岩石节理粗糙度系数的分形特征

岩石节理粗糙度系数JRC是估算节理抗剪强度和变形指标最重要的参数。通过对简易纵剖面仪获取的节理表面轮廓曲线的分形研究,讨论了节理表面轮廓曲线的自相似性和JRC的自相似性,并根据实测统计资料的分析,指出了分形理论研究JRC的适用条件和有效的使用方法。由实测统计资料的JRC尺寸效应自相似性分析,认为JRC尺寸效应具分形结构。本文介绍了一种确定JRC尺寸效应分维数D的方法,由此确定的分维数D具有明确的物理意义。     

JRC分形估测方法的实用性

基于分形几何的码尺法分维数与岩石节理粗糙度系数的物理意义剖析，认为Ｄ－ＪＲＣ之间不存在必然的相关性．分析标准轮廓曲线的分维数，发现其分维数差级微小，难以实行粗糙度系数分级．根据实测资料阐述了岩石节理表面轮廓曲线的“自相似”是统计意义而不是绝对的，它要求ＪＲＣ分形估测应统计求取，而过繁的分维数测量步骤削弱了ＪＲＣ的分形统计估测的可行性．建立在实测资料统计分析基础上的ＪＲＣ尺寸效应分形模型ＪＲＣｎ＝ＪＲＣ０（Ｌｎ／Ｌ０）－Ｄ客观而真实地刻画了粗糙度系数随取样长度增大而降低的规律，其中，ＪＲＣ尺寸效应分维数（Ｄ）具明确的物理意义，它描述了ＪＲＣ随结构面规模增大而降低的衰减速率．最后，运用ＪＲＣ尺寸效应分维数（Ｄ）探讨了岩石节理粗糙度系数尺寸效应的各向异性规律．     

不同粗糙度的节理直剪颗粒流分析

利用二维颗粒流程序生成5种不同粗糙程度的节理模型,并对5种节理模型进行了5种不同法向恒定荷载作用下的直剪试验,从细观角度分析了不同粗糙程度的节理模型在法向荷载下的形貌损伤情况和裂纹演化机制。与此同时,分析了节理JRC值和节理面颗粒摩擦系数对节理抗剪强度影响,并反推出了节理面抗剪强度参数Cj与?j与JRC值的关系。结果为：法向恒定荷载越大时,节理峰值抗剪应力越大,剪胀现象越小,节理形貌损伤范围越大。随着剪切的进行,上下节理面接触范围减小,微裂纹开始主要沿节理面产生,随着剪切位移的继续增加微裂纹数量显著增加,并且不局限于节理面附近而深入到模型内部。随着节理粗糙程度（JRC值）和节理面颗粒摩擦系数的增加节理峰值抗剪应力也增大。节理抗剪强度参数Cj与?j随着JRC值的增大而增大。所得结果可以为室内试验和工程应用提供参考和依据。     

一种新型粗糙节理面随机强度模型及其应用

天然岩体在长期地质作用下会生成各种节理裂隙等不连续面,而地下工程结构的稳定性一般取决于这些不连续面的强度。在众多因素中,表面形态对岩石节理面剪切强度具有决定性影响。为了系统研究岩石节理面剪切强度的确定方法,把岩石节理面概化为一系列高度不同的微长方体凸起组成的粗糙表面结构,且微长方体凸起有剪胀破坏和非剪胀破坏两种模式。综合微长方体凸起破坏规律,应用概率密度函数描述节理面表面起伏分布的影响,建立了粗糙节理面随机强度模型,推导了节理面剪切强度理论公式,提出了节理面强度的随机评价方法。基于随机强度模型和评价方法编制Matlab计算程序计算自然粗糙节理面的剪切强度,并将计算结果与试验结果进行比较分析。研究表明:粗糙节理面随机强度模型综合了粗糙节理面表面形态和法向应力对节理剪切强度的影响机制,理论计算值与试验数据吻合良好,可以较好的评价粗糙节理的峰值剪切强度和残余剪切强度。该随机模型可作为进一步深入研究的重要基础,分析结构面的连续剪切过程,建立更完善的节理面强度模型。     

