|
|
|
| Study on the shear strength model of rock joints considering the influence
of non-stationary trend |
| LIU Weiming1,WANG Changshuo1,2,ZHANG Xiwei3,YONG Rui1,LUO Zhanyou1,DU Shigui1
|
| (1. Institute of Rock Mechanics,Ningbo University,Ningbo,Zhejiang 315211,China;2. The Engineering Research Center
of Rock-Soil Drilling and Excavation and Protection,Ministry of Education,China University of Geosciences(Wuhan),
Wuhan,Hubei 430074,China;3. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines,
Northeastern University,Shenyang,Liaoning 110819,China)
|
|
|
|
|
Abstract The existence of the non-stationary trend of rock joint(the angle between the rock joint and the shear plane) directly affects the accuracy of the shear strength evaluation of the rock joint specimen. The existing shear strength calculation models do not consider the influence of the non-stationary trend of rock joint and are not suitable for the calculation of the shear strength of the rock joint with non-stationary trend. To do this,this paper quantitatively characterizes the trend directions and of the rock joint( and representing the inclination angle of the rock joint along the shearing direction and the deflection angle of the rock joint perpendicular to the shearing direction). The least square fitting plane of the rock joint is taken as the reference plane,the external normal and tangential stresses are decomposed into the normal and tangential stresses of the reference plane,a shear strength model of the rock joint considering the influence of non-stationary trend is established based on this. The numerical solution of the model is calculated by numerical analysis method,and the accuracy of the numerical solution is verified by direct shear test. The research results show that the shear strength of rock joint is mainly controlled by the trend ,while the influence of the trend on the shear strength is less than 1.5%,which can be ignored in the calculation;The upper and lower error limits between the improved value of shear strength and its prototype value increase with the increase of the normal stress and the three-dimensional roughness JRC3D of the rock joint;Compared with the shear strength model without considering the influence of non-stationary trend,the accuracy of the shear strength calculated by the improved model is increased by 24.45%,23.693%,25.37% and 14.504% respectively,the proposed shear strength model can effectively evaluate the shear strength of the rock joint specimen with non-stationary trend,which lays a theoretical foundation for the evaluation of shear strength of rock joint.
|
|
|
|
|
|
| [1] 陈世江,朱万成,刘树新,等. 岩体结构面粗糙度各向异性特征及尺寸效应分析[J]. 岩石力学与工程学报,2015,34(1):57–66. (CHEN Shijiang,ZHU Wancheng,LIU Shuxin,et al. Anistropy and size effects of surface roughness of rock joints[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(1):57–66.(in Chinese))
[2] 夏才初,宋英龙,唐志成,等. 粗糙节理剪切性质的颗粒流数值模拟[J]. 岩石力学与工程学报,2012,31(8):1 545–1 552.(XIA Caichu,SONG Yinglong,TANG Zhicheng,et al. Particle flow numerical simulation for shear behavior of rough joints[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(8):1 545–1 552.(in Chinese))
[3] 夏才初,唐志成,宋英龙,等. 节理峰值剪切位移及其影响因素分析[J]. 岩土力学,2011,32(6):1 654–1 658.(XIA Caichu,TANG Zhicheng,SONG Yinglong,et al. Analysis of relationship between joint peak shear displacement and its influence factors[J]. Rock and Soil Mechanics,2011,32(6):1 654–1 658.(in Chinese))
[4] HENCHER S R,RICHARDS L R. Assessing the shear strength of rock discontinuities at laboratory and field scales[J]. Rock Mechanics and Rock Engineering,2015,48(3):883–905.
