Effects of Rock Bolting on Stress Distribution around Tunnel Using the Elastoplastic Model

INTRODUCTIONThe stability of underground structures duringand after excavation is the most i mportant factor fordesigners because any kind of collapse may destroylarge parts of a finished tunnel,thereby causing ma-jor repairs and ti me loss.To avoid this problem,rock bolts are widely used as ani mportant support el-ement.These are economical,have a short installa-tion ti me,and provide reinforcement to maintain theintegrity of the stressed rock.The effect of the bearing capacity of rock b…     

锚杆支护圆形隧洞的等效强度参数及可靠性分析

通过采用均匀化方法,研究了圆形隧洞的锚杆支护特性,将高密度支护模式下的岩石和锚杆复合体考虑成均匀、连续、强度参数增强的等效材料,简化了岩石和锚杆间复杂的力学耦合问题。通过定义锚杆密度参数来反映不同支护模式的特性,建立锚杆密度参数与Mohr-Coulomb屈服准则中主要参数之间的关系,推导出等效弹性模量、等效黏聚力和等效内摩擦角的表达式,并分析比较了隧洞在支护前后的位移情况。结合可靠性理论,采用容许极限位移量作为失稳判据,分析了隧洞在支护前后的可靠性指标与破坏概率,结果表明,文中提出的方法简单可靠,锚杆支护对隧洞的位移限制效果明显,可显著提高隧洞的可靠性。     

煤矿巷道锚杆支护的参数优化

目前煤矿巷道锚杆支护设计尚存在不足,造成锚杆锚固能力未能充分发挥,支护材料浪费和支护成本偏高。基于围岩与锚杆共同作用原理,通过锚杆受力监测,对锚杆支护参数进行设计,有助于充分发挥锚杆支护的优越性。针对陕西某煤矿巷道条件,通过计算和锚杆受力监测,调整锚杆参数的方法,进行锚杆支护参数设计,实现锚杆支护的参数优化。应用结果表明利用这一方法能够准确、快速地得到锚杆的支护参数,充分发挥了支护锚杆的承载能力,实现了支护优化。本文工作对改进煤矿巷道支护设计具有一定的实际意义和工程价值。     

强震区软弱破碎千枚岩隧道系统锚杆支护作用效果分析

以在建的穿越5•12强震区发震断裂带的广甘高速公路杜家山隧道为工程依托,选取20 m典型围岩区段为试验段,对有、无系统锚杆时的洞周位移、锚杆轴力、钢拱架内力、围岩与初支接触压力、及其二衬内力进行实测对比分析,探讨锚杆支护作用效果不明显的成因,提出了在强震区软弱破碎千枚岩隧道围岩中采用“钢喷”初期支护的支护方案。研究结果表明：设置锚杆的断面,其锚杆轴力值较小,最终洞周变形值及围岩与初支的接触压力值相对偏大,钢拱架和二衬的安全储备相对不足;锚杆的施工不仅在某种程度上加剧了对深部围岩的扰动,而且还延误了喷射混凝土和钢支撑支护对暴露围岩及时封闭的最佳时机;震后深部围岩的震裂损伤和震裂岩体地下水的渗透性增强,致使围岩松弛区域超过了锚杆设置范围,且锚杆与围岩间的黏结力被削弱。     

Analytical model for the design of grouted rock bolts

An analytical model which represents the behaviour of a reinforced rock mass near a circular underground opening in a homogeneous, uniform stress field has been developed. The theory adopts the concepts of elastoplasticity and considers a proper interaction mechanism between the ground and the grouted (or friction) bolts. It highlights the influence of the bolt pattern on the extent of the yield zone and tunnel deformation. A dimensionless parameter is introduced as a design tool which relates the tunnel convergence to the bolt spacing for a given bolt length. This publication contains the derivation of the analytical model and an illustration of the effect of bolts on the stress and displacement field near an opening. Its application to tunnel design is discussed briefly. The verification of the theory by laboratory simulation and field measurements will be presented, in detail, in a future publication.     

