基于多元拟合方程的结构面粗糙度系数JRC估算
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摘要
本文以BARTON的标准粗糙度剖面为研究对象,假定剪切方向为从左向右,量取剖面曲线长L以及"爬坡"时的倾角i_i和与倾角相对应高差h_i、面积S,把不同的因素组合在一起,用MATLAB对测得的数据进行拟合,得到用来估算结构面粗糙度系数且不依赖于结构面长度的解析方程。结果表明:剖面长度比和面积比组合得到的拟合方程较差,剖面长度比、面积比和爬坡高组合得到的方程较好;剖面长度比、倾角i_i和高差h_i三个指标的组合拟合方程最好,可很好地反映结构面粗糙度,拟合优度达97. 1%。
This paper takes the standard roughness profile of Barton as the research object. Assuming the shear direction is from left to right,the length of the profile curve( L),the dip angle( i_i) of the"climb slope" and high difference( h_i) correspond to the dip angle,the area( S) were measured. By combining different factors,MATLAB was used to fit the data and acquire analytic equation,the equation was then used to estimate the roughness coefficient of the structural plane,which is not depends on the length of the structure. The results show that ratio of the length of the profile curve and area ratio combination of fitting equation is poorer; ratio of the length of the profile curve,area ratio and high difference combination equation is better; ratio of the length of the profile curve,dip angle and high difference,the combination of the three indicators of the fitting equation is best,can well reflect the structure surface roughness,the fitting degree is 97. 1%.
This paper takes the standard roughness profile of Barton as the research object. Assuming the shear direction is from left to right,the length of the profile curve( L),the dip angle( i_i) of the"climb slope" and high difference( h_i) correspond to the dip angle,the area( S) were measured. By combining different factors,MATLAB was used to fit the data and acquire analytic equation,the equation was then used to estimate the roughness coefficient of the structural plane,which is not depends on the length of the structure. The results show that ratio of the length of the profile curve and area ratio combination of fitting equation is poorer; ratio of the length of the profile curve,area ratio and high difference combination equation is better; ratio of the length of the profile curve,dip angle and high difference,the combination of the three indicators of the fitting equation is best,can well reflect the structure surface roughness,the fitting degree is 97. 1%.
引文
[1] Hoek E. Strength of jointed rock masses[J].Geotechnique,1983,33(3):187-223.
[2]杜时贵,胡晓飞,郭霄,等. JRC-JCS模型与直剪试验对比研究[J].岩土力学与工程学报,2008,27(6):2747-2753.DU Shigui, HU Xiaofei, GUO Xiao, et al.Comparison of JRC-JCS model with direct shear test[J]. Chinese Journal of Rock Mechanics and Enginerring,2008,27(6):2747-2753.
[3]杜时贵.岩体结构面粗糙度系数研究进展[J].现代地质,1995,9(4):516-522.DU Shigui. Research progress of surface roughness coefficient of rock structure[J]. Geoscience,1995,9(4):516-522.
[4] BARTON N. Review of a new shear strength criterion for rock joints[J]. Eng Gelo,1973(7):579-602.
[5] BARTON N,CHOUBEY V. The shear strength of rock joints in the theory and practice[J]. Rock Mech,1977(10):1-54.
[6] LI Y R,ZHANG Y B. Quantitative estimation of joint roughness coefficient using statistical parameters[J].Rock Mech. Min. Sci,2015,77:27-35.
[7] ZHENG Bowen, QI Shengwen. A nes index to describe joint roughness coefficient(JRC)under cyclic shear[J]. Engineering Geology,2016(8):72-85.
[8] ZHANG Guangcheng, MURAT Karakus, TANG Huiming, et al. Estimation of Joint Roughness Coefficient from Three-Dimensional Discontinuity Surface[J]. Rock Mech Rock Eng,2017,50(6):2535-2546.
[9] LI Y R,HUANG R Q. Relationship between joint roughness coefficient and fractal dimension of rock fracture surfaces[J]. Rock Mech. Min. Sci,2015,75:15-22.
[10] JANG H S,KANG S S,JANG B A. Determination of joint roughness coefficients using roughness parameters[J]. Rock Mech. Rock. Eng,2014,47(6):2061-2073.
[11]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,2012,33(12):2508-2517.GE Yunfeng,TANG Huiming,HUANG Lei,et al.New method for characterization of three-dimensional roughness coefficient of rock mass structure[J].Chinese Journal of Rock Mechanics and Enginerring,2012,33(12):2508-2517.
[12] 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.
[13]李化,黄润秋.岩石结构面粗糙度系数JRC定量确定方法研究[J].岩土力学与工程学报,2014,33(8):3489-3497.LI Hua,HUANG Runqiu. Research of quantitative determination of the surface roughness coefficient of rock structure[J],Chinese Journal of Rock Mechanics and Enginerring,2014,33(8):3489-3497.
[14]杜时贵,陈禹,樊良本. JRC修正直边法数学表达式[J].工程地质学报,2002,10,4(2):36-43.DU Shigui,CHEN Yu,FAN Benliang. JRC modified straight-edge mathematical expression[J]. Journal of Engineering Geology,2002,10,4(2):36-43.
