层状地基桩柱结构地震响应特性研究

为研究自然地质环境条件下非均质层状地基对结构物地震响应的影响,本文通过层状饱和土的刚度矩阵的建立,对不同夹层条件下的地基地震响应进行了对比研究。研究结果表明:相较于均质土层地基,由于非均质地基土层存在的非连续性界面,非均质夹层能明显影响地基的波动响应特征,对地震波有着显著的选择性滤波作用,尤其在含软夹层地基条件下能极大削弱入射波中的高频成分,而硬夹层则能极大滤除地震波中的低频成分。在对地基地震响应研究的基础上,通过对单桩和群桩码头结构的地震响应的数值模拟,对含夹层地基条件下不同刚度结构地震响应特性进行了对比研究。对比研究表明:对不同刚度的结构物,由于其固有自振频率的差异,不同夹层地基对其地震动力响应存在显著不同的影响规律,由于单桩结构较低的固有频率,使得其对低频波更为敏感,其固有振型在含软夹层地基条件下更容易被激发引起结构共振,而群桩结构则刚好相反,由于其更高的固有频率,在软夹层地基条件下由于高频波的滤除使得结构的地震动力响应显著降低,而在均质或含硬夹层条件下更容易激发其固有振型。通过对不同夹层地基条件下结构地震动力响应规律的研究,可以看出结构的地震动力响应同时受地基夹层条件以及结构自身动力特性的影响,相关研究结论可为非均质地基条件下的结构地震响应研究提供参考。     

层状地基空沟被动隔振分析

基于薄层法在研究层状介质中波的传播问题的高效性,边界单元法处理无限域问题的精确性,结合两者提出层状地基二次形函数薄层法基本解答, 建立了基于层状半空间薄层法位移基本解答的半解析动力边界元法,可以有效的分析多层场地的动力问题,解决土-结构动力相互作用问题.同时对上软下硬的典型层状地基中的空沟被动隔振效果进行了详细的分析.研究表明:对于上软下硬地基中空沟被动隔振,为取得与匀质弹性半空间中连续屏障隔振同样的效果,需要更深的深度,同时振幅衰减曲线会出现明显的振荡现象;为使隔振效果满足Richart要求,当表层土归一化深度H＜1.0时,空沟归一化深度T应大于1.3,而1.0≤H≤2.0时,T应当大于1.8.     

土-结构体系的分枝模态与约束模态混合二步法

为了在结构设计过程中考虑土-结构非线性相互作用的影响,在线性-非线性混合的约束模态法以及分枝模态法的基础上,提出了适用于土-结构非线性相互作用体系的分枝模态与约束模态的混合方法,该方法既可考虑土体和结构的非线性特性又便于考察土-结构相互作用对上部结构的影响。在分枝模态与约束模态混合方法的基础上,进一步提出了混合二步分析法,并将其应用到地基土-框架结构地震响应分析中,算例结果表明,混合二步分析法在实现上部结构和地基土分开计算的同时,还能够考虑结构与地基土的材料非线性特性,有利于采用专业设计软件仅通过对上部结构进行分析来考虑土-结构相互作用的影响,为实际工程计算考虑土-结构相互作用的影响提供了便利的条件。     

均质及双层地基土条件下环形沟隔振效果分析

为了探究均质地基和双层土地基条件下环形沟几何参数变化对其隔振区域的影响规律,及环形沟在不同地基土层中隔振效果的差异,本文建立缩尺比为1: 15的模型试验,以地基土类型、环形沟深度、宽度及圆心角为研究变量,通过开展具体试验进行探究。结果表明:在均质地基和双层土地基环形沟隔振中,环形沟宽度变化对其隔振效果影响较小,环形沟深度及圆心角是影响其隔振效果的重要参数,且深度和圆心角越大,隔振效果越好,但当地基土为成层土地基,环形沟深在临近土层分界面深度增大时,环形沟隔振效果相对减弱;在均质地基和双层土地基中,相同参数条件下,均质地基土较双层地基土具有更好的隔振特性;振源与环形沟之间及环形沟末端位置区域由于振动波的传播特性存在振动增强区域。     

