Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation
The paper deals with some typical problems of gas hydrates dissociation in a porous medium, which in the first approximation can be reduced to one-dimensional. The research aims to study the mutual effects of underground gas hydrates and climate change, as well as some important technological and ec...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2019-06-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/uz-eng-phm-2019-2-4.html |
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| author | Yu.A. Poveshchenko V.O. Podryga I.V. Popov S.B. Popov P.I. Rahimly G.I. Kazakevich |
| author_facet | Yu.A. Poveshchenko V.O. Podryga I.V. Popov S.B. Popov P.I. Rahimly G.I. Kazakevich |
| author_sort | Yu.A. Poveshchenko |
| collection | DOAJ |
| description | The paper deals with some typical problems of gas hydrates dissociation in a porous medium, which in the first approximation can be reduced to one-dimensional. The research aims to study the mutual effects of underground gas hydrates and climate change, as well as some important technological and ecological problems of the flow in the well or fault area in the presence of hydrate-containing formations. New conservative difference schemes were developed for this class of problems. They are based on the splitting of gas-hydrodynamic processes. The advantage of these schemes is the phased solution of parabolic and hyperbolic equations. This approach greatly simplifies the solution procedure and at the same time increases its stability. Notably, within the framework of the approach, an algorithm was proposed to jointly solve the systems of equations describing the processes in various fields characterized by their own set of coexisting phases. The coordination of computational schemes for them is not a trivial and automatic process. Numerical calculations using mathematical modeling for the joint description of the gas hydrate zone and the zone with no gas hydrates were carried out. The results of calculations showed the applicability of the developed methods for solving the problems under study. |
| format | Article |
| id | doaj-art-6beff7f124694e998bcb2c9afb5619c7 |
| institution | OA Journals |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2019-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-6beff7f124694e998bcb2c9afb5619c72025-08-20T02:18:19ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982019-06-01162220522910.26907/2541-7746.2019.2.205-229Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulationYu.A. Poveshchenko0V.O. Podryga1I.V. Popov2S.B. Popov3P.I. Rahimly4G.I. Kazakevich5Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409 RussiaKeldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia; Moscow Automobile and Road Construction State Technical University, Moscow, 125319 RussiaKeldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409 RussiaKeldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 RussiaKeldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 RussiaP.P. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997 RussiaThe paper deals with some typical problems of gas hydrates dissociation in a porous medium, which in the first approximation can be reduced to one-dimensional. The research aims to study the mutual effects of underground gas hydrates and climate change, as well as some important technological and ecological problems of the flow in the well or fault area in the presence of hydrate-containing formations. New conservative difference schemes were developed for this class of problems. They are based on the splitting of gas-hydrodynamic processes. The advantage of these schemes is the phased solution of parabolic and hyperbolic equations. This approach greatly simplifies the solution procedure and at the same time increases its stability. Notably, within the framework of the approach, an algorithm was proposed to jointly solve the systems of equations describing the processes in various fields characterized by their own set of coexisting phases. The coordination of computational schemes for them is not a trivial and automatic process. Numerical calculations using mathematical modeling for the joint description of the gas hydrate zone and the zone with no gas hydrates were carried out. The results of calculations showed the applicability of the developed methods for solving the problems under study.https://kpfu.ru/uz-eng-phm-2019-2-4.htmlgas hydratesfllteringnumerical simulation |
| spellingShingle | Yu.A. Poveshchenko V.O. Podryga I.V. Popov S.B. Popov P.I. Rahimly G.I. Kazakevich Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation Учёные записки Казанского университета: Серия Физико-математические науки gas hydrates flltering numerical simulation |
| title | Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation |
| title_full | Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation |
| title_fullStr | Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation |
| title_full_unstemmed | Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation |
| title_short | Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation |
| title_sort | numerical simulation in problems with dissociation of gas hydrates in a porous medium in one dimensional formulation |
| topic | gas hydrates flltering numerical simulation |
| url | https://kpfu.ru/uz-eng-phm-2019-2-4.html |
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