地震边坡动态临界加速度计算中抗剪强度参数概率分布分析

基于动态临界加速度计算地震边坡永久位移的方法应用了边坡分布的不均匀性,不均匀分布程度影响着永久位移计算结果。研究Newmark滑块底部或潜在滑动面上抗剪强度参数的分布特征,有利于了解地震过程中临界加速度的分布和变化过程,为地震边坡永久位移计算参数选取提供依据。通过计算发现：边坡土体标准差的线性关系比较微弱,在缺乏实验数据时,仅可参考使用;黏聚力随机数个数达到200时所计算的永久位移数值不再有波动;黏聚力无论设置为正态分布还是对数正态分布均不影响永久位移计算结果;黏聚力标准差的数值大小对永久位移的大小和离散性影响很大。在地震边坡计算时,尽量将其设置为符合正态分布;尽量根据实测数据设定黏聚力标准差,若缺乏实测资料,可参考两者的线性关系并结合经验进行标准差设定。     

考虑动态临界加速度的地震边坡永久位移预测模型研究

在区域边坡地震危险性评价中主要采用永久位移预测模型进行地震边坡永久位移计算。永久位移预测模型以Newmark滑块理论为基础,通过大量实测地震时程记录统计拟合得出。针对Newmark理论中滑动面抗剪强度参数保持不变和已有位移预测模型的计算位移小于实测位移的问题,利用动态临界加速度理论,分别构建含有峰值加速度和阿里亚斯强度的两种位移预测模型。对该模型计算出的永久位移合理性进行讨论,发现永久位移计算结果符合滑坡实测位移的数量级。采用本文模型计算的永久位移更加接近地震滑坡位移实际大小,可以解决一直存在的预测位移小于实测位移的问题。在更进一步讨论发展的基础上,本文模型可满足更多的理论应用和工程实际,为区域边坡地震危险性评价提供思路。     

地震作用下黄土边坡动态滑动位移研究

提出在地震作用下黄土边坡滑动的新模型,该模型由一个四边形块体和一个扇形块体构成。根据牛顿第二定律,分析该边坡在地震作用下两滑动块体的受力状态,推导任一时刻滑动块体的加速度。从而给出该边坡模型的临界地震加速度系数表达式并计算不同参数下,临界地震加速度系数的值。对已推导边坡块体加速度积分,解得任一时刻滑动块体的位移表达式,计算此时滑动块体的位移特解,并根据给定的三种实例,计算不同参数下滑动块体的位移。结果表明：块体交界面的倾角对临界地震加速度系数和块体滑动位移有显著的影响,当块体交界面倾角为正时,滑体越大,则临界地震加速度系数越小;当块体交界面的倾角为负时,滑体越小,则临界地震加速度系数越小;当块体交界面的倾角相等、持时相同时,滑块越大,位移越小。研究结果可为相关边坡的抗震设计及地震滑坡位移计算提供新的参考。     

区域边坡地震危险性评价理论研究进展

地震滑坡会对自然环境和人民生活带来极大破坏,在大区域范围内对边坡遭受地震影响的程度进行评价判断,主要采用具有预测性质的潜在地震诱发滑坡危险性评估的方法。因此,深入研究边坡地震危险性分析的基本理论并作出符合实际的危险性分布图对工程建设和灾害防治具有较大意义。梳理并阐述具有预测性质的边坡地震危险性分析所需数据资料及各类数据的研究进展,将利用永久位移法进行边坡地震危险性评价所需数据归纳为三种：(1)边坡在地震影响下破坏程度的判定依据;(2)区域地震动参数如峰值加速度、阿里亚斯强度;(3)边坡坡体基本参数如黏聚力、摩擦角、重度、滑块厚度、坡角等。边坡地震危险性评价的准确程度与这三类数据的研究程度与准确性有关。文章对三类数据分别详细阐述各自的研究现状与成果应用,最后分析理论存在的部分问题以及以后的研究方向。     

基于拟静力法的加筋土挡墙地震永久位移计算

目前加筋土挡墙的抗震设计常采用拟静力学法结合极限平衡理论的计算方法,而极限平衡理论建立在诸多假设条件之上,没有考虑屈服准则及流动法则,因此采用极限平衡法研究加筋土挡墙的稳定性存在一定的不足。因此,本文基于极限分析上限定理,结合Newmark理论,计算加筋土挡墙的外力功率和内能耗散率,构建地震荷载作用下加筋土挡墙加固边坡达到稳定对应的地震屈服加速度计算公式,运用数学优化的方法进行求解,进而得出地震作用下加筋土挡墙的永久位移计算公式。通过算例分析,进行本研究方法的验证和展示,研究结果揭示了加筋土挡墙边坡稳定性与土体内摩擦角、粘聚力、水平加速度系数的相关关系。     