[5] 曾纪全,杨宗才. 岩体抗剪强度参数的结构面倾角效应[J]. 岩石力学与工程学报,2004,23(20):3 418–3 425.(ZENG Jiquan,YANG Zongcai. Dip effect of structural plane on shearing strength parameters of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(20):3 418–3 425.(in Chinese))
[6] 杜时贵,胡晓飞,郭 霄,等. JRC-JCS模型与直剪试验对比研究[J]. 岩石力学与工程学报,2008,27(增1):2 747–2 753.(DU Shigui,HU Xiaofei,GUO Xiao,et al. Comparison study of JRC-JCS model and direct shear test[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.1):2 747–2 753.(in Chinese))
[7] 武 雄,贾志欣,陈祖煜,等. 工程岩体抗剪强度确定综合方法——GMEM研究[J]. 岩石力学与工程学报,2005,24(2):246–251.(WU Xiong,JIA Zhixin,CHEN Zuyu,et al. Research of a synthetical method GMEM on ascertaining shear strength for engineering rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(2):246–251.(in Chinese))
[8] 向 波,周立荣,马建林. 基于岩体结构面分级的抗剪强度确定法[J]. 岩石力学与工程学报,2008,27(增2):3 547–3 552. (XIANG Bo,ZHOU Lirong,MA Jianlin. Determination method of shear strength based on classification of rock structure surface[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.2):3 547–3 552.(in Chinese))
[9] 张林洪. 结构面抗剪强度的一种确定方法[J]. 岩石力学与工程学报,2001,20(1):114–117.(ZHANG Linhong. A method for determining the shear strength of structural plane[J]. Chinese Journal of Rock Mechanics and Engineering,2001,20(1):114–117.(in Chinese))
[10] DU S G,LIN H,YONG R,et al. Characterization of joint roughness heterogeneity and its application in representative sample investigations[J]. Rock Mechanics and Rock Engineering,2022,55(6):1–25.
[11] YONG R,QIN J B,HUANG M,et al. An innovative sampling method for determining the scale effect of rock joints[J]. Rock Mechanics and Rock Engineering,2019,52(3):935–946.
[12] YONG R,YE J,LI B,et al. Determining the maximum sampling interval in rock joint roughness measurements using Fourier series[J]. International Journal of Rock Mechanics and Mining Sciences,2018,101:78–88.
[13] 杜时贵,陈 禹,樊良本. JRC修正直边法的数学表达[J]. 工程地质学报,1996,(2):36–43.(DU Shigui,CHEN Yu,FAN Liangben. Mathematical expression of JRC modified straight edge method[J]. Journal of Engineering Geology,1996,(2):36–43.(in Chinese))
[14] KULATILAKE P H S W,DU S G,ANKAH M L Y,et al. Non-stationarity,heterogeneity,scale effects,and anisotropy investigations on natural rock joint roughness using the variogram method[J]. Bulletin of Engineering Geology and the Environment,2021,80(8):6 121–6 143.
[15] ZHENG B,QI S,HUANG X,et al. An advanced shear strength criterion for rock discontinuities considering size and low shear rate[J]. Applied Sciences-Basel,2020,10(12):4 095.
[16] MURALHA J,GRASSELLI G,TATONE B,et al. ISRM suggested method for laboratory determination of the shear strength of rock joints:Revised version[J]. Springer International Publishing,2013,471(2):291–302.
[17] TATONE B S A,GRASSELLI G. A new 2D discontinuity roughness parameter and its correlation with JRC[J]. International Journal of Rock Mechanics and Mining Sciences,2010,47(8):1 391–1 400.
[18] KULATILAKE P,SHOU G,HUANG T H,et al. New peak shear-strength criteria for anisotropic rock joints[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1995,32(7):673–697.
[19] 邹宗兴,唐辉明,刘 晓,等. 制样误差对结构面直剪试验结果影响定量研究[J]. 岩石力学与工程学报,2010,29(8):1 664–1 169. (ZOU Zongxing,TANG Huiming,LIU Xiao,et al. Quantitative study of structural plane direct shear test results influenced by sample preparation errors[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(8):1 664–1 169.(in Chinese))
[20] 雍 睿,胡新丽,唐辉明,等. 岩体结构面直剪试验制样误差效应研究[J]. 中南大学学报:自然科学版,2013,44(11):4 643–4 651. (YONG Rui,HU Xinli,TANG Huiming,et al. Effect of sample preparation error on direct shear test of rock mass discontinuities[J]. Journal of Central South University:Science and Technology,2013,44(11):4 643–4 651.(in Chinese))
[21] 王昌硕. 岩体结构面粗糙度与峰值剪切强度定量评价方法研究[博士学位论文][D]. 武汉:中国地质大学,2019.(WANG Changshuo. Quantitative evaluation methods for roughness and peak shear strength of rock joints[Ph. D. Thesis][D]. Wuhan:China University of Geosciences,2019.(in Chinese))
[22] 丁林楠,柴军瑞,覃 源,等. 节理峰值剪切强度公式修正研究[J]. 应用力学学报,2021,38(2):811–817.(DING Linnan,CHAI Junrui,QIN Yuan,et al. Study on modification of peak shear strength formula of joints[J]. Chinese Journal of Applied Mechanics,2021,38(2):811–817.(in Chinese))
[23] WU L Z,LUO X H,LI S H. A new model of shear creep and its experimental verification[J]. Mechanics of Time Dependent Materials,2021,25(3):429–446.