三维层状地基空沟主动隔振分析

基于薄层法在研究层状介质中波的传播问题的高效性、边界单元法处理无限域问题的精确性,结合二者的优点提出三维层状地基薄层法基本解答,建立了基于三维层状半空间薄层法位移基本解答的半解析动力边界元法。该方法可有效的分析多层场地的动力问题,解决土-结构动力相互作用问题。同时分别对粘弹性上软下硬地基及上硬下软地基的三维空沟主动隔振进行了详细的分析。结果表明,两种情况下采用空沟屏障隔振均可以取得一定的隔振效果;同时,地基分层参数对空沟隔振体系的隔振效果影响显著。     

不滑移状态下深埋圆形隧道地震响应研究

地下结构的地震响应主要取决于由地震波传播产生的土体变形与土结相互作用。剪切波传播过程中将会引起隧道衬砌的椭圆化变形,进而降低衬砌有效承载力。剪切波作用下的深埋圆形隧道可认为处于均质的纯剪状态,基于相对刚度法的拟静力解析解可充分考虑土结相互作用对隧道结构内力的影响。基于此,本文将通过有限元数值分析获得的自由场地地基变形引入不滑移状态下深埋圆形隧道内力求解公式,并结合二维和三维数值模拟途径,将动力分析结果与解析解结果进行对比分析,以评价各种解析方法的适用性和数值途径的可靠性。     

穿过青藏高原的面波传播路径与速度结构

利用时频偏振分析技术分析穿过青藏高原不同地区的基阶Love波的偏振方向,确定不同周期的Love波到达台站的入射方向对于大圆的偏离．结果表明,在青藏高原内部传播的Love波传播路径基本不偏离大圆路径,穿过青藏块体及川滇西部低速区边界的Love波明显偏离大回路径低速区（青藏高原及川滇西部）的边界区域速度变化梯度大,对路径影响大．低速区内部路径偏离不明显,内部速度变化梯度比边界区域速度变化梯度小．低速区内大约在青藏高原中部位置是面波速度最低的地方．面波路径对于大圆路径的明显偏离,是由于速度结构的横向不均匀性造成的．利用已知的相速度分布,采用射线追踪方法正演计算的结果与实测结果在偏离方向上是一致的,但偏离角的值则比实测值小．     

弯曲模式波在各向异性井孔中传播的实验研究

鉴于弯曲模式波在井孔中传播的基本原理，制作了用于模型井孔的单／偶极子换能器，在模拟硬、软地层的铝和有机玻璃的井孔模型中进行了测量，并与理论计算的频散特性作了对比．在声速各向异性的井孔模型中进行的测试表明．弯曲模式波在横向声速各向异性的井孔中，分裂为两种传播速度不同的快、慢弯曲模式波．实验结果表明，偶极子声波测井将能有效地探测地层的横向各向异性．     

青藏高原东部Love波偏振研究

利用布设在云南西部的50个流动观测台站记录的三分量数字面波资料，采用频率域奇异值分解法，分析了中短周期Love波在青藏高原东部传播中的偏振状况. 结果显示Love波的传播呈现明显的有规律的偏离大圆路径的异常，地壳-上地幔速度结构显著的横向不均匀性可能是造成这些偏振异常的主要原因. 同时利用以前研究中得到的剪切波速度模型计算了Love波到达台站的理论偏离情况，大多数理论计算与实际观测结果的偏离方向基本一致，但理论偏离角通常小于观测值. 这样的结果在一定程度上验证了所采用的青藏高原速度结构模型是基本正确的，同时也说明了模型对研究区域复杂的速度结构的反映还不够精细.     

饱和土中桩对瑞利波的动力响应

基于Boit饱和多孔介质理论,采用文克勒地基梁模型,研究了表面透水的饱和土介质中桩顶自由的情况下桩对瑞利波的横向响应。计算了:①软土和硬土情况下不同深度桩的响应;②饱和土的孔隙率对桩的响应之影响;③土介质相对刚度对桩响应的影响;④fc-z空间桩响应的分布。结果表明,饱和土介质中桩对瑞利波的横向响应受波的频率、土介质性质、桩—土刚度比等因素的影响。整体来看,瑞利波对桩的横向影响自上而下大致呈衰减趋势,在地表处其影响最大;瑞利波对桩的影响深度随频率的降低而扩大;桩和土之间的水平相对位移幅度与土的孔隙率、刚度比均呈正相关关系;同频率下,相对软土地基来说硬土地基中的桩受瑞利波的影响较深。计算结果对工程抗震设计具有实用价值。     

