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Estimation of the joint roughness coefficient (JRC) of rock joints by vector similarity measures

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Abstract

Accurate determination of joint roughness coefficient (JRC) of rock joints is essential for evaluating the influence of surface roughness on the shear behavior of rock joints. The JRC values of rock joints are typically measured by visual comparison against Barton’s standard JRC profiles. However, its accuracy is strongly affected by personal bias. In the present study, a new comparison method is proposed for JRC evaluation to overcome the drawback of conventional visual comparison methods based on vector similarity measures (VSMs). The feature vectors are obtained by analyzing the angular variation of line segments of both standard JRC profiles and test profiles obtained from three kinds of natural rocks with a sampling interval of 0.5 mm. The roughness similarity degrees between test profiles and standard profiles are evaluated by the Jaccard, Dice, and cosine similarity measures. The JRC values of the test profiles are then determined according to the maximum relation index based on the similarity degrees. In the present study, a comparative analysis between the VSMs method and the JRC evaluation method using different roughness parameters demonstrated that the VSMs method is effective and accurate for JRC measurement.

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References

  • Alameda-Hernández P, Jiménez-Perálvarez J, Palenzuela JA, El Hamdouni R, Irigaray C, Cabrerizo MA, Chacón J (2014) Improvement of the JRC calculation using different parameters obtained through a new survey method applied to rock discontinuities. Rock Mech Rock Eng 47(6):2047–2060

    Article  Google Scholar 

  • Andrade PS, Saraiva AA (2008) Estimating the joint roughness coefficient of discontinuities found in metamorphic rocks. Bull Eng Geol Environ 67:425–434

    Article  Google Scholar 

  • Babanouri N, Nasab SK, Sarafrazi S (2013) A hybrid particle swarm optimization and multi-layer perceptron algorithm for bivariate fractal analysis of rock fractures roughness. Int J Rock Mech Min Sci 60:66–74

    Google Scholar 

  • Barton N (1973) Review of a new shear-strength criterion for rock joints. Eng Geol 7(4):287–332

    Article  Google Scholar 

  • Barton N (1984) Shear strength investigations for surface mining. In: 3rd International Conference on stability surface mining. Vancouver. pp 171–196

  • Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mech 10(1–2):1–54

    Article  Google Scholar 

  • Beer AJ, Stead D, Coggan JS (2002) Technical note estimation of the joint roughness coefficient (JRC) by visual comparison. Rock Mech Rock Eng 35(1):65–74

    Article  Google Scholar 

  • Boutt DF, Grasselli G, Fredrich JT, Cook BK, Williams JR (2006) Trapping zones: the effect of fracture roughness on the directional anisotropy of fluid flow and colloid transport in a single fracture. Geophys Res Lett 33(21):1–6

    Article  Google Scholar 

  • Broumi S, Smarandache F (2013) Several similarity measures of neutrosophic sets. Neutrosophic Sets Syst 1(1):54–62

    Google Scholar 

  • Brown ET (1981) Rock characterization testing and monitoring (ISRM suggested methods). Pergamon Press, Oxford, pp 119–183

    Google Scholar 

  • Chen SJ, Zhu WC, Yu QL, Liu XG (2016) Characterization of anisotropy of joint surface roughness and aperture by variogram approach based on digital image processing technique. Rock Mech Rock Eng 49(3):855–876

    Article  Google Scholar 

  • Dice LR (1945) Measures of the amount of ecologic association between species. Ecology 26:297–302

  • Du S (1994) The directive statistical evaluation of rock joint roughness coefficient (JRC). J Eng Geol 2(3):62–71 (in Chinese)

    Google Scholar 

  • Du S (1999) Engineering behavior of discontinuities in rock mass. Beijing: Seismological Press. pp. 1–23 (in Chinese)

  • Du S, Xu S, Yang S (2000) Application of rock quality designation (RQD) to engineering classification of rocks. J Eng Geol 8(3):351–356 (in Chinese)

    Google Scholar 

  • Du S, Hu Y, Hu X (2009) Measurement of joint roughness coefficient by using profilograph and roughness ruler. J Earth Sci 20:890–896

    Article  Google Scholar 

  • Fardin N, Feng Q, Stephansson O (2004) Application of a new in situ 3D laser scanner to study the scale effect on the rock joint surface roughness. Int J Rock Mech Min Sci 41(2):329–335

