A universal elliptical disc (UED) model to represent natural rock fractures
Since natural fractures are often non-equidimensional, the circular disc model still has great limitations. By contrast, the elliptical disc model is more applicable to representing natural fractures, especially for slender ones. This paper developed a universal elliptical disc (UED) model by incorp...
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| Published in | International journal of mining science and technology Vol. 32; no. 2; pp. 261 - 270 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.03.2022
Elsevier |
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| Abstract | Since natural fractures are often non-equidimensional, the circular disc model still has great limitations. By contrast, the elliptical disc model is more applicable to representing natural fractures, especially for slender ones. This paper developed a universal elliptical disc (UED) model by incorporating the center point, size, and azimuth of fractures as variables. Specifically, with respect to the azimuth of elliptical fractures in three-dimensional (3D) space, we proposed a paradigm to construct its probability density function (PDF) by coupling the orientation and rotation angle of long axis based on three coordinate transformations. To illustrate the construction process of the PDF of the fracture azimuth, we took the orientation following the Fisher distribution and the rotation angle following Von Mises distribution as an example. A rock slope is used to show the use of the developed UED model, and the 3D DFNs for the slope rock mass are generated by Monte Carlo simulation. In addition, the DFNs for the rock mass are also generated based on the existing circular disc model and non-universal elliptical disc model. The comparison results from the three models clearly illustrate the superiority of the UED model over the existing circular and non-universal elliptical disc models. |
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| AbstractList | Since natural fractures are often non-equidimensional, the circular disc model still has great limitations. By contrast, the elliptical disc model is more applicable to representing natural fractures, especially for slender ones. This paper developed a universal elliptical disc (UED) model by incorporating the center point, size, and azimuth of fractures as variables. Specifically, with respect to the azimuth of elliptical fractures in three-dimensional (3D) space, we proposed a paradigm to construct its probability density function (PDF) by coupling the orientation and rotation angle of long axis based on three coordinate transformations. To illustrate the construction process of the PDF of the fracture azimuth, we took the orientation following the Fisher distribution and the rotation angle following Von Mises distribution as an example. A rock slope is used to show the use of the developed UED model, and the 3D DFNs for the slope rock mass are generated by Monte Carlo simulation. In addition, the DFNs for the rock mass are also generated based on the existing circular disc model and non-universal elliptical disc model. The comparison results from the three models clearly illustrate the superiority of the UED model over the existing circular and non-universal elliptical disc models. |
| Author | Deng, Jianhui Lv, Qing Guo, Jichao Wang, Jiongchao Zheng, Jun Sun, Honglei |
| Author_xml | – sequence: 1 givenname: Jun surname: Zheng fullname: Zheng, Jun organization: Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China – sequence: 2 givenname: Jichao surname: Guo fullname: Guo, Jichao organization: Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China – sequence: 3 givenname: Jiongchao surname: Wang fullname: Wang, Jiongchao organization: Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China – sequence: 4 givenname: Honglei surname: Sun fullname: Sun, Honglei organization: College of Civil Engineering, Zhejiang University of Technology, Hangzhou 310023, China – sequence: 5 givenname: Jianhui surname: Deng fullname: Deng, Jianhui organization: State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource & Hydropower, Sichuan University, Chengdu 610065, China – sequence: 6 givenname: Qing surname: Lv fullname: Lv, Qing email: lvqing@zju.edu.cn organization: Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China |
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| Keywords | Discontinuity Elliptical disc model Discrete fracture networks Fisher distribution Rock mass Monte Carlo simulation |
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| Title | A universal elliptical disc (UED) model to represent natural rock fractures |
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