A note on the approximate determination of the dispersion of Love waves in a laterally nonhomogeneous layer lying over a homogeneous half-space

Rayleigh's principle and the concept of the local wave number have been utilised for the approximate determination of the dispersion of Love waves propagating in a laterally heterogeneous layer lying over a homogeneous half-space. The shear wave velocity and the rigidity in the surface layer have been assumed to decrease with the increase of the lateral distance from the origin. The range of validity of the dispersion equation obtained by this method has been examined critically. It was found that: (a) for existence of Love waves the minimum value of shear wave velocity in the layer must be less than that in the matter below, and (b) the phase velocity of Love waves decreases with the increase of the lateral distance from the origin.     

Analysis of effects of active sources on observed phase velocity based on the thin layer method

In the wave field induced by active sources, the observed phase velocity of surface waves is influenced by both mode incompatibility (i.e. non-planar spread of surface waves is idealized as plane waves) and body waves. Effects of sources are usually investigated based on numerical simulations and physical models. Several methods have been proposed to mitigate the effects. In application, however, these methods may also have difficulties since the energy of the body waves depends on soil stratification and parameters. There are multiple modes of surface waves in layered media, among which the higher modes dominate the wave field for soils with the irregular shear velocity profiles. Considering the mode incompatibility and the higher modes, we derive analytical expressions for the effective phase velocity of the surface waves based on the thin layer stiffness method, and investigate the effects of the body waves on the observed phase velocity through the phase analysis of the vibrations of both the surface waves and the body waves. The results indicate that the effective phase velocity of the surface waves in layered media varies with the frequency and the spread distance, and is underestimated compared to that of the plane surface waves in the spread range less than about one wavelength. The oscillations that appeared in the observed phase velocity are due to the involvement of the body waves. The mode incompatibility can be ignored in the range beyond one wavelength, while the influence range of the body waves is far beyond one wavelength. The body waves have a significant influence on the observed phase velocity of the surface waves in soils with a soft layer trapped between the first and the second layers because of strong reflections.     

Dispersion Energy Analysis of Rayleigh and Love Waves in the Presence of Low-Velocity Layers in Near-Surface Seismic Surveys

High-frequency surface-wave analysis methods have been effectively and widely used to determine near-surface shear (S) wave velocity. To image the dispersion energy and identify different dispersive modes of surface waves accurately is one of key steps of using surface-wave methods. We analyzed the dispersion energy characteristics of Rayleigh and Love waves in near-surface layered models based on numerical simulations. It has been found that if there is a low-velocity layer (LVL) in the half-space, the dispersion energy of Rayleigh or Love waves is discontinuous and ‘‘jumping’’ appears from the fundamental mode to higher modes on dispersive images. We introduce the guided waves generated in an LVL (LVL-guided waves, a trapped wave mode) to clarify the complexity of the dispersion energy. We confirm the LVL-guided waves by analyzing the snapshots of SH and P–SV wavefield and comparing the dispersive energy with theoretical values of phase velocities. Results demonstrate that LVL-guided waves possess energy on dispersive images, which can interfere with the normal dispersion energy of Rayleigh or Love waves. Each mode of LVL-guided waves having lack of energy at the free surface in some high frequency range causes the discontinuity of dispersive energy on dispersive images, which is because shorter wavelengths (generally with lower phase velocities and higher frequencies) of LVL-guided waves cannot penetrate to the free surface. If the S wave velocity of the LVL is higher than that of the surface layer, the energy of LVL-guided waves only contaminates higher mode energy of surface waves and there is no interlacement with the fundamental mode of surface waves, while if the S wave velocity of the LVL is lower than that of the surface layer, the energy of LVL-guided waves may interlace with the fundamental mode of surface waves. Both of the interlacements with the fundamental mode or higher mode energy may cause misidentification for the dispersion curves of surface waves.     