制样方法对非饱和压实黄土强度变化影响的试验研究

为研究不同制样方法对非饱和压实黄土抗剪强度指标的影响规律,进行不同干密度压实土在预湿及加湿两种制样方法下的剪切试验研究。结果表明:预湿制样试验中,存在一个临界含水率影响着试验黄土的黏聚力、摩擦角,当试样的含水率低于临界含水率时,抗剪强度随含水率增加而提高,而当含水率高于临界含水率时,抗剪强度随含水率的增加而降低;抗剪强度指标总体随试样干密度的增大而增大。加湿制样试验中,随着试样含水率的增加,黏聚力连续降低,摩擦角随含水率的增加先提高后降低,对比预湿试样而言,含水率对摩擦角的折减程度降低。可以看出制样方法对非饱和压实黄土黏聚力的影响特征比较突出,当含水率低于临界含水率时加湿试样的黏聚力比预湿试样大,而当含水率高于临界含水率时预湿试样的黏聚力较高,认为加湿试样存在类似"木桶效应",而预湿试样则与试样整体水平有关。研究结果对于进一步加深非饱和黄土抗剪强度指标的适用性研究具有一定参考价值。     

黄土的钻孔剪切试验特性研究

为研究钻孔剪切试验在黄土中的应用效果,在西安东郊典型的Q₃黄土中进行不同首级法向应力和不同法向应力增量条件下钻孔剪切试验。试验结果表明,抗剪强度随法向应力增大呈曲线形式增大,存在某一临界法向应力值,超过该值后抗剪强度与法向应力之间呈良好的线性关系,能较好地符合摩尔-库仑强度准则,所测得的抗剪强度参数相差较小;在分级加载试验中,法向应力增量越小,达到同一法向应力时的抗剪强度越大;分别加载试验与分级加载剪切试验相比,在相同法向应力下测得的抗剪强度值偏小,随法向应力增大,偏离程度增大;当法向应力较小时,剪切齿难以压入硬土中,导致所测得的黏聚力偏小、内摩擦角偏大,为此建议开发适合不同软硬土质的剪切板,并增加法向位移观测系统,用于判断法向应力施加过程的齿尖压入孔壁情况。     

地震动强度参数相关性对地震滑坡危险性影响分析

本文基于全概率地震滑坡危险性分析方法,利用蒙特卡罗模拟研究在不同临界屈服加速度a_c、永久位移模型、场地类别和断层距情况下,地震动强度参数相关性对地震滑坡危险性结果的影响规律。主要结果表明:在进行滑坡危险性分析时,不考虑多地震动强度参数相关性会造成预测位移值偏小,滑坡风险被低估。因此,考虑地震动强度参数相关性对滑坡危险性评价很有必要,这能使预测结果反映地震动参数样本作为输入时的实际相关性特征,为合理进行滑坡防护提供理论依据和参考。     

铁尾砂抗剪强度参数随固结度变化规律研究

为了探究铁矿尾矿砂抗剪强度参数随固结度的变化规律,分别对不同固结度、不同干密度的铁矿尾矿砂进行三轴固结不排水试验(CU试验),以总应力法和有效应力法得到尾矿砂的抗剪强度参数及有效抗剪强度参数。分析表明,对于同一干密度的尾矿砂,随着固结度的增加,抗剪强度指标及有效抗剪强度指标均逐渐增加。固结度的变化对黏聚力c及有效黏聚力c′影响较小,对内摩擦角φ以及有效内摩擦角φ′影响较大。φ及φ′随着干密度的增加成线性增长趋势,且不同固结度下的γd-φ曲线、γd-φ′曲线拟合度较高。因此,在尾矿坝稳定性评价及安全管理中,考虑尾矿砂的抗剪强度随固结度的不同而变化,可使尾矿坝稳定性分析更符合实际情况。     

