基于粘性-滑移界面接触模型半空间隧道衬砌对平面P波的散射

基于粘性-滑移模型模拟隧道衬砌和围岩之间的接触状态,采用间接边界积分方程法求解弹性半空间中隧道衬砌对平面P波的散射,着重考察了地表位移放大和衬砌动应力集中效应。结果表明:接触滑移边界的刚度系数和粘度系数对隧道衬砌的动应力分布影响较大,滑移刚度较小时,共振频率段动应力集中效果更加显著;随着粘度系数的增大,衬砌内部环向应力幅值逐渐减小。另外,界面刚度系数和粘度系数对隧道衬砌动力反应的影响程度也受控于入射频率和角度。     

地震波斜入射下层状场地中地下综合管廊地震响应分析

利用黏弹性人工边界和等效地震荷载时域波动输入方法,结合土层和半空间的精确动力刚度矩阵,实现了地震波斜入射下层状场地地下综合管廊地震反应分析,建立了不同场地条件下地下综合管廊分析模型。计算结果表明:地震波倾斜入射情况下,综合管廊结构地震响应与垂直入射时具有显著差异,一般SV波以30°临界角附近入射时结构地震反应最为剧烈;地下综合管廊动应力集中主要分布在管廊角部、中柱上下端;成层土波速结构变化对地下综合管廊地震反应亦具有显著影响。总体上看:当穿越软夹层时管廊结构地震反应更为剧烈,且覆盖层越厚,管廊结构内力幅值越大。因此地下综合管廊结构抗震设计宜考虑地震波倾斜入射及场地土层性质的影响。     

地铁隧道群对地震动的放大作用

本文采用有限元方法在时域内研究了基岩上均匀场地中隧道群对地震动的放大作用,分析了隧道间距、人射地震波频谱等因素对隧道群附近地表地震动反应谱的影响.研究表明,隧道群对地震动具有显著的放大作用,放大作用的大小与隧道间距和人射地震波频谱有着密切关系;隧道之间存在相互作用,加速度峰值的最大值多大于单隧道情况,且水平加速度峰值的...     

SV波入射下饱和地层浅埋平行隧道动力响应机制

目前城市核心区交叠紧邻的隧道群大量涌现,其抗震安全性问题日益突出,但近邻隧道之间以及与地层的动力相互作用机制尚不清晰.本文针对饱和地层浅埋平行隧道,基于Biot两相介质理论,采用边界积分方程法分别建立了饱和地层水平和竖向双线隧道动力作用分析模型,并与典型算例精确解对比验证了本模型的有效性;在此基础上,研究了SV波入射频...     

Simulation of tunnel response under spatially varying ground motion

Various components including wave scattering, wave passage, and site amplification effects cause the ground motion to vary spatially. The spatially varying ground motion can significantly influence the dynamic response of longitudinal structures such as bridges and tunnels. While its effect on bridges has been extensively studied, there is a lack of study on its effect on underground tunnels. This paper develops a new procedure for simulating the tunnel response under spatially varying ground motion. The procedure utilizes the longitudinal displacement profile, which is developed from spatially variable ground motion time histories. The longitudinal displacement profile is used to perform a series of pseudo-static three-dimensional finite-element analyses. Results of the analyses show that the spatially variable ground motion causes longitudinal bending of the tunnel and can induce substantial axial stress on the tunnel lining. The effect can be significant at boundaries at which the properties of the ground change in the longitudinal direction.     

近距离垂直交叠地铁盾构隧道的动力响应分析

以郑州地区某地铁隧道段为工程背景,采用三维精细化管片和正交各向异性圆环衬砌模型模拟隧道结构,将地铁列车运行荷载简化为人工激励函数,构建地铁列车运行对相邻近距离垂直交叠隧道动力响应的数值模型,对不同列车位置、隧道结构、列车速度、隧道净距等工况下近距离垂直交叠相邻隧道的竖向振动响应、影响范围和动应力进行分析。研究结果表明:上隧道运行列车对下部近距离隧道的拱顶的振动影响较大,其他区域影响较小;下隧道运行列车对上部近距离隧道的振动影响整体较小;采用错缝拼装有利于降低近距离垂直交叠隧道在交叠段的振动影响;上隧道列车在启动加速阶段和达到最高速度行驶两个阶段对下隧道拱顶的加速度影响较大;随着隧道净距的减小,上隧道列车引起近距离交叠垂直隧道的下隧道的拱顶竖向加速度显著增加,交叠区域的整体振动最强烈,当远离交叠段1倍洞径后,净距对加速度值的影响可忽略不计。     

