On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study
The purpose of this paper is to present a one-dimensional model that simulates the thermo-physical processes for methane hydrate decomposition in porous media. The mathematical model consists of equations for the conservation of energy, gas, and liquid as well as the thermodynamic equilibrium equati...
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ftmdpi:oai:mdpi.com:/2227-7390/11/2/341/ 2023-08-20T04:07:57+02:00 On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study Ahmed K. Abu-Nab Alexander V. Koldoba Elena V. Koldoba Yury A. Poveshchenko Viktoriia O. Podryga Parvin I. Rahimly Ahmed E. Bakeer 2023-01-09 application/pdf https://doi.org/10.3390/math11020341 EN eng Multidisciplinary Digital Publishing Institute https://dx.doi.org/10.3390/math11020341 https://creativecommons.org/licenses/by/4.0/ Mathematics; Volume 11; Issue 2; Pages: 341 methane hydrates porous medium phase transition finite difference technique hydrate decomposition Text 2023 ftmdpi https://doi.org/10.3390/math11020341 2023-08-01T08:12:08Z The purpose of this paper is to present a one-dimensional model that simulates the thermo-physical processes for methane hydrate decomposition in porous media. The mathematical model consists of equations for the conservation of energy, gas, and liquid as well as the thermodynamic equilibrium equation for temperature and pressure (P−T) in the hydrate stability region. The developed model is solved numerically by using the implicit finite difference technique on the grid system, which correctly describes the appearance of phase, latency, and boundary conditions. The Newton–Raphson method was employed to solve a system of nonlinear algebraic equations after defining and preparing the Jacobean matrix. Additionally, the proposed model describes the decomposition of methane hydrate by thermal catalysis of the components that make up the medium through multiple phases in porous media. In addition, the effect of thermodynamic processes during the hydrate decomposition on the pore saturation rate with hydrates a7nd water during different time periods was studied in a one-dimensional model. Finally, in a one-dimensional model over various time intervals, t=1, 10, 50 s, the pressure and temperature distributions during the decomposition of methane hydrates are introduced and investigated. The obtained results include more accurate solutions and are consistent with previous models based on the analysis of simulations and system stability. Text Methane hydrate MDPI Open Access Publishing Mathematics 11 2 341 |
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methane hydrates porous medium phase transition finite difference technique hydrate decomposition |
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methane hydrates porous medium phase transition finite difference technique hydrate decomposition Ahmed K. Abu-Nab Alexander V. Koldoba Elena V. Koldoba Yury A. Poveshchenko Viktoriia O. Podryga Parvin I. Rahimly Ahmed E. Bakeer On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study |
topic_facet |
methane hydrates porous medium phase transition finite difference technique hydrate decomposition |
description |
The purpose of this paper is to present a one-dimensional model that simulates the thermo-physical processes for methane hydrate decomposition in porous media. The mathematical model consists of equations for the conservation of energy, gas, and liquid as well as the thermodynamic equilibrium equation for temperature and pressure (P−T) in the hydrate stability region. The developed model is solved numerically by using the implicit finite difference technique on the grid system, which correctly describes the appearance of phase, latency, and boundary conditions. The Newton–Raphson method was employed to solve a system of nonlinear algebraic equations after defining and preparing the Jacobean matrix. Additionally, the proposed model describes the decomposition of methane hydrate by thermal catalysis of the components that make up the medium through multiple phases in porous media. In addition, the effect of thermodynamic processes during the hydrate decomposition on the pore saturation rate with hydrates a7nd water during different time periods was studied in a one-dimensional model. Finally, in a one-dimensional model over various time intervals, t=1, 10, 50 s, the pressure and temperature distributions during the decomposition of methane hydrates are introduced and investigated. The obtained results include more accurate solutions and are consistent with previous models based on the analysis of simulations and system stability. |
format |
Text |
author |
Ahmed K. Abu-Nab Alexander V. Koldoba Elena V. Koldoba Yury A. Poveshchenko Viktoriia O. Podryga Parvin I. Rahimly Ahmed E. Bakeer |
author_facet |
Ahmed K. Abu-Nab Alexander V. Koldoba Elena V. Koldoba Yury A. Poveshchenko Viktoriia O. Podryga Parvin I. Rahimly Ahmed E. Bakeer |
author_sort |
Ahmed K. Abu-Nab |
title |
On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study |
title_short |
On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study |
title_full |
On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study |
title_fullStr |
On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study |
title_full_unstemmed |
On the Theory of Methane Hydrate Decomposition in a One-Dimensional Model in Porous Sediments: Numerical Study |
title_sort |
on the theory of methane hydrate decomposition in a one-dimensional model in porous sediments: numerical study |
publisher |
Multidisciplinary Digital Publishing Institute |
publishDate |
2023 |
url |
https://doi.org/10.3390/math11020341 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_source |
Mathematics; Volume 11; Issue 2; Pages: 341 |
op_relation |
https://dx.doi.org/10.3390/math11020341 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.3390/math11020341 |
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Mathematics |
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11 |
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2 |
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341 |
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1774719936526024704 |