基于分形理论构建随机粗糙节理模型的方法研究

doi:10.13722/j.cnki.jrme.2020.0487

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Abstract The three-dimensional morphology is the key factor affecting the shear mechanical properties of rock joints. 3D scanning is performed to reconstruct the surface morphology model of the sandstone tension joint obtained by the Brazilian splitting test. The stochastic methodology of generating fractal digital elevation models，which is widely used in topography，is introduced to construct surface models with different rough morphological features based on the statistical self-similarity of rough joint surfaces. By adjusting the random parameter d，a series of fractal rough joints with different morphological features are generated using the “diamond-square” algorithm，and compared with the natural sandstone tension joint obtained by the Brazilian splitting test. 3D box-counting method is used to calculate the fractal dimensions of both kinds of joint surfaces，and the statistical distribution of apparent dip angles along a specific shear direction is analyzed. Considering the fractal dimension and the standard deviation of the statistical distribution of apparent dip angles as characterization parameters of 3D joint roughness，it is confirmed that the morphological feature of the natural sandstone tension joint conform to that of the artificial surface with the random parameter d ranging from 2 mm to 3 mm，verifying the feasibility of the stochastic method of constructing digital elevation model based on fractal theory for modelling rough joints with different morphologies.

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rock mechanics joint model fractal theory digital elevation model 3D box-counting method 3D tension joint morphology ')" href="#">apparent dip angle

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	Articles by authors
	SONG Yu
	LIU Baoguo
	REN Darui
	YU Mingyuan
	HUANG Rui

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SONG Yu,LIU Baoguo,REN Darui, et al. Study on stochastic method for modeling rough joints based on fractal theory[J]. , 2021, 40(1): 101-112.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.0487 OR http://rockmech.whrsm.ac.cn/EN/Y2021/V40/I1/101

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