水位变化对多空沟屏障远场隔振效果的影响研究

受季节性降雨的影响,雨季和旱季存在明显的水位波动。为分析地下水位升降对多空沟隔振效果的影响,建立了上覆单相弹性层饱和地基中空沟有限元分析模型。模型中考虑了沟中水的作用,算例分析了等沟深和不等沟深多沟屏障、沟壁倾斜多沟屏障和连续起伏地形屏障在不同水位下的远场隔振效果。计算结果与相应单相弹性地基进行对比,结果表明：土体渗透性低时,多数水位下不利于多沟屏障隔振;沟深为0.3LR（LR为R波波长）的三沟屏障通常可获得较理想的隔振效果（75%隔振率）,但屏障在隔振效果最差的共振水位(0.6LR)下,空沟须贯穿上覆干土层才可获得75%隔振率;递减沟深屏障可有效降低上覆土层共振的不利影响;沟深较浅时,沟壁倾角越大,多沟的隔振效果越好,但对较深多沟的影响小;连续起伏的地形景观可作为一种有效的绿色隔振屏障。     

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

This paper is concerned with the vibration isolation efficiency analysis of total or partially buried thin walled wave barriers in poroelastic soils. A two-dimensional time harmonic model that treats soils and structures in a direct way by combining appropriately the conventional Boundary Element Method (BEM), the Dual BEM (DBEM) and the Finite Element Method (FEM) is developed to this aim. The wave barriers are impinged by Rayleigh waves obtained from Biot’s poroelasticity equations assuming a permeable free-surface. The suitability of the proposed model is justified by comparison with available previous results. The vibration isolation efficiency of three kinds of wave barriers (open trench, simple wall, open trench-wall) in poroelastic soils is studied by varying their geometry, the soil properties and the frequency. It is found that the efficiency of these wave barriers behaves similarly to these in elastic soils, except for high porosities and small dissipation coefficients. The efficiency of open trench-wall barriers can be evaluated neglecting their walls if they are typical sheet piles. This does not happen with walls of bigger cross-sections, leading in general to efficiency losses. Likewise, increasing the burial depth to trench depth ratio has a negative impact on the efficiency.     

填充沟屏障远场被动隔振三维分析

把填充沟看作存在于弹性半空间的异质体,运用瑞利波散射的积分方程,对填充沟连续屏障远场被动隔振进行了三维分析,详细讨论了影响隔振效果的几个主要参数。研究表明,刚性材料比柔性材料具有更好的隔振效果,在隔振设计时应选择刚性屏障材料;填充沟的深度在一倍瑞利波波长内对隔振效果有较大影响,并且与宽度一起决定其隔振效果,但当屏障深度超过一倍瑞利波波长后,屏障深度对隔振效果的影响很小。     

饱和土体中空沟对移动荷载被动隔振的 2.5D边界元法分析

根据饱和土Biot理论及移动荷载特性,采用积分变换方法,推导了半无限饱和土体频域-波数内的边界积分方程,讨论了2.5D边界积分方程中Cauchy的奇异性,并分析了空沟对移动荷载引起饱和土体振动的被动隔振效果。通过与已知文献结果比较,验证了算法的正确性。数值结果表明,采用2.5D BEM不仅可以解决具有复杂表面的移动荷载作用下动力响应问题,而且可极大减小计算工作量。对于饱和土体受高速移动荷载作用,空沟更能有效减小土体孔压、竖向位移的振幅;当荷载速度较小时,空沟对土体表面的水平向位移几乎不起衰减作用,甚至有放大效应。另外,随空沟距振源的距离增大,空沟能够更好阻隔土体表面波传播。     

空沟对冲击荷载隔离的现场试验与数值模拟

在场地开挖了一条空沟,以落锤式弯沉仪（falling weight deflectometer,简写为FWD）的荷载模拟冲击荷载,通过FWD自带的传感器测得空沟后一定范围内的竖向位移。通过室内试验,获取试验场地的岩土参数,采用非线性动力有限元软件ABAQUS建立二维模型（将远处单元定义为无限单元来模拟吸收边界,从而避免振动波的来回反射）。以空沟中心线的现场测试数据为依据,校核有限元模型。通过分析不同工况模拟的竖向位移,研究得出空沟-荷载间距、沟深、沟宽等对隔振效果的影响。结果表明,(1) 空沟-荷载间距越小,隔振效果越好,但实际隔振工程中,为避免振动对空沟侧壁的稳定性的影响,空沟与振源不宜太近,因此可以不计空沟-荷载间距对隔振效果的影响;(2) 就提高隔振效果而言,增大沟深比增大沟宽更有效,而相同的隔振效果,窄-深沟的挖方量远小于宽-浅沟;(3) 在对冲击荷载进行隔振设计时,对于一般的民用和工业建筑,综合隔振效果、开挖和支护费用等因素,采用宽度为0.5～1.0 m,深度为2.0～2.5 m的空沟较为合理,与某工程实例进行比对,验证结论的合理性。     

