The scanning tests were conducted on three groups of natural rock joints using the X3 3D laser scanner, in order to characterize the morphological characteristics of rough rock joint surface quantitatively. The joint surface was reconstructed based on the Delaunay triangulation, the relationship between the asperity and the shear direction was analyzed, and a new model was developed to characterize the relation between the effective dip angle and the potential contact area. Besides, the relationship between joint roughness and the sampling interval was investigated. Results show that the results of the new model has a good agreement with the morphological test result. In addition, the new model has better accuracy compared with Grasselli’s model. A new roughness index was proposed based on the proposed model, and the new index is compatible with dimensional analysis and can capture the anisotropic characteristics of joint roughness. The new index can be used to characterize the roughness of natural rock joints. In addition, it is found that the roughness index decreases as the sampling point distance increases. Under certain circumstances, the increase in the sampling point distance in a local area will cause the roughness to decrease, which is because the first-order roughness feature of the joint is exaggerated.
Xi CHEN,Ya-wu ZENG. Improved morphology characterization method and sampling effect of rough rock joint. Journal of ZheJiang University (Engineering Science), 2021, 55(11): 2161-2169.
Fig.1Three-dimensional scanner X3 and scanning process
Fig.2Morphology of rock joint surface
Fig.3Relationship between asperity and shear direction[24]
Fig.4Potential contact area corresponding to different critical effective angles
Fig.5Contact area ratio corresponding to different critical effective angles
Fig.6Flow chart of joint morphology calculation
Fig.7Fitting accuracy of each model in forward shear direction
Fig.8Fitting accuracy of each model in reverse shear direction
Fig.9Radar plot of shear direction
Fig.10Anisotropy of roughness
Fig.11Morphology characteristics of joint under different sampling intervals
Fig.12Variation of $\theta^*_{\rm{r}}$/k of each joint with shear direction and sampling interval
Fig.13Schematic diagram of roughness index increasing with sampling interval
[1]
LI Y, TANG C, LI D, et al A new shear strength criterion of three-dimensional rock joints[J]. Rock Mechanics and Rock Engineering, 2020, 53 (3): 1477- 1483
doi: 10.1007/s00603-019-01976-5
[2]
TIAN Y, LIU Q, LIU D, et al. Updates to Grasselli′s peak shear strength model[J]. Rock Mechanics and Rock Engineering, 2018, 51(7): 2115−2133.
[3]
BARTON N, CHOUBEY V. The shear strength of rock joints in theory and practice[J]. Rock Mechanics and Rock Engineering, 1977, 10(1): 1−54.
[4]
葛云峰, 唐辉明, 黄磊, 等. 岩体结构面三维粗糙度系数表征新方法[J]. 岩石力学与工程学报, 2012, 31(12): 2508−2517. GE Yun-feng, TANG Hui-ming, HUANG Lei, et al. A new representation method for three-dimensional joint roughness coefficient of rock mass discontinuities[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(12): 2508−2517.
[5]
LIU X, ZHU W, YU Q, et al. Estimating the joint roughness coefficient of rock joints from translational overlapping statistical parameters[J]. Rock Mechanics and Rock Engineering, 2018, 52(3): 753−769.
[6]
ZHANG G, KARAKUS M, TANG H, et al. A new method estimating the 2D joint roughness coefficient for discontinuity surfaces in rock masses[J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 72: 191−198.
[7]
TATONE BSA, GRASSELLI G A new 2D discontinuity roughness parameter and its correlation with JRC[J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47: 1391- 1400
doi: 10.1016/j.ijrmms.2010.06.006
[8]
班力壬, 戚承志, 燕发源, 等. 岩石节理粗糙度新指标及新的JRC确定方法[J]. 煤炭学报, 2019, 44(4): 1059−1065. BAN Li-ren, QI Cheng-zhi, YAN Fa-yuan, et al. A new method for determining the JRC with new roughness parameters[J]. Journal of China Coal Society, 2019, 44(4): 1059−1065.
[9]
BELEM T, HOMAND-ETIENNE F, SOULEY M. Quantitative parameters for rock joint surface roughness[J]. Rock Mechanics and Rock Engineering, 2000, 33(4): 217−242.
[10]
唐志成, 黄润秋, 张建明, 等. 含坡度均方根的节理峰值剪切强度经验公式[J]. 岩土力学, 2015, 36(12): 3433−3438. TANG Zhi-cheng, HUANG Run-qiu, ZHANG Jian-ming, et al. Empirical peak shear strength criterion for rock joints based on slope root-mean-square[J]. Rock and Soil Mechanics, 2015, 36(12): 3433 −3438.
[11]
EL-SOUDANI S M. Profilometric analysis of fractures[J]. Metallography, 1978, 11(3): 247−336.
