基于分形几何理论的DFN模型构建方法研究

以重庆梁-忠（梁平县-忠县）高速公路礼让隧道为工程研究背景,通过测线法调查现场节理,获得了节理产状分布概率密度函数,并从分形几何学的角度分析了节理间距及迹长的分形分布规律,推导出能反映节理间距及迹长分布状态的分形维数D及分形分布概率密度函数。在该基础上采用Matlab软件以及Monte-Carlo随机分析方法,产生节理参数随机数,结合3DEC中最新模块离散裂隙网络(DFN)技术,建立了能反映节理裂隙分布特征的离散裂隙网络模型并验证了模型的有效性,结果表明,分形分布比负指数分布包含更多的间距、迹长分布信息,更接近于实际分布;分形维数D反映了节理间距、迹长在其变化范围内的分布特征,分形维数的大小取决于小间距、小迹长部分数量在总节理数量中的比例,为节理裂隙岩体网络模型构建提供了一种新方法。     

含预制节理岩体卸荷条件下力学特性试验研究

节理对卸荷条件下岩体的力学性质有重要影响。通过含2条不同间距预制断续节理岩体的三轴卸荷破坏试验,研究了节理岩体在卸荷应力条件下的应力-应变特征、强度、变形特征、破坏规律及节理间距对岩体力学性质的影响。研究表明：相比于完整岩体,节理岩体卸荷破坏时从峰值强度跌落至残余强度过程中轴向应变较大,为完整岩体的3～4倍,岩体破坏时极限强度明显低于完整岩体,脆性特征不如完整岩体明显;节理岩体卸荷破坏时,变形模量有较大幅度的降低,其降低程度是同条件下完整岩体的6～7倍,节理间距越大,变形模量降低程度越大;与含预制节理岩样三轴加载试验结果相比,节理岩体卸荷条件下破坏程度更为强烈,除剪切破裂面外,沿最大主应力方向分布的不同级别的张性裂隙非常发育,预制节理的间距对岩体破坏形态影响不大。     

节理岩体分形描述

研究了岩体节理产状、迹长、间距和节理数目对岩体节理网络分维的影响和节理几何参数的分维特征。结果表明,随节理发育方向、迹长、间距和节理数目的变化,岩体节理网络分维发生变化,节理间距和迹长的空间分布具有较好的分维特性,岩体节理网络分维可以作为岩体节理几何特征的定量描述指标。     

某水电站地下洞室随机块体稳定性评价及系统锚固设计

地下洞室中的随机块体是指由岩体中的随机节理或者基体裂隙构成的不确定性块体 ,在已建的地下厂房中 ,这类块体大量存在 ,这类块体的稳定性会对洞室的施工安全造成较大的影响。在设计中这类块体常常是通过系统锚杆进行加固 ,但由于块体位置随机性和几何特征的不确定性 ,使得系统锚杆的长度和间距很难确定。本文以某水电站的地下洞室为研究对象 ,在深入了解地质条件、岩体结构特点的基础上 ,找出可能构成随机节理的分布规律 ,再分析节理与节理、节理和Ⅰ、Ⅱ类确定性结构面可能的组合 ,得到可能的随机块体 ,然后采用块体理论评价其稳定性 ,得到随机块体的几何特征和稳定状况 ,总结出最优的锚杆长度 ,为地下洞室的系统锚杆长度的确定提供了理论依据     

含充填节理岩体相似材料试件单轴压缩试验及断裂损伤研究

研究了单轴压缩条件下裂隙含充填与否对节理岩体力学性能的影响。以相似材料模拟脆性岩石材料制作含预置裂隙试件,在刚性试验机上对试件进行单轴压缩试验,研究了裂隙充填与否对节理岩体强度峰值及峰后塑性变形能力的影响;用有限元软件ABAQUS对试件进行断裂及损伤分析,研究了裂隙充填与否对节理岩体应力强度因子及损伤因子的影响。研究表明,在单轴压缩情况下,裂隙中含充填与不含充填相比,裂隙含充填岩体峰值强度提高、峰后塑性变形能力增强、总应变能释放率Gc降低,增大了节理岩体抵抗开裂的能力;裂隙含充填岩体环向拉应力场从分布区域及峰值都小于无充填裂隙试件;在同样外荷载作用下,裂隙含充填岩体损伤度小于无充填岩体。     

