Tunnel flexibility effect on the ground surface acceleration response

Flexibility of underground structures relative to the surrounding medium, referred to as the flexibility ratio, is an important factor that influences their dynamic interaction. This study investigates the flexibility effect of a box-shaped subway tunnel, resting directly on bedrock, on the ground surface acceleration response using a numerical model verified against dynamic centrifuge test results. A comparison of the ground surface acceleration response for tunnel models with different flexibility ratios revealed that the tunnels with different flexibility ratios influence the acceleration response at the ground surface in different ways. Tunnels with lower flexibility ratios have higher acceleration responses at short periods, whereas tunnels with higher flexibility ratios have higher acceleration responses at longer periods. The effect of the flexibility ratio on ground surface acceleration is more prominent in the high range of frequencies. Furthermore, as the flexibility ratio of the tunnel system increases, the acceleration response moves away from the free field response and shifts towards the longer periods. Therefore, the flexibility ratio of the underground tunnels influences the peak ground acceleration (PGA) at the ground surface, and may need to be considered in the seismic zonation of urban areas.     

二维梯形沉积盆地放大效应的数值模拟研究

盆地效应作为场地效应的一种特殊类型,其对地震动的影响仍在持续研究当中。建立二维梯形沉积盆地模型,模型边界采用透射人工边界,利用显式有限元法作为求解方法。根据Buckingham提出的π定理定义了多个影响盆地效应的无量纲参数,包括盆地深宽比、介质波速比、盆地深度与入射波长之比、盆地开口宽度与入射波长之比。以Ricker子波作为输入波,研究SH波垂直入射盆地模型时,以上无量纲参数对盆地放大效应的影响。研究发现盆地深宽比越大盆地诱发的聚焦效应越明显,盆地深宽比越小盆地边缘效应越明显。在盆地的深宽比和入射波确定时,随着盆地开口宽度与入射波长之比不断增大盆地的最值放大系数逐渐从盆地中心移向盆地边缘,表现出越来越明显的边缘放大效应。其中波速比差异对放大系数的影响最大,波速比差异越大介质的波阻抗比越大,放大效应越显著。通过将影响盆地放大效应的参数无量纲化,使梯形盆地对地震动放大效应的研究的结论更具有普遍意义。     

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.     

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.

     

谱时程比方法及其在确定地铁沿线地层场地响应中的应用

利用在北京地铁4号线北京大学东门站附近地铁隧道内和地面场地观测得到的振动数据,提出一种基于独立信号的谱时程比方法,实现了从地铁振动和地面振动数据中提取地层场地响应信息以及土层中的振动衰减信息．该方法对同一观测点不同时间段观测数据的分析结果具有高度的稳定性,经验证与基于钻孔资料地层模型的半无限空间层状介质的理论传递函数的频率响应特征具有良好一致性．同时,基于该方法还对隧道壁与土层振动耦合以及观测点附近浅表土层非弹性吸收带来的综合等效衰减特征进行了评估．研究结果显示,北京大学东门站附近振动场地放大效应的峰值频率主要在3—10 Hz之间,受地铁振动的影响,场地效应在不同测点以及地铁沿线、 切线和铅垂线等3个不同方向显示出一定的差异．      

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...     

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.     

埋深对地铁车站地震反应的影响分析

关于埋深对地下结构地震反应的影响的研究对象多见于地下隧道,对地铁车站地震反应受埋深影响变化规律缺乏深入研究。本文基于ANSYS有限元软件,采用改进的简化方法建立三种不同埋深的地铁车站结构有限元模型,以两种基岩波的水平向和竖向地震动作为激励,求解各模型中地铁车站结构重要部位的地震反应。分析不同埋深时地铁车站结构惯性作用、侧面土体和上部土体三个因素对地铁车站地震反应的影响情况。分析结果表明:在双向地震作用下,地铁车站侧壁弯矩、剪力、轴力和中柱轴力随埋深的增加而增加,中柱剪力和弯矩随埋深增加而减少。埋深越深,侧面土体对地铁车站地震反应影响越大;上部土体使中柱轴力不断增加;结构自身的惯性作用对其地震反应的贡献逐渐减小。     

汶川地震黄土地区地震动特征分析

汶川地震黄土地区强地震动加速度峰值（PGA）较小,然而震害却较为严重,局部场地震害和地震动放大效应显著。选取四川、甘肃及宁夏境内的部分强震动记录,探讨传播距离和场地条件对地震动的影响规律,重点研究黄土地区地震动幅值、频谱、持时特征以及对建筑结构的潜在影响,从地震动特征角度分析该地区震害相对较重的原因。结果表明:汶川地震黄土地区地震动速度峰值较大,地震动中频分量和中长周期成分较为突出;黄土地区自振周期为0.3~1s以及3~4s（尤其是此周期内30~40层）的结构物地震反应将显著放大;设计地震分组为第三组的Ⅲ类黄土场地,加速度反应谱拟合曲线在周期1~3.5s谱值明显高于规范设计谱;黄土场地地表地震动拥有更长持时。     

