Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures
In order to study the effect of fracture geometry on the nonlinear flow properties in aperture-based fractures, a fractal model based on the self-affinity is proposed to characterize the three-dimensional geometry of rough-walled fractures. By solving the N–S (Navier–Stokes) equation directly, the r...
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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: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/6687878 |
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| author | Xin Zhou Jianlong Sheng Ruili Lu Zuyang Ye Wang Luo |
| author_facet | Xin Zhou Jianlong Sheng Ruili Lu Zuyang Ye Wang Luo |
| author_sort | Xin Zhou |
| collection | DOAJ |
| description | In order to study the effect of fracture geometry on the nonlinear flow properties in aperture-based fractures, a fractal model based on the self-affinity is proposed to characterize the three-dimensional geometry of rough-walled fractures. By solving the N–S (Navier–Stokes) equation directly, the relationships between the Forchheimer-flow characteristics, fractal dimension, and standard deviation of the aperture have been obtained. The Forchheimer equation is validated to describe the nonlinear relationship between flow rate and pressure gradient. For lower flow rate, the influence of the fractal dimension almost can be ignored, but the linear coefficient increases and the hydraulic aperture decreases with increasing standard deviation of the aperture, respectively. For larger flow rate, the nonlinear coefficient increases with the growth of the standard deviation of the aperture and fractal dimension. Thus, an empirical relationship between the nonlinear coefficient, fractal dimension, and standard deviation of aperture is proposed. In addition, the critical Reynolds number decreases with the increase of the standard deviation of the aperture and the fractal dimension, and the numerical results are generally consistent with the experimental data. |
| format | Article |
| id | doaj-art-ec03578db9974f258ed51d1485315a08 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-ec03578db9974f258ed51d1485315a082025-02-03T01:24:45ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/66878786687878Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based FracturesXin Zhou0Jianlong Sheng1Ruili Lu2Zuyang Ye3Wang Luo4School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaSchool of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaChangjiang Institute of Technology, Wuhan 430212, ChinaSchool of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaSchool of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaIn order to study the effect of fracture geometry on the nonlinear flow properties in aperture-based fractures, a fractal model based on the self-affinity is proposed to characterize the three-dimensional geometry of rough-walled fractures. By solving the N–S (Navier–Stokes) equation directly, the relationships between the Forchheimer-flow characteristics, fractal dimension, and standard deviation of the aperture have been obtained. The Forchheimer equation is validated to describe the nonlinear relationship between flow rate and pressure gradient. For lower flow rate, the influence of the fractal dimension almost can be ignored, but the linear coefficient increases and the hydraulic aperture decreases with increasing standard deviation of the aperture, respectively. For larger flow rate, the nonlinear coefficient increases with the growth of the standard deviation of the aperture and fractal dimension. Thus, an empirical relationship between the nonlinear coefficient, fractal dimension, and standard deviation of aperture is proposed. In addition, the critical Reynolds number decreases with the increase of the standard deviation of the aperture and the fractal dimension, and the numerical results are generally consistent with the experimental data.http://dx.doi.org/10.1155/2021/6687878 |
| spellingShingle | Xin Zhou Jianlong Sheng Ruili Lu Zuyang Ye Wang Luo Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures Advances in Civil Engineering |
| title | Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures |
| title_full | Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures |
| title_fullStr | Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures |
| title_full_unstemmed | Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures |
| title_short | Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures |
| title_sort | numerical simulation of the nonlinear flow properties in self affine aperture based fractures |
| url | http://dx.doi.org/10.1155/2021/6687878 |
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