A new numerical approach to the hyperstatic reaction method for segmental tunnel linings

This paper proposes a numerical approach to the hyperstatic reaction method (HRM) for the analysis of segmental tunnel linings. The influence of segmental joints has been considered directly using a fixity ratio that is determined on the basis of the rotational stiffness. The parameters necessary for the calculation are presented. A specific implementation has been developed using a FEM framework. This code is able to consider the three‐dimensional (3D) effect of segment joints in successive rings on the tunnel lining behaviour. The present HRM allows one to take an arbitrary distribution of segment joints along the tunnel boundary into consideration. In addition, the rotational stiffness of segment joints has been simulated using nonlinear behaviour, as it is closer to the true behaviour of a joint than linear or bilinear behaviour. The numerical results of three hypotheses on ring interaction, which allow the 3D effect of a segmental tunnel lining to be taken into account, have been compared with data obtained from the shield‐driven tunnel of the Bologna–Florence high‐speed railway line project. The numerical results presented in the paper show that the proposed HRM can be used to effectively estimate the behaviour of a segmental tunnel lining. Copyright © 2014 John Wiley & Sons, Ltd.     

2D Tunnel Numerical Investigation: The Influence of the Simplified Excavation Method on Tunnel Behaviour

Tunnel excavation is a three-dimensional (3D) problem. However, despite recent advances in computing resources, 3D models are still computationally inefficient and two-dimensional (2D) simulations are therefore often used. Modelling the tunnelling process in a 2D plane strain analysis requires a specific approach that allows a 3D tunnelling effect to be taken into consideration. As far as the urban tunnels are concerned, most cases reported in the literature have focused on estimating the applicability of these equivalent approaches that are based on the evaluation of the settlement that develops on the ground surface, without considering the influence of segment joints. The main objective of this study was to provide a 2D numerical investigation to highlight the influence of two equivalent approaches, that is, the convergence-confinement method (CCM) and the volume loss method (VLM), on the behaviour of a tunnel built in an urban area, in terms of not only the surface settlement but also the structural lining forces, taking into account the effect of segment joints. A technique that can be used to simulate the tunnel wall displacement process, based on the principles of the VLM, has been developed using the FLAC^3D finite difference program (Itasca in FLAC fast Lagrangian analysis of continua, version 4.0; User’s manual, http.itascacg.com, 2009). A comparison with 3D numerical results has been introduced to estimate the precision of these 2D equivalent approaches. The results have shown a significant influence of the tunnel boundary deconfinement technique and segment joints on the tunnel lining behaviour and surface settlements. The structural forces obtained by means of the CCM are often smaller than those determined with the VLM for the same surface settlement. Generally, the structural lining forces determined by the CCM are in better agreement with the 3D numerical results than the ones obtained with the VLM. However, in order to obtain an accurate estimation of the structural forces, the impact of the construction loads during tunnelling should be taken into account.     

Analytical approach for circular-jointed shield tunnel lining based on the state space method

This paper presents a new analytical solution to the circular segmental tunnel lining subjected to overburden and surrounding earth pressures. The governing equations are derived by adopting the curved Euler beam theory and the principle of minimum potential energy. Based on the state space method, the displacements and the relevant energy-conjugated internal forces are treated as the fundamental unknown state vector and can be obtained by solving the state function. The inter-segment joints on the lining are modeled by a set of linear springs, including shear, compression, and rotation. The presented method allows for the arbitrary distribution of the segmented joints and loads along the circumferential direction. The most striking advantages of the proposed method include the rigid body displacement treatment, lining-displacement-dependent soil reaction, and internal force direction dependency of the joint stiffness. Using this method, the displacements and internal forces of the entire lining can be obtained conveniently and simultaneously under the arbitrary loading and joint distribution conditions. The verification of the analytical solutions is provided by several examples.     

穿越不同密实度饱和砂土地层的盾构隧道地震响应三维数值分析

地震液化对隧道结构有重大威胁,且位于不同抗液化能力地层交界处的盾构隧道段更易发生严重的地震破坏。采用三维数值方法研究穿越不同密实度状态饱和砂土地层的盾构隧道的地震响应规律。饱和砂土用一种描述不同密实度砂土液化行为的边界面模型进行模拟,首先通过隧道液化上浮的振动台试验结果验证该本构模型的合理性。其次,应用多自由度连接弹簧表征管片环间相互作用,采用文献中的拼装管片的逐级加载试验结果验证该方法的可行性。最后,建立穿越两种不同密实度饱和砂土地层的盾构隧道三维数值模型,研究相对密实度、输入加速度峰值和交界面倾角对砂土地层-盾构隧道系统动力响应的影响。结果表明,可液化地层中隧道结构位移模式是水平地震激励下产生的水平位移与由于液化上浮效应产生的竖向位移的耦合作用,加之隧道在不同土层中变形存在差异,从而导致隧道呈现扭转的变形形态。在靠近交界面处,隧道整体上浮量急剧变化且该处结构上浮量随着交界面倾角增大而增大,同时管片结构弯矩出现突变,接头螺栓的环间剪切和拉伸位移也显著增加。分析结果进一步印证地震作用下盾构隧道在不同性质饱和砂土地层交界面处更易破坏,在设计阶段应予以重点关注。     