山脊地形效应的强震动观测研究

根据强震动观测、实验研究与数值模拟结果表明,山脊地形对地震动具有显著影响。文章基于汶川地震主震及余震的三个地形效应观测台阵记录的三分量地震动加速度时程,经基线校正后计算得到各观测点的地面峰值加速度、峰值加速度比和反应谱比,分析山脊地形对地震地面运动的影响。结果表明：山脊地形对地震地面运动的影响显著,其地形地震效应随山脊地形的不同而变化,且地形效应具有方向性;水平向地形效应显著于垂直向;谱比是周期相关的,在所分析的周期范围内谱比不总是大于1.0。     

A new boundary element solution to evaluate the geometric effects of the canyon site on the displacement response spectrum

This paper presents a step-by-step procedure using the three-dimensional boundary element approach to study the behavior of semi-circular canyons under seismic shear waves. The boundary element code TDASC allows utilization for various canyon geometries, evaluation of concurrent seismic waves and calculation of the ground motions on canyons due to an excitation at any arbitrary point of the incident field. Considering the widening ratio of the canyon(including prismatic, semi-prismatic and non-prismatic canyons), wave characteristics(wavelength, dimensionless period, direction) and maximum amplification pattern, the solution was applied to carry out a series of parametric studies. It was shown that canyon form can significantly affect the displacement amplification, especially at the points located on its edges. By increasing the wave dimensionless frequency(η 1), the amplification pattern becomes more complex. On the basis of the results from a variety of considered cases, a new expression has been presented for the limiting wavelength beyond which the widening of the canyon will not have a major effect on the displacement amplification. To verify the reliability of the proposed approach, the obtained results, expressed in terms of displacement amplitude, were compared with those from the available published literature and a reasonably good agreement was observed.     

凸起地形对地震动特性的影响

采用基于ABAQUS平台的显式有限元动力学分析方法,结合人工黏弹性边界理论,研究了局部凸起地形对地震动特性(包括反应谱、峰值加速度、峰值速度和峰值位移等)的影响,分析了台地宽度对地形放大效应的影响.结果表明:凸起地形平台段空间点地震动受地形效应影响较大,在零阻尼条件下,其谱比曲线呈双峰特点,.8—0.9s的中长周期段谱比达到一个较大值1.6,在0.08—0.09s的高频段谱比超过2.0,且最大值出现在平台中点;对于凸起地形斜坡段,在大部分周期点处,顶点的谱比高于其它斜坡点,而且在周期超过0.4s的频段,斜坡段观测点的谱比表现出较明显的规律性,即越靠近顶点的观测点,其谱比值越大;坡底段地表不同观测点的谱比基本在脚点与计算边界点(人工边界点)对应的谱比值之间变化,在不同的频段均表现出较明显的规律性.凸起地形平台段宽度对地震动高频成分的放大效应具有较大影响,但只局限在一定的宽度范围内,随着宽度的增大,其对地形放大效应的影响逐渐减弱. 此外,台地宽度的变化对地震动峰值加速度的放大效应有一定的影响,而对峰值速度、峰值位移的放大效应的影响则不明显.      

HORIZONTAL-TO-VERTICAL SPECTRUM RATIO OF EARTHQUAKE GROUND MOTION FOR SITE CHARACTERIZATION

Nakamura's method, which uses a horizontal-to-vertical Fourier spectrum ratio of microtremor, has become popular to determine the predominant period and amplification of a site. In this study, this method is extended for earthquake ground motion recordings using new strong motion data recorded by JMA-87-type accelerometers. From the analysis of these accelerograms, horizontal-to-vertical Fourier spectrum ratios of a site for different earthquakes are also found to be stable irrespective of magnitude, distance and depth. To establish this fact, attenuation relations of velocity response spectra for horizontal and vertical components are derived for three damping ratios (0, 2 and 5 per cent) using the JMA data. Then the horizontal-to-vertical ratios of the velocity response spectra are obtained. The results show that the horizontal and vertical velocity response spectra are dependent on magnitude, distance and depth, but that their ratios are almost independent of magnitude, distance and depth. However, since the current data set consists of mostly intermediate to far field data, this observation should be limited to records of these distance ranges. Introducing station coefficients, representing site amplification, to this relation yields the value comparable to the horizontal-to-vertical Fourier spectrum ratio at a specific site. The stability of the spectrum ratio is explained by the transfer function between the ground surface and stiff-soil outcrop due to S-wave propagation. These results suggest that site amplification characteristics can be evaluated by one-point two-component surface recordings of earthquake ground motion, in a similar manner as proposed by Nakamura for microtremor. © 1997 by John Wiley & Sons, Ltd.     