砂浆锚杆加固效果的等效数值模拟方法研究

针对常规数值模拟计算无法有效地反映锚杆对围岩的加固效果的缺陷,结合岩体变形在锚杆中产生的支护压力计算公式,提出了一种简单、有效的砂浆锚杆加固等效数值模拟方法。该方法首先在有锚杆支护隧道开挖的计算结果中提取每根锚杆的最大轴力;然后根据该轴力值按锚杆支护压力公式计算其所产生的等效均布力;最后将该均布力施加到相同计算工况下无锚杆支护的围岩表面进行模拟计算。将该方法应用于锦屏二级水电站地下厂房枢纽洞室及乌东德水电站4#导流洞0+ 550 m断面的开挖与支护计算,通过与现场实测数据对比,结果表明,该方法能较好地模拟锚杆支护对围岩的加固效果,其模拟结果可为隧洞的施工与支护设计提供可靠的参考依据。     

地下隧洞开挖和支护的三维数值分析计算

根据地下工程锚固支护原理,采用隐含锚杆柱单元的三维有限元和混凝土喷锚支护的三维数值计算方法,对复杂的地下泄洪隧洞的开挖和支护进行了分析计算。该方法不仅能够有效地反映锚杆的长度、密度、倾角对洞室开挖的影响,而且能够较好地模拟钢拱架和锚杆的时间施加效应。由于隐含锚杆柱单元和喷层单元是隐含在岩体单元中的,所以锚杆和喷层单元不受岩体单元划分的影响,能够有效地模拟各种支护方案,加快计算速度,合理反映锚固支护所作用的位置和时间影响。通过对构皮滩泄洪洞施工开挖和锚固支护的模拟计算,论证了施工开挖的稳定性和锚杆、喷层、钢拱架的支护作用,提出了洞室结构的加固措施,为工程施工开挖提供了有效的设计依据。     

Analytical‐numerical solution for stress distribution around tunnel reinforced by radial fully grouted rockbolts

This paper presents an analytical‐numerical approach to obtain the distribution of stresses and deformations around a reinforced tunnel. The increase in the radial stress of the reinforced tunnel, based on the performance of a bolt, is modeled by a function, which its maximum value is in the vicinity of the bolt periphery and it exponentially decreases in the far distance from the bolt. On the basis of this approach, the shear stiffness between the bolt and the rock mass and the shear stress distribution around the bolt within the rock mass are also analytically obtained. The results are compared with those obtained by the assumption of ‘uniform increase of radial stress’ method, which is made by the previous studies. The analyses show when the bolts' spacing is large, the safety factor must be increased if the ‘uniform increase of radial stress’ method is used for the design. Finally, a procedure is introduced to calculate the non‐equal deformation of the rock mass between the bolts at any radius that can be useful to compute the bending moment in shotcrete layer in New Austrian Tunnelling Method (NATM) approach. Copyright © 2016 John Wiley & Sons, Ltd.     

软弱围岩隧道取消系统锚杆的现场试验研究

在软弱围岩隧道中,提出初期支护结构由钢架+喷射混凝土+钢筋网+锁脚锚杆+纵向连接筋组成,即取消系统锚杆用钢架联结处的锁脚锚杆代替。以包家山隧道为依托工程,采用现场试验的方法,选取2个试验段,进行锁脚锚杆取代系统锚杆后,有、无拱部锚杆的对比试验研究。对比试验的内容包括：隧道初期支护的净空收敛、围岩压力、钢架应力、喷射混凝土应力、锚杆轴力和纵向连接筋应力等。研究结果表明：2个试验段初期支护变形趋于稳定,结构受力安全,说明取消系统锚杆不影响初期支护结构的安全与稳定;拱部锚杆有受拉,也有受压,但受力都不大,最大拉应力仅为钢材极限强度的11.8%,其支护作用不明显;锁脚锚杆大部分受拉,最大值达到191 MPa,钢架支护作用明显,在支护体系中发挥着重要作用。取消系统锚杆减少了施工工序,降低了工程造价,缩短了工序循环时间,有利于及早封闭围岩以形成完整的支护结构。经济价值和社会效益显著。     