深埋隧洞开挖数值模拟分析的纵向模型范围研究

模型范围是影响数值分析计算精度与效率的重要因素,针对深埋隧洞开挖数值模拟分析问题,采用有限差分软件FLAC3D和复合失稳准则,对计算模型的纵向范围取值问题展开研究。首先分析了深埋隧洞开挖过程中围岩纵向变形以及未开挖岩塞对围岩变形的约束作用,然后研究了近端边界和远端边界对监测断面位置处围岩变形的影响,最后采用最小二乘法对多组计算结果进行了位移误差分析,并给出了纵向模型范围的取值建议。研究结果表明,当监测断面距掌子面大于10倍洞径时,未开挖岩塞的约束作用基本消失;远端边界以及近端边界与监测断面的最大位移误差值之间均基本满足幂函数关系,且远端边界对监测点位移误差的影响要大于近端边界;深埋隧洞开挖数值模拟中,纵向模型范围取7.5倍洞径即可满足一般数值分析的精度要求。     

An analytical solution for a jointed shield‐driven tunnel lining

This paper presents an analytical solution for the prediction of internal forces and displacements of a jointed segmental precast circular tunnel lining. The effects of joint stiffness on the performance of the tunnel lining are discussed. The ‘force method’ is used to determine the internal forces and displacements of jointed tunnel lining. Five shield‐driven tunnel cases are adopted to study the effects of joint stiffness, soil resistance, joint distribution and joint number on the internal forces and displacements of circular tunnels. Laboratory model tests are conducted to verify the proposed analytical solution. Copyright © 2001 John Wiley & Sons, Ltd.     

Analysis of the Dynamic Performance of an Underground Excavation in Jointed Rock under Repeated Seismic Loading

Results from field observations of dynamic behaviour of an underground excavation have been compared with numerical studies of the rock deformation history. The field behaviour shows progressive accumulation of rock displacement and excavation deformation under successive episodes of dynamic loading. It is possible to reproduce the modes of rock response quite well using a Distinct Element model of the rock mass, but the way displacements develop is dependent on the joint model used in the analysis. It is suggested that, in rock masses subject to repeated dynamic loading, excavation design may need to take account of the prospect of repeated episodes of transient loading at the excavation site.     

Numerical investigation of tunneling in saturated soil: the role of construction and operation periods

This paper numerically investigates the slurry shield tunneling in fully saturated soils with different hydraulic conductivities in short- and long-term scales. A fully coupled hydromechanical three-dimensional model that accounts for the main aspects of tunnel construction and the hydromechanical interactions due to tunneling process is developed. An elasto-plastic constitutive model obeying a double hardening rule, namely hardening soil model, is employed in the numerical simulations. The research mainly focuses on assessing the influence of soil hydraulic conductivity and the method to simulate backfill grouting in the tail void on the evolution of ground subsidence, excess pore water pressure and lining forces. Two different consolidation schemes have been taken into account to computationally address the tunnel construction in soil with low and high hydraulic conductivities. In addition, different methods are employed to simulate the tail void grouting as a hydromechanical boundary condition and to study its effects on the model responses. Finally, the influences of infiltration of the fluidized particles of grouting suspension into the surrounding soil and its corresponding time–space hydraulic conductivity evolution on the displacements and lining forces are studied.     

穿越黏滑断层分段接头隧道模型试验研究

数次大地震震害调查表明,隧道穿越断层处是受地震破坏较为严重的区域。为此,基于地震动能量的传播与释放特征,建立了一种穿越断层隧道结构抗减震的设计理念,并提出了一种穿越断层隧道节段接头形式。以跨断层龙溪隧道为依托,采用振动台模型试验研究了单一错动方式与断层错动-震动综合加载方式下带有接头的衬砌结构响应。研究结果证明：强震作用下,地震波对穿越断层隧道的影响是不可忽略的,断层错动-震动综合加载方式是合理的;新型接头能够自身适应性变形协调减轻隧道结构震害,节段间接头的设置改变了隧道的变形形态,提高隧道整体抗震能力;同时减小了衬砌的环向破坏,消弱了节段间地震力的传递,实现了衬砌震害的局部化。由于接头的设置,上盘隧道结构震害集中在距断层1.8倍洞径的范围内,下盘处隧道衬砌震害集中在距断层1.2倍洞径范围内;上盘的衬砌震害主要是由错动-震动联合作用造成的,而下盘衬砌震害主要受地震动的影响。     

