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1.
Embankment dams are important and costly civil engineering structures that provide an essential infrastructure for the management of water. One of the critical aspects of dam design is the analysis of stability and safety of the earth structure under various operating and environmental conditions. Traditionally, a deterministic approach is used for such analysis. However, the determination of variables such as soil strength parameters, pore pressure and other pertinent properties involves uncertainties, which cannot be handled in the traditional deterministic methods. It is, therefore, highly desirable to develop a reliability based analytical/numerical methodology for stability analysis of dams taking into account these uncertainties. Reliability and probability theories are developed in this paper for assessing the reliability index and the corresponding probability of failure of multi-layered embankment dams and slopes. Two definitions were used to calculate the reliability index (i.e. the normal distribution and the log–normal distribution). The computer program
was developed and validated by the Congress Street open cut failure case. The developed approach was used to study the stability of the King Talal embankment dam. The results are discussed and conclusions drawn. 相似文献
2.
潘建平 《水文地质工程地质》2011,38(4):117-120
为了更好地进行场地液化评价,将可靠度理论引入水平场地液化概率评价中。以标准贯入试验(SPT)实测数据的统计分析结果为基础,用一次二阶矩法(FOSM)建立水平场地液化概率评价模型,分析了测试数据变异系数对抗液化安全系数与液化概率的影响,并建议了水平场地液化概率评价标准。实例分析表明,新建水平场地液化概率评价模型各参数的物理意义与统计指标明确,相比传统的确定性分析方法,不仅能判定液化的发生与否,还能给出液化发生的概率,这为进行基于风险分析的抗震设计提供了可能。 相似文献
3.
基于Logistic回归模型的砂土液化概率评价 总被引：2，自引：1，他引：1
以国内外23次地震中200组场地液化实测数据为基础,通过Logistic回归分析,建立关联修正标准贯入击数N160cs与循环应力比CSR的液化概率模型。以50 %液化概率水平为液化与非液化的临界点,建立了指数形式的抗液化应力比CRR计算式,新建概率模型预测饱和砂土液化与非液化的成功率分别为85.71 %和76.14 %,具有较高的可靠性。与已有模型比较,使用了新的数据和修正系数,消除了一些不合理的偏差,总体判别结果偏于安全。为了将确定性分析方法与概率分析方法联系起来,建立了抗液化安全系数FS与液化概率PL的关系式。算例结果表明,新建概率模型简单、实用、可靠。 相似文献
4.
Alitabar Abbas Noorzad Reza Qolinia Afshin 《Geotechnical and Geological Engineering》2021,39(6):4237-4251
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.
相似文献5.
A genetic algorithm approach for assessing soil liquefaction potential based on reliability method 总被引：1，自引：0，他引：1
Deterministic approaches are unable to account for the variations in soil’s strength properties, earthquake loads, as well
as source of errors in evaluations of liquefaction potential in sandy soils which make them questionable against other reliability
concepts. Furthermore, deterministic approaches are incapable of precisely relating the probability of liquefaction and the
factor of safety (FS). Therefore, the use of probabilistic approaches and especially, reliability analysis is considered since
a complementary solution is needed to reach better engineering decisions. In this study, Advanced First-Order Second-Moment
(AFOSM) technique associated with genetic algorithm (GA) and its corresponding sophisticated optimization techniques have
been used to calculate the reliability index and the probability of liquefaction. The use of GA provides a reliable mechanism
suitable for computer programming and fast convergence. A new relation is developed here, by which the liquefaction potential
can be directly calculated based on the estimated probability of liquefaction (P
L
), cyclic stress ratio (CSR) and normalized standard penetration test (SPT) blow counts while containing a mean error of less
than 10% from the observational data. The validity of the proposed concept is examined through comparison of the results obtained
by the new relation and those predicted by other investigators. A further advantage of the proposed relation is that it relates
P
L
and FS and hence it provides possibility of decision making based on the liquefaction risk and the use of deterministic approaches.
This could be beneficial to geotechnical engineers who use the common methods of FS for evaluation of liquefaction. As an
application, the city of Babolsar which is located on the southern coasts of Caspian Sea is investigated for liquefaction
potential. The investigation is based primarily on in situ tests in which the results of SPT are analysed. 相似文献
6.
