层状岩体边坡动态稳定性拟静力上限分析

将强度折减技术与极限分析上限定理结合,利用安全系数Fs评定指标对层状岩体边坡进行稳定性上限分析,与已有研究成果进行了对比分析,并较为详细地分析了相关参数对层状岩体坡体安全系数和潜在破裂面的影响。分析结果表明,与同类计算方法的对比可以证明表明文中方法的正确性;边坡安全系数和破坏范围受边坡坡度、岩体重度、边坡高度、动载效应系数和岩层倾角的控制;当岩层倾角处于一定范围时,层状岩体边坡发生顺层失稳的可能性最大,工程中需特别注意。     

Evaluation of the Instability Risk of the Dam Slopes Simulated with Monte Carlo method (Case Study: Alborz Dam)

Embankment dams are one of the most important geotechnical structures that their failures can lead to disastrous damages. One of the main causes of dam failure is its slope instability. Slope Stability analysis has traditionally been performed using the deterministic approaches. These approaches show the safety of slope only with factor of safety that this factor cannot take into account the uncertainty in soil parameters. Hence, to investigate the impact of uncertainties in soil parameters on slope stability, probabilistic analysis by Monte Carlo Simulation (MCS) method was used in this research. MCS method is a computational algorithm that uses random sampling to compute the results. This method studies the probability of slope failure using the distribution function of soil parameters. Stability analysis of upstream and downstream slopes of Alborz dam in all different design modes was done in both static and quasi-static condition. Probability of failure and reliability index were investigated for critical failure surfaces. Based on the reliability index obtained in different conditions, it can be said that the downstream and upstream slope of the Alborz dam is stable. The results show that although the factor of safety for upstream slope in the state of earthquake loading was enough, but the results derived from probabilistic analysis indicate that the factor of safety is not adequate. Also the upstream slope of the Alborz dam is unstable under high and uncontrolled explosions conditions in steady seepage from different levels under quasi-static terms.

     

Effect of Surcharge on the Stability of Anchored Rock Slope with Water Filled Tension Crack under Seismic Loading Condition

In this paper, an analytical expression is derived for the factor of safety of the rock slope incorporating most of the practically occurring destabilizing forces as well as the external stabilizing force through an anchoring system. The slope stability is analyzed as a two-dimensional problem, considering a slice of unit thickness through the slope and assuming negligible resistance to sliding at the lateral boundaries of the sliding block. A detailed parametric study is presented to investigate the effect of surcharge on the stability of the rock slope for practical ranges of governing parameters such as inclination of the slope face, inclination of the failure plane, depth of tension crack, depth of water in tension crack, shear strength parameters of the material at the failure plane, unit weight of rock, stabilizing force and its inclination, and seismic load. For the range of parameters considered in the present study, it is found that the factor of safety of the rock slope decreases with increase in surcharge; the rate of decrease being relatively higher for lower values of surcharge. It is also observed that for a specific surcharge, the factor of safety depends significantly on all other parameters, except for unit weight of rock and higher values of inclination of stabilizing force to the normal at the failure plane. For any combination of these variables, the surcharge plays a vital role in the stability. A perfectly stable slope at relatively low surcharge can become unsafe with the increase in surcharge. The deterioration in the stability can be quite rapid, depending on the combination of the factors under consideration. The analysis and the general expression proposed herein can be used to carry out a quantitative assessment of the stability of the rock slopes.     

