考虑边坡地形效应的地震动力响应分析

地震滑坡往往会造成巨大的人员伤亡和财产损失,而边坡在地震作用下的响应规律是研究地震边坡稳定性的首要问题。本研究利用FLAC3D有限差分软件建立多个边坡模型,进行边坡地形效应的地震动力响应分析,考虑的地形主要包括坡高、坡角、坡面形状等三方面的因素。将选取的地震波作用于不同模型,分析坡面加速度、速度放大比及坡顶坡脚傅里叶谱值,研究边坡几何形态对边坡地震响应的影响。结果表明,坡高对坡面的速度放大影响明显,坡角对坡面加速度放大效果较强,而不同的坡面形状会造成不同的加速度响应规律,凹面坡加速度放大效果更小一些。该研究有助于地震边坡的稳定性分析并为边坡工程的抗震设计提供参考。     

Reliability analysis of three-dimensional dynamic slope stability and earthquake-induced permanent displacement

Different models were developed for evaluating the probabilistic three-dimensional (3D) stability analysis of earth slopes and embankments under earthquake loading using both the safety factor and the displacement criteria of slope failure. In the 3D analysis, the critical and total slope widths become two new and important parameters.The probabilistic models evaluate the probability of failure under seismic loading considering the different sources of uncertainties involved in the problem, i.e. uncertainties stemming from the discrepancies between laboratory-measured and in-situ values of shear strength parameters, randomness of earthquake occurrence, and earthquake-induced acceleration. The models also takes into consideration the spatial variabilities and correlations of soil properties.Five probabilistic models of earthquake-induced displacement were developed based on the non-exceedance of a limited value criterion. Moreover, a probabilistic model for dynamic slope stability analysis was developed based on 3D dynamic safety factor.These models are formulated and incorporated within a computer program (PTDDSSA).A sensitivity analysis was conducted on the different parameters involved in the developed models by applying those models to a well-known landslides (Selset landslide) under different levels of seismic hazard.The parametric study was conducted to evaluate the effect of different input parameters on the resulting critical failure width, 3D dynamic safety factor, earthquake-induced displacement and the probability of failure. Input parameters include: average values and coefficients of variations of water table, cohesion and angle of friction for effective stress analysis, scales of fluctuations in both distance and time, hypocentral distance, earthquake magnitude, earthquake strong shaking period, etc.The hypocentral distance and earthquake magnitude were found to have major influence on the earthquake-induced displacement, probability of failure (i.e. probability of allowable displacement exceedance), and dynamic 2D and 3D safety factors.     

Soil slopes under combined horizontal and vertical seismic accelerations

Conventional methods of designing earth structures are based on pseudo-static stability analysis employing a horizontal seismic coefficient. This paper discusses the stability and permanent displacement of a slope subject to combined horizontal and vertical accelerations. A log-spiral failure mechanism is used. It is shown that seismic force has a significant effect on stability and permanent displacement of slopes. The parametric study reveals that vertical acceleration may play an important role on stability and permanent displacement if the corresponding horizontal acceleration is large. © 1997 John Wiley & Sons Ltd.     

Three-dimensional limit analysis of seismic displacement of slope reinforced with piles

Three-dimensional (3D) limit analysis of seismic stability of slopes reinforced with one row of piles is presented in this paper. A 3D rotational mechanism for earth slope is adopted. The lateral forces provided by the piles are evaluated by the theory of plastic deformation. Expressions for calculating the yield acceleration coefficient are derived. A random iteration method is employed to find the critical acceleration coefficient for the 3D slopes with or without reinforcement. Based on the kinematic theory within the frame of the pseudo-static approach, a 3D model is proposed for evaluating the critical state and the subsequent displacement response. Furthermore, Newmark׳s analytical procedure is employed to estimate the cumulative displacement induced by given earthquake loads. An example is shown to illustrate the influence of the piles on the seismic displacement of the 3D slopes.     

强震作用下核电厂顺层软岩高边坡组合支挡结构抗震性能研究

在综述国内核电厂高边坡案例研究进展的基础上,以某核电厂含泥化夹层顺层软岩高边坡为例,探讨应用多种方法综合分析其在地震作用下的动态放大效应、抗震性能和加固效果的分析思路。首先,基于典型二维计算剖面,采用拟静力法对边坡进行初步加固设计;然后,基于振动台试验和数值计算,研究边坡动态放大效应、支挡结构的动力响应和抗震性能,探讨边坡抗震参数优化取值。研究结果表明:(1)原位边坡坡面的加速度放大系数随高度增加而增大,且泥化夹层饱水后的放大系数要大于饱水前,水平向最大值为1.90;(2)加固后边坡动态放大系数显著降低,水平最大放大系数为1.31,垂直向基本为1.0,锚索抗滑桩以下边坡基本不存在放大效应,说明软岩高边坡采用锚索抗滑桩和锚索框架抗震性能较好;(3)PGA=0.21g时,边坡整体抗震性能较好,仅最顶部锚杆和中部锚索受力超过设计锚固力,分别超过设计值的20%和5%,适当加强即可;(4)数值计算得到的加速度放大系数分布规律与振动台试验结果较为一致,且两者得到的坡顶加速度放大系数也十分接近。研究成果可为核电厂软岩高陡边坡抗震安全评价和工程设计提供技术支持。     

