A method for designing the longitudinal spacing of slope-stabilising shafts

The work at hand deals with the design of the longitudinal spacing among rows of closely spaced large-diameter shafts used to stabilise a precarious slope. The problem under consideration is idealised through a conceptual framework where an unstable mass of an infinitely long slope pushes a stable portion of soil adjacent to shafts, leading to failure along a slip surface passing through the upper end of the reinforcement elements. By exploiting the upper bound theorem of plastic collapse, a closed-form solution is derived for the load required for the failure of the stable mass as a function of geometrical and mechanical parameters of the slope and the soil. Results are validated through physical model tests by means of geotechnical centrifuge. Given the satisfactory agreement between analytical and experimental results, the model is extended to evaluate the safety conditions of the reinforced slope.     

Hoek-Brown准则下预应力锚索锚固体破坏的极限分析

针对预应力锚索锚固体的破坏形式,采用Hoek-Brown强度准则及其相关联的流动法则,分别考虑锚固体界面产生滑脱破坏与锚固体周围岩体发生整体破坏两种工况,根据塑性力学中的上限分析定理,推导出了锚索极限抗拔力的计算公式与锚固体的破裂机制,并分别讨论了锚固段灌浆压力、锚固段长度与岩体强度参数等对极限抗拔力与破裂面形状的影响。计算表明:一定范围内增大锚固段长度和采用压力灌浆是提高锚索极限抗拔力的有效措施;当锚固段周围岩体发生整体破坏时,随着岩体经验参数A、岩体抗拉强度、抗压强度与重度的增加,锚索极限抗拔力不断增大,而随着经验参数B的增加,锚索极限抗拔力则不断减小;锚固段周围岩体破裂面形状呈现出对称的"喇叭形",这与现有文献中的研究成果相一致,而且岩体经验参数B是影响岩体破裂面形状的重要因素,它决定了岩体破裂面的曲率大小,当B=1时,岩体破裂曲面退化为圆锥面。     

Prediction of underground cavity roof collapse using the Hoek–Brown failure criterion

Preventing roof collapse in underground cavities is a challenge to geotechnical engineering. In this study, three independent methods have been used to evaluate the roof collapse of underground rectangular cavities for a range of geometries and rock properties. The rock mass strength has been described by the Hoek–Brown failure criterion. The results of the analysis allow for prediction of roof collapse and to determine whether the failure surface that develops in the rock mass remains localised or extends through the full depth of cover. This is of significance if there are overlying cavities and when estimating surface subsidence.     

大断面厚顶煤巷道顶板冒落破坏的上限分析

根据大断面厚顶煤巷道顶板的破坏特性,考虑了顶板围岩应力水平与支护荷载的影响,利用Hoek-Brown强度准则及其相关联的流动法则,构造出厚顶煤巷道顶板的冒落破坏机构。基于塑性力学中的上限分析方法,结合变分原理,推导得到了大跨度厚顶煤巷道顶板的冒落破坏机制,并以赵楼煤矿某巷道现场实践为例,分析了不同计算参数对顶板冒落破坏机制的影响。计算研究表明：随着岩体经验参数A、抗拉强度、抗压强度及支护荷载的增加,冒落体尺寸随之增大,而当岩体经验参数B、围岩应力及岩体重度增加时,冒落体尺寸则随之减小;冒落体尺寸代表了巷道顶板安全性能的大小,其尺寸越大,表明使巷道顶板发生冒落破坏所需外力功越多,顶板安全性能也越高;岩体经验参数B、围岩应力水平与支护荷载对顶板围岩破裂机制影响较为显著,参数B决定了冒落体的破裂形状,随着参数B的增加,冒落破裂迹线的曲率不断减小;增大支护阻力是提高顶板稳定性的有效途径,其研究结果可为大断面厚顶煤巷道支护设计提供一定的理论依据。     

岩质断层地基及其治理措施分析

我国西部水电等基础设施建设当中面临大量的岩质地基工程,该地区复杂的地壳构造运动和岩体变形使得岩质地基工程中常常分布有断层构造,形成了断层地基。断层地基上修建建筑物或构筑物时需根据断层的成因、产状、岩性等特征及建造对象的使用功能、结构形式、作用荷载等分别采取处理措施进行加固治理。处理的原则是明开挖、少扰动、强度高、接触好、防渗强、畅排水。处理措施一般包括填塞、架拱、衬洞、沉井、支撑（柱、框架、桩）、设墙、锚固等     

