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1.
Analytical and Numerical Study on the Pillar Rockbursts Mechanism   总被引:3,自引:1,他引:3  
Summary. Based on cusp-type catastrophe theory, a sample rock–rock model for studying the pillar rockburst mechanism is presented in this paper. It is shown that the stiffness ratio, K, of the roof and floor to the pillar plays an important role in the outbreak of instability. Additionally, simple formulae for the deformation jump and the energy release are derived. Based on the assumption that there exists a proportional relationship between the number of microseismic events and microfractured elements, the theoretical microseismic event rate produced by the double rock sample, loaded in series under uniaxial compression, is obtained. Using a newly developed numerical code, RFPA2D, the progressive failure process and associated microseismic behavior of the twin rock samples are simulated, which shows that the spatial distribution of microseismic events develops progressively from disorder at the initial loading stage to order prior to the main shock. The numerically simulated results also confirm that a soft roof and floor promote an unstable failure or collapse of pillars, while a stiff roof and floor can lead to a stable failure of pillars. Additionally, the simulated results reproduce the deformation jump and the energy release that occur during a pillar rockburst. It is demonstrated that the proposed model properly simulates the pillar failure process.  相似文献   

2.
高地应力区地下岩体工程开挖常形成围岩拉-压应力状态,发生岩体张性破坏灾害。本文针对传统PFC平行黏结模型不能模拟脆性岩石高单轴压缩与拉伸强度比的问题,建立双抗拉强度参数的平行黏结强度准则,开展岩石拉-压数值模拟试验,得到了与物理试验接近的拉-压强度,实现了岩石高压拉强度比的模拟,并深入分析了破坏机制。研究结果表明随着围压的增加,破裂面倾角逐渐增大,由拉伸破裂转化为拉-剪破裂,发现了拉-压应力状态下破裂面处的雁行裂纹。根据细观颗粒位移场揭示了破裂面力学性质,随着围压的增加(破裂面倾角逐渐增大),破裂面张性逐渐减弱而剪性增强。可将拉-压应力状态下岩石损伤演化过程大致分为弹性变形阶段、稳定破裂发展阶段、不稳定破裂发展阶段和整体破裂阶段(峰后应力跌落及残余阶段)。围压较大时弹性变形和稳定破裂发展阶段相对较短,不稳定破裂发展阶段相对较长较剧烈,峰后残余阶段破裂面摩擦更强、应力波动较大。  相似文献   

3.
考虑塑性应变率梯度的单轴压缩岩样轴向响应   总被引:9,自引:7,他引:2  
基于剪切应变率梯度格式,采用解析方式研究了岩石材料在单轴压缩条件下的应变软化的结构响应。根据非局部连续介质模型,提出了一维二阶剪切应变率梯度格式。非局部剪切应变率与局部剪切应变率及其二阶梯度有关。将经典塑性理论中的局部剪切应变率替换为非局部剪切应变率,可以直接得到局部剪切应变率的封闭解析解,而不必通过将局部剪切应变对时间求导获得。通过对局部剪切应变率积分,得到了沿剪切带方向的相对剪切速度。试件峰值强度后的端部速度由弹性及塑性两部分构成。前一部分由虎克定律描述;后一部分与相对剪切速度有关。对弹性及塑性两部分速度求和,得到了单轴压缩岩样剪切破坏问题轴向响应的解析式。研究表明:试样高度越大、内部长度越小、剪切软化模量越大及泊松比越小,则岩样的轴向响应倾向于脆性。根据岩样与矿柱的相似性,岩样响应倾向于脆性,意味着矿柱将失去稳定性,发生矿柱岩爆。目前的基于剪切应变率梯度格式的主要优点是简洁。  相似文献   

4.
杨宇江  李元辉 《岩土力学》2013,34(Z1):324-330
利用有限差分程序FLAC建立连续和并排的两类非均质矿柱模型,对矿柱在动力载荷循环作用下的破坏过程进行全时程动力分析。将加卸载响应比(LURR)理论引入矿柱动力稳定性分析中,以施加的动力载荷对矿柱作用的周期性变化作为加载量,以矿柱特征点的位移变化和破坏单元的弹性应变能的演化规律作为响应参数,建立矿柱的加卸载响应比模型,确定矿柱在动力载荷作用期间的加卸载响应比时间序列。计算结果表明,矿柱整体上处于稳定状态和趋于失稳时,其加卸载响应比Y值表现出不同的特征,通过对Y值的分析对矿柱的稳定状态进行评价,预测是否临近峰值承载能力,表明在矿柱动力破裂过程数值模拟分析中引入加卸载响应比是矿柱破坏力学行为研究的一种方便而有效的方法。  相似文献   

