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| An evaluation method of clustering results of discontinuity orientation #br#
based on the representative fractal dimension and its application |
| LI Lichen1，2，WU Wenbing1，2，3，4，YANG Song1，2，YAO Zhaotian1，2 |
| (1. Faculty of Engineering，China University of Geosciences，Wuhan，Hubei 430074，China；2. Engineering Research Center of Rock-Soil Drilling and Excavation and Protection，Ministry of Education，China University of Geosciences，Wuhan，Hubei 430074，China；3. College of Civil Engineering and Architecture，Guangxi University，Nanning，Guangxi 530004，China；4. Guangxi Key Laboratory of Disaster Prevention and Structural Safety，Guangxi University，Nanning，Guangxi 530004，China) |
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Abstract The traditional fractal dimension describing the characteristics of discontinuity orientation is influenced by both the joint number and the characteristics of discontinuity orientations. The definition of representative fractal dimension is proposed to overcome the limitations of traditional methods. Monte Carlo method is introduced to generate the discontinuity samples that conform to the Fisher distribution and to represent different dispersion levels. The analysis of the fractal dimension with changing sample size reveals that there is a“three-level”trend generally，i.e.，the fractal dimension increasing fast at first，then slowly and finally reaching almost stable. The joint number at the increasing rate of fractal dimension slowing down for the first time is defined as the optimal joint number，and the corresponding fractal dimension is defined as the representative fractal dimension. The clustering method is introduced to group the joint data in a mining slope project. Comparison between the clustering results of representative fractal method and traditional validity index indicates that the fractal dimension does not require a pre-defined distribution form for joint sample and can describe the characteristics of discontinuity orientation better.
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2018, Vol. 37 