地震与水压力耦合作用下岩质边坡倾覆解析方法

以往对平面破坏模式的岩质边坡稳定性评价,主要关注潜在滑坡体在自重、坡体内静水压力和地震荷载耦合作用下沿破坏面的抗滑稳定性,并未涉及各类外荷载作用线不通过潜在滑体重心而引起的绕坡趾倾覆稳定性。针对这一问题,提出地震与张裂缝水压耦合作用下的岩质边坡倾覆稳定性解析方法,基于力矩平衡原理推导出岩质边坡抗倾覆稳定性系数的一般表达式;通过深入的变动参数比较研究,探讨张裂缝水压和地震荷载对抗倾覆安全系数的影响,认为水压是控制岩质边坡倾覆破坏的决定性因素,而地震荷载处于次要因素,其在一定程度上增加或减小抗倾覆稳定性。在此基础上建立不同参数组合下的岩质边坡抗倾覆稳定图,为工程技术人员快速评估饱水岩质边坡地震倾覆稳定性提供直接依据。     

南海北部陆坡稳定性定量分析

随着海洋工程的发展,海底滑坡作为一种潜在的地质灾害逐渐成为人们关注的热点.本文采用二维极限平衡法计算并分析了海底斜坡稳定性问题.通过对斜坡模型在各种条件下安全系数的计算,定量分析了斜坡内在因素(如斜坡角度、主要土力学参数)和主要触发机制(地震、快速堆积等)对安全系数的影响.理论计算表明,静态条件下,均质斜坡角度小于20°时,均处于稳定状态;对于含软弱层的斜坡,快速堆积等引起的不排水状态下斜坡安全系数明显降低,斜坡角度大于14°时就会发生失稳.拟静态条件下,当地震动峰值加速度(PGA)小于0.15g时,对于角度小于20°的均质斜坡处于稳定状态,但PGA大于0.25g时,角度大于13°的斜坡即处于失稳状态;对于含软弱层斜坡,PGA为0.1g时,角度大于10°的斜坡即处于不稳定状态;当PGA大于0.3g时,3°以上的海底斜坡即处于失稳状态,发生海底滑坡.结合南海北部陆坡海底地形、地貌特征,在静态条件下,均处于稳定状态;但在地震加载的拟静态下,根据南海北部地震动峰值加速度分布,台湾浅滩段则处于不稳定状态.这解释了该区域大陆坡折带处海底滑坡广泛发育的原因,也表明了地震是引发南海北部滑坡最主要的触发机制之一.     

地震作用下反倾岩质斜坡动力响应规律及频谱特征研究

以四川昌都贡扎滑坡为原型,设计制作了1:1000的振动台试验模型,开展了包含软弱岩性组合和贯通性结构面的反倾岩质斜坡的振动台模型试验.考虑场地工程地质条件和场地特性,将富含多种频率的人工合成基岩地震波作为动力输入条件,探讨了不同概率水准人工合成地震波作用下反倾岩质斜坡的动力响应规律,并与输入正弦波的放大效应规律进行对比...     

地震作用下分层土边坡多滑面变形破坏的数值模拟研究

地震引起的滑坡对生命、环境和经济造成了巨大的威胁。目前,对于地震作用下边坡稳定性的研究主要集中在单一滑动面破坏模式,对于具有多个潜在滑动面边坡的地震稳定性研究比较欠缺。基于此,利用有限差分软件FLAC对不同边坡进行地震稳定性数值模拟,对比分析不同强度地震动作用下均质土体、分层土体和含软弱夹层土体边坡的滑动面演化过程和永久变形分布特征。结果表明：对于均质边坡,地震引起的滑动面为单一的整体滑动面,地震动强度的增加仅导致沿滑动面的永久变形量增大;对于非均质边坡,在地震作用下还可能形成通过土层交界面的局部滑动变形,且地震作用下最先形成和发生变形的滑动面与静力条件下得到的最小安全系数对应的最危险滑动面一致;同时,地震引起的边坡浅层和深层变形破坏存在复杂的相互影响,当局部浅层滑动先发生时,地震动的进一步增大很容易诱发更深层的坡体滑动,而当深层滑动先发生时,由于塑性变形影响地震惯性力向上部坡体的传播,浅层坡体的进一步滑动变形相对较难被触发。     