Reinforcement analysis and design of mechanical roof bolting systems in horizontally bedded mine roofs

Summary In order to design roof bolting systems safely and economically, it is essential to understand the flexural behaviour of the immediate roof. Based on the strata sequence, the strata in the immediate roof are divided into three types. The flexural behaviour of the three strata types are investigated in terms of the following effects: roof span, horizontal stress, thickness and Young's modulus of the lowest strata.The suspension reinforcement mechanism is analysed using beam-column theory. The equations for the maximum bending stress, deflection and transferred bolt load for the bolted strata are derived. In the analysis, the bolt load is assumed to be a point load and a horizontal stress is uniformly applied to each stratum. The friction reinforcement mechanism is also investigated. The major function of roof bolting in this case is to create frictional resistance by tensioning the roof bolts so that the individual layers are combined into one single thick layer.A computer program and nomographs are developed for the determination of proper bolting pattern and bolt tension. It is hoped that this development can lead to maximum safety with minimum cost for the design of roof bolting systems in underground coal mines.     

深部岩巷分区破裂围岩稳定性控制方法及应用

深部高地应力岩巷开挖后围岩内出现分区破裂现象,采用传统的原设计方案巷道稳定性差。根据巷道围岩变形破坏的现场监测结果,经过理论分析和支护试验,提出了“提高法向约束、锚杆增韧止裂、协调耦合支护、应力内部转移、分区充填注浆、增强围岩强度”的锚注一体化综合控制方法理念。并提出了相对应的综合支护技术,即首先采用高预紧力超强锚杆及时支护围岩,锚杆的长度和数量分别由监测结果和分区支护能量判据确定;其次采用高强锚索让压梁支护巷道顶板,实现锚杆、锚索的协调耦合支护和围岩应力内部转移;最后采用中空分段螺旋式注浆技术进行滞后加固。最后针对监测巷道采用锚注一体化综合控制方法和技术进行了支护优化设计并进行现场支护试验,监测结果表明,优化支护的巷道稳定性良好。     

Engineering classification of rock masses for the design of tunnel support

SummaryEngineering Classification of Rock Masses for the Design of Tunnel Support An analysis of some 200 tunnel case records has revealed a useful correlation between the amount and type of permanent support and the rock mass qualityQ, with respect to tunnel stability. The numerical value ofQ ranges from 0.001 (for exceptionally poor quality squeezing-ground) up to 1000 (for exceptionally good quality rock which is practically unjointed). The rock mass qualityQ is a function of six parameters, each of which has a rating of importance, which can be estimated from surface mapping and can be updated during subsequent excavation. The six parameters are as follows; theRQD index, the number of joint sets, the roughness of the weakest joints, the degree of alteration or filling along the weakest joints, and two further parameters which account for the rock load and water inflow. In combination these parameters represent the rock block-size, the interblock shear strength, and the active stress. The proposed classification is illustrated by means of field examples and selected case records.Detailed analysis of the rock mass quality and corresponding support practice has shown that suitable permanent support can be estimated for the whole spectrum of rock qualities. This estimate is based on the rock mass quality Q, the support pressure, and the dimensions and purpose of the excavation. The support pressure appears to be a function ofQ, the joint roughness, and the number of joint sets. The latter two determine the dilatency and the degree of freedom of the rock mass.Detailed recommendations for support measures include various combinations of shotcrete, bolting, and cast concrete arches together with the appropriate bolt spacings and lengths, and the requisite thickness of shotcrete or concrete. The boundary between self supporting tunnels and those requiring some form of permanent support can be determined from the rock mass qualityQ. With 8 Figures     

The effect of surface profile, rock strength and pretension load on bending behaviour of fully grouted bolts