降雨矿震叠加作用下抚顺西露天矿边坡稳定性分析

夏季抚顺降雨频发且持续时间长,若遇上矿震,边坡极易失稳破坏。为分析雨季矿震作用对抚顺西露天矿的影响,采用极限平衡法整合渗流场,分析边坡稳定性。结果表明:相同雨强,持续时间越长,孔隙水压力等值线越密集,等值线闭合区域越多,边坡的安全系数越低;相同持时,雨强越大,孔隙水压力等值线图变化越快;降雨量相同,雨强越小雨水入渗影响的范围越大;加入水平矿震荷载系数后,随着矿震烈度增加,边坡安全系数降低。边坡降雨存在一个降雨临界值,降雨量未到达临界值时,边坡的安全系数下降缓慢,当到达临界值后,安全系数迅速下降。降雨和矿震对边坡安全影响极大,应当提前对边坡进行加固。     

Influence of model type,bias and input parameter variability on reliability analysis for simple limit states in soil–structure interaction problems

ABSTRACT

A general closed-form solution for the true probability of failure of a simple limit state function with one load term and one resistance term is derived. The formulation considers contributions due to model type, uncertainty in method bias values, bias dependencies, uncertainty in estimates of nominal values for correlated and uncorrelated load and resistance terms, and average margin of safety expressed as the operational factor of safety. Example calculations are presented using different load and resistance models for the pullout internal stability limit state of steel strip reinforced soil walls together with matching bias data reported in the literature.     

Rock-soil slope stability analysis by two-phase random media and finite elements

To investigate the strong random nature of the geometric interfaces between soil and rock, a rock-soil slope is considered as a two-phase random medium. A nonlinear translation of a Gaussian field is utilized to simulate the two-phase random media, such that the soil(or rock) volume fraction and the inclination of the soil layer can be examined. The finite element method with random media incorporated as the material properties is used to determine the factor of safety of the rock-soil slope. Monte-Carlo simulations are used to estimate the statistical characteristics of the factor of safety. The failure mode of the rock-soil slope is examined by observing the maximum principal plastic strain at incipient slope failure. It is found that the critical surface of a rock-soil slope is fairly irregular, and it significantly differs from that of a pure soil slope. The factor of safety is sensitive to the soil volume faction, but it is predictable. The average factor of safety could be well predicted by the weighted harmonic average between the strength of soil and rock; the prediction model is practical and simple. Parametric studies on the inclination of the soil layer demonstrate that the most instable scenario occurs when the slope angle is consistent with the inclination of the soil layer.     

加肋土工膜衬垫系统稳定性分析

针对填埋场衬垫系统薄弱界面容易失稳,在加肋土工膜与砂土界面力学机制分析的基础上,改进了传统双楔体分析法,考虑了加肋土工膜肋块端部端承阻力对衬垫系统稳定性的影响,建立了加肋土工膜衬垫系统稳定性分析解析解。结合某实际工程初步设计,对加肋土工膜衬垫系统进行了稳定性分析,探讨了肋块形状、肋块高度和加肋间距对衬垫系统安全系数的影响。分析结果表明,该解析解能更好地计算加肋土工膜衬垫系统的安全系数。当加肋间距为20 mm时,肋块高度对安全系数的影响较大;当肋块高度一定时,安全系数随着加肋间距增加而逐渐减小;在加肋间距大于200 mm之后,加肋土工膜已接近光面土工膜的剪切特性。     

不同安全系数对应的边坡滑动面位置分析

为了探讨强度折减计算边坡稳定性过程中安全系数和滑动面之间的关系,针对一均质边坡算例,通过理论分析和FLAC3D强度折减法数值计算,分析当黏聚力 和内摩擦角 变化时,边坡安全系数和滑动面位置的响应情况,结果表明：(1) 边坡的安全系数受到黏聚力或内摩擦角中任一值的影响,而滑动面位置受到两者组成的函数 （ ）的影响;(2) 当 为定值时,改变抗剪强度参数 和 并不能引起滑动面位置的变化;当 增大时,边坡破坏模式由浅层破坏转变为深层破坏,滑动面越来越缓,其上缘逐渐远离坡顶,滑体的体积增大。     