黏弹介质中勒夫波频散问题的统一解及其动态特征分析

目前完全弹性介质中面波频散特征的研究已较为完善,多道面波分析技术(MASW)在近地表勘探领域也取得了较好的效果,但黏弹介质中面波的频散特征研究依然较少.本文基于解析函数零点求解技术,给出了完全弹性、常Q黏弹和Kelvin-Voigt黏弹层状介质中勒夫波频散特征方程的统一求解方法.对于每个待计算频率,首先根据传递矩阵理论得到勒夫波复频散函数及其偏导的解析递推式,然后在复相速度平面上利用矩形围道积分和牛顿恒等式将勒夫波频散特征复数方程的求根问题转化为等价的连带多项式求解问题,最后通过求解该连带多项式的零点得到多模式勒夫波频散曲线与衰减系数曲线.总结了地层速度随深度递增和夹低速层条件下勒夫波频散特征根在复相速度平面上的运动规律和差异.证明了频散曲线交叉现象在复相速度平面上表现为:随频率增加,某个模式特征根的移动轨迹跨越了另一个模式特征根所在的圆,并给出了这个圆的解析表达式.研究还表明,常Q黏弹地层中的基阶模式勒夫波衰减程度随频率近似线性增加,而Kelvin-Voigt黏弹地层中的基阶模式勒夫波衰减程度随频率近似指数增加,且所有模式总体衰减程度强于常Q黏弹地层中的情况.     

Spatial behaviour of Rayleigh waves in layered half‐spaces under active surface sources

In the free state, Rayleigh waves are assumed to travel in the form of planar wavefronts. Under such an assumption, the propagation behaviour of the modes of Rayleigh waves in layered half‐spaces is only frequency dependent. The frequency behaviour, which is often termed as dispersion, is determined by the shear wave velocity profile of layered soils within the depth related to wavelength (or frequency). According to this characteristic, the shear wave velocity profile can be back‐analysed from the dispersion. The technique is widely used in the surface wave testing. However, the wavefronts of Rayleigh waves activated by the surface sources are non‐planar. The geometric discrepancy could result in Rayleigh waves manifesting distance‐dependent behaviour, which is referred to as spatial behaviour in this paper. Conventional analysis ignoring this spatial behaviour could introduce unexpected errors. In order to take the effects of sources on the propagation behaviour into account, a new mathematical model is established for Rayleigh waves in layered elastic media under vertical disc‐like surface sources using the thin‐layer method. The spatial behaviour of the activated modes and the apparent phase velocity, which is the propagation velocity of Rayleigh waves superposed by the multiple modes, are then analysed. Aspects of the spatial behaviour investigated in this paper include the equilibrium path, the particle orbit, and the geometric attenuation of the activated Rayleigh waves. The results presented in this paper can provide some guidelines for developing new inverse mathematical models and algorithms.     

Love waves in inhomogeneous and anisotropic earth — I

Summary The frequency equation is derived for the propagation of Love waves in the earth's crust, composed of transversely isotropic layers and overlying anisotropic and inhomogeneous mantle. The exact boundary value problem is solved for a single layer and extended to multilayered media by generalizing theHaskell's technique. In fact the problem of deriving the frequency equation has been reduced to finding out the solution of the equation of motion subject to the appropriate boundary conditions. To illustrate the method, the author has derived frequency equations of Love waves for linear, exponential and generalized power law variation of vertical shear wave velocity with depth in the half space overlain by transversely isotropic inhomogeneous stratum.     

高频面波方法的若干新进展

面波多道分析方法(MASW)通过分析高频瑞雷波确定浅地表剪切波速度.在过去的20年中,由于该方法具有非侵入性、无损、高效及价格低的特点,越来越受到浅地表地球物理和地质工程学界的重视,视为未来最有希望的技术之一.这篇综述论文将介绍中国地质大学(武汉)浅地表地球物理团队近年来在研究高频面波的传播理论和应用中取得的部分成果.非几何波是一种仅存在于浅地表介质,尤其是未固结的沉积物中的独特的地震波.它的存在对快速而准确地获得表层S波速度有一定价值.我们的研究表明非几何波是一种具有频散特性的泄漏波.泄漏波的存在可能导致将其误认为瑞雷波的基阶或高阶能量,从而造成模式误判.这种模式误判会导致错误的反演结果.我们通过求取高基阶分离后的瑞雷波格林函数证明虚震源法瑞雷波勘探的可行性.这个结果将极大地降低野外瑞雷波勘探成本.勒夫波多道分析方法(MALW)中未知参数比瑞雷波的少,这使得勒夫波的频散曲线比瑞雷波的简单.因此,勒夫波反演更稳定,非唯一性更低.勒夫波数据生成的能量图像通常比瑞雷波的清晰,并具有更高的分辨率,从而可以更容易地拾取精确的勒夫波的相速度.利用雅克比矩阵分析波长与探测深度的关系表明对相同波长的基阶模式而言,瑞雷波的探测深度是勒夫波的1.3~1.4倍;而两种波的相同波长的高阶模式波的探测深度相同.我们也尝试了时间域勒夫波反演.按照勒夫波分辨率将地球模型剖分成了不同尺寸的块体,利用反卷积消除了地震子波对勒夫波波形的影响,通过更新每个块体的S波速度来拟合勒夫波波形,从而获得地下S波速度模型.该方法不基于水平层状模型假设,适用于任意二维介质模型.     