Fully encapsulated rock bolting has, in recent years, become a universally accepted system of ground reinforcement in mining and tunnel construction. The application of bolting systems extends both to rebar as well as cable bolting. The effectiveness of the bolt application has been studied in shear, both by laboratory tests as well as by numerical modeling. A specially constructed double shearing apparatus (DSA) was used to examine the shearing behaviour of a bolt installed perpendicularly across two joints. The experimental study was complemented with three-dimensional numerical analysis. Parameters examined include, the effect of reinforced material on tension/compression zones along the sheared bolt, shear resistance, shear displacement and induced strains and stresses during bolt bending process. The study was undertaken at both free load and pretension conditions. The conclusions drawn from the study were the level of bolt resistance to shear was influenced by bolt profile configuration, the strength of the rock or medium influenced the level of load generated on the bolt and the increased bolt pretension contributed to increased shearing load of the bolted medium. The numerical simulation of the bolt/medium interaction and deformational behaviour were found to be in close agreement with the experimental test results.     

隧道围岩中全长注浆岩石锚杆的应力分布分析

在弹性状态下,根据锚固体的受力情况建立了锚固体的摩阻力分布模型。根据此模型,结合隧道围岩位移变化函数推导了全长注浆岩石锚杆在围岩变形下的全长受力分布函数。并结合工程实例,分析了锚杆的应力分布特征,得出了注浆岩石锚杆在围岩变形中受力的基本特征。     

基于剪切试验的预应力锚杆变形性能分析

为了研究锚杆对节理剪切性能的作用机制和模式,开展了锚固节理岩体的实验室剪切试验,模拟了不同强度的岩体在剪力作用下的变形和受力特征,对比了锚杆加固前、后岩体的剪切变形规律,分析了节理岩体强度、预应力及锚固方式对节理的抗剪能力的影响,试验过程中通过应变片测点监测锚杆轴力的变化规律,研究了节理剪切过程中锚杆的轴向受力机制和变形特性。剪切试验完成后,取出剪切变形后的锚杆,统计了变形段长度与各参数之间的关系。通过试验结果分析,剪力-位移曲线存在明显的3个阶段：弹性阶段、屈服阶段和塑性强化阶段,曲线近似呈现双直线特征,弹性段锚杆主要发挥销钉作用;屈服段锚杆的轴向作用开始调动,锚杆同时存在销钉和约束作用;塑性段锚杆不再发挥销钉作用,只是依靠其轴向约束作用限制岩体的变形;曲线表现出韧性增强的剪切性能,这就使得锚杆锚固节理岩体的破坏特性由脆性转变为塑性,从而提高了岩体的稳定性和安全度。节理面的滑动对锚杆产生剪切作用,由于切向变形而产生了附加的锚杆轴向变形,锚杆的轴向应力随着剪切位移的增大呈增长的趋势,变形剧烈区域集中于节理面附近,且距离节理面越近其轴向应力增大越多。     

Roof bolting in underground mining: a state-of-the-art review

Conclusions With continuing investigations and developments, roof bolting today can in most cases successfully reinforce the mine roof in underground mining. In order to cope with the increasing use of roof bolts, efforts should be made to maximize the safety and minimize the cost. With regard to mechanical bolting, two important parameters need more advanced improvements and study, namely, optimum design of the shape and type of expansion shell and optimum bolt tension for a specific bolt pattern. For the fully grouted resin bolt, the most critical requirement is to develop a fast-setting, low-cost, intoxic, inflammable grouting material that can be used in the high speed mining cycle. It should be noted that geological conditions such as the strata type, rock properties,in situ stress, and planes of weakness play an important role in the successful application of any roof bolting system. These factors should be specified as accurately and quantitatively as possible in the design of any roof bolting system. Finally, proper and careful installation and continuous monitoring are imperative for the success of any roof bolting system.     