5.
A FORTRAN program, consistent with the commercially available finite element (FE) code ABAQUS, is developed based on a three-dimensional (3D) linear elastic brittle damage constitutive model with two damage criteria. To consider the heterogeneity of rock, the developed FORTRAN program is used to set the stiffness and strength properties of each element of the FE model following a Weibull distribution function. The reliability of the program is assessed against available experimental results for granite cylindrical specimens with a throughgoing, flat and inclined fissure. The calibration procedure of the material parameters is explained in detail, and it is shown that the compressive to tensile strength ratio can have a substantial influence on the failure response of the specimens. Numerical simulations are conducted for models with different levels of heterogeneity. The results show a smaller load bearing capacity for models with less homogeneity, representing gradual coalescence of fully damaged elements forming throughout the models during loading. The maximum load bearing capacity is studied for various combinations of inclination angles of two centrally aligned, throughgoing and flat fissures of equal length embedded in cylindrical models under uniaxial and multiaxial loading conditions. The key role of the compressive to tensile strength ratio is highlighted by repeating certain simulations with a lower compressive to tensile strength ratio. It is proven that the peak loads of the rock models with sufficiently small compressive to tensile strength ratios containing two throughgoing fissures of equal length are similar, provided that the minimum inclination angles of the models are the same. The results are presented and discussed with respect to the existing experimental findings in the literature, suggesting that the numerical model applied in this study can provide useful insight into the failure behaviour of rock-like materials.  相似文献   

6.
The study of rock pillar failure mechanisms is an issue that is faced routinely in mining and civil industries. In mining operation, the establishment of several mining levels is often necessary to ensure adequate production. This result in the formation of pillars that must be recovered under often high stress conditions at later stages of excavation. It is, therefore, beneficial to develop guidelines that can be used in the design of rock pillars. The aim of this paper is to delve into the mechanisms involved in pillar failure as well as to investigate the non-linear behavior of rock pillars. An extensive numerical analysis was carried out to study the pillar deformation and failure process under natural loading conditions. Effects of pillar geometry and pillar strength parameters on pillar behavior were investigated for hard rock material typical of Canadian mining conditions. Numerical data were compared against field data recorded in Canadian mines. A fairly good match was achieved between numerical and field data and the conducted analysis can be used as a qualitative guideline in the design of rock pillars in underground structures.  相似文献   

7.
川藏铁路沿线隧道围岩中常存在大量软弱夹层,且岩体受严寒气候影响较大。为研究夹层倾角和冻融循环对隧道围岩力学性质的影响,室内制备了不同软弱夹层倾角、不同冻融循环次数条件下的互层岩体,并对含软弱夹层岩体展开了单轴压缩试验。研究发现:(1)含软弱夹层岩体的硬岩部分变形较小,而软岩夹层部分的破坏更加剧烈。夹层倾角较小时(β=0°、30°)岩体破坏后裂纹与夹层倾角接近平行,当夹层倾角较大时岩体破裂面与夹层呈X型交叉状;冻融循环次数越多,岩体的破坏程度越强烈。(2)随着夹层倾角的增大,岩体的单轴抗压强度和弹性模量先减小后增大;当夹层倾角β=45°时,抗压强度和弹性模量最小,抗压强度较含水平软弱夹层岩体降低35.27%,弹性模量降低34.84%。(3)冻融循环劣化了夹层岩体的力学性质,岩体承载能力随着冻融循环次数的增加而减弱,但塑性变形能力有所增强。在冻融循环作用的影响下,岩体抗压强度、弹性模量呈负指数型递减,峰值点应变则呈线性增大。  相似文献   