隧道与联络通道连接处地震响应分析

联络通道是长距离盾构隧道结构中不可缺少的部分,常设置于两条隧道之间,用于逃生、防火及排水等。与此同时,联络通道与隧道的连接处构造复杂,空间效应明显。在地下结构截面突变处,在地震荷载作用下易产生应力集中,造成结构的破坏,从而带来不可估量的震害。基于有限差分软件FLAC^3D,以天津的典型粉质黏土为例,建立双线并行隧道及联络通道的三维模型,对场地施加正弦波,分析隧道与联络通道连接处的应力和变形情况,并探讨隧道结构埋深、联络通道的直径和长度等对连接处地震响应的影响。基于Fish语言,建立能模拟不同地震波入射方向有限差分模型,计算表明不同地震波入射方向对结构连接处受力具有显著影响。     

卵石土场地地震反应特征振动台试验研究

为研究卵石土场地地震反应特征,基于四川成都典型卵石土场地,通过振动台模型试验研究卵石土场地在不同地震波、不同地震强度激励下的加速度峰值放大系数、加速度频谱反应及动土压力反应,并且对其场地地震反应非线性效应及土体动剪应力-动剪应变关系进行分析。结果表明：卵石土场地表层土层对地震波具有明显的放大效应,加速度峰值放大系数介于1～1.4之间,下部土层放大效应较小,加速度峰值放大系数介于0.9～1.2之间。卵石土场地对地震波具有低频放大,高频滤波的作用,滤波频率上、下限随激励强度的增大逐渐向低频方向移动。激励强度较小时,土体尚未破坏,动土压力在地震过程中逐渐增大;随着激励强度的增大,动土压力反应明显增大,表现出骤减后逐渐增大的现象。在激励强度较小时(SN1),中部土体最先进入非线性反应阶段,地震波在中部土层能量损耗最大;激励强度较大时(EL3),土体均发生了较大变形,土体最大动剪应变达到1.7%,此时卵石土场地对地震波的放大作用明显减弱。     

Seismic ground amplification induced by box-shaped tunnels

The growing use of underground structures, specifically to facilitate urban transportation, highlights the need to scrutinize the effects of such spaces on the seismic ground response as well as the surrounding buildings. In this regard, the seismic ground amplification variations in the vicinity of single and twin box-shaped tunnels subjected to SV waves have been investigated by the finite difference method. To evaluate the effects, generalizable dimensionless diagrams based on the results of parametric numerical analysis considering factors such as variations in the tunnels’ depth, the distances between the tunnels, tunnel lining flexibility, and input wave frequency, have been presented. In addition, to assess the effects of underground box-shaped tunnels on the response spectrum of the ground surface, seven selected accelerograms have been matched based on a specific design spectrum for the stiff soil condition of Eurocode 8 (CEN, 2006). The results underline the significant amplification effect of the box-shaped tunnels on the ground motions, specifically in the case of horizontal twin tunnels, which should be given more attention in current seismic design practices for surface structures.

     

强震作用下黄土隧道洞口段地震动放大效应研究

针对黄土地区山岭隧道面临的强震灾害现实特点,以强震作用下洞口周边土体与隧道结构的地震动放大效应为主要研究目标,通过建立三维数值模型,重点研究不同坡度、坡高与入洞高程模型的坡面高程方向、水平方向以及衬砌结构的加速度与位移响应规律,提出坡面加固区范围和隧道抗震设防长度建议值。研究结果表明:仰坡高度、坡角及进洞高程的变化,均会对隧道洞口段地震响应规律和破坏模式产生重要影响,缓坡易发生坡底处的剪切破坏,而陡坡易发生坡顶的拉裂破坏;随着边坡高度的增大,边坡的滑动破坏范围逐渐增大;隧道的存在对坡面地震动高程放大效应有明显"抑制"作用,在洞口水平向存在动力响应放大区,范围为2.1～2.8倍洞径;通过分析隧道衬砌沿进深方向的动力响应规律,建议黄土隧道洞口段抗震设防长度最小值为3倍洞径。     

