A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method
The purpose of the present work is to develop a quasi-3D numerical method that can be used to study the diffusion mechanism of grout injection in a rock fracture based on the collocated structured grid of the finite volume method (FVM). Considering the characteristics of fracture in geometry that th...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/4139616 |
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| author | Xiaolong Li Meimei Hao Yanhui Zhong Bei Zhang Fuming Wang Lianbang Wang |
| author_facet | Xiaolong Li Meimei Hao Yanhui Zhong Bei Zhang Fuming Wang Lianbang Wang |
| author_sort | Xiaolong Li |
| collection | DOAJ |
| description | The purpose of the present work is to develop a quasi-3D numerical method that can be used to study the diffusion mechanism of grout injection in a rock fracture based on the collocated structured grid of the finite volume method (FVM). Considering the characteristics of fracture in geometry that the aperture is much less than its length and width, the Hele-Shaw model is introduced to deduce the z-derivatives of velocities u and v at walls, which is a function of the relevant average velocity and the fracture aperture. The traditional difference scheme for the diffusive term is partly substituted with the derived analytical expressions; hence a three-dimensional problem of grout flow in the parallel fracture can be transformed into a two-dimensional one that concerns fracture aperture. The new model is validated by the analytical solution and experimental data on three cases of grouting in the parallel-plate fracture. Compared with the results from ANSYS-Fluent software, the present model shows better agreement with the analytical solution for the distribution of pressure and velocity. Furthermore, the new model needs less grid unit, spends less time, but achieves greater accuracy. The complexity of the grout flow field in the rock fracture is reduced; thus the computational efficiency can be improved significantly. |
| format | Article |
| id | doaj-art-266a5ba38ebc43559b77ffdef023c5b7 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-266a5ba38ebc43559b77ffdef023c5b72025-02-03T05:59:40ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/41396164139616A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume MethodXiaolong Li0Meimei Hao1Yanhui Zhong2Bei Zhang3Fuming Wang4Lianbang Wang5School of Water Conservancy Science & Engineering, Zhengzhou Univ., 100 Science Ave., Zhengzhou City 450001, ChinaSchool of Water Conservancy Science & Engineering, Zhengzhou Univ., 100 Science Ave., Zhengzhou City 450001, ChinaSchool of Water Conservancy Science & Engineering, Zhengzhou Univ., 100 Science Ave., Zhengzhou City 450001, ChinaSchool of Water Conservancy Science & Engineering, Zhengzhou Univ., 100 Science Ave., Zhengzhou City 450001, ChinaSchool of Water Conservancy Science & Engineering, Zhengzhou Univ., 100 Science Ave., Zhengzhou City 450001, ChinaSchool of Water Conservancy Science & Engineering, Zhengzhou Univ., 100 Science Ave., Zhengzhou City 450001, ChinaThe purpose of the present work is to develop a quasi-3D numerical method that can be used to study the diffusion mechanism of grout injection in a rock fracture based on the collocated structured grid of the finite volume method (FVM). Considering the characteristics of fracture in geometry that the aperture is much less than its length and width, the Hele-Shaw model is introduced to deduce the z-derivatives of velocities u and v at walls, which is a function of the relevant average velocity and the fracture aperture. The traditional difference scheme for the diffusive term is partly substituted with the derived analytical expressions; hence a three-dimensional problem of grout flow in the parallel fracture can be transformed into a two-dimensional one that concerns fracture aperture. The new model is validated by the analytical solution and experimental data on three cases of grouting in the parallel-plate fracture. Compared with the results from ANSYS-Fluent software, the present model shows better agreement with the analytical solution for the distribution of pressure and velocity. Furthermore, the new model needs less grid unit, spends less time, but achieves greater accuracy. The complexity of the grout flow field in the rock fracture is reduced; thus the computational efficiency can be improved significantly.http://dx.doi.org/10.1155/2019/4139616 |
| spellingShingle | Xiaolong Li Meimei Hao Yanhui Zhong Bei Zhang Fuming Wang Lianbang Wang A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method Complexity |
| title | A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method |
| title_full | A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method |
| title_fullStr | A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method |
| title_full_unstemmed | A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method |
| title_short | A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method |
| title_sort | quasi 3d numerical model for grout injection in a parallel fracture based on finite volume method |
| url | http://dx.doi.org/10.1155/2019/4139616 |
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