基于SLFT边坡双折减系数强度失稳判据

基于滑移线场理论（SLFT）,提出了一种边坡双折减系数强度折减法失稳判据:当由滑移线场理论计算得到的极限状态下的边坡坡面（简称"极限稳定坡面"）与原坡面相交于坡脚时,判断边坡处于极限状态。基于提出的失稳判据构建了双折减系数倒数空间的临界曲线,并推导了整体安全系数计算公式。边坡算例计算结果表明:初始点和临界曲线的3种相对位置关系（点在曲线上方,点属于曲线,点在曲线下方）对应3类边坡整体安全系数（FS>1,FS=1,FS<1）,整体安全系数计算结果与边坡状态相符合,确定的临界滑裂面形状以及在边坡中的位置都与已有结论一致。提出的失稳判据适用于计算配套系数和整体安全系数,实现了失稳判据的客观标准定量化。      

Neotectonics and slope stabilization at the Alhambra, Granada, Spain

Over 600 years, the Alhambra Palace of Granada, Spain, (a World Heritage site) has been damaged by earthquakes and slope instability. The western part of San Pedro Cliff, on the northern slope of the palace is a compound fault scarp — fault-line scarp, modified by river erosion and latterly by successive slab falls. The plane of the fault with the largest throw (c. 7 m) outcrops in the innermost part of the escarpment, and is a normal fault with a NW–SE strike and steep SE dip. It is part of a set outcropping along the Alhambra hill. Fault activity may be very recent, perhaps related to historical earthquakes. Seismic risk at the Alhambra is considered to be moderate: there is earthquake damage of the Arab walls and barrier. The most significant historical damage occurred in 1431 and partially collapsed the Arab barrier. Extension associated with the faults loosens the ground and contributes to slab falls. The faults are also preferential water paths. Both the many cracks of the walls and collapses of the Alhambra barrier appear concentrated and aligned with the fault set.Stability analyses suggest that the factor of safety of the San Pedro slope under 1000-yr-return-period earthquake loading may drop below 1.0 and the critical slip surface could penetrate the Alhambra walls. To raise the safety factor above 1.0 and to counteract extensional stress in the cliff, an apparently environmentally acceptable solution with minimal visual impact is proposed. It consists of high-yield-stress wire mesh, post-tensioned by anchors, and coloured to blend with the cliff.     

地震条件下不同类型边坡的稳定性研究

用sarma法计算了不同坡高、不同坡角、不同岩体和结构面力学参数的边坡在不同水平地震加速度系数下对应的安全系数,建立了一套能方便快捷地查询边坡安全系数的系统,为各种类型边坡的稳定性评价提供了依据。此外,还分析了坡高、坡角、地震加速度系数、岩体和结构面力学参数对地震边坡安全系数的影响。通过对比查询系统得到的安全系数与其他已有的地震边坡稳定性评价方法得到的安全系数的差异,得出用这种新安全系数查询方法得到的安全系数与其他安全系数计算方法得出的安全系数相差不大。通过将这种新的地震边坡稳定性评价方法应用到几个实际边坡中,所得到的评价结果与滑坡的实际发生情况一致。     

地震效应下三维非均质土坡稳定性极限分析

基于极限分析上限定理,采用拟动力法研究了地震效应下非均质土坡的三维稳定性,并通过重度加大法（GIM）推导出边坡安全系数的显式表达式。此外,采用遗传算法进行优化,将所得结果进行对比验证,详细分析了地震条件下相关参数对边坡稳定性的影响。分析结果表明：边坡高度一定时,宽高比、边坡倾角的增大以及土体内摩擦角、非均质系数的减小均会造成安全系数的降低;拟静力法获得的结果相比于拟动力法较大,两种方法结果的差值会随着水平地震系数、有效内摩擦角的增大而增大,随着边坡倾角的增大而减小;土体放大系数的增大会导致安全系数减小,而地震波周期及波速的变化几乎对安全系数没有影响;滑动面轨迹受水平地震系数的影响较大,而受非均质系数的影响相对较小。     