Seismic response of lined tunnels in the half-plane with surface topography

In this work, we examine the seismic response of multiple tunnels reinforced with liners and buried within the elastic homogeneous half-plane in the presence of surface relief. The seismic waves are upward propagating, time-harmonic, horizontally polarized shear (SH) waves. More specifically, we examine: (a) the scattered wave fields along the free surface and inside the half-plane with the embedded tunnels; (b) the dynamic stress concentration factors that develop at the soil-liner interfaces; (c) the stresses and displacements that develop inside the tunnel liners. We use a sub-structuring technique that is based on the direct boundary element method to model each constituent part of the problem separately. Then, assembly of the full problem is accomplished through the imposition of compatibility and equilibrium conditions at all interfaces. Next, a detailed verification study is carried out based on comparisons against available analytical and/or numerical results for a series of test examples. Subsequently, detailed numerical simulations are conducted and the results of these parametric studies reveal the influence of the following key parameters on the soil-tunnel system response: (a) the shape of the free-surface relief; (b) the depth of placement of the tunnels and their separation distance; (c) the SH-wavelength to tunnel diameter ratio; (d) the elastic properties of the tunnel lining rings and (e) the dynamic interaction effects between the free-surface relief and the tunnels.     

大型引水隧道在平面地震波入射下动力响应的解析解

本文以波函数展开法为基础,给出了SV波与P波入射时大型引水隧道平面地震响应的解析解.并根据解析解,利用数值方法对建立的场地模型进行了计算分析,研究了隧道结构-水体体系的地震响应.重点讨论了入射波频率、入射角、衬砌力学性能对衬砌结构动力响应的影响.分析表明,大型引水隧道动力响应受入射波频率和入射角的影响较为明显,而衬砌力...     

液化场地区间隧道地震响应分析

为研究液化场地区间隧道的动力响应,利用FLAC^3D软件分析一致激励、局部液化和行波激励对隧道结构动力响应的影响。计算结果表明:地基土液化改变了隧道衬砌的受力状态,衬砌的破坏位置由非液化场地的拱肩和拱脚处转成了液化场地的仰拱和拱腰位置;与液化场地相比,隧道穿越局部可液化土层时,破坏位置扩展到衬砌整个断面;与一致激励相比,行波激励使衬砌的主应力增大、主应力分布改变并承受扭转作用。     

三维沉积盆地对地震动的放大效应间接边界元法模拟

基于一种高精度间接边界元法(IBEM), 实现了沉积盆地三维地震响应的频域、 时域精细求解, 并以半空间中椭球形沉积盆地对平面P波和SV波的散射为例, 着重探讨了入射角度、 入射波型、 入射频率、 盆地长宽比和深宽比对沉积盆地地震动放大效应的影响规律． 结果表明: 盆地形状对地震波的放大效应和空间分布状态具有显著影响, 且具体规律受控于入射波频段． ① 随着盆地深度增大, 盆地边缘面波发育更为充分, 在较宽频段内均会出现显著的地震动放大效应, 且深盆地的放大区域集中于盆地中部． ② 圆形盆地对地震波的汇聚效应最为显著, 而狭长盆地对地震波的汇聚作用相对较弱, 高频情况下可在盆地内部形成多个聚焦区域． ③ 不同波型入射下, 盆地对地震动放大效应的机制有所差异: P波入射下, 竖向位移放大主要是由于盆地边缘面波由四周向中部汇聚所致; SV波入射下, 边缘面波汇聚效应相对较弱, 而当盆地较深时, 底部透射体波和边缘面波易形成同相干涉从而显著放大地震动． 按盆地内外介质波速比为1/2, P波和SV波垂直入射下频域最大放大倍数分别为25和15, 时域放大倍数约为4.0和3.7(雷克子波)． ④ 低频波入射下, 位移从盆地中部向边缘逐渐减小, 且浅层沉积盆地对地表位移幅值的放大作用不明显． ⑤ P波和SV波的入射角度对盆地地震动放大幅值及空间分布特征也具有显著影响．      

地震SV波斜入射下沉管隧道的地震响应分析

在ABAQUS黏弹性人工边界时域波动方法的基础上,首先运用等效应力输入方法实现地震SV波倾斜入射,半空间算例验证该方法具有较好的计算精度,进而基于所建立的斜入射方法研究地震波斜入射对海河沉管隧道地震响应的影响。计算结果表明:SV波斜入射情况下,沉管隧道的地震响应规律与垂直入射时具有明显差异;随入射角增加,沉管隧道结构应力增大,应力较大点出现在沉管隧道的四个角点及隔墙与底板、顶板的连接处,其中中隔墙为最薄弱点;随入射角增加,侧墙和隔墙的相对最大水平位移增大,其中中隔墙位移最大;随入射角增加,沉管隧道结构竖向加速度峰值明显增大。因此在沉管隧道结构抗震设计中应考虑地震波斜入射的影响。     