基于刚体平动运动单元的上限有限元研究

刚性块体极限分析上限法常应用于岩土工程稳定性研究,然而应用时需假定刚性块体破坏模式并递推繁琐的几何关系。为此,提出一种适应性更广的基于非线性规划模型的刚体平动运动单元上限有限元法,并解决了其优化模型初始值的确定问题。通过引入有限单元思想,将计算区域离散成刚体单元,同时以单元速度和节点坐标作为决策变量,由上限定理建立非线性规划模型获得上限解。利用编制的上限有限元程序进行边坡和浅埋隧道稳定性算例验证,表明运动单元上限有限元法能调整速度间断线至较优方位,所得破坏模式特征鲜明,上限解精度高,可广泛应用于边坡、隧道等稳定性分析研究。     

多随机因素作用下储气库套管运行期安全性分析

套管是地下储气库运行过程中的薄弱环节,各随机因素的变化会对套管系统安全性产生较大的影响。以三维套管-水泥环-围岩系统为研究对象,考虑几何尺寸、荷载、材料特性等多因素的随机特性,基于蒙特卡罗法对储气库运行期套管系统的失效概率及敏感性因素进行分析,通过与地质模型试验结果进行对比,验证了数值模拟结果的可靠性。结果表明,各随机因素对套管系统可靠性的影响程度不同,其中套管厚度、套管内径、工作内压、水泥环厚度为高敏感性因素,且各因素的影响效果不同,在工程中可采取不同措施提高系统可靠性;采气阶段,根据储气库腔体应力状态和体积变形规律确定的最大采气降压速率不会影响套管系统的安全性。     

Stability analysis of rock slopes with a modified Hoek–Brown failure criterion

The original Hoek–Brown (HB) failure criterion was used to analyse the stability of rock slopes. For highly fractured rock, the original HB failure criterion has been modified, but its effect on the stability of rock slopes has not been studied. Within the framework of the kinematical approach of limit analysis, this paper computes the rigorous upper bounds of stability factors of homogeneous rock slopes with the modified HB failure criterion under the plane strain condition, by employing a ‘generalized tangential’ technique. In such technique, instead of using the modified HB failure criterion, a series of linear failure surfaces tangent to the actual non-linear failure surface are utilized to derive the upper bound solutions, incorporating a new parameter n ranging from 0.5 to 0.65. The numerical results are compared with other published solutions for the case of n=0.5. The effects of the n on the stability factors of rock slopes are discussed. Copyright © 2004 John Wiley & Sons, Ltd.     

Slope Stability Problems and Back Analysis in Heavily Jointed Rock Mass: A Case Study from Manisa, Turkey

This paper presents a case study regarding slope stability problems and the remedial slope stabilization work executed during the construction of two reinforced concrete water storage tanks on a steep hill in Manisa, Turkey. Water storage tanks of different capacities were planned to be constructed, one under the other, on closely jointed and deformed shale and sandstone units. The tank on the upper elevation was constructed first and an approximately 20-m cut slope with two benches was excavated in front of this upper tank before the construction of the lower tank. The cut slope failed after a week and the failure threatened the stability of the upper water tank. In addition to re-sloping, a 15.6-m deep contiguous retaining pile wall without anchoring was built to support both the cut slope and the upper tank. Despite the construction of a retaining pile wall, a maximum of 10 mm of displacement was observed by inclinometer measurements due to the re-failure of the slope on the existing slip surface. Permanent stability was achieved after the placement of a granular fill buttress on the slope. Back analysis based on the non-linear (Hoek–Brown) failure criterion indicated that the geological strength index (GSI) value of the slope-forming material is around 21 and is compatible with the in situ-determined GSI value (24). The calculated normal–shear stress plots are also consistent with the Hoek–Brown failure envelope of the rock mass, indicating that the location of the sliding surface, GSI value estimated by back analysis, and the rock mass parameters are well defined. The long-term stability analysis illustrates a safe slope design after the placement of a permanent toe buttress.     

Parametric studies of disturbed rock slope stability based on finite element limit analysis methods

This study employs the finite element upper bound and lower bound limit analysis methods to investigate the stability of inhomogeneous rock slopes. The differences in the stability numbers of the upper and lower bound solutions are bracketed within ±10.5% or better, and the stability numbers obtained are presented in rock slope stability charts. These stability charts can provide a convenient tool for preliminary stability designs of inhomogeneous rock slopes. Various recommended blasting damage zones are considered, and disturbance factors are used to represent damage levels. Results showed that rock mass disturbance could significantly influence the evaluation of rock slope stability.     