极限平衡理论下边坡强度参数反演及加固稳定性分析

参数反演是获得较为可靠的边坡强度参数的一种有效手段。本文在对边坡临界滑动面进行判别的情况下,以瑞典法为基础,通过建立强度参数之间及其与临界滑动面一一对应的关系推导得边坡强度参数反演的显式计算公式。然后,将反演结果用于锚索加固条件下的边坡稳定性研究。经工程算例分析验证了本文方法的可行性和实用性,并得到如下结论:(1)预应力锚索能对边坡形成有效的加固作用,且锚索在坡面上的位置越靠近滑动面的滑出点时其对边坡的稳定性越有利; (2)锚索的预应力越大则计算得到的安全系数越大,而锚索水平倾角的增大对计算得到的安全系数影响微小。     

PSO-based stability analysis of unreinforced and reinforced soil slopes using non-circular slip surface

Slope stability analysis is one of the most intricate problems of geotechnical engineering because it is mathematically difficult to search the critical slip surface of earth slopes with complex strata owing to the involved multimodal function optimization problem. At present, a minimum factor of safety for a non-circular slip surface in a uniform and unreinforced earth slope can be calculated using several methods; however, for a reinforced soil slope, it cannot be easily calculated because of the additional effect of the reinforcement. One efficient method to search the critical slip surface is particle swarm optimization (PSO). PSO can solve complex non-differentiable problems, and its increasing ease of use has facilitated its application to multimodal function optimization problems in a variety of fields. However, the recommended PSO parameters to calculate the safety factors of unreinforced and reinforced soil slopes, namely the inertia and local and global best solution weighting coefficients, have not been sufficiently investigated. Moreover, the computational efficiency of PSO for safety factor calculation, including computational accuracy and time, has not been clarified. To calculate the unreinforced and reinforced soil slope safety factors, this study considers force and moment equilibriums, including the tensile force of the reinforcement. Firstly, the computational efficiency of the calculation process by PSO was shown to increase the maximum number of slip surface nodes in the calculation of the safety factor. Then, an analysis was carried out to investigate the safety factor sensitivity to the PSO parameters. Based on this analysis, appropriate PSO parameters for the safety factor calculation of unreinforced and reinforced soil slopes were proposed.

     

降雨条件下顺倾向煤系地层边坡稳定性的影响研究

煤系地层具有岩层软硬不均,层间胶结较差,风化速度快,遇水易软化,结构易破坏导致强度丧失等特点,特别是夹层中炭质泥岩或页岩具有强度低、易活化、易变性和渗透系数相对较小的特点,这决定了其对整体边坡的稳定性具有控制作用。文章分析了煤系地层边坡饱和、非饱和渗流降雨条件（降雨强度）、土性参数（夹层饱和渗透系数）以及边坡形状尺寸（坡脚、夹层倾角、夹层埋深）等因素对边坡渗流特点及稳定性的影响,发现软弱夹层与上下岩体渗透性差异性对边坡稳定性影响明显;软弱夹层埋置越浅,边坡越易失稳;降雨强度越大,边坡越易沿软弱夹层发生滑坡;并非坡脚越大降雨之后边坡的安全系数降低幅度就大,而是随着夹层倾角的增大,边坡的安全系数逐渐降低,边坡越易沿软弱夹层发生滑坡,这些认识对煤系地层边坡的设计和治理有重要的参考意义。      