Duxseal隔振性能数值分析与现场试验研究

将一种称为Duxseal的工业填料用于自由场主动隔振,发展了一种带孔波阻板（WIB）填充Duxseal的隔振方法,即Duxseal-WIB隔振系统。采用薄层法基本解答作为格林函数的三维半解析边界元法,分析了Duxseal的隔振效果及性能,并对提出的Duxseal-WIB隔振系统进行了现场试验。结果表明,采用Duxseal作为主动隔振屏障可以有效起到振动隔振作用,对距离振源较远处地表位移的隔振效果优于距离振源较近处;土质参数的变化对Duxseal的隔振效果具有显著的影响;在一定范围内增加Duxseal直径、厚度或埋深均可有效提高其隔振效果,其中Duxseal顶面距地表埋深的影响尤为显著;此外,与传统WIB对比,Duxseal-WIB隔振效果较高且相对平稳,在列车运行250 km/h条件下,距离振源中心12 m处测振点X、Y、Z向的地表隔振可分别达到40%、39%和51%。     

二维地基中空沟−波阻板联合隔振屏障分析

针对地基隔振控制,提出了一类新型的空沟?波阻板联合隔振屏障,并对其隔振性能进行了数值分析。首先,利用复伸展坐标变换,在频域内建立了完全匹配层（perfect matched layer, PML）吸收边界的控制方程;其次,利用Galerkin近似技术,给出了以位移为基本未知量的二阶非分裂格式PML的频域有限元计算列式;最后,通过数值算例分析了空沟?波阻板联合隔振屏障的物性参数（地基与波阻板的模量比）、几何参数（空沟深度、波阻板深度）以及载荷参数（振动波频率）等对其隔振性能的影响规律。结果表明,空沟?波阻板联合隔振屏障结合了空沟和波阻板各自的优势,可以有效地控制不同频率振源引起的地基振动。     

强夯加固机理及其环境影响的数值分析

采用大变形几何非线性有限元法分析强夯加固机理及其振动对环境影响。在强夯计算模型中,引入P波阻尼和S波阻尼的概念来说明土体的材料阻尼特性,同时运用改进人工边界法来模拟波在人工边界上的传播。采用速度和加速度作为强夯振动对环境影响的评价标准,得出强夯的最小安全距离。隔振沟是一种有效的隔振方法,分析了隔振沟隔振效果的各种影响因素,对实际工程具有一定的参考价值。     

二维饱和地基中空沟主动隔振分析

根据饱和土Biot理论,在频域内提出了一种适用于弹性波波动问题的有限元-无限元解法,其中有限单元用于近场介质的模拟,而形函数基于一维解析解答的无限单元则被用于人工边界,它可反映波传递到无限远处的特性;应用该法计算算例,以证明其有效性与正确性。在此基础上,对饱和地基中空沟主动隔振效果进行了详细的数值分析,结果表明,空沟深度是影响隔振效果的主要因素,一般沟深越大,隔振效果越好;当沟深一定时,空沟到振源的距离不宜超过1.5倍饱和土剪切波长;空沟的宽度对隔振效果的影响相对较小。     

郑西高铁地面振动实测分析及隔振沟效果研究

高铁列车动载会引起环境振动问题。为研究高速列车运行在高架段和路堤段引起的环境振动差异,文章对郑西线高速铁路展开现场测试,对比分析高架段和路堤段地面振动特征及其衰减规律。测试结果表明,路基段的振动响应大于高架段,高架段近场区衰减作用高于路堤段近场区域。振动传播过程中存在多次反弹增大现象,路堤段地面振动反弹增大位置滞后于高架段。高架段和路堤段的二次反弹增大率均明显大于一次反弹增大率。Z振级随距离的衰减符合对数衰减规律,拟合得到黄土地区Z振级衰减公式,最大偏差均出现在反弹增大区。引入无限元-黏弹性耦合边界条件,建立路堤段三维轨道-土体-隔振沟数值模型分析高速铁路隔振沟对减隔振的影响。研究发现空沟对中高频（30～60 Hz）振动波的隔振效果较低频（1～20 Hz）振动波明显,其具有低通滤波作用。空沟比填充沟隔振效果好,但是考虑到沟壁的稳定性,可在空沟中填入软质材料。研究成果可为高速铁路的设计及其环境振动的评价和控制提供参考。     

砂土地基中矩形沟槽隔振效果影响区域的试验研究

为了研究矩形沟槽的几何参数对沟后区域隔振效果的影响,通过现场试验分别测定自由地基以及设置矩形沟槽时相应控制点的加速度幅值,绘制关于两者比值的二维平面等值线图,以两者比值小于0.4的区域作为振动屏蔽区域,将振动屏蔽区域的面积作为隔振效果的评价指标进行分析;研究结果表明:瑞利波在传播过程中遇到矩形沟槽时会发生能量的重新分配...     