SH波入射下圆弧状沉积盆地地震反应瞬态解析解计算

地震波散射问题的解析解是研究局部场地、地形、盆地等不规则地层结构对地震动参数放大效应影响的重要理论工具.现有解析解大部分在频域内给出,无法直接用于研究不规则地层结构对地震动峰值、反应谱等参数的放大效应.本文基于平面SH波入射下圆弧状沉积盆地动力响应宽频带稳态解析解,通过Fourier变换,获取瞬态响应解析解.基于此,研...     

Effects of three-dimensionality on seismic response of Gaussian-shaped hills for simple incident pulses

In this paper the boundary element algorithm which uses the time-convoluted traction kernels is applied to a numerical parametric study on the seismic behavior of three-dimensional Gaussian-shaped hills subjected to vertically propagating incident waves. All calculations were executed in the time-domain and the medium was assumed to have a linear elastic constitutive behavior. Results are discussed in both time and frequency domain with respect to the dimensionless parameters. It was shown that wave length and site geometry, including shape and dimension ratios and, to some extent, wave type are the key independent parameters governing hill amplification behavior. Comparing two- and three-dimensional hills with similar shape ratios, two-dimensional hill had greater characteristic periods, where the three-dimensional hill had greater maximum amplification potential. Three-dimensionality has a strong effect on the seismic responses of the hill; however the rate of seismic response variation with the three-dimensionality factor depends on the shape ratio. It was shown that two-dimensional behavior was dominant in low height three-dimensional hills, however, as the shape ratio increased, three-dimensionality effects appeared and the seismic response of the hill tends toward the axisymmetric three-dimensional hill.     

Free-field response from inclined SV- and P-waves and Rayleigh-waves

To identify the key features of the free-field response for inplane motion, a vast parametric study is performed, varying the location of the control point, the nature of the wave pattern and the site properties. Harmonic excitation for a site consisting of a layer on bedrock is investigated. The nature of the wave pattern producing the site response is classified with respect to the apparent velocity of the motion propagating horizontally across the site. When the control point is selected at the outcrop of the bedrock, the amplification of the motion to the free surface of the site depends on the angle of incidence of the incoming wave in the bedrock. The amplification of the vertical motion for incident P-waves hardly depends (with a tendency of being somewhat larger compared to vertical incidence) on the angle of incidence in the bedrock. The amplification of the horizontal motion for incident SV-waves is affected strongly by the angle of incidence, being larger or smaller than for vertical incidence. Interpreting the two components of the motion at the free surface as arising from a combination of incident P- and SV-waves leads to amplifications within the site (for the horizontal and vertical directions) which do not depend, from a practical point of view, on the angle of incidence and on the prescribed motion up to the fundamental frequency in the horizontal and vertical directions, respectively. The variation of the motion for the first Rayleigh-mode with depth in the two directions bears comparison, in general, with that of vertically incident waves up to the corresponding fundamental frequency. The higher Rayleigh-modes lead to a completely different variation with depth. In contrast to Rayleigh-waves the attenuation of the motion in the horizontal direction for inclined body waves depends on the damping of only the bedrock. Rayleigh-waves thus attenuate more strongly than body waves, especially in the higher-frequency range. Generally, higher Rayleigh-modes attenuate less than the first.     

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。     

基础类型对框架结构及场地土地震响应影响试验研究

本文设计独立基础框架和整体箱型基础框架结构模型,基于试验数据的对比分析,探讨基础类型与地震动特性对场地土以及结构自身地震响应的影响。试验结果及分析表明:地表结构的存在总体上是放大了地表加速度响应,放大最大幅度达到了40%,影响范围可达3倍的结构跨度,且具有一定埋深的箱型基础的影响大于浅埋独立基础。由于土体对独立基础的约束相对较弱,导致独立基础结构模型的加速度响应总体上大于箱型基础的;独立基础结构模型可能发生摇摆运动导致结构基础竖向响应的频谱特性含有较多的高频成分。另外,地震动特性对结构响应也较显著,其中脉冲地震动NR波的影响最为显著。     

山谷地形对入射SV波地震反应分析

基于黏弹性人工边界的显式动力有限元方法,研究了突出平台状山谷地形场地的地形效应,分析了山谷地形对地表地震动的影响.结果表明:(1)沿着地震动输入方向地表反应较其他方向上的反应强烈;(2)与单一凸起山体地形对地表地震动的放大效应相比,相邻地形的存在对地表地震动位移傅里叶谱谱比曲线的形状影响不大,但是对PGD有着较大的影响...     

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．