基于Hoek-Brown破坏准则的浅埋条形锚板抗拔力上限分析

现有的锚板极限承载力研究大多是采用线性或非线性Mohr-Coulomb破坏准则在砂质地基中进行的,然而Mohr-Coulomb破坏准则并不适合分析岩质地基中的抗拔结构。采用Hoek-Brown破坏准则构建了一个曲线型的破坏机制,根据极限分析上限定理求出了条形锚板抗拔力的表达式。通过变分计算,得到了极限状态下条形锚板的抗拔力和岩体破裂面的上限解。为了证明所采用方法的有效性,当材料参数B =1时,采用与Mohr-Coulomb破坏准则等效的土体参数,计算了曲线型破坏机制下条形锚板的极限抗拔力,并与已有计算结果进行了比较。结果表明,采用曲线型破坏机制得到的锚板极限抗拔力与直线型多块体破坏机制的结果基本一致,证明了所采用的曲线形破坏机制是正确的。参数研究表明：在其他参数不变的情况下,锚板极限抗拔力和破坏面都随岩体参数B的增大而减小。     

基于极限分析的圆形浅基础地基承载力上限解

地基承载力问题是岩土工程领域最重要的研究课题之一。针对圆形浅基础地基,从空间问题着手,根据极限分析上限分析理论,选择合适的地基破坏模式及机动位移速度场,首次考虑了单元土体所受的侧向土压力对地基极限承载力的影响,同时考虑到土体自重及地面超载等因素的作用,推导出理论上更为合理的三维圆形浅基础地基极限承载力上限解。结合工程实例,用相应Matlab计算程序计算出上限解,并与实测值进行了对比,证明了其方法的合理性与实用性。     

锦屏二级水电站大理岩复杂加卸载应力路径力学特性研究

地下洞室开挖围岩经历典型径向卸载、环向加载应力路径,由此引起的岩体强度、变形特征和破坏机制也不尽相同。针对锦屏二级水电站高地应力赋存环境,对施工排水洞大理岩开展常规单轴全应变、三轴压缩、卸围压、卸围压-加载轴压等4种不同应力路径力学试验,得到应力-应变全过程曲线、变形破坏特征和极限储能变化规律。试验研究结果表明, （1）锦屏二级水电站大理岩破坏时轴向应变一般较小,为硬脆性材料,卸荷应力路径下该脆性特征更为明显;（2）卸围压同时加载轴压试验峰值强度对应轴向应变、环向应变及体积应变值一般高于单纯的卸围压值,而对应峰值强度则一般低于卸围压值;（3）卸荷速率较大时,变形模量越大,大理岩峰值强度越低。加载速率越大,变形模量越小,峰值强度越高。初始围压越高,变形模量值越低,峰值强度越高;（4）无侧限作用时试件主要为张拉破坏,低侧限作用时为剪切破坏为主,局部存在张拉破坏,较高侧限时,剪切面为典型X或Y型;（5）岩石试件具有极限储能值,该值受多种因素的影响。一般情况下试件破坏对应围压越高,极限储能值越高,卸载速率越大,极限储能值越小。研究结果对于岩爆孕育发生机制解释以及工程实际问题的解决均有参考价值。     

Seismic bearing capacity of shallow foundations near rock slopes using the generalized Hoek–Brown criterion

The seismic bearing capacity of shallow foundations resting on a modified Hoek–Brown rock mass is investigated within the framework of the kinematic approach of limit analysis theory. The analysis focuses on evaluating the reduction in bearing capacity induced by seismic loading and by the proximity of a rock slope. A pseudo‐static approach is adopted to account for the earthquake effects for the seismic bearing capacity evaluations. At the rock material level, the closed‐form expressions previously obtained for the support functions of the rock failure criterion allow the implementation of different failure mechanisms families, and thus to derive rigorous upper bounds estimates of the load‐bearing capacity in both static and seismic conditions. The effects of geometrical, strength and loading parameters are assessed through a large number of parametric computations. Finally, design tables are presented for practical use in rock engineering. Copyright © 2010 John Wiley & Sons, Ltd.     

基于改进的Mohr-Coulomb强度准则下岩石锚杆极限抗拔承载力计算

岩石锚杆基础作为风电机组基础的一种特殊基础型式,可以充分发挥原状岩体的力学性能,具有良好的抗拔性能。已有研究表明,小而非零拉伸截断改进的Mohr-Coulomb（简称M-C）强度准则更适用于描述岩体的破坏特性。基于小而非零拉伸截断改进的M-C强度准则,建立破坏面上单位面积的能量耗损率表达式。从塑性力学极限分析上限定理出发,构建岩楔体平移破坏机构。根据外部作用荷载和岩楔体自重所做的外功率与沿岩楔体圆破坏锥面的能量耗损率相等的条件,建立虚功率方程,并由此得到了岩石锚杆极限抗拔承载力的计算公式。经原型试验验证,推导公式所得计算值与实测值一致性较好,具有一定的可靠性,且能满足工程实际应用要求。     