    Article  Google Scholar 

  • Fathi A, Moradian Z, Rivard P, Ballivy G, Boyd AJ (2016) Geometric effect of asperities on shear mechanism of rock joints. Rock Mech Rock Eng 49(3):801–820

  • Fifer-Bizjak K (2010) Determining the surface roughness coefficient by 3D scanner. Geologija 53:147–152

    Article  Google Scholar 

  • Gao Y, Ngai L, Wong Y (2015) A modified correlation between roughness parameter Z2 nd the JRC. Rock Mech Rock Eng 48(1):387–396

    Article  Google Scholar 

  • Grasselli G, Egger P (2003) Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters. Int J Rock Mech Min Sci 40(1):25–40

    Article  Google Scholar 

  • Grasselli G, Wirth J, Egger P (2002) Quantitative three-dimensional description of a rough surface and parameter evolution with shearing. Int J Rock Mech Min Sci 39(6):789–800

    Article  Google Scholar 

  • Hoek E (2000) Practical rock engineering. Rock science: Course Notes and Books https://www.rocscience.com/…/Practical-Rock-Engineering-Full-Text.pdf. Accessed 01 Nov 2015

  • Hong ES, Lee JS, Lee IM (2008) Underestimation of roughness in rough rock joints. Int J Numer Anal Meth Geomech 32(11):1385–1403

    Article  Google Scholar 

  • Hu XQ, Cruden DM (1992) A portable tilting table for on-site tests of the friction angles of discontinuities in rock masses. Bull Int Assoc Eng Geol Bulletin de l’Association Internationale de Géologie de l’Ingénieur 46(1):59–62

    Google Scholar 

  • Huang SL, Oelfke SM, Speck RC (1992) Applicability of fractal characterization and modelling to rock joint profiles. Int J Rock Mech Min Sci 29:135–153

    Article  Google Scholar 

  • Jaccard P (1901) Distribution de la flore alpine dans le Bassin des Drouces et dans quelques regions voisines; Bulletin de la Société Vaudoise des Sciences Naturelles. 37(140):241–272

  • Jang HS, Kang SS, Jang BA (2014) Determination of joint roughness coefficients using roughness parameters. Rock Mech Rock Eng 47(6):2061–2073

    Article  Google Scholar 

  • Kulatilake PHSW, Um J (1999) Requirements for accurate quantification of self-affine roughness using the variogram method. Int J Solids Struct 35(31):4167–4189

    Google Scholar 

  • Kulatilake P, Balasingam P, Park J, Morgan R (2006) Natural rock joint roughness quantification through fractal techniques. Geotech Geol Eng 24(5):1181–1202

    Article  Google Scholar 

  • Lee YH, Carr JR, Barr DJ, Haas CJ (1990) The fractal dimension as a measure of the roughness of rock discontinuity profiles. Int J Rock Mech Min Sci 27(6):453–464

    Article  Google Scholar 

  • Li Y, Huang R (2015) Relationship between joint roughness coefficient and fractal dimension of rock fracture surfaces. Int J Rock Mech Min Sci 75:15–22

    Google Scholar 

  • Maerz NH, Franklin JA, Bennett CP (1990) Joint roughness measurement using shadow profilometry. Int J Rock Mech Min Sci 27(5):329–343

    Article  Google Scholar 

  • Majumdar P, Samanta SK (2014) On similarity and entropy of neutrosophic sets. J Intell Fuzzy Syst 26(3):1245–1252

    Google Scholar 

  • Morelli GL (2014) On joint roughness: measurements and use in rock mass characterization. Geotech Geol Eng 32(2):345–362

    Article  Google Scholar 

  • Özvan A, Dinçer İ, Acar A, Özvan B (2014) The effects of discontinuity surface roughness on the shear strength of weathered granite joints. Bull Eng Geol Environ 73:801–813

  • Salton G, McGill MJ (1987) Introduction to modern information retrieval. McGraw-Hill, New York

  • Shirono T, Kulatilake PHSW (1997) Accuracy of the spectral method in estimating fractal/spectral parameters for self-affine roughness profiles. Int J Rock Mech Min Sci 34(5):789–804

    Article  Google Scholar 

  • Tang H, Yong R, Eldin ME (2016) Stability analysis of stratified rock slopes with spatially variable strength parameters: the case of Qianjiangping landslide. Bull Eng Geol Environ 1–15

  • Tatone BSA, Grasselli G (2010) A new 2D discontinuity roughness parameter and its correlation with JRC. Int J Rock Mech Min Sci 47(8):1391–1400