含两组交叉贯通节理岩体的强度及破坏特征分析

天然岩体中常含有多组相互交叉的贯通节理,它们的存在极大地削弱了岩体的力学性质。为了研究含两组交叉贯通节理岩体的强度及破坏特征,基于弹塑性数值流形方法,对不同应力状态下,节理倾角和节理间距不同的岩体压缩试验进行数值模拟。结果表明：岩体强度随节理倾角的变化曲线呈现出多波峰、多波谷特点,岩体强度随节理间距变化曲线符合负指数函数形式。根据节理状态,两组节理岩体的破坏模式可以分为3种：岩块破坏、沿一组节理滑移和沿两组节理滑移。两组节理均会影响岩体强度,一组起主要作用,另一组起次要作用,并且节理组之间存在相互影响。通过对数值计算结果进行回归分析,基于一组节理岩体强度预测模型,量化节理组之间的相互影响,提出适用于含两组交叉贯通节理岩体的强度预测模型。模型形式简单,使用方便,可为实际工程中正确评估岩体强度提供指导性意见。     

节理网络模拟的程序实现及其在地下洞室中的动态响应分析

随着岩体工程的日益发展,人们愈发认识到岩体裂隙发育情况对工程影响的重要性,而岩体节理裂隙网络模拟是研究该类问题的重要手段。基于节理网络模拟结果,建立岩体力学分析模型,然后开展进一步的数值计算分析,在岩体工程中具有良好的发展前景。在岩体结构统计理论的基础上,自行编制了节理岩体裂隙网络模拟分析程序,直观再现了岩体内部的节理分布情况;将程序生成的可执行数据文件与离散元软件相融合;以含节理岩体的地下洞室为例,分别计算了静力和地震荷载作用下地下洞室围岩在不同时段的应力及位移变化情况。计算方法与结果对含节理岩体地下洞室围岩变形和破坏机制以及抗震工程设计具有指导意义     

柱状节理玄武岩岩体结构与结构面的分形研究

峨嵋山柱状节理玄武岩是西南地区分布的主要岩类。柱状节理玄武岩的原生建造、构造作用和风化卸荷对岩体结构和工程性状有较大的影响。节理裂隙影响岩体结构并劣化岩体完整性,分维数D能客观地表现岩体完整性特征,因而分析讨论柱状节理岩体节理面的分形特征,可以深层次的反映柱状节理岩体的工程地质特点。     

低延展性裂隙岩体REV存在性研究

采用自行开发的离散元软件FractureToKarst,根据国际岩石力学协会对岩石的分类,讨论了低延展性裂隙岩体典型单元体(REV)的存在性及大小,并给出确定其存在性的一般方法。根据研究结果可知,低延展性裂隙岩体REV存在的条件为裂隙平均间距在0.6 m以下,即极密间距、很密间距、密间距和中等间距裂隙岩体存在REV;裂隙平均间距大于0.6 m,即宽间距、很宽间距和极宽间距裂隙岩体不存在REV。 关键词：裂隙岩体;渗流;典型单元体(REV);离散元     

非常低延展性裂隙岩体REV存在性研究

裂隙岩体渗流问题一直是水文地质与工程地质的前沿课题之一,等效多孔介质模型是裂隙岩体渗流研究和工程应用的主要方法,此方法的重点在于裂隙岩体渗流模型即典型单元体(REV)的确定。本文采用作者自行开发的离散元软件FractureToKarst,根据国际岩石力学协会对岩石的分类,讨论了非常低延展性裂隙岩体典型单元体(REV)的存在性及大小,并给出确定其存在性的一般方法。通过研究可知,非常低延展性裂隙岩体REV存在的条件就是裂隙平均间距在0.2m以下,即极密间距、很密间距和密间距裂隙岩体存在REV。裂隙平均间距大于0.2 m,即中等间距、宽间距、很宽间距和极宽间距裂隙岩体不存在REV。     

Near-surface foundation level assessment from seismic measurements: a case study of north Jeddah City,Saudi Arabia

In this study, a comprehensive assessment on the generation mechanism, distribution characteristics, and extension rules of structure cracks was conducted by in situ monitoring and field investigation in the Chengchao Iron Mine. Structure cracks are affected by many factors, e.g., surface deformation, structure strength, occurrence position, and machine vibration. They initially occur in a structure when the strength of the structure is not enough to resist the inner strain as surface deformation increases. In contrast, increases in width and length of structure crack exert stress release in the structure and thus decrease structure deformation surrounding the crack. A great ground crack may adversely aggravate structure cracking and release the stress of surrounding rock masses. In addition, micro cracks in rock masses provide favorable conditions for the generation and extension of cracks, resulting that cracks occur in shaft walls more easily and extend towards the deeper. The initial distribution of cracks is generally consistent with such micro cracks. Subsequently, cracks in deep rock masses will extend along the strike of the mined-out area as surface deformation increases. Sensibilities to cracking of structures are changed by their different strain resistances and become stronger from bolt-shotcrete shaft, bolt-shotcrete tunnel, and brick-concrete building to brick wall. Based on distribution characteristics of cracks and wave velocity in rock masses, the overlaying strata affected by underground mining can be divided into four zones: broken zone, broken transition zone, crack generation zone, and micro deformation zone.     