Crustal structure beneath Liaoning province and the Bohai Sea and its adjacent region in China based on ambient noise tomography

The velocity structure of the crust beneath Liaoning province and the Bohai sea in China was imaged using ambient seismic noise recorded by 73 regional broadband stations. All available three-component time series from the 12-month span between January and December 2013 were cross-correlated to yield empirical Green's functions for Rayleigh and Love waves. Phasevelocity dispersion curves for the Rayleigh waves and the Love waves were measured by applying the frequencytime analysis method. Dispersion measurements of the Rayleigh wave and the Love wave were then utilized to construct 2D phase-velocity maps for the Rayleigh wave at8–35 s periods and the Love wave at 9–32 s periods,respectively. Both Rayleigh and Love phase-velocity maps show significant lateral variations that are correlated well with known geological features and tectonics units in the study region. Next, phase dispersion curves of the Rayleigh wave and the Love wave extracted from each cell of the 2D Rayleigh wave and Love wave phase-velocity maps,respectively, were inverted simultaneously to determine the3 D shear wave velocity structures. The horizontal shear wave velocity images clearly and intuitively exhibit that the earthquake swarms in the Haicheng region and theTangshan region are mainly clustered in the transition zone between the low-and high-velocity zones in the upper crust, coinciding with fault zones, and their distribution is very closely associated with these faults. The vertical shear wave velocity image reveals that the lower crust downward to the uppermost mantle is featured by distinctly high velocities, with even a high-velocity thinner layer existing at the bottom of the lower crust near Moho in central and northern the Bohai sea along the Tanlu fault, and these phenomena could be caused by the intrusion of mantle material, indicating the Tanlu fault could be just as the uprising channel of deep materials.     

Love waves in the fiber-reinforced layer over a gravitating porous half-space

This paper aims to study the propagation of Love waves in fiber-reinforced layer lying over a gravitating anisotropic porous half-space. The closed form of dispersion equation has been derived for the Love waves in terms of Whittaker function and its derivative, which are further expanded asymptotically, retaining the terms up to second degree. The frequency equation shows that the transverse and longitudinal rigidity of reinforced material, as well as gravity and porosity of the porous halfspace have significant effect on the propagation of Love waves. The study reveals that the increment in width of reinforced layer decreases the phase velocity. For a particular width of the reinforced layer, it is also observed that the phase velocity increases with increasing porosity of the half-space, but it decreases with increasing gravity.     

HTI煤层介质槽波波场与频散特征初步研究

煤层内裂隙较为发育,具有明显的各向异性.目前槽波理论研究以各向同性介质为主,对HTI介质中槽波及其频散性质研究很少.本文以弱各向异性、含垂直裂隙HTI煤层介质为研究对象,研究了HTI煤层介质中的三维槽波波场,采用交错网格高阶有限差分法模拟槽波,推导了三层水平层状HTI煤层介质的Love型槽波理论频散公式和振幅深度分布,分析了HTI各弹性参数对频散曲线的影响.HTI介质和各向同性介质基阶Love槽波频散曲线差异较小,高阶较大;煤厚主要影响Airy相频率,而Airy相速度不变;煤层vs对Airy相速度影响很大;煤层γ对基阶Love槽波影响很小,高阶稍大.各波偏振方向不再与波的传播方向平行或垂直,而是呈一定夹角.利用基阶Love槽波频散曲线推测裂隙发育较为困难,可利用高阶频散曲线.