8.
采用变量控制法较全面地分析了各细观参数与宏观参数的定量关系,表明:弹性模量E随颗粒模量Ec、黏结模量 、平行黏结半径乘子 呈线性增长,随颗粒刚度比kn /ks、黏结刚度比 呈对数减小;泊松比则主要受kn /ks和 的影响,两者之间呈对数关系;颗粒键的黏结强度决定了材料的强度,室内材料黏聚力c和抗拉强度 主要受法向平行黏结强度 、平行黏结强度比 的影响,随 线性增长,随 对数减小;摩擦角 主要受颗粒摩擦系数u影响,两者呈对数关系。分析裂隙扩展特征,表明材料法向黏结强度 和切向黏结强度 的相对大小决定裂纹分布规律,随 增大,岩样的拉破坏区域减少,而压剪破坏区域增加,破坏面由剪切破坏向共轭破坏发展;材料的强度离散性越小,岩样破坏趋于集中,破坏面明显,强度均值标准差比值 >3.5为宜; 增加,宏观破坏形式向共轭破坏发展。细观参数的选取除了匹配强度参数,同时还需要考虑破坏形式的一致,考虑多参数相互影响,建立了宏细观参数之间的经验公式,对细观参数进行优化选择,并做了实例验证。室内试验和数值模拟获得的峰值荷载、变形参数、剪切强度等数值接近,应力-应变演化规律相同,破坏形态一致,表明细观参数结果是可靠的。  相似文献   

9.
采用软岩相似材料进行了2种不同流变加载方式下的单轴流变损伤破坏试验,并通过超声检测技术获得了软岩在各级流变阶段的超声信号。试验结果表明:软岩相似材料具有强烈的黏、弹、塑性变形特征,选用西原模型对软岩各级流变过程进行模拟较为合适;当应力达到或超过软岩试件单轴抗压强度的80%时,纵波波速曲线才会在流变过程中持续下降,出现可检测损伤迹象,而首波振幅曲线波动大,检测结果不准确;以波速定义损伤变量,得到了软岩流变过程损伤演化曲线。试验结果能为软岩工程长期流变下的结构稳定性提供依据。   相似文献   

10.
结构面是岩体区别于岩石材料的一大特征,其产状、迹长、密度等参数对岩体的力学性质有着重要影响。本文利用FLAC3D对含结构面岩体试样的单轴压缩特性进行了较为系统的数值模拟研究。文中建立了含不同组贯通性结构面的岩体试样模型和含不同倾角及迹长的非贯通结构面岩体试样模型,对每个试样进行单轴压缩试验的数值模拟,结构体和结构面均采用Mohr-Coulomb剪切和拉伸破坏准则。模拟中用编制的伺服控制程序通过调节加载速度,控制试样内最大不平衡力,研究含结构面试样单轴压缩情况下的变形、强度及破坏方式等特征。模拟结果显示,含1-3组贯通性结构面试样呈现各向异性特征,而含4组贯通性结构面试件呈现各向同性特征。随着贯通性结构面数量的增多,同尺寸试件的变形强度参数劣化。含单组非贯通性结构面试件,其单轴压缩模拟试验的应力-应变曲线峰值后出现应力降。基于Mohr-Coulomb抗剪强度准则和损伤理论所得的解析解与数值模拟结果所得的非贯通性结构面试件的单轴压缩强度不符,说明用抗剪强度准则与损伤理论刻画非贯通结构面试样的强度并不合理。随着非贯通性结构面贯通率的增大,试件的变形、强度参数劣化。含单组结构面试件的破坏方式可分为结构面控制破坏,结构面部分控制破坏和结构面不控制破坏3种类型,而随着结构面组数的增多,结构面控制试样破坏的概率增加。  相似文献   

11.
单轴压缩下横观各向同性岩石破裂过程的数值模拟   总被引:16,自引:0,他引:16  
采用基于细观损伤力学基础上开发的RFPA2D数值模拟软件,用2种不同的岩石材料来组成7个不同岩层倾角的横观各向同性的岩石试件,通过单轴加载数值模拟试验,模拟横观各向同性岩石渐进破裂的整个过程,分析了岩层与最大主应力之间的倾角和强度之间的关系,讨论了不同岩层倾角的横观各向同性岩体的不同破裂模式及其破坏准则。  相似文献   

12.
The life time or time to failure of rocks under load is governed by microstructural defects, like microcracks, voids etc. The life time can be predicted either by empirical exponential laws or physical laws based on damage and fracture mechanics. The proposed numerical model is based on subcritical crack growth using the linear elastic fracture mechanical approach and is implemented as a numerical cellular automate. The algorithm considers both tensile and shear fracturing. Each cell contains a microcrack of random length according to a given probability function. Fracture growth is controlled by the Charles equation. Macroscopic cracks are the results of the coalescence of growing microcracks. Within the numerical approach elasto-plastic stress redistributions take place. If the stress intensity factors have reached the critical values or the microcrack has reached the zone dimension, the zone is considered as fractured and residual strength values are assigned. The proposed approach was applied to rock samples under uniaxial compressive and tensile loads (creep tests). Successful results were obtained in respect to the predicted life time, damage evolution and the fracture pattern. Conclusions for further improvements and extensions of this methodology were drawn.  相似文献   