    Article  Google Scholar 

  • Tatone BSA, Grasselli G (2013) An investigation of discontinuity roughness scale dependency using high-resolution surface measurements. Rock Mech Rock Eng 46(4):657–681

  • Tse R, Cruden DM (1979) Estimating joint roughness coefficients. Int J Rock Mech Min Sci 16(5):303–307

    Article  Google Scholar 

  • Wu D, Mendel JM (2008) A vector similarity measure for linguistic approximation: interval type-2 and type-1 fuzzy sets. Inform Sci 178(2):381–402

    Article  Google Scholar 

  • Xia CC, Tang ZC, Xiao WM, Song YL (2014) New peak shear strength criterion of rock joints based on quantified surface description. Rock Mech Rock Eng 47(2):387–400

    Article  Google Scholar 

  • Xu HF, Zhao PS, Li CF, Tong Q (2012) Predicting joint roughness coefficients using fractal dimension of rock joint profiles. Appl Mech Mater 170–173:443–448

    Article  Google Scholar 

  • Yang ZY, Di CC, Yen KC (2001a) The effect of asperity order on the roughness of rock joints. Int J Rock Mech Min Sci 38(5):745–752

    Article  Google Scholar 

  • Yang ZY, Lo SC, Di CC (2001b) Reassessing the joint roughness coefficient (JRC) estimation using Z2. Rock Mech Rock Eng 34(3):243–251

    Article  Google Scholar 

  • Ye J (2011) Cosine similarity measures for intuitionistic fuzzy sets and their applications. Math Comput Model 53(1):91–97

    Article  Google Scholar 

  • Ye J (2012) Multicriteria decision-making method using the Dice similarity measure based on the reduct intuitionistic fuzzy sets of interval-valued intuitionistic fuzzy sets. Appl Math Model 36(9):4466–4472

    Article  Google Scholar 

  • Ye J (2014) Vector similarity measures of hesitant fuzzy sets and their multiple attribute decision making. Econ Comput Econ Cybern Stud Res 48(4)

  • Ye J (2015) Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses. Artif Intell Med 63:171–179

  • Yong R, Hu X, Tang H, Li C, Wu Q (2013) Effect of sample preparation error on direct shear test of rock mass discontinuities. J Central South Univ (Sci Technol) 11:4645–4651 (in Chinese)

    Google Scholar 

  • Yu X, Vayssade B (1991) Joint profiles and their roughness parameters. Int J Rock Mech Min Sci 28(4):333–336

    Article  Google Scholar 

  • Zhang GC, Karakus M, Tang HM, Ge YF, Zhang L (2014) A new method estimating the 2D joint roughness coefficient for discontinuity surfaces in rock masses. Int J Rock Mech Min Sci 72:191–198

    Google Scholar 

  • Zhao Z, Li B, Jiang Y (2014) Effects of fracture surface roughness on macroscopic fluid flow and solute transport in fracture networks. Rock Mech Rock Eng 47:2279–2286

    Article  Google Scholar 

  • Zimmerman RW, Bodvarsson GS (1996) Hydraulic conductivity of rock fractures. Transp Porous Media 23(1):1–30

    Article  Google Scholar 

Download references

Acknowledgements

The study was funded by National Natural Science Foundation of China (Nos. 41502300, 41427802, 41572299), Zhejiang Provincial Natural Science Foundation (No. Q16D020005). The authors appreciate the help provided by Harkiran Kaur, who made the careful English language editing on this manuscript before submitting. We are grateful to Prof. Ron Hotchkiss for his help with checking the data description.

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Authors and Affiliations

  1. Key Laboratory of Rock Mechanics and Geohazards, Shaoxing University, Shaoxing, 312000, People’s Republic of China

    Rui Yong, Jun Ye, Qi-Feng Liang, Man Huang & Shi-Gui Du

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  1. Rui Yong
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  2. Jun Ye
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  3. Qi-Feng Liang
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  4. Man Huang
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  5. Shi-Gui Du
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Correspondence to Shi-Gui Du.

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Yong, R., Ye, J., Liang, QF. et al. Estimation of the joint roughness coefficient (JRC) of rock joints by vector similarity measures. Bull Eng Geol Environ 77, 735–749 (2018). https://doi.org/10.1007/s10064-016-0947-6

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  • DOI: https://doi.org/10.1007/s10064-016-0947-6

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