基于Bishop条分法的多点多向地震动作用下边坡稳定性分析

以人工合成的多点、多向地震加速度时程作为地震动输入,基于Bishop条分法推导了地震边坡稳定安全系数的表达公式。在此基础上,针对某一具体算例,分析了不同地震峰值加速度下的不同坡高边坡稳定安全系数的变化规律,并与单点、单向地震动输入的结果进行了对比。结果表明,对于本文给出的算例,在坡高与地震峰值加速度都相同的条件下,多点、多向地震作用下的边坡安全系数要大于单点、单向作用下的安全系数;当坡高小于30 m、地震峰值加速度小于0.1 g时,多点、多向地震动作用下的边坡安全系数与单点、单向相差不大;当坡高大于30 m、地震峰值加速度大于0.1 g时,多点、多向地震动作用下的边坡安全系数相对单点、单向要小36%以上,此时边坡稳定性评价必须考虑地震动的多点、多向特性。     

地震动作用下黄土边坡稳定性分析

以甘肃省内两种典型的高速公路沿线边坡作为研究对象,利用有限元数值模拟计算分析了不同地震动对支护边坡和无支护边坡稳定性的影响.计算结果表明,随着地震动峰值加速度的增大边坡安全系数逐渐降低;支护不但有助于提高边坡自身的稳定性,而且有利于增强边坡坡体的抗震性能.边坡支护设计强度主要依照当地可能遭受的最大地震动计算,以便最大限度地发挥支护提高边坡稳定性的效率.     

Three-dimensional seismic analysis of submarine slopes

Three-dimensional effects in seismic analysis of submarine slopes are assessed by comparing results of two- and three-dimensional (2D & 3D) analyses, in terms of predicted displacements, shear strains, and excess pore water pressure ratios. Limits of applicability of the 2D, plane strain analysis assumptions are quantitatively assessed. Some regression equations are also presented that express ratios of 3D vs. 2D predictions as a function of slope width/height ratio and earthquake peak acceleration. It is found that the results of 2D and 3D dynamic slope stability analysis are within a tolerance of about 15% for width/height ratios larger than 3–5, and 3D effects induced by lateral boundaries become insignificant for width/height ratios larger than 6–7. The results of the present dynamic, fully coupled, non-linear analyses are also compared with those of static slope stability analyses.     

斜入射地震作用下坡面形态对碎石土边坡稳定性影响研究

本文研究了在震源近场时,地震波斜入射条件下,不同坡面形态对碎石土边坡稳定性的影响。利用FLAC3D有限差分软件,建立了多种坡面形态的边坡模型。采用对比方法,分析了边坡在地震波作用下的稳定性。结果表明:临空坡面对输入地震波有放大效应;坡面的水平位移与加速度峰值随高度增加而增大,随坡度增加而增大;随着坡面凹度的增大,剪应力增量向坡肩处集中,坡肩愈加不稳定;随着坡面凸度的增大,剪应力增量向坡腰处集中,坡腰愈加不稳定;台阶对坡面的加速度放大效应有削弱作用,台阶数越多越稳定。同时给出了边坡防治的几点建议:减小坡面的坡度;对凹型坡加强坡肩位置处的防治,对凸型坡加强坡腰位置处的防治;对高边坡可设置多级台阶增加稳定性。     

近断层地震动作用下土质边坡动力响应研究

根据汶川地震中滑坡多沿断层分布的特点,利用FLAC有限差分软件建立了一个土质边坡动力数值分析模型,分别研究了具有向前方向性效应、滑冲效应和无速度脉冲的近断层地震动作用下边坡的动力响应.结果表明:含速度脉冲地震动对边坡的破坏作用远强于无速度脉冲地震动,且具有滑冲效应的地震动引起的边坡动力响应稍大于向前方向性效应地震动.近断层地震作用下,边坡水平方向绝对峰值加速度分布存在沿高程放大效应.具有向前方向性效应的地震动会增强边坡加速度的高程放大效应而具有滑冲效应的地震动则在一定程度上削弱了这种放大效应,且边坡中下部绝对峰值加速度值相对于向前方向性效应地震动和无速度脉冲地震动引起的绝对峰值加速度值较大.     