山体破裂失稳早期预测预报光纤传感器技术研究

山体破坏和发展过程可以看作为裂纹扩展的过程,为了解决山体微裂缝变形动态监测问题,研究了一种薄盒式岩体裂缝光纤传感器,文中给出了其结构设计,并对该薄盒式岩体裂缝光纤传感器的性能进行了位移和压力两项室内试验研究,同时还对相应的二次仪表进行了研究与试验,结果表明：所研究的薄盒式岩体裂缝光纤传感器,具有可靠、实用和高灵敏度等特点,对于山体或其它裂缝工程体（如水坝）的变形发展、失稳的机理研究和早期预报,将是一种良好的传感监测设备,具有较好的工程应用价值。     

节理化岩体复合式滑移破坏的模型试验研究

针对节理化岩体的自身特点,提出沿岩体层面产生的应力集中以及层面与节理之间的残余完整岩桥破坏,将可能导致岩体产生复合式滑移破坏。在室内利用岩石三轴刚性伺服机,通过模型试验对岩体的层面和一组与层面正交的节理的情况进行模拟研究,分析了结构面性状和围压对复合式滑移破坏的影响,给出了在贯通性结构面（层面）倾角、非贯通性结构面的以及围压等因素共同作用下,节理化岩体发生复合式滑移破坏的条件以及破坏面特征。最后在与前人的试验资料进行对比分析的基础上得到可靠的结论,期望为在将来的实践工作中正确评估节理化岩体的破坏模式提供指导性意见。     

冻结饱水单裂隙岩体力学特性试验研究

通过相似单裂隙岩体冻结三轴试验,研究裂隙倾角、迹长、隙宽、围压和温度对单裂隙岩体力学特性的影响,试验结果表明：裂隙岩体力学参数与倾角呈二次函数分布,与迹长呈指数函数分布,通过拟合式（3）可近似计算岩体强度;岩体强度与围压呈线性分布,负温条件下泊松比和弹性模量受围压影响较小;隙宽小于0.1 mm或大于0.8 mm时,岩体强度随隙宽增大而减小,隙宽在0.1～0.8 mm之间时,岩体力学参数几乎不受隙宽影响;岩体强度随温度降低而增大的作用机制是岩体孔隙水和裂隙水冻结成冰,增大了颗粒间的凝聚力和摩擦角;裂隙倾角影响破裂面的起始位置,迹长影响破裂面的扩展规模,围压影响破裂面的延伸方向;倾角对岩体强度影响最大,迹长次之,温度影响最小。     

基于应变软化的岩土工程单元安全度评价方法研究

针对大多已有岩土工程局部安全评价方法未考虑拉伸破坏和屈服、破坏阶段的问题,对围岩的局部安全评价方法进行了相应的改进。基于Mohr-Coulomb屈服准则和应变软化模型建立了单元安全度的评价方法和新的定义,综合考虑剪切和拉伸破坏模式,定义一个统一的变量ZSD来表征和量化岩土体单元从弹性、屈服到破坏的安全程度,实现复杂应力状态下岩土体渐进破坏过程的局部安全性定量评价。推导了ZSD的各阶段表达公式,利用FISH语言在FLAC3D平台编写程序。通过相应的实例和工程进行了ZSD计算,验证了该方法的正确性与有效性。该方法具有参数表达简单,易于在程序中实现,可通过ZSD所在值域判断单元所处的状态,可直观揭示岩土体渐进破坏过程等诸多优点。该方法为分析和预测岩土工程中危险区域的演化和描述渐进破坏过程提供了有效的手段。      

复杂应力路径下饱水砂岩宏细观力学特性研究

饱水作用对砂岩变形及强度特征影响显著,考虑岩体实际赋存环境,为了解复杂应力路径下饱水砂岩宏细观力学特性,利用RMT-150C岩石力学多功能试验机及SEM电镜扫描技术,对饱水砂岩进行循环荷载作用后卸荷破坏试验,研究不同影响因素作用下的疲劳损伤特征,重点分析了加载频率、上限应力等因素对卸荷变形、强度及细观损伤特征的影响规律。研究表明,根据试验设计方案获得的饱水砂岩应力-应变曲线大致可以划分为5个典型阶段,其中,同一应力状态下,疲劳损伤阶段轴向不可逆应变在等速变形阶段的应变速率随加载频率的增大迅速增加,这表明上限应力的“门槛值”极有可能是变化的,且与加载频率及循环次数密切相关;同时,卸围压变形破坏阶段的总应变及围压卸荷量均随加载频率（或上限应力）的增大而减小,与该阶段持续时间随加载频率（或上限应力）的变化规律一致。不仅如此,通过分析饱水砂岩破坏面细观损伤特征发现,加载频率与上限应力作用下的细观损伤特征差异显著,其中破坏面微裂隙面积占比随加载频率增大而减小,上限应力则恰好相反。