Dual fractal features of the surface roughness of natural rock joints
SUN Shengyue1，LI Yingchun1，TANG Chun?an1，LI Bo2
(1. State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian，Liaoning 116024，China；2. School of Civil Engineering，Shaoxing University，Shaoxing，Zhejiang 312000，China)
Abstract：To characterize the morphological properties of natural rock joints and to quantify waviness and unevenness of rock joints，the cut-off grid size and cut-off wave vector were established as the critical parameters for two-order roughness decomposition through the classic triangular-prism method(TPM)，and the fractal dimensions and root mean squares of the two-order roughness were respectively calculated through the power spectrum density method(PSD). The scale dependence of the fractal parameters of the two-order roughness was investigated for three large-scale natural granite joints. It is found that TPM is universally applicable for separating waviness and unevenness of the joint surface at various sizes，whereas the cut-off grid size and cut-off wave vector depend on the range of the joint surface size. Waviness and unevenness of the rock joint with a size varying from 100 mm×100 mm to 1 000 mm×1 000 mm own individual fractal dimension. The fractal dimensions of two-order roughness exhibit random scale effect. It is also shown that，as the joint size increases，the root mean square of the waviness increases，whereas the root mean square of the unevenness which is obviously smaller than that of the waviness varies smoothly. Accurate characterization of the two-order roughness facilitates in-depth understanding of the shear slip of geological discontinuities，by which the early warning of geological disasters such as slip bursts can be predicted.
孙盛玥1，李迎春1，唐春安1，李 博2. 天然岩石节理双阶粗糙度分形特征研究[J]. 岩石力学与工程学报, 2019, 38(12): 2502-2511.
SUN Shengyue1，LI Yingchun1，TANG Chun?an1，LI Bo2. Dual fractal features of the surface roughness of natural rock joints. , 2019, 38(12): 2502-2511.
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2019, Vol. 38 
