Abstract
The engineering rock mass is a multi-fracture body crisscrossed by geologic structure planes, and its safety is affected by the rock joints’ mechanical properties and morphological features. The joint roughness coefficient (JRC) is a vital characterization method to describe joint surface roughness. Its precise quantization is a crucial factor in predicting shear strength. However, JRC in recent research did not reflect the directional effect of the joint morphology. A new 3D roughness parameter WAD (weighted apparent dip) was proposed to estimate JRC based on the apparent dip angle of the contact unit. The proposed parameter comprehensively reflects the contribution of shear direction and asperity features to the roughness. Based on the ten standard roughness profiles, we investigated the directionality of the WAD and studied the influence of the sampling interval (Sai) on WAD and their correlation with JRC. And the practicability of WAD in evaluating JRC was well verified by the comparison between the indoor test and calculated results with different roughness and shear directions, and the results showed that WAD could accurately estimate the shear strength of the joint rock.
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References
Bahaaddini M, Sharrock G, Hebblewhite BK (2013) Numerical investigation of the effect of joint geometrical parameters on the mechanical properties of a non-persistent jointed rock mass under uniaxial compression. Computers and Geotechnics 49:206–25, DOI: https://doi.org/10.1016/j.compgeo.2012.10.012
Ban L, Zhu C, Qi C, Tao Z (2019) New roughness parameters for 3D roughness of rock joints. Bulletin of Engineering Geology and the Environment 78(6):4505–17, DOI: https://doi.org/10.1007/s10064-018-1394-3
Barton N (1973) Review of a new shear strength criterion for rock joints. Engineering Geology 7:287–332, DOI: https://doi.org/10.1016/0013-7952(73)90013-6
Barton N (1978) Suggested methods for the quantitative description of discontinuities in rock masses. ISRM, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 15(6):319–68, DOI: https://doi.org/10.1016/0148-9062(79)91476-1
Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock mechanics 10(1):1–54, DOI: https://doi.org/10.1007/bf01261801
Belem T, Souley M, Homand F (2009) Method for quantification of wear of sheared joint walls based on surface morphology. Journal title is Engineering Geology 42(6):883–910, DOI: https://doi.org/10.1007/s00603-008-0023-z
Bi J, Zhou XP (2017) Numerical simulation of kinetic friction in the fracture process of rocks in the framework of General Particle Dynamics. Computers and Geotechnics 83:1–15, DOI: https://doi.org/10.1016/j.compgeo.2016.10.019
Brodsky EE, Kirkpatrick JD, Candela T (2016) Constraints from fault roughness on the scale-dependent strength of rocks. Geology (Boulder) 44(1):19–22, DOI: https://doi.org/10.1130/G37206.1
Casagrande D, Buzzi O, Giacomini A, Lambert C, Fenton G (2018) A new stochastic approach to predict peak and residual shear strength of natural rock discontinuities. Rock Mechanics and Rock Engineering 51(1):69–99, DOI: https://doi.org/10.1007/s00603-017-1302-3
Chen Y, Lin H, Ding X, Xie S (2021) Scale effect of shear mechanical properties of non-penetrating horizontal rock-like joints. Environmental Earth Sciences 80(5):1–10, DOI: https://doi.org/10.1007/s12665-021-09485-x
Fialko Y, Khazan Y (2005) Fusion by earthquake fault friction: Stick or slip? Journal of Geophysical Research 110(B12), DOI: https://doi.org/10.1029/2005JB003869
Gao F, Hu Y, Liu G, Yang Y (2020) Experiment study on topological characteristics of sandstone coating by micro CT. Coatings 10(12):1143, DOI: https://doi.org/10.3390/coatings10121143
Grasselli G, Wirth J, Egger P (2002) Quantitative three-dimensional description of a rough surface and parameter evolution with shearing. International Journal of Rock Mechanics and Mining Sciences (Oxford, England: 1997) 39(6):789–800, DOI: https://doi.org/10.1016/S1365-1609(02)00070-9
He L, Zhao Z, Chen J, Liu D (2020) Empirical shear strength criterion for rock joints based on joint surface degradation characteristics during shearing. Rock Mechanics and Rock Engineering 53(8):3609–24, DOI: https://doi.org/10.1007/s00603-020-02120-4
Hou D, Rong G, Yang J, Zhou C, Peng J, Wang X (2016) A new shear strength criterion of rock joints based on cyclic shear experiment. Eur European Journal of Environmental and Civil Engineering 20(2):180–98, DOI: https://doi.org/10.1080/19648189.2015.1021383
Huan J, Zhang Z, He M, Li N (2021) A new statistical parameter for determining joint roughness coefficient (JRC) considering the shear direction and contribution of different protrusions. Advances in Civil Engineering 2021:1–15, DOI: https://doi.org/10.1155/2021/6641201
Jang H, Kang S, Jang B (2014) Determination of joint roughness coefficients using roughness parameters. Rock Mechanics and Rock Engineering 47(6):2061–73, DOI: https://doi.org/10.1007/s00603-013-0535-z
Kumar R, Verma AK (2020) Corrections applied to direct shear results and development of modified Barton’s shear strength criterion for rock joints. Journal title is Arabian Journal of Geosciences 13(19), DOI: https://doi.org/10.1007/s12517-020-06030-1
Li Y, Huang R (2015) Relationship between joint roughness coefficient and fractal dimension of rock fracture surfaces. International Journal of Rock Mechanics and Mining Sciences 75:15–22, DOI: https://doi.org/10.1016/j.ijrmms.2015.01.007
