Chemical Potential-Based Modeling of Shale Gas Transport
Shale gas plays an increasingly important role in the current energy industry. Modeling of gas flow in shale media has become a crucial and useful tool to estimate shale gas production accurately. The second law of thermodynamics provides a theoretical criterion to justify any promising model, but i...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2021/2535284 |
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| _version_ | 1832560706261614592 |
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| author | Jisheng Kou Lingyun Chen Amgad Salama Jianchao Cai |
| author_facet | Jisheng Kou Lingyun Chen Amgad Salama Jianchao Cai |
| author_sort | Jisheng Kou |
| collection | DOAJ |
| description | Shale gas plays an increasingly important role in the current energy industry. Modeling of gas flow in shale media has become a crucial and useful tool to estimate shale gas production accurately. The second law of thermodynamics provides a theoretical criterion to justify any promising model, but it has been never fully considered in the existing models of shale gas. In this paper, a new mathematical model of gas flow in shale formations is proposed, which uses gas density instead of pressure as the primary variable. A distinctive feature of the model is to employ chemical potential gradient rather than pressure gradient as the primary driving force. This allows to prove that the proposed model obeys an energy dissipation law, and thus, the second law of thermodynamics is satisfied. Moreover, on the basis of energy factorization approach for the Helmholtz free energy density, an efficient, linear, energy stable semi-implicit numerical scheme is proposed for the proposed model. Numerical experiments are also performed to validate the model and numerical method. |
| format | Article |
| id | doaj-art-eed0e586847a45ad897526899396cbb3 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-eed0e586847a45ad897526899396cbb32025-02-03T01:27:01ZengWileyGeofluids1468-81151468-81232021-01-01202110.1155/2021/25352842535284Chemical Potential-Based Modeling of Shale Gas TransportJisheng Kou0Lingyun Chen1Amgad Salama2Jianchao Cai3School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432000 Hubei, ChinaSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432000 Hubei, ChinaProcess System Engineering, Faculty of Engineering and Applied Science, University of Regina, 3737 Wascana Pkwy, Regina, Saskatchewan, S4S 0A2, CanadaState Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, ChinaShale gas plays an increasingly important role in the current energy industry. Modeling of gas flow in shale media has become a crucial and useful tool to estimate shale gas production accurately. The second law of thermodynamics provides a theoretical criterion to justify any promising model, but it has been never fully considered in the existing models of shale gas. In this paper, a new mathematical model of gas flow in shale formations is proposed, which uses gas density instead of pressure as the primary variable. A distinctive feature of the model is to employ chemical potential gradient rather than pressure gradient as the primary driving force. This allows to prove that the proposed model obeys an energy dissipation law, and thus, the second law of thermodynamics is satisfied. Moreover, on the basis of energy factorization approach for the Helmholtz free energy density, an efficient, linear, energy stable semi-implicit numerical scheme is proposed for the proposed model. Numerical experiments are also performed to validate the model and numerical method.http://dx.doi.org/10.1155/2021/2535284 |
| spellingShingle | Jisheng Kou Lingyun Chen Amgad Salama Jianchao Cai Chemical Potential-Based Modeling of Shale Gas Transport Geofluids |
| title | Chemical Potential-Based Modeling of Shale Gas Transport |
| title_full | Chemical Potential-Based Modeling of Shale Gas Transport |
| title_fullStr | Chemical Potential-Based Modeling of Shale Gas Transport |
| title_full_unstemmed | Chemical Potential-Based Modeling of Shale Gas Transport |
| title_short | Chemical Potential-Based Modeling of Shale Gas Transport |
| title_sort | chemical potential based modeling of shale gas transport |
| url | http://dx.doi.org/10.1155/2021/2535284 |
| work_keys_str_mv | AT jishengkou chemicalpotentialbasedmodelingofshalegastransport AT lingyunchen chemicalpotentialbasedmodelingofshalegastransport AT amgadsalama chemicalpotentialbasedmodelingofshalegastransport AT jianchaocai chemicalpotentialbasedmodelingofshalegastransport |