LHS方法在边坡可靠度分析中的应用 总被引：8，自引：0，他引：8
Monte Carlo（MC）法在目前边坡可靠度分析中是一种相对精确的方法,应用广泛,受问题限制的影响较小,适应性很强,其误差仅与标准差和样本容量有关。但其精度受随机抽样的可靠性和模拟次数制约,收敛速度慢,影响了实际使用。在极限平衡方法的基础上,用拉丁超立方抽样（Latin hypercube sampling,LHS）方法代替MC法的随机抽样,考虑边坡参数的变异性和相关性进行边坡可靠度分析。讨论了LHS法、MC法中可靠指标的各种计算方法,建议以破坏概率、安全系数均值和标准差作为评价指标。算例显示LHS法较MC法效率上有很大改善：较少的抽样样本就能反映参数的概率分布,可靠度分析收敛快,不需要大量的模拟,因此,值得在边坡可靠度分析中推广应用。也将工程上常用的均匀设计和正交设计用于边坡可靠度分析,结果表明,正交设计结果和中心点法比较接近,而均匀设计得到的结果则是不可靠的。 相似文献
7.
确定性设计安全系数法由于简单易行得到了广泛的应用。可靠度方法在一定程度上弥补了确定性设计中不能考虑实际工程中岩体参数离散性的问题，使设计更加符合实际情况。函数连分式方法在边坡一次二阶矩概率设计中可以方便地计算出状态函数对各随机变量的偏导数，也可使传统安全系数法和可靠度分析有机结合。考虑经济最优的原则，结合风险分析来确定可靠度法设计中的可靠度数值问题。由安全系数和可靠性共同度量边坡系统的稳定性，建立传统安全系数与可靠度理论耦合的边坡稳定二元体系，可有效地考虑边坡系统内实际存在的不确定性和相关性，使边坡的稳定性评价更加客观精确，为边坡安全和滑坡灾害的风险性管理提供理论和方法。 相似文献
8.
Correlated random variables are commonly involved in probabilistic slope stability analysis, such as reliability analysis of slopes with spatially variable soil properties. This paper proposes a simple Correlated Sampling Technique (CST) for generating samples of correlated random variables. The CST firstly produces correlated standard-normally distributed samples through linear combinations of independent standard-normally distributed samples. Correlated arbitrarily distributed samples can then be obtained by the Nataf transformation. The CST was combined with FOSM (named CST-based FOSM) for probabilistic slope stability analysis. The slope reliabilities of a single-layered cohesive soil slope and a high earth and rockfill dam were analyzed to illustrate the CST-based FOSM. These illustrative examples indicated that the CST-based FOSM can accurately estimate the slope reliability indices with considerably fewer simulations (especially in the case of low failure probability) compared with direct MCS, and the slope reliability was sensitive to the correlation of the strength parameters. 相似文献
9.
以剪切波速与地表峰值加速度为依据的地震液化确定性及概率判别法 总被引：2，自引：0，他引：2
剪切波速作为土性的基本参数,为评价土体抵抗地震液化的能力提供了一种方法。回顾了以剪切波速和地表峰值加速度为依据的场地地震液化判别方法的演化历史,依据他人收集的现场液化资料,合计49次地震、618例液化/不液化场地数据,提出了确定液化临界曲线的基本原则,给出了基于修正剪切波速与地表峰值加速度的液化临界曲线,验证了液化临界曲线的位置对细粒含量、有效上覆压力、震级等因素取值变化的合理性,分析了估计土层循环应力比CSR的剪应力折减系数、震级标定系数、有效上覆压力修正系数等因素的不确定性对液化临界曲线的敏感性。结果表明：液化临界曲线对各种影响因素具有很好的适用性。利用Monte Carlo模拟、加权最大似然法和加权经验概率法,给出了建议的液化临界曲线的名义抗液化安全系数与液化概率的经验关系式及概率等值线,并对核电厂Ⅰ类、Ⅱ类和Ⅲ类抗震物项地基,分别建议了相应的液化临界曲线。该方法以丰富的现场液化数据为依据,具有广泛的应用前景。 相似文献
10.