Advance numerical simulation of tunneling by using a double shield TBM

Double shield TBMs are amongst the most technically sophisticated excavation machines in use by tunneling industry. However, using the shielded machine limits access to the walls for observation of ground conditions and presence of shield makes the machine susceptible to entrapment or seizure in weak rocks under high stresses which results in high convergence. To realistically evaluate the possibility of machine seizure in such grounds, the interaction between the rock mass and shields, lining and backfilling need to be understood. This study explains the application of numerical analysis for 3D simulation of mechanized tunneling by using a double shield TBM. For this purpose, a comprehensive numerical simulation is developed to systematically evaluate the potential of excessive ground convergence. Simulation results at five reference points on the tunnel circumference along the tunnel have been examined. The results are including longitudinal displacement profile (LDP) as well as contact force profiles (LFP) on both front and rear shields, frictional forces and required thrust to move the machine, stress history of ground, and estimated loading of the segments. The results also proved that numerical analyses can successfully be used for prediction of loads on the shield during excavation to assess risks of machine entrapment.     

浅埋偏压隧道洞口坍方数值分析与处治

某公路隧道在进洞时出现坍方。针对该隧道工程的实际情况,建立数值分析模型,采用ANSYS程序模拟隧道施工力学行为,从围岩塑性区分布、位移以及锚杆和混凝土衬砌内力分布情况分析隧道变形和坍塌发生的原因。结果表明：隧道浅埋偏压、围岩力学性质差及施工支护不当导致坍方。结合工程实际提出洞内加固、地表注浆加固及开挖控制的综合处治方法,取得了理想的效果,为日后类似工程提供借鉴与参考。     

Nonlinear analysis of NATM tunnel construction with the boundary element method

This paper presents a novel approach to the simulation of NATM tunnel construction using the Boundary Element Method (BEM) as principal numerical method. This new approach has the advantage that only the excavation surface, the possible plastic zones and the tunnel lining have to be discretised. The whole rock mass is represented by the BEM whereas the Finite Element Method (FEM) is used to represent the tunnel lining only. Thus, a general coupling strategy for coupling three-dimensional boundary elements with shell finite elements (shotcrete) and beam finite elements (steel arches) is presented. To achieve realistic results the effect of hydration of the shotcrete and yielding of the steel arches is considered in the excavation process. Furthermore, the nonlinear rock behaviour is modelled more realistically by using a powerful hierarchical constitutive model which considers a large range of rock materials. The combination of these ideas results in higher user-friendliness and efficiency. Some verification tests and practical applications in tunnelling are presented.     

Effect of the Blocking Water and Limiting Discharge and Surrounding Rock Permeability on the Stability of Subsea Tunnel

The influence of the sealing degree of the lining structure and the permeability of surrounding rock on the stability of the tunnel has always been the main topic concerned by the relevant engineering researchers. Based on the research background of the tunnel project of Qingdao metro line 1 and the in-depth analysis of the existing research results, this paper makes a systematic analysis and research on the influence mechanism of the sealing degree of the lining structure and the permeability of surrounding rock on the stability of the tunnel by the numerical simulation. The results show that the safety coefficient of each part of lining structure decreases with the increasing degree of tunnel sealing, which is manifested by the increase of the settlement of the vault and the convergence of the arch foot. In addition, the stability of surrounding rock becomes worse with the increase of permeability coefficient of surrounding rock, which means the higher pore pressure and larger displacement of rock around the chamber. At the same time, the influence of the sealing degree of the lining structure on the stability of the tunnel will increase with the permeability of the surrounding rock. The works in this paper have guiding significance for the construction of submarine tunnel under different characteristics of surrounding rock and the selection of sealing degree of lining structure.

     

不等跨连拱隧道施工全过程的有限元模拟

用同济曙光岩土及地下工程设计与施工分析软件(GeoFBA2D),对某高速公路不等跨连拱隧道的施工全过程进行有限元模拟。得出隧道围岩应力、围岩位移、初衬与二衬的接触压力、中墙内力随施工过程的变化规律。研究表明,大洞的拱顶最大拉应力是小洞的4倍,不等跨效应十分明显;小洞拱顶沉降明显分为三个阶段;小洞的初衬与二衬的接触压力要比大洞大;中墙内力随施工过程变化显著,但最终值很小。结论对隧道设计和施工具有科学指导意义。     

走马岭隧道复杂围岩施工力学及稳定性分析

采用三维弹塑性有限元数值仿真模拟,对隧道围岩内部位移监测成果进行了深入的分析.分析认为,围岩的初期支护结构基本达到极限强度,但围岩的屈服区厚度较小,松动圈所在深度小于0.5m;下台阶开挖对拱腰收敛位移影响较大、对拱顶下沉位移影响较小.同时,测点距掌子面1倍洞径和1.5倍洞径时,拱顶下沉位移及水平收敛位移分别趋于稳定.     