基于修正岩土体强度参数的简化纽马克位移法地震滑坡危险性快速评估技术

地震滑坡危险性评估可为震后应急响应等提供科学的决策依据。纽马克位移法可不依赖同震滑坡编目快速评估同震滑坡危险性。工程岩体物理力学参数是该方法的核心参数之一,但其赋值过于单一,难以反映复杂地质背景下岩体强度的空间差异性。针对上述问题,本文在分析地震滑坡影响因子的基础上,选择距断层距离、高程和距水系距离作为影响岩体强度的评价指标并建立岩体强度评价模型,获得区域岩体强度修正系数,进而修正传统方法的临界加速度。结合震后的即时地震动峰值加速度,采用简化纽马克位移法计算边坡累积位移,开展地震滑坡危险性快速评估,并以汶川M_W7.9地震的地震滑坡危险性评估为例验证本文方法。结果表明,相对于传统方法,本文方法划分的地震滑坡危险区与同震滑坡分布更加一致。      

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.     

A GLE-based model for seismic displacement analysis of slopes including strength degradation and geometry rearrangement

Seismic performance of natural slopes, earth structures and solid-waste landfills can be evaluated through displacement-based methods in which permanent displacements induced by earthquake loading are assumed to progressively develop along the critical sliding surface as a result of transient activation of plastic mechanisms within the soil mass. For sliding mechanisms of general shape the earthquake-induced displacements should be computed using a model that provides a closer approximation of sliding surface. When large permanent displacement are induced by seismic actions, due to substantial shear strength reduction, and significant changes in ground surface occur, an improved estimate of permanent displacement can be obtained using a model which accounts for shear strength reduction and mass transfer between adjacent portions of the slope resulting from geometry changes of ground surface during the seismic event.In this paper, a GLE-based model is proposed for seismic displacement analysis of slopes that accounts for shear strength degradation and for geometry rearrangement. Model accuracy is validated against experimental results obtained from shaking table tests carried out on small scale model slopes. Comparison of computed and experimental results demonstrates the capability of the proposed approach in capturing the main features of the observed seismic response of the model slopes.     

STUDY ON DYNAMIC RESPONSE AND INSTABILITY OF SOIL-ROCK MIXTURE DEPOSIT WITH DIFFERENT STONE CONTENTS AND SLOPE GRADIENTS

Soil-rock mixture deposit is an extremely heterogeneous loose rock-soil deposit formed since Quaternary, which is composed of blocks, fine-grained soil and pore with a certain engineering scale and high strength and has a certain stone content. These soil-rock mixtures accumulated on slopes have been completely destroyed and their mechanical strength is very low. They are widely distributed in the mountainous areas of Southwest China, which poses a great threat to the engineering. Earthquakes occur frequently in Southwest China, and the instability of soil-rock mixture deposit under seismic load is one of the important factors causing the damage to this type of deposit. The dynamic response of soil-rock mixture deposit under seismic load is an important index to study its instability mechanism under seismic load. Based on indoor shaking table model test, the influence of rock content and slope gradient on dynamic response characteristics of soil-rock mixture deposit was studied. In model tests, rock content is 30%, 40% and 50%respectively, and slope gradient varies from 20°, 30° and 40°. Two different seismic loading frequencies and three different excitation strengths were given. The peak acceleration(PGA)amplification coefficients in horizontal and vertical directions of soil-rock mixture deposit were analyzed under the change of rock content and slope gradient. The permanent displacement and deformation law of the top and foot of the slope of soil-rock mixture deposit were analyzed by model test. The experimental results show that the dynamic acceleration response characteristics of the soil-rock mixture deposits at the top and foot of the slope are different under different slope gradients and rock content conditions, and the horizontal PGA amplification coefficients of the soil-rock mixture deposits are also different. With the same seismic frequency and excitation intensity, the horizontal PGA amplification coefficient increases with increased slope gradient, and the rate gets faster. With the increase of stone content, the magnification coefficient of horizontal PGA decreases, and the higher the stone content, the slower the decrease rate of horizontal PGA magnification coefficient. When the slope gradient of soil-rock mixture deposit increases, the corresponding horizontal and vertical PGA amplification coefficients increase with the same seismic frequency and excitation intensity. The amplification coefficients of PGA in the vertical direction are different, but the overall magnification is weaker than that in the horizontal direction. The vertical PGA amplification coefficients of the foot, middle and lower parts of the slope are larger, while the vertical PGA amplification coefficients of the upper and middle parts of the slope tend to decrease. The higher the frequency of seismic wave is, the smaller the vertical PGA amplification coefficient corresponding to the same elevation will be, which indicates that the vertical PGA amplification coefficient is negatively correlated with the elevation. The variation trend of PGA magnification coefficient of soil-rock mixed deposit in vertical direction is different with the change of stone content. Under the same excitation intensity, the larger the slope gradient is, the larger the permanent displacement at the top of the slope will be, and the larger the rock content, the smaller the corresponding displacement at the top of the slope. The permanent displacement of the top of the slope is obviously larger than that of the foot of the slope, which indicates that the magnification effect of the top of the slope is obvious. After the vibration process and sliding of the landslide, the large-sized particles in the soil-rock mixture deposit move downward faster and slip on the surface of the deposit body. There was a very obvious phenomenon of particle sorting in the pile-up at the foot of the landslide body. The results of this study are of practical significance for the analysis of the dynamic response law of soil-rock mixture deposit under seismic load due to the change of rock content and slope gradient.     