缓倾岩层洞穴系统发育模式的模拟试验

为模拟洞穴系统的发生、演化及分布规律。对缓倾岩层(倾角<15°)裂隙疏散或密集及多层或单层含水层结构的模型所做的溶蚀试验表明:均匀介质含水层在平面上洞穴发育呈不均匀状况,剖面上以浅饱水带及承压含水层顶板附近洞穴较发育;在裂隙不发育或不贯通时洞穴发育受层面裂隙控制;在缓倾岩层中,洞穴发育循反倾向的方向逐渐减弱。     

APPLICATION OF FUZZY MATHEMATICS IN COMPREHANICS EVALUATION AND ENGINEERING CLASSIFICATION OF ROCK MASSES

The engineering classification of rock masses is one of the basic problems in rock mechanics .The main purpose of engineering classification of rock masses is comprehensively to evaluate rock masses ,to divide the rock masses into several proper classes and to offer guantitative data for engineering design .therefore engineering classification of rock masses is very important for engineering practice and aroused a great interest to the investigators of rock mechanics .On the basis of Bieniawski’s geomechanics classification of rock masses , a new method of engineering classification of rock masses has been proposed by means of the theory of modern fuzzy mathematics .In this classification the rock masses are evaluated on the basis of six parameters :the uniaxial compressive strength of the rock material drill core quality RQD, spacing ,orientation and condition of joints ,and ground water inflow. The rating for each parameter is determined and total rating for rock mass is specified by the method of weighted average .The rating and the weight for each parameter were considered as fuzzy variables . Therefore not only the total rating but also varying Range of total rating(or pthe membership of total rating ) are given .The randomly varying state of in situ rock masses can be described by this method of classification so that the result of comprehensively evaluating is more accurate than others . In additional, an accurate and simple evaluating method that is suitable for the engineers has been given .     

模糊集合论在岩体的综合评价和工程分类上的应用

岩体的工程分类是岩体力学的基本问题之一.岩体工程分类的主要目的是,针对不同的工程对象,对岩体进行综合评价,划分等级,区分成性质相近的类别,为工程的选点,设计提供定量的资料.同时,岩体的工程分类也是我们按不同的类型深入研究岩体的力学性质,建立相应的数学模型的基础.因此岩体的工程分类具有重要的实际意义,对它的研究日益广泛地引起了人们重视.到目前为止,已提出了不少岩体的分类法.从不同的出发点大体分为两类,(1)从岩体力学出发对岩体特性的一般性分类,例如Muller的分类等.(2)为特定的工程目的分类,例如为岩石边坡的Goodman分类法等.为隧道工程而提出的岩体分类最早是Terzaghi(1946年)的分类法.后来还有Lauffer(1958年)等人提出的分类法.     

Statistical Analysis of Anisotropic Damage of the Bukit Timah Granite

Summary This paper presents a method to analyze probabilistic anisotropic initial damage of a rock mass. A three-dimensional geometric model of cracks in a rock mass is established in terms of several parameters, such as orientations, spacing and normalized sizes of cracks in the rock mass. The dip, dip direction, spacing, and normalized size of cracks of the Bukit Timah granite in Singapore were obtained from visual inspection of rock cores, color TV imaging, and impression packer tests in the boreholes at a site of geological investigation. Using the measured data, probabilistic distribution laws of geometric parameters of cracks on the surface of the boreholes are derived. Based on these statistical distributions and using Monte-Carlo simulation method, the distribution of anisotropic initial damage of the Bukit Timah granite is derived and found to have a beta distribution. This anisotropic initial damage distribution of a rock mass can be used in probabilistic analysis of rock mass responses to both static and dynamic loads.     