鄂北地区隧道洞口坡积土边、仰坡变形机制与进洞技术研究

坡积土隧道洞口边、仰坡在开挖后自稳能力差,且受隧道开挖影响,易发生破坏,导致隧道工程无法正常施工,并带来经济损失、危害施工人员安全。本文以香山隧道为工程背景,依据隧址地形地质,建立了隧道洞口边、仰坡的三维仿真模型,结合隧道进洞开挖,分析了洞口边、仰坡的位移和应力变化过程,研究了隧道开挖对边、仰坡的影响,优化了隧道进洞方案。研究结果表明,边、仰坡开挖坡度与原始坡度突变处会产生应力集中并形成贯通的潜在滑移面,隧道开挖对仰坡变形影响较大,坡形坡度对隧道洞口边、仰坡稳定性具有显著影响,放缓坡度和采用分步台阶开挖可有效改善边坡应力应变状态。     

盾尾非对称推力作用下盾构隧道纵向变形分析

盾构机在沿曲线掘进或轴线纠偏过程中,盾尾非对称推力会在管片端部产生附加弯矩,从而引起隧道发生纵向变形。现有解析方法多是将盾构隧道简化为等效连续梁,不能考虑隧道管片环间接头的弱化。首先,建立一种能够同时考虑环间张开和剪切错台的简化纵向梁-弹簧盾构隧道模型（simplified longitudinal beam-spring shield tunnel model,简称SLBSM）;其次,将在建隧道简化为Winkler地基上的SLBSM,采用状态空间法推导了非对称推力作用下盾构隧道纵向变形解析解答。通过与既有文献有限元及现有两种连续梁模型计算结果进行对比,验证了所提方法的可靠性和适用性,并对部分参数进行敏感性分析。研究结果表明：连续梁模型计算得到的隧道纵向位移表现为连续特征,而所提方法得到的隧道纵向位移表现为非连续特征,隧道纵向位移在接头处会发生突变;通过参数分析可知：增大接头转动刚度可有效降低隧道隆起和环间张开量;增大接头剪切刚度可有效降低环间错台量,但会导致隧道隆起和剪力的增加;增大地基刚度能显著降低隧道环间张开量和隆起,但会导致环间错台量的增加;管片始端轴力对隧道纵向变形的影响不可...     

黄土隧道施工方案的数值分析

黄土隧道围岩不同开挖与支护施工方案的数值分析,对了解黄土隧洞变形破坏机理以及黄土隧洞设计施工理论具有重要意义。对黄土隧道围岩采用中壁法和双侧壁导坑法开挖各3种不同支护顺序分别进行了模拟计算,考察了各个施工工序地表最大沉降量、隧洞拱顶最大下沉量、围岩塑性区分布、衬砌单元弯矩以及岩体总应变能变化。计算结果表明,从开挖方法来说,双侧壁导坑法要优于中壁法;从支护顺序来说,滞后支护要优于及时支护。此结果可为黄土隧道工程设计施工提供参考。     

考虑隧道降水和开挖施工过程的三维地面沉降模拟

明挖法是隧道施工中常用的一种方法,但其降水和开挖施工不可避免地会引起周围地面沉降.为了防止隧道施工对周围环境及建筑物产生严重的不良影响,地面沉降控制是检验施工支护设计合理性的关键.隧道施工造成地面沉降的主要原因有降水、开挖和支护作业,以往研究大多集中于单一因素的影响分析,为使分析结果更接近于工程实际,需将三者综合考虑,...     

基于非完整拱效应的软岩隧道掌子面变形及其控制研究

为研究大断面软岩隧道掌子面变形规律及控制方法,基于新意法及非完整拱效应理论对雷公山隧道构造破碎区域掌子面大变形失稳机理进行分析,基于GSI围岩评级系统获得隧道围岩的力学参数,通过FLAC3D构建隧道三维数值模型,进行系列工况试验,研究隧道在非完整拱部效应时掌子面挤出位移及预收敛位移的变化特征,分析隧道掌子面预约束及预加固措施对大断面软岩隧道稳定性的影响。结果表明,掌子面处的挤出位移均在内轮廓中心处达到最大,并呈环形逐渐向外减小,超前核心土预加固在掌子面中心处对挤出位移及预收敛位移影响最为明显;隧道开挖在掌子面纵向造成的扰动范围约为1.2倍洞跨,在掌子面径向造成的扰动大约为1.5倍洞跨;根据计算结果提出掌子面加固措施,通过对隧道预收敛变形及挤出变形的监测分析,验证支护方案的可靠性,提出的掌子面预约束及预加固措施对大断面软岩隧道施工具一定的借鉴意义。