节理岩体锚杆的综合变形分析

在总结国内外对节理岩体中锚杆加固机制的试验研究和理论探讨基础上,综合考虑锚杆的切向和轴向变形能力,建立节理锚固锚杆在剪切荷载作用下的变形模型,将节理锚固锚杆的变形区划分为弹性变形段和挤压破坏段,引入表征挤压破坏段长度的变量,对锚杆与岩体的相互作用机制进行理论分析,推导了剪切荷载与剪切位移和轴向荷载与轴向位移的关系。通过分析锚杆的屈服破坏形式,得到了确定挤压破坏段长度的方法。最后,通过算例分析了挤压破坏段长度与锚杆直径、岩体强度、锚固角度等参数的关系,得到了以下结论：（1）节理锚固锚杆抗剪作用的实质是锚杆调动岩体的抗压强度抵抗节理切向荷载。在抗压强度较高的硬岩中,挤压破坏段局限于节理面附近,锚杆影响范围小;而在抗压强度较低的软岩中,挤压破坏段较大,而且会产生较大的剪切变形,锚杆影响范围较大。（2）锚杆屈服破坏形式与岩质和锚杆直径有关。硬质岩体发生剪切屈服,而较软岩体中容易发生弯曲屈服;小直径锚杆一般直接剪切屈服,而大直径锚杆可能发生弯曲屈服。锚杆屈服破坏后出现塑性铰,挤压破坏段范围在节理一侧约为直径的1～2倍,继续增加剪切荷载,挤压破坏段长度不再增大。（3）随岩质的不同,锚杆锚固节理的最优锚固角变化较大。岩质较硬时,最优锚固角度较小,反之则较大。     

Numerical model for rock bolts with consideration of rock joint movements

Summary The stability of any underground structure during and after excavation is the most important question for designers, because any kind of collapse may destroy large parts of a finished tunnel, causing major repairs and time loss. Preliminary calculations are therefore of great importance. A calculation is only useful, however, when the underlying numerical model correctly describes natural behaviour. The rock bolts used in tunnel excavations are mostly untensioned grouted bolts, and this type of bolt is the main focus of this work. From the model of the grouted bolt, other types of rock bolts can also be modelled by the theory presented herein. Bolt behaviour in intact rock mass is so different from behaviour when a bolt intersects a joint, that a model with two different elements is suggested for a numerical calculation; one element for the bolt in the rock mass and one as a bolt intersecting with a joint.The model for both elements is verified by the experimental results. The numerical results correspond favourably with the experimental work. A variation of the parameters important for the behaviour of the bolt in intersection with the joint is shown. As an implementation of the bolt model, the numerical simulation of excavation and stabilisation of one road tunnel is presented.     

隧道掌子面超前锚杆连续交替式布设方案研究

在软弱围岩隧道中掌子面不稳定问题十分常见。掌子面超前锚杆作为一种重要的掌子面支护手段,目前常规采用的间断式布设方案存在锚杆的支护效果会随隧道推进过程中其支护状态的变化而忽强忽弱的问题。针对这一问题,本文提出了一种连续交替式掌子面超前锚杆布设方案。该方案将掌子面上的所有锚杆布设点位均等划分成若干个部分,在隧道推进过程中进行连续逐部分交替布设,使隧道在推进过程中锚杆支护状态更趋均匀稳定。为系统性评价新方案的可行性,以渭武高速木寨岭公路隧道为工程依托,在掌子面锚杆用量处于相同水平的条件下,分别对常规的间断式布设方案以及新提出的连续交替式布设方案进行设计。并进一步借助FLAC^3D数值模拟平台,对掌子面超前锚杆采用两种不同布设方案时,对于掌子面变形以及地层变形的控制效果进行对比。结果表明,常规间断式锚杆布设方案对于掌子面变形以及地层变形的控制效果并不稳定,受支护状态变化的影响较大,而新提出的连续交替式布设方案可以在不提高支护成本的前提下,将隧道推进过程中掌子面超前锚杆对于掌子面变形以及地层变形的控制效果维持在稳定水平,且均显著高于常规方案的最低水平,克服了常规布设方案支护效...