2020. – Т. 6, № 2(22). – С. 63-80. 2411-7978 2500-3526 https://elib.utmn.ru/jspui/handle/ru-tsu/7708 doi:10.21684/2411-7978-2020-6-2-63-80 mathematical modeling gas hydrates methane carbon dioxide porous medium gas filtration replacement equilibrium phase transition математическое моделирование газовые гидраты метан углекислый газ пористая среда фильтрация газа замещение равновесный фазовый переход Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article 2020 ftunivtyumen https://doi.org/10.21684/2411-7978-2020-6-2-63-80 2022-05-31T16:32:33Z 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. Amathematical 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. Газовые гидраты, в которых содержится наибольшее количество метана на нашей планете, являются перспективным источником природного газа, особенно после истощения традиционных газовых месторождений, запасы в которых оцениваются примерно на 50 лет. Поэтому уже сегодня необходимо проводить ... Article in Journal/Newspaper Methane hydrate University of Tyumen: UTMN Repository Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy 6 2 63 80 |