[12]
CHEN S J, ZHU W C, YU Q L, et al Characterization of anisotropy of joint surface roughness and aperture by variogram approach based on digital image processing technique[J]. Rock Mechanics and Rock Engineering, 2016, 49 (3): 855- 876
doi: 10.1007/s00603-015-0795-x
[13]
GRASSELLI G, WIRTH J, EGGER P. Quantitative three-dimensional description of a rough surface and parameter evolution with shearing[J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(6): 789−800.
[14]
GRASSELLI G. Shear strength of rock joints based on quantified surface description[D]. Zurich: Swiss Federal Institute of Technology, 2001.
[15]
GRASSELLI G. Manuel Rocha medal recipient shear strength of rock joints based on quantified surface description[J]. Rock Mechanics and Rock Engineering, 2006, 39(4): 295−314.
[16]
TANG Z C, JIAO Y Y, WONG L N Y, et al. Choosing appropriate parameters for developing empirical shear strength criterion of rock joint: review and new insights[J]. Rock Mechanics and Rock Engineering, 2016, 49(11): 4479−4490.
[17]
唐志成, 刘泉声, 夏才初, 等 . 确定岩石节理Maksimovic峰值抗剪强度准则中“粗糙度角Δφ”的新方法[J]. 岩土力学, 2014, 35(2): 551−555. TANG Zhi-cheng, LIU Quan-sheng, XIA Cai-chu, et al. A new method for calculating roughness angle Δφ in Maksimovic peak shear strength criterion of rock joints[J]. Rock and Soil Mechanics, 2014, 35(2): 551−555.
[18]
唐志成, 刘泉声, 夏才初. 节理三维形貌参数的采样效应与峰值抗剪强度准则[J]. 中南大学学报: 自然科学版, 2015, 46(7): 2524−2531. TANG Zhi-cheng, LIU Quan-sheng, XIA Cai-chu. Investigation of three-dimensional roughness scale-dependency and peak shear strength criterion[J]. Journal of Central South University: Science and Technology, 2015, 46(7): 2524−2531.
[19]
唐志成, 夏才初, 宋英龙, 等. Grasselli节理峰值抗剪强度公式再探[J]. 岩石力学与工程学报, 2012, 31(2): 356−364. TANG Zhi-cheng, XIA Cai-chu, SONG Ying-long, et al. Discussion about Grasselli's peak shear strength criterion for rock joints[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(2): 356−364.
[20]
XIA C C, TANG Z C, XIAO W M, et al New peak shear strength criterion of rock joints based on quantified surface description[J]. Rock Mechanics and Rock Engineering, 2014, 47 (2): 387- 400
doi: 10.1007/s00603-013-0395-6
[21]
YANG J, RONG G, HOU D, et al Experimental study on peak shear strength criterion for rock joints[J]. Rock Mechanics and Rock Engineering, 2016, 49 (3): 821- 835
doi: 10.1007/s00603-015-0791-1
[22]
SINGH H K, BASU A Evaluation of existing criteria in estimating shear strength of natural rock discontinuities[J]. Engineering Geology, 2018, 232: 171- 181
doi: 10.1016/j.enggeo.2017.11.023
[23]
葛云峰, 唐辉明, 王亮清, 等 天然岩体结构面粗糙度各向异性、尺寸效应、间距效应研究[J]. 岩土工程学报, 2016, 38 (1): 170- 179 GE Yun-feng, TANG Hui-ming, WANG Liang-qing, et al Anisotropy, scale and interval effects of natural rock discontinuity surface roughness[J]. Chinese Journal of Geotechnical Engineering, 2016, 38 (1): 170- 179
doi: 10.11779/CJGE201601019
[24]
TATONE B S, GRASSELLI G. A method to evaluate the three-dimensional roughness of fracture surfaces in brittle geomaterials[J]. Review of Scientific Instruments, 2009, 80(12): 125110.
[25]
班力壬, 戚承志, 单仁亮, 等 一种新的表征岩石节理粗糙度指标系统[J]. 煤炭学报, 2018, 43 (12): 3356-3363 BAN Li-ren, QI Cheng-zhi, SHAN Ren-liang, et al A new 3D roughness parameter system for rock joint[J]. Journal of China Coal Society, 2018, 43 (12): 3356-3363
[26]
BAN L, DU W, QI C A peak dilation angle model considering the real contact area for rock joints[J]. Rock Mechanics and Rock Engineering, 2020, 53: 4909- 4923
doi: 10.1007/s00603-020-02193-1
[27]
班力壬, 戚承志, 李晓照, 等. 考虑真实接触微凸体的岩石节理三维粗糙度指标. 煤炭学报, 2020, 45(12): 4052-4061. BAN Li-ren, QI Cheng-zhi, LI Xiao-zhao, et al. A 3D quantified surface description for rock joint based on the real contact asperities[J]. Journal of China Coal Society, 2020, 45(12): 4052-4061.
[28]
LIU Q, TIAN Y, LIU D, et al. Updates to JRC-JCS model for estimating the peak shear strength of rock joints based on quantified surface description[J]. Engineering Geology, 2017, 228: 282−300.