[24] HE L,ZHAO Z,CHEN J,et al. Empirical shear strength criterion for rock joints based on joint surface degradation characteristics during shearing[J]. Rock Mechanics and Rock Engineering,2020,53(8): 3 609–3 624.
[25] BARTON N R,CHOUBEY V. The shear strength of rock joints in theory and practice[J]. Rock Mechanics,1977,10(1):1–54.
[26] DU S G,HU Y,HU X. Measurement of joint roughness coefficient by using profilograph and roughness ruler[J]. Journal of Earth Science,2009,(5):7.
[27] DU S G,HU Y J,HU X,et al. Comparison between empirical estimation by JRC-JCS model and direct shear test for joint shear strength[J]. Journal of Earth Science,2011,22(3):411–420.
[28] 杜时贵,黄 曼,罗战友,等. 岩石结构面力学原型试验相似材料研究[J]. 岩石力学与工程学报,2010,29(11):2 263–2 270. (DU Shigui,HUANG Man,LUO Zhanyou,et al. Similar material study of mechanical prototype test of rock structural plane[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(11):2 263–2 270.(in Chinese))
[29] OGILVIE S R,ISAKOV E,GLOVER P. Fluid flow through rough fractures in rocks. II:A new matching model for rough rock fractures[J]. Earth and Planetary Science Letters,2006,241(3–4):454–465.
[30] MYERS N O. Characterization of surface roughness[J]. Wear,1962,5(3):182–189.
[31] YANG Z Y,LO S C,DI C C. Reassessing the joint roughness coefficient(JRC) estimation using Z2[J]. Rock Mechanics and Rock Engineering,2001,34(3):243–251.
[32] 周 辉,程广坦,朱 勇,等. 基于3D雕刻技术的岩体结构面剪切各向异性研究[J]. 岩土力学,2019,40(1):118–126.(ZHOU Hui,CHENG Guangtan,ZHU Yong,et al. Anisotropy of shear characteristics of rock joint based on 3D carving technique[J]. Rock and Soil Mechanics,2019,40(1):118–126.(in Chinese))
[33] 周 辉,程广坦,朱 勇,等. 基于三维扫描和三维雕刻技术的岩石结构面原状重构方法及其力学特性[J]. 岩土力学,2018,39(2):417–425.( ZHOU Hui,CHENG Guangtan,ZHU Yong,et al. A new method to originally reproduce rock structural plane by integrating 3D scanning and 3D carving techniques and mechanical characteristics of reproduced structural planes[J]. Rock and Soil Mechanics,2018,39(2):417–425.(in Chinese))
[34] 唐志成,夏才初,宋英龙,等. 考虑基体变形的节理闭合变形理论模型[J]. 岩石力学与工程学报,2012,31(增1):3 068–3 074.(TANG Zhicheng,XIA Caichu,SONG Yinglong,et al. Joint closure deformation model based on asperity-substrate deformation[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Supp.1): 3 068–3 074.(in Chinese))
[35] WANG L,WANG C,KHOSHNEVISAN S,et al. Determination of two-dimensional joint roughness coefficient using support vector regression and factor analysis[J]. Engineering Geology,2017,231:238–251.
[36] 朱小明,李海波,刘 博,等. 含一阶和二阶起伏体节理剪切强度的试验研究[J]. 岩石力学与工程学报,2011,30(9):1 810–1 818.(ZHU Xiaoming,LI Haibo,LIU Bo,et al. Experimental study of shear strength of joints with first-order and second-order asperities[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(9):1 810–1 818.(in Chinese))
[37] 陈世江,朱万成,张敏思,等. 基于数字图像处理技术的岩石节理分形描述[J]. 岩土工程学报,2012,34(11):2 087–2 092.(CHEN Shijiang,ZHU Wancheng,ZHANG Minsi,et al. Fractal description of rock joints based on digital image processing technique[J]. Chinese Journal of Geotechnical Engineering,2012,34(11):2 087–2 092.(in Chinese))
[38] WANG W,YANG X,HUANG S,et al. Experimental study on the shear behavior of the bonding interface between sandstone and cement mortar under freeze-thaw[J]. Rock Mechanics and Rock Engineering,2020,53(2):881–907.
|
|
|
|