Soil liquefaction studies at Mumbai city 总被引：1，自引：0，他引：1
Mumbai city is the economical capital of India and is situated about midway on the western coast of stable continental region of Peninsular India. Major part of the city being of reclaimed land, the soil type is of alluvium, sand, and recent conglomerate. There are some bigger water bodies within the city range. In this study, an attempt has been made to study the susceptibility of soil liquefaction using simplified empirical procedure based on number of blow counts (N values) of the soil layers from standard penetration test. The liquefaction susceptibility is quantified in terms of factor of safety along the borehole depths at available borehole locations using earthquake-induced cyclic stress on the soil and the cyclic resistance of the soil to withstand the load. The factor of safety against liquefaction is evaluated at different sites for two peak ground acceleration (PGA) levels pertaining to 10 and 2?% probability of exceedance in 50?years corresponding to uniform hazard response spectra for Mumbai city with 475- and 2,475-year return period, respectively. Contour maps are prepared that display the factor of safety at different depths for earthquake magnitude of M w 6.5. These contour maps show the liquefaction vulnerability at different sites in the city. 相似文献
11.
边坡稳定性一直是边坡安全的重点研究对象,针对边坡评价中常见的不确定性因素,可靠度分析是值得利用的方法。为评价某节理发育的岩质岸坡稳定性,通过有限元计算软件,结合现场勘探测绘数据,建立以边坡节理强度参数c、φ为输入变量,安全系数为输出变量的点估计（PEM）计算概率模型,计算结果表明:节理发育对该边坡变形具有明显控制作用;边坡整体可靠性较好,破坏概率极低。最后,通过蒙托卡罗法对可靠度结果进行验证,结果表明两种方法的计算结果不存在显著性差异。研究结果表明节理对岩质边坡稳定具有良好的敏感性,基于节理不确定性的点估计法分析边坡可靠度是一种有效的方法。 相似文献
12.
A critical relation for mobilization (failure) of an inclined, uniform soil layer is developed, based on the requirement for
balancing the driving stress and the resistance stress acting on the soil layer. Taking into consideration of the uncertainties
of parameters of the considered soil layer, the equation of the failure probability (Eq. 18) and the equation of the critical slope at various probabilities of failure (Eq. 22) for the soil layer by applying the first-order second-moment method (FOSM) were developed. The failure probabilities at
various mean relative water depths subject to the upper and lower values of the coefficients of variations of parameters and
two inclined angles of the soil layers are also estimated by using the Monte Carlo simulation method (MCSM) as well as by
using FOSM for comparisons. The results obtained by FOSM are in good agreement with that obtained by MCSM, but the former
is more efficient. Given the mean values and the coefficients of variation of related parameters of the soil layer, one can
easily estimate the failure probability and the critical failure slope of the soil layer by applying the equations or graphs
developed in the present study. 相似文献
13.
以标贯试验为依据的砂土液化确定性及概率判别法 总被引：1，自引：0，他引：1
核电厂址非基岩场地的地基液化问题是核电厂选址的关键问题,亟需建立核电厂址地基液化判别方法。回顾了以标贯试验和地表峰值加速度为依据的砂土液化判别方法的演化历史,依据Idriss-Boulanger确定液化临界曲线的基本方法,提出了确定液化临界曲线的基本原则,分别依据美国液化数据库、中国抗震规范液化判别式所用的液化数据及综合两者的液化数据资料,给出了相应的液化临界曲线,验证了液化临界曲线的位置对不同的细粒含量、有效上覆压力、现场试验方法的液化数据的合理性,分析了测量或估计土层循环应力比和修正标贯击数各种因素的不确定性对液化临界曲线的敏感性,结果表明：所提的液化临界曲线不易受各种因素的影响。利用Monte Carlo模拟、加权最大似然法和加权经验概率法,给出了液化临界曲线的名义抗液化安全系数与液化概率的经验关系式及概率等值线,并对核电厂Ⅰ类、Ⅱ类和Ⅲ类抗震物项地基,给出了相应的液化临界曲线。 相似文献
14.
土钉支护结构可靠度分析的电子表格法 总被引：1，自引：0，他引：1
岩土工程中存在大量的不确定性,因此,进行土钉支护结构的可靠度分析是十分必要的。利用Excel的规划求解及VB编程功能,采用电子表格法,建立了适用于分层土体的电子表格计算模型,进行了土钉支护结构内部稳定的可靠度分析,得出了最小可靠指标及其相应的临界滑面位置。建立的电子表格模型由数据输入模块、土钉计算模块、土层计算模块、可靠指标计算模块及优化求解模块5部分组成。模型建立之后,只需改变电子表格中的输入数据,即可适用于不同土钉支护结构的可靠度分析。算例分析表明：方法正确,计算过程简单直观。它既可用于不同工况下土钉支护结构内部稳定的可靠度分析,也可简化为相应情况下的定值法分析。 相似文献
15.
