New roughness parameters for 3D roughness of rock joints

  • Liren Ban
  • Chun Zhu
  • Chengzhi QiEmail author
  • Zhigang TaoEmail author
Original Paper


To clearly portray the mechanical behavior of the shear process and to relate three-dimensional surface morphology to the shear strength of rock joints, we propose a new method, the equivalent height difference system, which can reflect that different geometric parameters of the asperities contribute differently to shear strength. A roughness parameter, the average equivalent height difference (AHD), is obtained by averaging the equivalent height difference in the shear direction, which can reflect the fluctuation and directivity of the joint surface morphology. The values of AHD at different sampling intervals were studied. The relationship between AHD values and sampling intervals is power law. Another roughness parameter, fractal dimension (DAHD), was proposed based on the fractal component, which characterizes the relationship of roughness at different scales and describes the roughness comprehensively from the point of view of scale. We used these two newly proposed roughness parameters to characterize the roughness of five joint surfaces. The results show that the new method can well reflect the three-dimensional morphology of the joint and describe the anisotropy of roughness, and it can also overcome the influence of the sampling interval.


Joint shear strength Rectangular-shaped asperities Surface morphology Roughness 



This work was supported by the National Key Basic Research Program of China (973) (Project No. 802015CB575) and the National Natural Science Foundation of China (Project Nos. 51478027 and 51174012).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanics and Civil EngineeringChina University of Mining & Technology (Beijing)BeijingChina
  2. 2.State Key Laboratory for Geomechanics & Deep Underground EngineeringBeijingChina
  3. 3.Beijing Future Urban Design High-Tech Innovation Center and 2011 Energy Conservation and Emission reduction Collaborative Innovation CenterBeijing University of Civil Engineering and ArchitectureBeijingChina
  4. 4.Shool of Civil and Transportation EngineeringBeijing University of Civil Engineering and ArchitectureBeijingChina

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