[15]孙辅庭,佘成学,万利台. Barton标准剖面JRC与独立于离散间距的统计参数关系研究[J].岩石力学与工程学报,2014,33(2):3539-3544.SUN Futing, SHE Chengxue, WAN Litai. The relationship between the standard profile of Barton standard profile and the statistical parameter independent of discrete spacing[J]. Chinese Journal of Rock Mechanics and Enginerring,2014,33(2):3539-3544.
[16]吉锋.一种新型的结构面起伏形态测量工具-接触打孔器的研制[C]//第三届全国岩土与工程学术大会论文集.[出版地不详]:[出版者不详],2009:113-117.JI Feng. The development of a new type of tools measuring joint surface morphology-contact hole puncher[C]//Proceedings of the Third National Geotechnical and Engineering Science Conference.[S. l.]:[s. n.],2009:113-117.
[17]杜时贵,杨树峰,姜舟,等. JRC快速测量技术[J].工程地质学报,2002,10(1):98-102.DU Shigui,YANG Shufeng,JIANG Zhou,et al. Fast measurement technology of JRC[J]. Journal of Engineering Geology,2002,10(1):98-102.
[2]杜时贵,胡晓飞,郭霄,等. JRC-JCS模型与直剪试验对比研究[J].岩土力学与工程学报,2008,27(6):2747-2753.DU Shigui, HU Xiaofei, GUO Xiao, et al.Comparison of JRC-JCS model with direct shear test[J]. Chinese Journal of Rock Mechanics and Enginerring,2008,27(6):2747-2753.
[3]杜时贵.岩体结构面粗糙度系数研究进展[J].现代地质,1995,9(4):516-522.DU Shigui. Research progress of surface roughness coefficient of rock structure[J]. Geoscience,1995,9(4):516-522.
[4] BARTON N. Review of a new shear strength criterion for rock joints[J]. Eng Gelo,1973(7):579-602.
[5] BARTON N,CHOUBEY V. The shear strength of rock joints in the theory and practice[J]. Rock Mech,1977(10):1-54.
[6] LI Y R,ZHANG Y B. Quantitative estimation of joint roughness coefficient using statistical parameters[J].Rock Mech. Min. Sci,2015,77:27-35.
[7] ZHENG Bowen, QI Shengwen. A nes index to describe joint roughness coefficient(JRC)under cyclic shear[J]. Engineering Geology,2016(8):72-85.
[8] ZHANG Guangcheng, MURAT Karakus, TANG Huiming, et al. Estimation of Joint Roughness Coefficient from Three-Dimensional Discontinuity Surface[J]. Rock Mech Rock Eng,2017,50(6):2535-2546.
[9] LI Y R,HUANG R Q. Relationship between joint roughness coefficient and fractal dimension of rock fracture surfaces[J]. Rock Mech. Min. Sci,2015,75:15-22.
[10] JANG H S,KANG S S,JANG B A. Determination of joint roughness coefficients using roughness parameters[J]. Rock Mech. Rock. Eng,2014,47(6):2061-2073.
[11]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,2012,33(12):2508-2517.GE Yunfeng,TANG Huiming,HUANG Lei,et al.New method for characterization of three-dimensional roughness coefficient of rock mass structure[J].Chinese Journal of Rock Mechanics and Enginerring,2012,33(12):2508-2517.
[12] 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.
[13]李化,黄润秋.岩石结构面粗糙度系数JRC定量确定方法研究[J].岩土力学与工程学报,2014,33(8):3489-3497.LI Hua,HUANG Runqiu. Research of quantitative determination of the surface roughness coefficient of rock structure[J],Chinese Journal of Rock Mechanics and Enginerring,2014,33(8):3489-3497.
[14]杜时贵,陈禹,樊良本. JRC修正直边法数学表达式[J].工程地质学报,2002,10,4(2):36-43.DU Shigui,CHEN Yu,FAN Benliang. JRC modified straight-edge mathematical expression[J]. Journal of Engineering Geology,2002,10,4(2):36-43.
[15]孙辅庭,佘成学,万利台. Barton标准剖面JRC与独立于离散间距的统计参数关系研究[J].岩石力学与工程学报,2014,33(2):3539-3544.SUN Futing, SHE Chengxue, WAN Litai. The relationship between the standard profile of Barton standard profile and the statistical parameter independent of discrete spacing[J]. Chinese Journal of Rock Mechanics and Enginerring,2014,33(2):3539-3544.
[16]吉锋.一种新型的结构面起伏形态测量工具-接触打孔器的研制[C]//第三届全国岩土与工程学术大会论文集.[出版地不详]:[出版者不详],2009:113-117.JI Feng. The development of a new type of tools measuring joint surface morphology-contact hole puncher[C]//Proceedings of the Third National Geotechnical and Engineering Science Conference.[S. l.]:[s. n.],2009:113-117.
[17]杜时贵,杨树峰,姜舟,等. JRC快速测量技术[J].工程地质学报,2002,10(1):98-102.DU Shigui,YANG Shufeng,JIANG Zhou,et al. Fast measurement technology of JRC[J]. Journal of Engineering Geology,2002,10(1):98-102.
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