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.

Jun Zheng;Jichao Guo;Jiongchao Wang;Honglei Sun;Jianhui Deng;Qing Lv

Department of Civil Engineering Zhejiang University,Hangzhou 310058,China;Center for Balance Architecture,Zhejiang University,Hangzhou 310007,China;College of Civil Engineering,Zhejiang University of Technology,Hangzhou 310023,China;State Key Laboratory of Hydraulics and Mountain River Engineering,College of Water Resource&Hydropower,Sichuan University,Chengdu 610065,China

矿业科学技术学报（英文版）

[1]Jun Zheng;Jichao Guo;Jiongchao Wang;Honglei Sun;Jianhui Deng;Qing Lv-.A universal elliptical disc(UED)model to represent natural rock fractures)[J].矿业科学技术学报（英文版）,2022(02):261-270

UED,equidimensional,DFNs

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