Deterministic sliding block methods for estimating seismic displacements of earth structures

A review and quantitative comparison of existing deterministic sliding block methods for predicting permanent displacements of earth structures subjected to seismic loading is presented. The reviewed sliding block methods are divided into two main groups based on the characteristic earthquake parameters referenced in each method. One group uses the maximum horizontal ground acceleration and velocity, and the other uses the maximum horizontal ground acceleration and the predominant period of the acceleration spectrum. Displacement functions published by previous authors are reformulated to give common non-dimensionalized displacement functions of the critical acceleration ratio which are then used to compare the different methods for the estimate of permanent seismic displacement of soil structures. The results show that despite the fact that the different methods were formulated using a wide range of earthquake records and different characteristic seismic parameters, permanent displacement values predicted using these methods fall within a reasonably narrow band. Selected acceleration data from three recent earthquakes that occurred in California are used to evaluate and compare the accuracy of the reviewed displacement methods for practical applications.     

地震诱发低角度黄土-泥岩滑坡动力响应及变形分析

基于室内试验获取黄土滑坡的静力和动力力学强度参数,建立低角度黄土滑坡破坏大型物理模拟试验模型,结合FLAC^3D有限差分软件,分析黄土滑坡的动力响应规律和宏观破坏特性,阐明在地震作用下黄土滑坡的失稳演化规律,揭示黄土滑坡滑体运动迁移路径。结果表明：低角度黄土-泥岩滑坡在地震荷载作用下地震波水平方向和垂直方向均出现明显的放大效应;在黄土层内部,随着斜坡高度增加,坡肩和斜坡后缘加速度放大效应较为明显,对比坡脚、坡腰和坡肩处剖面上加速度放大系数,下伏泥岩对地震波产生一定的放大效应。松弛拉张裂隙,土体强度降低,接触面和坡肩、斜坡后缘处的拉张裂缝形成弧形滑移面,上覆黄土层由内向外依次连带下滑,坡肩处土体的下滑力和地震力促使坡腰土体大面积长距离滑动,最大滑动涉及范围长达200 m左右,土体下滑至坡脚发生堆积并产生隆起。数值模拟结果和振动台试验结果在动力响应和宏观变形破坏特征均呈现较高的吻合度。     

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.     

高边坡在水平动荷载作用下的动力响应规律研究

高岩石边坡在水平动荷载作用下的动力响应规律是有关工程界十分关心的问题。本文通过大量的数值模拟分析对边坡的动力响应规律进行研究，发现了高岩石边坡在水平动荷载下动力响应的加速度、速度、位移三量放大系数等值线在边坡剖面上分布的规律性特点。对于一定的岩土体材料，当边坡高度在一定时，边坡动力响应的加速度、速度、位移三量会随着边坡角度的增大而减小；当边坡的角度一定时，边坡动力响应的加速度、速度、位移三量会随着边坡高度的增加而放大；边坡的下覆岩层的材料特性对于边坡的动力响应的加速度、速度、位移三量的放大作用的影响具有一定的规律性；边坡动力响应的加速度、速度二量受动荷载的特征周期影响较位移明显，具有一定的规律性。边坡的边缘部位对振动的反应幅值较之内部存在放大现象，坡度决定了三量分布的等值线方向的走向。其结论性成果体现了高岩石边坡的地震动力响应特征，为高边坡工程提供理论基础和实践依据。