峰前循环剪切作用下岩石节理剪切力学特性

微震、工程爆破等低应力循环剪切荷载作用对节理岩体工程失稳破坏具有重要影响。为研究峰前循环剪切加卸载作用下岩石节理剪切力学特性,采用RDS-200型岩石节理剪切试验系统对人工劈裂黄砂岩节理进行了峰前循环剪切下的直剪试验。通过与未进行峰前循环剪切加卸载时岩石节理力学参数预测值对比,得到峰前循环剪切加卸载作用对峰前剪切刚度、峰值剪切强度、峰值剪切位移与残余剪切强度的影响。结果表明：（1）峰前循环剪切加卸载后,当法向应力为2 MPa时,岩石节理峰前剪切刚度增大,当法向应力为4～10 MPa时,岩石节理峰前剪切刚度在循环剪切应力幅值范围内增大,在超出循环剪切应力幅值时减小;（2）峰前循环剪切加卸载后,峰值剪切强度降低了10%～20%,降低百分比随法向应力增大整体呈对数函数增大;峰值剪切位移增加了2%～40%,增加百分比随法向应力增大整体呈对数函数减小;（3）峰前循环剪切加卸载后,岩石节理残余剪切强度无明显变化,峰值剪切强度与残余剪切强度差值减小,峰后剪切应力做功损失百分比降低。     

基于多重分形特征的岩体结构面剪切强度研究

Barton剪切强度模型是目前工程实践中普遍采用的强度公式,而实践应用时,该模型中结构面粗糙性系数（JRC）的评估存在主观性和片面性的缺点。鉴于此,应用多重分形理论,提出了采用多重分形参数准确量化JRC的方法。首先应用数字图像处理技术获取了结构面三维形貌数据信息;然后采用投影覆盖法进行了结构面的分形维数计算,重点对结构面的多重分形特征进行了分析,通过对比分析了构造的15个结构面的多重分形特征值。结果表明：结构面越粗糙,多重分形特征参数 和 值越大, 或 能够很好地描述结构面的形貌特征。最后对9组石膏试件进行了剪切试验,通过不同正应力下对应的剪应力数据分析,结合结构面形貌多重分形参数 或 ,以Barton剪切强度公式为基础,应用最小二乘法原理,给出了JRC与 及JRC与 关系。这样在工程实际中,可以用参数 或 对JRC进行估算,克服了JRC人为估值主观性及采用二维标准轮廓线评估片面性的缺点,为准确评估结构面粗糙度提供了一条新的途径。在此基础上,应用Barton模型可准确估算岩体结构面的剪切强度。     

充填物性质影响结构面剪切特性试验研究

通过自主研发的煤岩剪切-渗流耦合试验装置,开展了无充填结构面和充填石膏、岩屑、黄泥结构面的剪切试验。利用三维光学扫描技术,研究了结构面的三维形貌特征和裂隙开度演化。结果表明：充填结构面的峰值剪应力和法向位移由充填石膏、岩屑到黄泥依次递减,受充填物强度影响较大;无充填结构面由于直接接触,剪切后表面发生明显磨损,结构面粗糙度系数（JRC）整体减小且变化最为显著,充填石膏和岩屑结构面的JRC变化次之,充填黄泥结构面几乎没有变化;充填物破坏和结构面磨损主要受裂隙开度演化和局部应力集中的影响。随着剪切位移的增大,在裂隙开度较小的区域,应力分布较大,充填物易沿此处破碎,无充填结构面沿此处严重磨损。     

基于孔内影像的岩石节理粗糙度特征研究

目前对岩石结构表面粗糙度的研究往往只局限于地表,难以反映深部岩石节理粗糙度的特征。钻孔孔壁上节理轮廓线包含有三维信息的特点,本文开展了基于数字钻孔摄像技术的岩石节理粗糙度分形特征的研究,利用数字钻孔摄像系统获取地下深度岩石节理全景图,采用边缘检测技术从全景图中提取出节理轮廓线,对其进行空间变换和视距离变换得到地下岩石节理粗糙表面轮廓线的真实状况。与Barton提出的10条标准剖面曲线进行对比得到每条轮廓线的JRC值,并计算其分形维数,根据最小二乘法原理拟合出JRC与分形维数之间的关系为:(D)=JRC=-541.9x2+1362x-818.53。本文研究内容为描述地下深部天然节理的结构及其特征提供了基础,对更深入地研究地下深部岩石节理的表面空间状况有重要的意义。     

