考虑动态临界加速度的地震边坡永久位移研究

Newmark永久位移是评价边坡在地震时稳定性的一个重要指标,近年来广泛应用于地震边坡危险性评价中。传统Newmark永久位移法在计算临界加速度时假定其为常数,未考虑滑动面上抗剪强度参数的变化,过低估计了边坡的永久位移。为了解决这一问题,本文从岩土结构理论获得思路,详细分析滑块底面抗剪强度参数在地震中的变化过程,以边坡震动过程中黏聚力逐步丧失为基本思路,在黏聚力符合一定概率分布的基础上,提出了一种利用蒙特卡罗法模拟其动态减小过程从而实现临界加速度动态变化的计算方法。经过算例计算,黏聚力和临界加速度体现了地震过程中边坡滑块黏聚力和临界加速度的动态变化,位移大小符合地震边坡实际位移的常规数值。本文提出的蒙特卡罗法实现动态黏聚力和动态临界加速度的计算过程与地震时程相对应,不仅在一定程度上解决了抗剪强度参数的动态变化问题,还解决了传统Newmark位移计算中永久位移比实际位移偏小的问题。     

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。     

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。     

基于Newmark方法的四川芦山6.1级地震公路滑坡快速评估

2022年6月1日四川省雅安市芦山县6.1级地震发生后,基于地震震级与历次地震中震区交通状况综合考虑,对震区公路滑坡风险等级开展快速评估工作,使用Newmark模型计算得到研究区内岩土体永久累积位移并划定地震滑坡风险等级。结果显示,在芦山6.1级地震的影响下,研究区内滑坡风险等级由震中区域向四周逐渐降低,与地震动强度的衰减具有相似的规律;区内北西侧的滑坡风险等级要明显高于南东侧,该分布规律与研究区地形地貌特征相吻合;依据划定的危险性等级,在研究区圈定7个公路滑坡高风险区域,收集到的实际7处受灾路段有6处落在公路滑坡高风险区内。验证表明,基于Newmark模型与路网数据划定的公路滑坡高风险区具有较高的可信度,该地震公路滑坡快速评估方法可以为灾后应急救援力量部署及减轻地质灾害造成的损失提供一定帮助。     

基于Newmark模型的概率地震滑坡危险性分析方法研究——以甘肃天水地区为例

本文以天水地区为研究区,结合地震潜在震源区模型和Newmark位移预测方程,采用概率地震危险性分析方法,计算了该地区50年超越概率10%水平下的Newmark位移。同时,根据天水地区50年超越概率10%下的阿里亚斯烈度,并结合Newmark位移与阿里亚斯烈度的关系式,计算了天水地区在遭受50年超越概率10%下的阿里亚斯烈度影响时,潜在滑坡体产生的Newmark位移分布。通过比较上述两种方法得到的天水地区不同Newmark位移的分布特征,本文认为二者虽然存在较大差异,但其空间分布特征均能反映天水地区每个场点处的相对滑坡危险性。对滑坡危险性水平进行分区的结果显示,天水地区60%以上的区域具有高地震滑坡危险性,50%以上的区域具有甚高地震滑坡危险性。本文的研究结果可以作为天水地区地震危险性及风险评估的参考资料,也可以作为天水地区城市规划、土地使用规划、地震应急准备以及其它公共政策制定的参考资料。     

基于Newmark模型的概率地震滑坡危险性分析方法研究

本文以天水地区为研究区,结合地震潜在震源区模型和Newmark位移预测方程,采用概率地震危险性分析方法,计算了该地区50年超越概率10%水平下的Newmark位移。同时,根据天水地区50年超越概率10%下的阿里亚斯烈度,并结合Newmark位移与阿里亚斯烈度的关系式,计算了天水地区在遭受50年超越概率10%下的阿里亚斯烈度影响时,潜在滑坡体产生的Newmark位移分布。通过比较上述两种方法得到的天水地区不同Newmark位移的分布特征,本文认为二者虽然存在较大差异,但其空间分布特征均能反映天水地区每个场点处的相对滑坡危险性。对滑坡危险性水平进行分区的结果显示,天水地区60%以上的区域具有高地震滑坡危险性,50%以上的区域具有甚高地震滑坡危险性。本文的研究结果可以作为天水地区地震危险性及风险评估的参考资料,也可以作为天水地区城市规划、土地使用规划、地震应急准备以及其它公共政策制定的参考资料。      

基于降雨入渗的Newmark模型改进及地震滑坡危险性预测研究

滑坡是一种破坏性非常强的地质灾害,其中地震与降雨均为诱导滑坡发生的关键因素。从降雨期间发生地震的角度考虑,基于Green-Ampt降雨入渗模型对Newmark模型进行改进,推导两因素耦合作用下的边坡安全系数F_S。以云南省鲁甸县某一区域为例,分别开展无降雨、降雨无积水与降雨积水三种情况下的地震滑坡危险性预测及坡度与入渗深度因子对位移影响分析。通过比较上述三种情况,得到研究区域内的Newmark累积位移分布及危险性区划。结果表明：与未降雨情况相比,后两种情况下地震滑坡高危险程度区域面积占比计算区域随着降雨时间的增加从1%分别提高至9%、12%,滑坡低危险程度区域面积从51%分别降低至35%、33%;坡度值与入渗深度值越大,滑坡位移越大,危险性越高。Newmark改进模型充分考虑了降雨对地震滑坡产生的促进作用,能更好地反映出研究区每个场点相对的滑坡危险性,对滑坡危险性预测具有一定指导意义。     

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。     

走滑型断层地表永久位移预测模型研究

论述了断层地表永久位移概率地震危险性分析方法的发展过程和应用现状,指出了断层地表破裂预测模型研究的意义。根据我国最近的活动断层地表破裂震后调查结果,基于走滑型断层地表破裂数据,拟合了地表破裂预测模型。采用地震活动性模型和地表破裂预测模型,计算了则木河断裂地表迹线上的永久位移危险性曲线,对预测模型在工程场地地震危险性分析中的应用,提出了建议。     

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.     

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.     

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.     

Regional seismic slope failure probability matrices

A method for constructing seismic slope failure probability matrices is presented. The core of the method is a probabilistic sliding block model which allows for systematic incorporation of the uncertainties associated with both the ground excitation and the strength of the slope materials. The extent of damage to a slope is defined in terms of the magnitude of the earthquake-induced permanent displacement. The intensity of the ground shaking is characterized by a peak ground acceleration as well as an earthquake magnitude, and the possible scatter in the ground motion details is included through the use of an equivalent stationary motion model. After the effects of essential contributing factors are discussed, regional seismic slope failure probability matrices are presented for general applications.     

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.     

黄土斜坡地震动时程分析

应用地震危险性分析理论和地震动人工合成技术，给出Newmark法中所需的地震动时程，解决了斜坡稳定性分析Newmark法中难以选取合适地震动时程的难题。通过对黄土斜坡实例计算，给出了坡体中地震动峰值加速度与深度的关系；在计算坡体位移时，提出了等效峰值加速度的概念；对比了使用地面地震动时程和使用坡体内等效地震动时程的计算结果。