含顺层断续节理岩质边坡地震作用下的破坏模式与动力响应研究

基于二维颗粒流软件PFC2D的人工合成岩体技术（SRM）,研究了岩桥倾角和节理间距不同组合形式的含顺层断续节理岩质边坡在地震作用下的破坏模式与动力响应规律。研究结果显示：在地震动力作用下,含单潜在滑动面的顺层断续节理岩质边坡呈现出滑移-倾倒的混合破坏特征,含多潜在滑动面的顺层断续节理岩质边坡则主要发生倾倒破坏;由顺层断续节理以及岩桥交替连接所组成的潜在滑动面是控制边坡动力稳定性的关键因素。在地震动力作用下,最靠近坡脚的岩桥段首先萌生翼裂纹,使得拉应力得到释放,随后各节理相继萌生裂纹并扩展、贯通,最终导致坡体发生阶梯状整体失稳。裂纹扩展受顺层断续节理控制,萌生裂纹中以张拉裂纹为主,且裂纹数量与输入地震波的加速度曲线具有同步性。另一方面,节理面的存在对边坡动力响应产生明显影响,沿坡表以及沿水平方向上的峰值速度、峰值位移随着岩桥倾角的增大、节理间距的减小而增大,同时节理间距和岩桥倾角对于峰值加速度（PGA）放大系数的影响范围主要集中在坡表、坡肩;沿竖直方向上,峰值位移随着岩桥倾角、节理间距的增大而减小,PGA放大系数曲线随高程变化总体呈现U型分布特征。     

高水压下岩体裂纹扩展的渗流-断裂耦合机制与数值实现

采用渗流力学、断裂力学理论结合Monte Carlo方法描述岩体裂纹的随机分布,研究高水压作用下岩体原生裂纹的变形和翼形裂纹的萌生、扩展、贯通的渗流-断裂耦合作用机制,建立高水压作用下岩体裂纹的渗流-断裂耦合数学模型,给出该数学模型的求解策略与方法,在Fortran95平台下开发高水压下岩体裂纹扩展的渗流-断裂耦合分析程序HWFSC.for。高水压下岩体裂纹扩展的渗流-断裂耦合体现在岩体裂纹网络和渗流初始条件都随渗流时步变化。对高压注水岩体裂纹扩展过程进行渗流-断裂耦合分析。结果表明,高压注水条件下,岩体裂纹扩展存在起动水压力,当水压力大于起动水压力时,裂纹尖端开始萌生翼形裂纹,随着裂纹水压力的增加,翼形裂纹扩展,进而与其他裂纹搭接贯通,停止扩展。渗流-断裂耦合分析考虑了裂纹动、静水压力对裂纹产生的法向扩张效应及翼形裂纹的扩展而形成新的渗流通道两方面的影响,连通裂纹数随渗流的发展而增加。岩体裂纹的渗流-断裂耦合分析,能较真实地再现岩体裂纹的水力劈裂现象,描述岩体裂纹的扩展、贯通过程及与之相耦合的渗流响应。     

Propagation Characteristics of Blasting Stress Waves in Layered and Jointed Rock Caverns

The existence of joint fissures makes explosive actions between rock masses more complex. Therefore, it is of great significance to carry out experiments studying blasting stress waves propagating in jointed rock masses. Based on the Froude Similarity principle, the geological mechanical models of intact rock masses and jointed rocks have been proposed. A blasting vibration experiment was carried out and demonstrated that the propagation of the blasting stress waves and changing structures have an important relationship. A numerical simulation of the blasting stress wave propagation law in a layered jointed rock mass was carried out. This study found that with an increase in the joint angle, the peak velocity of blasting stress wave, transmission coefficient and reflection coefficient all gradually increased, while the attenuation coefficient gradually decreased. With an increase in joint spacing, the attenuation rate of the blasting stress waves increased.     

岩体裂隙扩展过程的数值模拟

本文根据断裂力学理论及节理岩体的等效连续模型,探讨了岩体裂隙扩展过程的数值模拟方法,文末算例说明了方法的有效性。     

A Numerical Study on Wave Transmission Across Multiple Intersecting Joint Sets in Rock Masses with UDEC

This paper presents a numerical study on wave transmission across jointed rock masses with UDEC, where multiple intersecting joint sets exist. The capability of UDEC of studying wave transmission across rock joints is validated through comparison with analytical solutions and experimental data. Through parametric studies on wave transmission across jointed rock masses, it is found that joint mechanical and spatial parameters including joint normal and shear stiffnesses, nondimensional joint spacing, joint spacing ratio, joint intersecting angle, incident angle, and number of joint sets together determine the wave transmission. And for P wave incidence, compared with other parameters, joint normal stiffness, nondimensional joint spacing, and joint intersecting angle have more significant effects on wave transmission. The physical reasons lying behind those phenomena are explained in detail. Engineering applications and indications of the modeling results are also mentioned.