13.
多煤层开采条件下煤层覆岩破坏具有独特的特征,影响矿井生产布置。以陕北某矿为例,以该矿地质采矿条件为基础,采用相似材料模拟实验与数值模拟相结合的方法,通过建立模拟模型,开展了双煤层开采对覆岩的破坏影响研究。结果显示:留设不同宽度的煤柱,采用相似材料模拟和数值模拟2种方法得到的煤层覆岩垮落带高度、裂隙带高度都基本一致;在双煤层开采时,留设的煤柱宽度越大,两个煤层的叠置区域就越小,煤层开采对覆岩的破坏程度就越小。在工作面布置时,建议增大两个煤层的开采距离,并尽量增加煤柱宽度,以减缓覆岩移动破坏范围和破坏程度。研究成果为类似双煤层开采工作面的设计及覆岩破坏控制提供技术支撑。   相似文献   

14.
Weak planes affect the strength and deformational behaviors of rock slopes, and the anisotropic characteristics of rock mass should be considered in slope stability analysis. Effects of joint plane orientations on failure mechanism and strength response of inherently anisotropic rock samples were firstly investigated. The specimens with various orientations of joints were evaluated under uniaxial compression, Brazilian tensile, and direct shear tests. By treating the foliated rock as transversely isotropic materials, the relevant elastic constants and strength parameters were obtained from experimental results. The slope damage zone was then investigated using Comsol Multiphysics code based on Hoffman criterion. It is indicated that the failure mechanism and strength response depend highly on the inclination of specimens with respect to the loading direction. For disks with the same inclination angle, the value of tensile strength has an increasing trend with the total fracture length. Numerical results show that partial slope mass failed in single slope and no large-scale landslide occurred. The failure pattern in numerical results agrees well with the field observations. The cooperation between the experimental results and the numerical results allows an in-depth analysis of the experimental results and thus better understanding the dominant effect of joints on the deformation and failure of rock mass.  相似文献   

15.
This paper presents a numerical study of fracturing process induced by excavation around a gallery using an extended rigid block spring method (RBSM). The surrounding rock mass is characterized by an assembly of rigid blocks based on a degraded Voronoi diagram. The macroscopic mechanical behavior of rock is related to that of interfaces between blocks. The mechanical behavior of each interface is described by its elastic stiffness and failure criterion. The failure process of interface is controlled by both normal stress and shear stress. Both tensile and shear failures are considered. The macroscopic fracturing process is described by the coalescence of cracked interfaces. The rock structural anisotropy is taken into account through a spatial variation of elastic stiffness and failure strength of interfaces. A series of sensitivity studies are performed to investigate effects of gallery orientation, failure strength of interfaces and rock structural anisotropy on gallery deformation and fracturing. Numerical results are compared with in-situ observations in terms of fracture patterns.  相似文献   

16.
王学良  张路青  张中俭  傅燕  刘恩聪  高千 《岩土力学》2010,31(12):3919-3927
作为具有大跨度、超浅埋等特点的千年古地下洞室群,龙游石窟吸引着众多前来研究的岩石力学家和工程地质学家。近些年来,龙游石窟的3号洞顶板多处出现了开裂和离层。安装在3-1号岩柱周围起支撑洞室作用钢柱上的应变片数值也发生了变化。据分析,这些现象出现的一个重要原因是3-2号岩柱强度降低引起洞室围岩受力条件的改变。利用FLAC3D数值软件,借鉴强度折减法,对3-2号岩柱强度降低引起上述变化的情况进行了模拟。数值模拟的结果可以较好地解释上述现象。在此基础上,进一步对3号洞顶板和其他岩柱的应力变化等进行了数值分析。结果表明:①3-2号岩柱的强度已有所下降,并有继续降低的趋势;②随着3-2号岩柱强度的降低,顶板的裂缝将不断增长、增多。其结果可为3-2号岩柱强度降低过程中洞室围岩力学行为的科学分析、预测及石窟的保护等提供依据。  相似文献   