锚固节理直剪力学行为的颗粒流数值分析

为探究锚固节理在直剪加载作用下的细观力学响应,利用颗粒流数值计算方法建立不同锚固角度下的锚固节理数值模型,并进行不同法向荷载下的直剪试验。之后,通过分析和对比剪切-位移曲线和峰值剪切强度来对锚固节理宏观力学性质进行研究。与此同时,基于微裂纹分布规律,从细观角度揭示了剪切荷载下不同锚固角度的岩石节理面的破坏特征;研究结果显示。（1）不同于非锚固节理,锚固节理的剪切-位移曲线在剪切后期呈现出一定的增长趋势,且粗糙度不同曲线变化特征存在一定的差异。（2）不同锚固角度下,锚固节理的破坏模式存在着较为明显的差异。当锚固角为90°时,锚固节理模型的破坏主要集中于锚杆与上下节理面接触位置,且破坏主要为挤压式破坏。随着锚固角度的减小,接触位置的破碎区域不断减小,节理破坏主要表现为沿着锚杆的轴向拉伸变形破坏及内部的拉伸破坏。（3）锚固角度的变化对锚固节理的抗强度的影响程度与节理面的粗糙度存在一定关联。具体而言,较为平直节理抗剪强度随着锚固角度的增大,增长趋势明显,而粗糙节理面随着锚固角度的增大峰值抗剪强度的变化趋势相对较为平缓。     

不同节理粗糙度类岩石材料三轴压缩力学特性试验研究

粗糙度是影响节理岩体强度与变形特性的重要因素之一。首先使用3D 打印机制作模具,并浇筑形成不同粗糙度（节理粗糙度系数JRC=2、7、12、17、22）的节理岩石试样。采用GCTS高温高压动静岩石三轴试验系统,对含有不同粗糙度节理岩石试样进行了三轴压缩试验,获得了不同粗糙度节理岩石试样的三轴应力–应变曲线,分析了JRC对岩石三轴强度和变形特性的影响规律,在三轴加载过程中采用声发射测试系统,分析了不同粗糙度节理岩石试样的声发射特性。运用数字三维视频显微系统观察节理面形态,讨论了不同围压下节理岩石试样峰值强度与JRC之间的关系。研究结果表明,节理面的存在直接导致节理岩石试样强度的大幅度降低,JRC对岩石破坏裂纹的形态、数量和空间分布特征亦有很大的影响,随着JRC值的增大,岩石节理面的抗剪强度增大,岩石试样的三轴抗压强度也会增大,岩石试样由脆性破坏转变为延性破坏。     

Importance of Tensile Strength on the Shear Behavior of Discontinuities

In this study, the shear behavior of discontinuities possessing two different rock wall types with distinct separate compressive strengths was investigated. The designed profiles consisted of regular artificial joints molded by five types of plaster mortars, each representing a distinct uniaxial compressive strength. The compressive strengths of plaster specimens ranged from 5.9 to 19.5 MPa. These specimens were molded considering a regular triangular asperity profile and were designed so as to achieve joint walls with different strength material combinations. The results showed that the shear behavior of discontinuities possessing different joint wall compressive strengths (DDJCS) tested under constant normal load (CNL) conditions is the same as those possessing identical joint wall strengths, but the shear strength of DDJCS is governed by minor joint wall compressive strength. In addition, it was measured that the predicted values obtained by Barton’s empirical criterion are greater than the experimental results. The finding indicates that there is a correlation between the joint roughness coefficient (JRC), normal stress, and mechanical strength. It was observed that the mode of failure of asperities is either pure tensile, pure shear, or a combination of both. Therefore, Barton’s strength criterion, which considers the compressive strength of joint walls, was modified by substituting the compressive strength with the tensile strength. The validity of the modified criterion was examined by the comparison of the predicted shear values with the laboratory shear test results reported by Grasselli (Ph.D. thesis n.2404, Civil Engineering Department, EPFL, Lausanne, Switzerland, 2001). These comparisons infer that the modified criterion can predict the shear strength of joints more precisely.     

Investigation of the acoustic emission characteristics of artificial saw-tooth joints under shearing condition

Shear failure of rockmass along a weak plane occurs frequently in rock slopes and in underground tunnels. To study the shear behaviour and acoustic emission (AE) characteristics of joints under different experimental conditions (asperity height, shear rate, and normal load), irregular artificial saw-tooth joints with different asperity heights were sheared in the laboratory, and the AE signals were detected and analysed. The results demonstrated that the strength of the joints increased with increases in normal load and asperity height, while the strength of the joints first increased and then decreased when the shear rate was elevated. The ideal curve of the cumulative hits could be divided into a quiet period, a slow rise period, and a sharp growth period, which could be used to monitor and predict the potential shear failure of the joints. The higher the asperity was, the higher the peak energy rate and the lower the peak hit rate, and cumulative hits at failure were because of differences in asperity size and number. The peak hit rate and cumulative energy tended to increase gradually with the decrease in shear rate, and the minimum peak hit rate and energy rate at failure were both attained at the maximum shear rate. In addition, curves of the energy rate and hit rate showed large fluctuations at higher shear rates. The peak energy rate and cumulative energy under low normal stress could be greater than the peak energy rate and cumulative energy under high normal stress, and the peak hit rate and cumulative hit number under high normal stress could be larger than that of under low normal stress.     

