STUDY OF RELATIONSHIP BETWEEN JOINT ROUGHNESS COEFFICIENT AND STATISTICAL PARAMETERS
WU Yuexiu1,LIU Quansheng1,2,LIU Xiaoyan1
(1. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering of Ministry of Education,Wuhan University,Wuhan,Hubei 430072,China;2. State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China)
Abstract:The previous methods for measuring joint roughness coefficient JRC are based on ten standard joint profiles,their errors are large and are disturbed by human factor. Besides,the effects of sample size which is used to scatter the rough joint profile on JRC and statistical parameters are not considered. In order to avoid the measurement error of JRC of ten standard joint profiles,size,the study is conducted from the perspective of numerical simulation of rough joint by considering the range of JRC and the effect of sample. Joint projection height is assumed to accord with the truncated normal distribution;the projection profile of joint is generated with the projection height and sample size of each segment;and rough joint with a certain trace is generated finally. According to Barton′s straight edge method,JRC is measured. Each statistical parameter is calculated;and the relationships between JRC and statistical parameters are fitted with different sample sizes. The results show that:the regression functions between JRC and RMS,CLA are linear,the regression functions between JRC and MSV,Z2,Rp,SF are exponential and the related coefficients are very large. The effect of sample size on results is significant;and it is advised that sample size should be close to the particle size of rock mass. Because that MSV,RMS and CLA can only reflect the average value of projection height of rough joint,while they cannot reflect the effect of weights of various projection heights on JRC. Therefore,it is suggested that Z2 and SF should be adopted to evaluate the value of JRC.
[1] PATTON F D. Multiple modes of shear failure in rock[C]// Proceedings of the 1st Congress of International Society of Rock Mechanics. Lisbon:[s.n.],1966:509–513.
[2] TSE R,CRUDEN D M. Estimating joint roughness coefficients[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1979,16(5):303–307.
[3] REEVES M J. Rock surface roughness and frictional strength[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1985,22(6):429–442.
[4] BARTON N,CHOUBEY V. The shear strength of rock joints in theory and practice[J]. Rock Mechanics,1977,10(1/2):1–54.
[5] BARTON N,BANDIS S. Effects of block size on the shear behaviour of jointed rock[C]// Proceedings of the 23rd U.S. Symposium on Rock Mechanics. Berkeley:[s.n.],1982:739–760.
[6] MAERS N H,FRANKLIN J A,BENNETT C P. Joint roughness measurement using shadow profilometry[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1990,27(5):329–343.
[7] YU X B,VAYSSADE B. Joint profiles and their roughness parameters[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1991,28(4):333–336.
[8] LEE Y H,CARR J R,BARR D J,et al. The fractal dimension as a measure of the roughness of rock discontinuity profiles[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1990,27(6):453–464.
[9] TURK N,GREIG M J,DEARMAN W R,et al. Characterization of rock joint surfaces by fractal dimension[C]// Proceedings of the 28th U.S. Symposium on Rock Mechanics. Rotterdam:Balkema,1987:1 223–1 236.
[10] PAL S K,CHAKRAVARTY D. Rock mass characterization using fractals[C]// Proceedings of National Conference on Nonlinear System and Dynamics. India:[s.n.],2003:217–220.
[11] WU T H,ALI E M. Statistical representation of joint roughness[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1978,15(5):259–262.
[12] 谢卫红,谢和平,赵 鹏. 分形节理粗糙度对应力状态影响的研究[J]. 岩石力学与工程学报,1998,17(3):253–258.(XIE Weihong,XIE Heping,ZHAO Peng. Study on the effect of roughness of fractal joint on stress state[J]. Chinese Journal of Rock Mechanics and Engineering,1998,17(3):253–258.(in Chinese))
[13] SEIDEL J P,HABERFIELD C M. Towards an understanding of joint roughness[J]. Rock Mechanics and Rock Engineering,1995,28(2):69–92.
[14] 胡晓飞,杜时贵. 结构面粗糙度系数Barton直边法的简明公式[J],工程地质学报,2008,16(2):196–200.(HU Xiaofei,DU Shigui. Concise formula of Barton′s straight edge method for joint roughness coefficient[J]. Journal of Engineering Geology,2008,16(2):196–200.(in Chinese))