17.
刘建  赵国彦  梁伟章  吴浩  彭府华 《岩土力学》2018,39(Z1):505-512
以有限差分法(FDM)为计算框架,利用Weibull分布描述细观单元弹性模量和单轴抗压强度的分布特征,采用弹塑性应变软化本构模型描述细观单元的力学响应,进而建立一种模拟非均匀岩石介质破裂的数值模型。采用该数值模型探讨了单轴压缩时细观均质度m及细观结构对数值试样宏观特性的影响。结果表明,(1)随着细观均质度提高,数值模型的非线性特征逐渐减弱,脆性逐渐增强;宏观峰值强度及弹性模量逐渐增大,峰值强度与lnm呈线性关系,而弹性模量与1/m为线性关系;数值试样表现出由塑性流动破坏至剪切破坏进而为张拉破坏的破坏模式;(2)当细观均质度一定时,细观结构或细观单元空间排列是决定岩石力学行为波动性的主要因素;应力–应变曲线峰前阶段对细观单元的空间排列不敏感,但峰值强度附近及峰后阶段对细观单元的空间排列比较敏感。  相似文献   

18.
沉积结构面及其对岩体力学性质的影响   总被引:1,自引:0,他引:1  
基于沉积结构面的成因类型,通过理论分析和实验研究,分析了沉积结构面的变形与破坏特征,研究了沉积结构面力学特征及其力学效应,提出了弱面型层理、层系或层系组界面和岩层面以及不整合面均为沉积构造弱面,这些弱面对沉积岩体力学性质产生重要的影响。分析了沉积岩体沿层面方向和垂直层面方向岩体力学性质的差异性。研究表明,垂直层面方向的纵波速度和弹性模量要比平行层面方向低;平行层面方向的抗拉强度要大于垂直层面方向;而平行层面方向的抗压强度与凝聚力小于垂直层面方向。沉积岩体易于产生垂直于结构面方向的张性破坏和沿结构面方向的剪切破坏,在采动影响下顶板岩体易于沿岩层层面产生离层破坏现象,这进一步揭示了沉积结构面变形与破坏机制。   相似文献   

19.
为了研究盐穴能源地下储库建造过程中,腔体围岩处在地温、卤水和地应力地质环境中盐岩的损伤演化特点,利用声发射技术分析盐岩受不同温度的饱和卤水作用后的单轴压缩损伤破坏过程。试验发现:在一定温度的饱和卤水中浸泡30 d后盐岩的单轴抗压强度和弹性模量有所降低,但降低的平均幅度很小;卤水对盐岩主要表现为溶蚀作用,而浸泡弱化作用非常小;单轴压缩过程中盐岩的应力-应变曲线与声发射-应变曲线具有较好的一致性,卤水浸泡后盐岩的累计声发射数随卤水的温度升高略有增加;卤水作用后盐岩试件的声发射率和累计数要小于无卤水作用盐岩;盐穴建造期盐岩受一定温度的卤水作用后盐岩的强度将出现一定弱化,但卤水也会促进损伤盐岩体的重结晶恢复,盐岩的这种特性有利于盐穴建造期安全和稳定。  相似文献   

20.
Three-dimensional surface crack initiation and propagation in two kinds of heterogeneous rocks were numerically investigated via parallel finite element analysis using a supercomputer. Numerically simulated rock specimens containing a pre-existing flaw were subjected to uniaxial compression until failure. The initiation and propagation of wing cracks, anti-wing cracks, and shell-like cracks were reproduced by numerical simulations. The numerically simulated results demonstrate that the further propagation of wing cracks and shell-like cracks stop due to their wrapping (curving) behavior in three-dimensional spaces, even if the applied loads continue to increase. Furthermore, rock heterogeneity could significantly influence crack propagation patterns and the peak uniaxial compressive strengths of rock specimens. Moreover, anti-wing cracks only appeared in relatively heterogeneous rocks, and the peak uniaxial compressive strengths of the specimens were observed to depend on the inclination of the pre-existing flaw. Finally, the mechanism of surface crack propagation is discussed in the context of numerically simulated anti-plane loading tests, wherein it was identified that Mode III loading (anti-plane loading) does not lead to Mode III fracture in rocks due to their high ratio of uniaxial compressive strength to tensile strength. This finding could explain the lateral growth of an existing flaw in its own plane, which is a phenomenon that has not been observed in laboratory experiments.  相似文献   

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