估算岩石断裂面粗糙度的一种分形模型

提出了一种更为简单的估算岩石断裂面粗糙度值的分形模型,可用来模拟岩石断裂面剖面线。断裂面愈粗糙,其分维值也愈大,并建立了分维值与ＪＲＣ值之间的经验方程。     

Alternative approaches for analyses of a 100,000 m<Superscript>3</Superscript> rock slide based on Barton–Bandis shear strength criterion

A data set was derived for the Åknes rock slope, Norway, with the main focus on deriving input parameters for the Barton–Bandis shear strength criterion. Back-calculations of a 100,000 m³ rock slide were performed for evaluation of the data set. The limit equilibrium analysis showed that the joint roughness coefficient (JRC) has the greatest effect on the calculated safety factor of the slide. Probabilistic computations showed that the JRC stands out as the most important contributor to the total uncertainty over the whole set of variables and that the computed failure probability of the 1960 slide was very high, which may be interpreted that the input variables and the Barton–Bandis shear strength criterion are reasonable for the slide. JRC was measured on 0.25 m scale and on 1 m scale. The results from the two scales were different.     

不同边界条件下剪切速率对类岩石节理剪切力学特性的影响

为研究不同边界条件下剪切速率对岩石节理剪切力学特性的影响,采用RDS-200型岩石节理剪切试验系统对人工浇筑的具有相同节理形貌的不规则水泥节理试样进行了常法向应力和常法向刚度2种边界条件下5种剪切速率的直剪试验。结果表明：（1）常法向应力边界条件下,随剪切速率增大,相同法向应力下的类岩石节理峰前剪切刚度减速增大,峰值剪切强度和残余剪切强度呈对数降低;随剪切速率增大,类岩石节理黏聚力减速增大,内摩擦角呈对数降低。（2）常法向刚度边界条件下,随剪切速率增大,相同法向应力的类岩石节理峰前剪切刚度减速增大,峰值剪切强度呈对数降低,较高法向应力下的残余剪切强度先增大后减小;随剪切速率增大,类岩石节理黏聚力呈对数降低,内摩擦角减速增大。（3）与常法向应力边界条件相比,常法向刚度条件下,节理黏聚力平均增加了115.85%,内摩擦角平均降低了8.44%;相同初始法向应力和剪切速率下,峰前剪切刚度、峰值剪切强度和残余剪切强度分别平均增加了11.96%、19.47%和32.32%,峰值法向位移平均降低了40.12%。该研究结论可为不同剪切速率下地表和地下工程岩体节理的剪切失稳评价提供一定参考。     

Underestimation of roughness in rough rock joints

Numerous studies have been made to improve Barton's shear strength model for the quantification of rock joints. However, in these previous studies, the roughness and shear strength of the rock joint have been underestimated especially for relatively high undulated profiles (joint roughness coefficient (JRC) >14). The main factors of roughness underestimation in rough rock joints are investigated for the proper quantification of rock joint roughness. The aliasing effect and the roughness characteristics are analyzed by using artificial joint profiles and natural rock joint profiles. A 3D camera scanner is adopted to verify the main source of underestimation when using conventional measurement methods. Shear strength tests are carried out by using two types of shear apparatus to study the roughness mobilization characteristics, which may also affect the roughness underestimation. The results of joint roughness assessment, such as aliasing and undulation of waviness, show that the roughness can be underestimated in relatively rough joint profiles (JRC>14). At least two components of roughness parameters are needed to properly represent the joint roughness, for example, the amplitude and the inclination angle of joint asperity. Roughness mobilization is affected by both the normal stress and the asperity scale. Copyright © 2008 John Wiley & Sons, Ltd.     