层状岩质边坡遍布节理模型的三维稳定性分析

采用遍布节理模型（ubiquitous-joint模型）描述层状岩体的各向异性特征,并探讨ubiquitous-joint准则中安全系数的计算方法,利用FLAC3D分析层理倾角、倾向与边坡稳定性之间的关系,结果表明：（1）对于顺层边坡,当岩层倾向与坡面倾向的夹角 较小时,边坡的安全系数随层理倾角 的增大呈现先减小后增大再减小的趋势; 20°～30°时,安全系数得到最小值, 60°时安全系数得到最大值;不同破坏型式导致安全系数变化规律之间的差异;当 较大时,曲线从先减小后增大的趋势转变为不断增大的趋势;根据 的大小将顺层边坡分为两类：当 45°时,为严格顺层边坡;当45° 90°时,为斜向层状边坡。（2）对于逆层边坡,当 45°时,曲线呈现先增大再减小然后又增大的趋势,各曲线随 的变化程度基本相同;但减小过程中,随着 的增大,曲线的斜率逐渐减小,边坡稳定性的各向异性程度减小;当 45°时,曲线随 的增大呈现非线性单调递增的趋势。（3）安全系数与 之间的关系表明,对于顺层坡,随着 的增大,边坡安全系数逐渐增大;对于逆层坡,当 较小时( 150°),边坡安全系数随 的增大而逐渐减小;随着 的增大( 120°),边坡安全系数与 呈现递增关系。     

基于中主应力修正关系的边坡稳定性分析

边坡稳定性分析时通常将应力条件简化为平面应变状态,采用三轴试验强度计算出的边坡稳定性偏于保守。在充分考虑中主应力物理含义及力学机制的基础上,将Mises屈服准则与Mohr-Coulomb（简称M-C）内切圆屈服准则进行匹配,得到了平面应变条件下土体屈服破坏时中主应力的理论修正关系,进而也得到了该条件下最大主应力与最小主应力的比值关系,从理论上证明了该比值关系是与土体平面应变破坏时内摩擦角成一定关系的常数,也在平面应变试验中得到了验证,从侧面反映出中主应力理论修正关系的合理性。由上述两种关系建立了土体平面应变破坏条件下的应力路径,结合Lade-Duncan强度准则,建立了平面应变条件下强度参数与三轴试验试验条件下强度参数转换公式,由该转换公式得到的平面应变条件下的强度参数与平面应变试验实测值误差在2%左右,大幅缩小了三轴试验实测值与平面应变试验实测值的误差。在均质边坡稳定分析中分别采用常规三轴试验强度值与由公式转换得到的平面应变强度值进行计算。研究结果表明,三轴试验条件下内摩擦角为10°～20°之间时,基于两种强度参数得出的安全系数相差不大;当三轴试验条件下内摩擦角大于20°时,平面应变条件下安全系数较三轴试验条件下提高19%左右,但该成果只在文中计算案例有效,两者误差的准确关系还有待于进一步研究。值得关注的是,由于平面应变条件下土体强度变大,边坡的临界滑面深度变浅了,其形态相应变陡。     

岩质边坡稳定性评价的尖点突变理论模型

考虑岩质边坡后缘张裂隙中的孔隙水压力及地下水对软弱结构面的物理化学作用,将软弱结构面分为应变硬化区和应变软化区,建立单平面滑动破坏的岩质边坡力学模型,引入尖点突变理论,建立尖点突变模型,推导岩质边坡突变失稳的充要力学条件判据,并重新推导极限平衡法的临界稳定系数。结果表明,分叉集方程等于0为岩质边坡突变失稳充要力学条件判据;由于滑面处含水量不同,稳定系数小于1,边坡不一定会发生失稳;稳定系数大于1,边坡也不一定稳定。     

结构面对岩质边坡地震动影响的数值模拟研究

[摘 要] 本文采用数值模拟的方法,利用UDEC 软件,开展了结构面对岩质边坡地震动影响的数值 模拟研究,研究内容涉及结构面产状和位置变化对岩体边坡地震动放大系数空间展布的影响。根据岩 体边坡中结构面发育的一般规律,本文模型工况主要考虑与坡面相交的贯穿性结构面,模拟的主要物理 对象是层面、贯穿性长大软弱结构面等。数值模拟结果表明:结构面越靠近坡顶,边坡上部的地震动响 应越强烈;顺倾结构面会使坡肩部形成更强烈的地震动响应;边坡越陡,坡顶和坡肩部的地震动响应越 强烈。上述规律对于岩质边坡地震稳定性分析具有指导意义。