土工袋减振隔振机制分析及试验研究

设置于地基中的土工袋不仅可以提高地基承载力,而且具有减振隔振效果。通过水平循环剪切试验研究了土工袋的动力特性,验证了土工袋具有可变的水平刚度和较大的阻尼比,表明土工袋是一种良好的基础减振隔振材料。土工袋的等效阻尼比随着竖向压力的增大而减小,随着最大剪应变的增大而增大。同时,采用离散单元法进行了土工袋在动力荷载作用下的数值模拟计算,土颗粒间采用弹簧-阻尼器接触模型;而土工袋被看成具有张力的小颗粒薄层,这些小颗粒间的接触与袋内土颗粒间的接触模型相同,但仅设置法向的接触而无切向接触,且只受拉不受压。结果表明,土工袋的减振消能效果主要来自于袋内材料的摩擦耗能、黏滞耗能以及袋子张力引起的耗能。另外,还进行了土工袋沟槽的原位振动测试,验证了土工袋的减振隔振效果。     

饱和地基上列车运行引起的地面振动隔振分析

利用推导出的频域内饱和土的以土骨架位移u和孔隙水压力p表示的u-p格式的2.5维有限元方程,分析列车低速和高速运行条件下不同隔振措施的隔振效果,包括空沟、填充沟（混凝土墙）和混凝土板（波阻板）。其中轨道被简化为饱和地基上的Euler梁,通过沿轨道方向的波数变换将三维空间问题降为平面应变问题,对求解的结果进行Fourier反变换,获得三维时域-空间域内的解。研究表明：弹性地基和饱和地基上设置空沟和填充沟隔振效果相差不大,而设置波阻板隔振效果存在较大差异。列车低速运行时,空沟基本无隔振效果,填充沟在一定范围内有隔振效果,波阻板隔振效果最好;列车高速运行时,空沟在较大沟宽和较深沟深条件下才能达到较好隔振效果,填充沟和波阻板只需较小尺寸就能达到理想的隔振效果     

非饱和土地基中复合多层波阻板对S波的隔离效应

基于弹性波在非饱和多孔介质与单相弹性介质中的传播理论,考虑在非饱和土地基中设置一定厚度的复合多层波阻板（复合多层波阻板以3层为例）,利用Helmholtz矢量分解定理,推导了非饱和土地基中S波通过复合多层波阻板的透射、反射振幅比的解析解。通过数值算例,分析了层间波阻板剪切模量和密度等物理力学参数对非饱和土地基中S波通过复合多层波阻板时传播特性的影响规律。结果表明：复合多层波阻板中层间波阻板材料的剪切模量和密度对透反射系数影响显著。复合多层波阻板是一种有效的隔振屏障,严格控制层间波阻板的剪切模量和密度可以获得最佳隔振效果,这为复合多层波阻板在地基振动控制领域中的应用提供理论指导。     

周期分布桩体对平面SH波隔振效应的解析求解

将排桩对平面SH波的隔振简化为弹性波散射的二维平面问题,基于全空间中无限周期结构的周期特性,给出了一种求解无限周期分布桩体对平面SH波隔振效应的解析方法。该方法采用波函数展开法并结合Graf加法定理,利用全空间中相邻周期单元的散射波场在频域内相差一个相位的特性,仅选取一个周期单元,将入射波场和所有散射波场的贡献叠加后,根据边界条件求解待定系数,从而求得整个散射波场。该解析解能够精确求解无限周期分布桩体的散射问题,分析周期分布桩体数量较多时的隔振规律,弥补了以往理论分析中桩体个数较多时难以求解的不足。重点讨论了桩体个数、桩体刚度、桩体间距和桩体类型等因素对隔振效果的影响,结果表明：（1）该方法显著降低了求解大量桩体问题时的存储量和计算量,有限周期模型计算结果随桩体个数增多收敛于无限周期模型,反映了该方法的正确性;（2）整体上桩体刚度增大有利于提高隔振效果,但桩体刚度对隔振效果的提升有限,桩体剪切波速为土体5倍时已具有足够的隔振效果;（3）桩间距对隔振效果有着直接影响,间距越小则低频禁带宽度越大;（4）桩体类型对隔振效果有着显著影响,实心桩有着良好的隔振效果,而具有柔性内填充的管桩在低频段有着更佳的隔振效果。     