含二阶起伏体的模拟岩体节理试样剪切特性试验研究

利用规则的小尺寸锯齿构造二阶起伏体,对不同二阶起伏体高度的人工节理进行常法向应力下的直剪试验,研究了节理剪切力学特性。对节理的剪切强度、变形特征进行了分析,并对破坏特征做出解释。试验结果表明：二阶起伏体对节理剪切力学特性有重要影响,含二阶起伏体节理的剪切力学特性与只含有一阶起伏体节理的剪切力学特性不同,只含一阶起伏体的节理剪应力只有一个峰值,含二阶起伏体的节理会出现波浪状的剪胀曲线和多峰值剪应力,且峰值剪应力随剪切位移增大依次出现并逐个减小;随着二阶起伏体高度增大,节理峰值剪切强度增大,节理依次出现磨损破坏、多次性剪断破坏、一次性剪断破坏。     

Asperity Degradation and Damage in the Direct Shear Test: A Hybrid FEM/DEM Approach

Summary This paper investigates the processes of joint surface damage and near-surface intact rock tensile failure using a hybrid FEM/DEM code. Selected Barton and Choubey JRC profiles were simulated in direct shear tests and the surface damage mechanisms investigated in terms of joint surface wear or tensile fracturing of intact rock along the joint plane. Shear strength and displacement profiles for each joint profile are numerically simulated. Numerical results agree closely with published experimental observations. Furthermore, results show that dilation along the joint is controlled dominantly by the joint surface geometry and the applied normal stress. Significant dilation is expected to occur where there is a large asperity provided the applied normal stress is low. In this case, joint surface damage is limited to surface wear. In contrast, when the applied normal stress is high, dilation will be low and damage is composed of both surface wear and asperity breakage through near-joint-surface intact rock tensile failure. Local joint dilation angles vary in proportion to the magnitude of the dilation. Several joint profiles with different geometrical configurations were simulated within a slope and the possible modes of joint surface damage were investigated. It was found that due to low normal stresses acting on the joint surfaces within a slope the dominant mode of joint surface damage is by yielding and surface wear of asperities. Authors’ address: Amir Karami, Golder Associates Ltd., 4260 Still Creek Drive, Suite 500, Burnaby, Vancouver, British Columbia, BC V5C 6C6 Canada     

节理倾角对黄土力学特性影响试验研究

黄土节理种类多样、角度多变,是影响黄土力学性质的重要因素。为研究节理对黄土力学性质影响,开展含预制节理黄土试样单轴与三轴压缩强度试验,分析了非贯通节理对试样剪切破坏模式影响,探讨了节理倾角对黄土强度与变形特性影响规律。结果表明:节理试样剪切破坏均为压剪破坏,破坏模式可分为节理面与破裂面贯通型和节理面与破裂面斜交型,压力作用下非贯通节理尖端翼裂纹和次生裂纹不断萌生,易劣化扩展形成剪切破裂面;节理存在弱化了试样抗变形能力,单轴压缩条件下试样应力-应变曲线均呈应变软化型,预制节理降低屈服阶段变形模量,减小试样剪切破坏位移,加速试样剪切破坏;节理存在显著降低黄土强度,峰值强度与残余强度均随节理倾角呈现先减小后增大变化趋势,但变化幅度随围压增大而降低,黏聚力随节理倾角变化最为敏感,节理倾角60°时试样强度指标最低;预制节理倾角与黄土试样剪切破裂角越接近,节理面越易劣化贯通为剪切破裂面,试样抗变形能力越差,强度性质劣化越显著,试样越容易剪切破坏。研究成果为揭示黄土节理界面劣化对黄土边坡促滑机制提供参考。     

Numerical Investigations of the Dynamic Shear Behavior of Rough Rock Joints

The dynamic shear behavior of rock joints is significant to both rock engineering and earthquake dynamics. With the discrete element method (DEM), the dynamic direct-shear tests on the rough rock joints with 3D (sinusoidal or random) surface morphologies are simulated and discussed. Evolution of the friction coefficient with the slip displacement shows that the 3D DEM joint model can accurately reproduce the initial strengthening, slip-weakening, and steady-sliding responses of real rock joints. Energy analyses show that the strengthening and weakening behavior of the rock joint are mainly attributed to the rapid accumulation and release of the elastic energy in the joint. Then, effects of the surface roughness and the normal stress on the friction coefficient and the micro shear deformation mechanisms, mainly volume change and asperity damage, of the rock joint are investigated. The results show that the peak friction coefficient increases logarithmically with the increasing surface roughness, but decreases exponentially with the increasing normal stress. In addition, the rougher rock joint exhibits both higher joint dilation and asperity degradation. However, high normal stress constrains the joint dilation, but promotes the degree of asperity degradation significantly. Lastly, the effects of the 3D surface morphology on the shear behavior of the rock joint are investigated with a directional roughness parameter. It is observed that the anisotropy of the surface roughness consequently results in the variation of the peak friction coefficient of the joint corresponding to different shearing directions as well as the micro shear deformation mechanisms, e.g., the extent of joint dilation.