Li Y, Wu W, Tang C, Liu B (2019) Predicting the shear characteristics of rock joints with asperity degradation and debris backfilling under cyclic loading conditions. International Journal of Rock Mechanics and Mining Sciences 120:108–18, DOI: https://doi.org/10.1016/j.ijrmms.2019.06.001
Liu Q, Tian Y, Ji P, Ma H (2018) Experimental investigation of the peak shear strength criterion based on three-dimensional surface description. Journal title is Rock Mechanics and Rock Engineering 51(4):1005–25, DOI: https://doi.org/10.1007/s00603-017-1390-0
Maerz NH, Franklin JA, Bennett CP (1990) Joint roughness measurement using shadow profilometry International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 27:329–43, DOI: https://doi.org/10.1016/0148-9062(91)92795-z
Mehrishal S, Sharifzadeh M, Shahriar K, Song J (2017) Shear model development of limestone joints with incorporating variations of basic friction coefficient and roughness components during shearing. Rock Mechanics and Rock Engineering 50(4):825–55, DOI: https://doi.org/10.1007/s00603-016-1128-4
Meng F, Zhou H, Wang Z, Zhang L, Kong L, Li, S, Zhang C (2017) Influences of shear history and infilling on the mechanical characteristics and acoustic emissions of joints. Rock Mechanics and Rock Engineering 50(8):2039–57, DOI: https://doi.org/10.1007/s00603-017-1207-1
Park J, Song J (2009) Numerical simulation of a direct shear test on a rock joint using a bonded-particle model. International Journal of Rock Mechanics and Mining Sciences 46(8):1315–28, DOI: https://doi.org/10.1016/j.ijrmms.2009.03.007
Park J, Song J (2013) Numerical method for the determination of contact areas of a rock joint under normal and shear loads. International Journal of Rock Mechanics and Mining Sciences 58:8–22, DOI: https://doi.org/10.1016/j.ijrmms.2012.10.001
Rafiei Renani H, Martin CD (2018) Cohesion degradation and friction mobilization in brittle failure of rocks. International Journal of Rock Mechanics and Mining Sciences 106:1–13, DOI: https://doi.org/10.1016/j.ijrmms.2018.04.003
Roy A, Perfect E, Dunne WM, McKay LD (2007) Fractal characterization of fracture networks: An improved box-counting technique. Journal of Geophysical Research 112(B12), DOI: https://doi.org/10.1029/2006JB004582
Song L, Jiang Q, Li L, Liu C, Liu X, Xiong J (2020) An enhanced index for evaluating natural joint roughness considering multiple morphological factors affecting the shear behavior. Bulletin of Engineering Geology and the Environment 79(4):2037–57, DOI: https://doi.org/10.1007/s10064-019-01700-1
Tang H, Ge Y, Wang L, Yuan Y, Huang L, Sun M (2012) Study on estimation method of rock mass discontinuity shear strength based on three-dimensional laser scanning and image technique. Journal of Earth Science 23(6):908–13, DOI: https://doi.org/10.1007/s12583-012-0301-2
Tse R CDM (1979) Estimating joint roughness coefficients. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 16(5):303–7, DOI: https://doi.org/10.1016/0148-9062(80)90035-2
Wang W, Teng T (2022) Experimental study on anisotropic fracture characteristics of coal using notched semi-circular bend specimen. Theor Appl Fract Mec 122:103559, DOI: https://doi.org/10.1016/j.tafmec.2022.103559
Wang X, Zou L, Shen X, Ren Y, Qin Y (2017) A region-growing approach for automatic outcrop fracture extraction from a three-dimensional point cloud. Comput Geosci-Uk 99:100–6, DOI: https://doi.org/10.1016/j.cageo.2016.11.002
Xie H, Wang J, Xie W (1997) Fractal effects of surface roughness on the mechanical behavior of rock joints. Chaos, Solitons & Fractals 8(2):221–52, DOI: https://doi.org/10.1016/s0960-0779(96)00050-1
Yang JP, Chen WZ (2011) Study of statistic damage constitutive model for shear failure rock. Materials Research Innovations 15(sup1):s565–8, DOI: https://doi.org/10.1179/143307511X12858957676759
Yang J, Rong G, Hou D, Peng J, Zhou C (2016) Experimental study on peak shear strength criterion for rock joints. Rock Mechanics and Rock Engineering 49(3):821–35, DOI: https://doi.org/10.1007/s00603-015-0791-1
Yong R, Qin J, Huang M, Du S, Liu J, Hu G (2019) An innovative sampling method for determining the scale effect of rock joints. Rock Journal title is Rock Mechanics and Rock Engineering 52(3):935–46, DOI: https://doi.org/10.1007/s00603-018-1675-y
Zhang X, Jiang Q, Chen N, Wei W, Feng X (2016) Laboratory investigation on shear behavior of rock joints and a new peak shear strength criterion. Rock Mechanics and Rock Engineering 49(9):3495–512, DOI: https://doi.org/10.1007/s00603-016-1012-2
Zhao G, Wang L, Zhao N, Yang J, Li X (2020) Analysis of the variation of friction coefficient of sandstone joint in sliding. Advances in Civil Engineering 2020:1–12, DOI: https://doi.org/10.1155/2020/8863960
Zheng B and Qi S (2016) A new index to describe joint roughness coefficient (JRC) under cyclic shear. Engineering Geology 212:72–85, DOI: https://doi.org/10.1016/j.enggeo.2016.07.017
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This work was financially supported by the National Natural Science Foundation of China (Nos. 51934007, 51604263, 52004268).
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Liu, J., Gao, F., Xing, Y. et al. A New 3D Statistical Parameter for Determining Roughness of Joint Surfaces Considering Shear Direction and Asperity Features. KSCE J Civ Eng 27, 4978–4992 (2023). https://doi.org/10.1007/s12205-023-1522-x
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DOI: https://doi.org/10.1007/s12205-023-1522-x