衬砌背后空洞对隧道抗震性能影响分析

目前关于隧道震害问题的研究主要集中于隧道洞门和洞口段,实际上仍有不少洞身衬砌在地震中产生严重震害,其中一个重要原因便是衬砌背后存在空洞或者回填不密实。通过大型有限元软件ABAQUS,采用无限元边界解决地震波的反射震荡问题,研究衬砌背后空洞对隧道的地震动力响应的影响。通过分析得到:密实状态下,即使在较大地震动力作用下,衬砌结构仍处于良好的受压状态;一旦衬砌背后存在空洞,地震作用下脱空区衬砌产生很大拉应力,可能导致衬砌开裂坍塌;同时,空洞处周边围岩产生塑性区,易引起岩体松弛掉落冲击衬砌。     

基于流固耦合动力模型的饱和土体-隧道体系地震反应研究

基于ABAQUS软件平台,应用自行开发的流固耦合动力模型孔压单元模拟场地土体,并通过黏弹性人工边界方法实现地震动的输入,对饱和土体场地中的双孔隧道结构在地震荷载作用下的动力反应进行研究。计算结果表明:在地震反应结束时刻,场地土体位移幅值在两隧道之间以及两隧道的附近区域较大,而远离隧道的区域则较小;场地底部区域土体的孔压幅值较大,而场地顶部区域土体则较小;隧道左右两侧拱腰部位的衬砌的应力较大,而拱顶部位则较小。计算结果同时表明了流固耦合动力模型孔压单元在饱和土体-隧道体系地震反应研究中的适用性。     

双向地震耦合作用下浅埋偏压黄土隧道共振特性研究

历次震害表明隧道等地下结构受地震影响较大,当地震动的卓越频率与结构的固有频率一致时,引发的共振会对结构产生更严重的破坏。针对共振这一地震中的特殊现象,通过ANSYS分析研究浅埋偏压黄土隧道在双向地震耦合作用下隧道衬砌各处的共振响应和围岩至衬砌段共振响应峰值的变化规律,同时考虑偏压角度和断面最大跨径对共振响应峰值的影响。研究结果表明：浅埋偏压黄土隧道具有多阶固有频率,衬砌的位移和应力均出现了共振现象且共振不表现出结构的自振频率特征;从围岩至衬砌段的共振响应具有放大效应;水平位移峰值随偏压角度的增大而减小;适当增大断面最大跨径对于抵抗共振是有利的;拱腰和拱脚处的主应力受共振影响较大,在隧道的抗震设计中应予以加强。     

Dynamic response of an eccentrically lined circular tunnel in poroelastic soil under seismic excitation

An exact analysis for two-dimensional dynamic interaction of monochromatic progressive plane compressional and shear seismic waves with a permeable circular tunnel lining of circumferentially varying wall thickness buried in a boundless porous elastic fluid-saturated formation is presented. The novel features of Biot dynamic theory of poroelasticity in conjunction with the translational addition theorems for cylindrical wave functions, along with the appropriate wave field expansions and the pertinent boundary conditions are employed to develop a closed-form solution in form of infinite series. The analytical results are illustrated with numerical examples in which an air-filled and water-saturated permeable tunnel lining of variable wall thickness, embedded within water-saturated surrounding formations of distinct frame properties (soft, stiff, and stiff viscoelastic soil), is insonified by fast compressional or shear waves at selected angles of incidence. The effects of liner eccentricity, interface permeability, formation material type, incident wave frequency, and angle of incidence on the hoop stress amplitude are evaluated and discussed for representative values of the parameters characterizing the system. Limiting cases are considered and good agreements with the solutions available in the literature are obtained.     

Seismic ground amplification by unlined tunnels subjected to vertically propagating SV and P waves using BEM

Recent researches have revealed that the seismic ground response above tunnels can be different from the free-field motion during earthquakes. Nevertheless, to the best of the authors׳ knowledge, neither building codes nor seismic microzonation guidelines have yet considered this matter. In the present study, the seismic response of a linear elastic medium including a buried unlined tunnel subjected to vertically propagating incident SV and P waves are addressed. For analysis purposes, a numerical time-domain analysis is performed by utilizing a robust numerical algorithm working based on the boundary element method. It is observed that the amplification of the ground surface underlain by a tunnel is increased in long periods. The variation of the amplification factor and characteristic period of the medium versus the buried depth of the tunnel are depicted as the major results of this study. Some simple and useful relations are proposed for estimating the seismic microzonation of the areas underlain by tunnels. These relations can also be used for the preliminary seismic design of structures located on underground structures.