非饱和土地基中P1波通过波阻板的传播特性研究

基于单相弹性介质与非饱和多孔介质中波的传播理论和Snell定律,研究了P1波从非饱和土介质中入射到波阻板（wave impeding block,WIB）时的传播特性。推导了P1波在非饱和土地基中通过波阻板后反射波和透射波振幅比的解析解,分析了反射波振幅比和透射波振幅比与波阻板的剪切模量、密度以及入射角、入射频率、饱和度等各种参数的关系曲线,从而得到这些参数对非饱和土地基中波阻板隔振效果的影响规律。数值结果表明：波阻板隔振屏障的剪切模量和密度对其隔振性能影响较为显著,当波阻板剪切模量和密度在一定范围内时波阻板隔振屏障可获得较好的隔振性能;入射角对波阻板隔振性能影响较大,而入射频率对其隔振效果影响很小。     

饱和土半解析边界元法及在双排桩被动隔振中的应用

针对均质饱和地基中双排桩远场被动隔振问题,首先,基于饱和多孔介质的边界元法,建立了以薄层法（TLM）基本解作为动力Green函数的饱和土半解析边界元法,该方法可有效地分析饱和半空间的土-结构动力相互作用问题。在此基础上,根据双排桩与周围土体的邻接条件,推导了双排桩对Rayleigh波散射的三维边界元方程;运用上述边界元方程,对双排桩的远场被动隔振问题进行了研究。结果表明：双排桩能够有效地降低屏障后的位移振幅,其隔振效果要优于单排桩;排间净距对隔振效果影响不大,而桩间净距则对双排桩隔振效果起控制作用。     

Lateral soil–pipeline interaction in sand backfill: Effect of trench dimensions

Current analytical methodologies for the evaluation of soil pressures on laterally displaced pipelines, as in the case of differential (e.g. fault-induced) permanent ground movements, allow the use of sand fill material properties under the condition that the size of the trench is adequate so that the failure surface develops fully within the sand fill (i.e. “free field” response). The accuracy of this assumption is investigated in this paper by means of numerical analyses, which employ a number of advanced features, such as pipe-backfill interface elements, large strain formulation and mesh rezoning. Following verification against well-documented experimental data, the analyses investigate: (a) the shape and size of the failure mechanism, as well as, (b) the potential trench effects on soil pressures and pipeline strains in the case of a strike-slip fault rupture. It is shown that for small embedment depths soil failure extends to the ground surface, in the form of a general shear failure mechanism, while for larger depths it becomes progressively localized and surrounds the pipeline. It is also shown that, for most cases of pipeline diameter and embedment depth, common trench dimensions cannot contain the “free field” failure surface dimensions. Finally, analyses for limited trench dimensions, reveal that the ultimate soil pressure increases exponentially with decreasing trench width, leading to high bending strains in pipelines subjected to differential lateral ground displacements.     

Geochemical barriers: theory and practical applications

Geochemical barriers are zones in the Earth's crust with sharp physical or chemical gradients and they are often associated with concentrations of elements, sometimes to the extent of forming ore deposits. Four fundamental classes of geochemical barriers have been identified: (1) mechanical; (2) physico-chemical; (3) biochemical; (4) anthropogenic.Mechanical barriers are the simplest class and placer deposits are a good example. Physico-chemical barriers (the dominant class) are formed in zones characterized by sharp changes in the intensity of certain physico-chemical parameters of waters; tables of observed and predicted element associations have been prepared and these can be used to identify element concentrations which depend principally on the properties of waters. Biochemical barriers are specifically related to element concentrations brought about through reactions associated with life on Earth, for example, the accumulation of trace elements in effects are one variety. Although barriers consisting of combinations of several classes can occur, the main emphasis of this paper is on physico-chemical barriers with respect to ore deposits, soil geochemistry and groundwaters.     

Performance of Foundations in Sabkha Soil: Numerical Investigation

Sabkha or salt flat soil is one of the most unpredictable and potentially dangerous soils in the Middle East. This soil covers a large and strategically important area of the Arabian Gulf coast, as it contains the world biggest oil reserve and a number of petrochemical plants are either have been built or are scheduled to be built in this area. The performance of shallow and deep foundations in the Eastern Province of Saudi Arabia’s sabkha soil is investigated numerically using the finite element method. The parameters used to simulate this soil in the numerical models were based on a large number of laboratory tests to determine the shear strength and stiffness parameters of the sabkha soil. In addition, the characteristics of the interface between the foundation and soil used in the numerical model were established from shear box tests that were conducted to evaluate the concrete-sabkha soil interface properties. The developed numerical model was calibrated/verified using the results of full-scale pile load testing program from an ongoing project to further enhance the accuracy of the results. A parametric study was then conducted using the verified model to establish the performance characteristics of foundations constructed in sabkha soil and provide guidelines for their design.