Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid
It is of great significance for the improvement of grouting technology and engineering practice to master the flow law of grout between parallel plates. However, the traditional calculation model ignores the influence of the inertia term and only considers the stable flow of slurry, so there is a bi...
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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/10.1155/2021/6671982 |
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| _version_ | 1832568543115214848 |
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| author | Bo Ren Lianguo Wang Hao Fan Ke Ding Kai Wang Chongyang Jiang |
| author_facet | Bo Ren Lianguo Wang Hao Fan Ke Ding Kai Wang Chongyang Jiang |
| author_sort | Bo Ren |
| collection | DOAJ |
| description | It is of great significance for the improvement of grouting technology and engineering practice to master the flow law of grout between parallel plates. However, the traditional calculation model ignores the influence of the inertia term and only considers the stable flow of slurry, so there is a big error in some cases. It is difficult to solve the motion equation of a Bingham fluid considering the inertial force term directly. Combined with the relationship between the steady-state flow equation of a Bingham fluid and a Newtonian fluid, the approximate unsteady-state flow equation of a Bingham fluid suitable for describing slurry flow is constructed. In addition, according to the unsteady flow equation, the relationship between the time and distance of slurry flow in parallel plate fractures can be obtained, and the simplified conditions of the Bingham fluid unsteady flow model are given. Finally, the accuracy of the flow equations and the simplified conditions are verified by experiments and numerical calculations. |
| format | Article |
| id | doaj-art-06742f25299846ac90c7e2e02bc5997f |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-06742f25299846ac90c7e2e02bc5997f2025-02-03T00:58:50ZengWileyGeofluids1468-81151468-81232021-01-01202110.1155/2021/66719826671982Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham FluidBo Ren0Lianguo Wang1Hao Fan2Ke Ding3Kai Wang4Chongyang Jiang5State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaIt is of great significance for the improvement of grouting technology and engineering practice to master the flow law of grout between parallel plates. However, the traditional calculation model ignores the influence of the inertia term and only considers the stable flow of slurry, so there is a big error in some cases. It is difficult to solve the motion equation of a Bingham fluid considering the inertial force term directly. Combined with the relationship between the steady-state flow equation of a Bingham fluid and a Newtonian fluid, the approximate unsteady-state flow equation of a Bingham fluid suitable for describing slurry flow is constructed. In addition, according to the unsteady flow equation, the relationship between the time and distance of slurry flow in parallel plate fractures can be obtained, and the simplified conditions of the Bingham fluid unsteady flow model are given. Finally, the accuracy of the flow equations and the simplified conditions are verified by experiments and numerical calculations.http://dx.doi.org/10.1155/2021/6671982 |
| spellingShingle | Bo Ren Lianguo Wang Hao Fan Ke Ding Kai Wang Chongyang Jiang Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid Geofluids |
| title | Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid |
| title_full | Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid |
| title_fullStr | Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid |
| title_full_unstemmed | Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid |
| title_short | Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid |
| title_sort | unsteady approximate model of grouting in fractured channels based on bingham fluid |
| url | http://dx.doi.org/10.1155/2021/6671982 |
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