Slope seismic stability analysis on kinematical element method and its application

In this paper, kinematical element method (KEM) is extended to the solution of seismic slope stability with the pseudo-static approach. Analytical expressions are derived to calculate the factor of safety of slopes subjected to seismic loading and pore-water pressure. KEM is adopted to assess seismic stability of slope and some examples show that the results obtained from KEM, limit equilibrium method (LEM), variational method and strength reduction method (SRM) are generally in good agreement. And then the seismic slope stability charts are developed on the basis of KEM and pseudo-static approach, providing a rapid and reliable way to calculate the factor of safety and the location of critical slip surface without iteration. Based on the above seismic slope stability charts, a new back analysis method is presented. KEM and pseudo-static approach are applied to study the effect of blasting on the stability of open pit slope, and the approach to determine the relationship between critical explosive weight and distance is presented.     

Recent applications of sliding block theory to geotechnical design

The sliding block theory was proposed by Newmark for determining the permanent displacement of embankments and dams under earthquake loading. This paper highlights recent applications of sliding block theory to different geotechnical structures. The equations to determine seismic factor of safety, yield acceleration and permanent displacement are given for rock block, soil slope, landfill cover, geosynthetic-reinforced soil retaining wall, and composite breakwater. The presented equations for seismic stability degenerate to that of static stability in the absence of earthquake. The permanent displacement for various structures can be obtained from that of a horizontal sliding block through a correction factor. A simplified procedure is included for the permanent displacement under vertical acceleration. The sliding block approach is rational for design under high seismic load.     

层状结构岩质边坡动力稳定性试验研究

介绍了所进行的层状结构岩质边坡动力稳定性试验。结果表明，在水平地震动加速度达到0．4g时，层状结构岩质边坡就会出现局部的层间错动现象，当水平地震加速度达到0．8g时，层间结合力较弱的边坡将发生大面积的表面滑动和崩塌。而在铅直地震力作用下，当地震加速度达到1.0g时，才会出现破坏现象。因而对层状结构岩质边坡来说，其水平地震力造成的危害是主要的。     

Flow and deformation failure of sandy slopes

The effects of earthquake induced pore pressure on seismic and post seismic stability conditions of cohesionless slopes are investigated with reference to the infinite slope scheme. In cohesionless slopes the shear strength reduction caused by pore pressure build-up may lead the slope to a deformation failure or to a flow failure if liquefaction conditions are approached. Two critical values of the seismic induced pore pressure ratio are introduced to evaluate the effect of shear strength reduction on the slope failure mechanism. The results are given in the form of stability charts and a procedure for the evaluation of the seismic stability condition is described. The procedure gives useful information about the failure mechanism that slopes may exhibit and the displacement analysis which should be carried out.     

季节冻土区土钉支护边坡地震反应动力特性分析

为了更科学地评价地震荷载作用下土钉支护季节冻土边坡的抗震性能，基于热-动力理论控制方程，应用大型非线性有限元软件ABAQUS，建立带有黏弹性人工边界的地震荷载作用下土钉支护季节冻土边坡的数值模型，对比分析夏季和冬季这两个典型季节时的加速度响应、位移响应以及土钉轴力响应。结果表明：无论是夏季还是冬季，加速度峰值随着季节冻土边坡高程以及激振加速度峰值增加而增加，在夏季时刻的季节冻土边坡坡顶位置处达到最大。此外，在不同地震波峰值加速度作用下，相同位置处的位移响应峰值却有明显的不同，同一地震烈度地震波激震时，夏季的季节冻土边坡坡顶位移最大，表明地震荷载对夏季的季节冻土边坡坡顶破坏效应最为明显，土钉轴力具有高程放大效应和坡面放大效应，季节冻土边坡坡底至坡顶的土钉端部轴力峰值逐渐增大。文中数值模拟模型及结论可为制定地震荷载作用下土钉支护季节冻土边坡抗震设计提供一定的参考。     

基于非确定性分析法的顺层边坡抗震性研究

顺层岩质边坡的抗震性指标大部分都是非确定的,无法用固定阈值衡量。提出基于非确定性分析法的顺层边坡抗震性性能研究,将顺层岩质边坡看作若干个叠加的薄板;运用非确定性分析法计算各个薄板的动力安全系数和动力极限状态方程,并对顺层边坡动力极限状态方程进行求解,可得在地震作用力下顺层边坡动力可靠度指标与顺层边坡失效概率之间的关系;评估地震作用力下顺层边坡整体稳定性,同时综合考量顺岩边坡的最小平均安全系数以及平均失效概率,得出评估结果。实验结果显示,在地震作用力下,顺层边坡坡高、坡角、岩层倾角对顺岩边坡抗震性能影响显著,评估结果与实际结果一致。