Modeling uncertainty in stability analysis for design of embankment dams on difficult foundations 总被引：2，自引：0，他引：2
A probabilistic 3-D slope stability analysis model (PTDSSAM) is developed to evaluate the stability of embankment dams and their foundations under conditions of staged construction taking into consideration uncertainty, spatial variabilities and correlations of shear strength parameters, as well as the uncertainties in pore water pressure. The model has the following capabilities: (1) conducting undrained shear strength analysis (USA) and effective stress analysis (ESA) slope stability analysis of staged construction, (2) incorporation of field monitored data of pore water pressure, and (3) incorporation of increase of undrained shear strength with depth, effective stress, and pore water pressure dissipation. The PTDSSAM model is incorporated in a computer program that can analyze slopes located in multilayered deposits, considering the total slope width.
The main outputs of the program are the geometric parameters of the most critical sliding surface (i.e., center of rotation/radius of rotation and critical width of failure), mean 2-D safety factor, mean 3-D safety factor, squared coefficient of variation of resisting moment, and the probability of slope failure. The program is applied to a case study, Karameh dam in Jordan. Monitored data of induced pore water pressure in the dam embankment and soft foundation were gathered during dam construction.
The stability of Karameh dam embankment and foundation was evaluated during staged construction using deterministic and probabilistic analysis. Foundation stability was evaluated based on the monitored data of pore water pressure.
The study showed that the mean values of the corrective factors which account for the discrepancies between the in situ and laboratory-measured values of soil properties and for the modeling errors have significant influence on the 2-D safety factor, 3-D safety factor, slope probability of failure, and on the expected failure width.
The degree of spatial correlation associated with shear strength parameters within a soil deposit also influences the probability of slope failure and the expected failure width. This correlation is quantified by scale of fluctuation. It is found that a larger scale of fluctuation gives an increase in the probability of slope failure and a reduction in the critical failure width. 相似文献
16.
提出了一套基于随机响应面法的边坡系统可靠度分析方法。该方法首先从大量潜在滑动面中筛选出代表性滑动面。针对每条代表性滑动面,采用Hermite多项式展开建立其安全系数与土体参数间的非线性显式函数关系（即随机响应面）。然后,采用直接蒙特卡洛模拟计算边坡系统失效概率。在蒙特卡罗模拟中,采用所有代表性滑动面的随机响应面计算每一组样本所对应的边坡最小安全系数。最后,以两个典型多层边坡系统可靠度问题为例验证了该方法的有效性。结果表明：文中提出的边坡系统可靠度分析方法能够有效地识别边坡代表性滑动面,具有较高的计算精度和效率,并且确定代表性滑动面时无需计算滑动面间的相关系数。同时该方法可以有效地计算低失效概率水平的边坡系统可靠度,为含相关非正态参数的边坡系统可靠度问题提供了一条有效的分析途径。此外,多层边坡可能同时存在多条潜在滑动面,基于单一滑动面（如临界确定性滑动面）或者部分代表性滑动面进行边坡系统可靠度分析均会低估边坡失效概率。 相似文献
17.
地震工况下坝坡的抗滑安全系数取值标准研究 总被引：1，自引：0，他引：1
地震工况下的坝坡抗滑稳定性核算一直是大坝安全性评价的重要环节,采用科学合理的计算方法是评价坝坡安全性的基本保证。本文从概率极限分析的角度探讨了坝坡稳定性可靠度分析的概率意义,提出了将地震发生当做概率事件的坝坡可靠度计算方法。为验证将地震超越概率纳入坝坡稳定分析中的合理性,本文通过两个典型算例和小浪底坝坡典型剖面的抗滑稳定性分析研究了坝坡在地震工况下的单一安全系数与可靠指标的变化规律。研究结果表明在坝坡稳定分析中引入超越概率计算所得结果与工程实际相符,与以往的将地震发生当做确定性事件计算方法相比,该方法显著提高了坝坡的可靠指标值;比较可靠指标与单一安全系数的取值标准显示出在坝坡稳定分析中合理地引入地震概率分析方法能够保证坝坡在地震和正常工况下有相近的可靠指标值 相似文献
18.
Mohsen Abbaszadeh Kourosh Shahriar Mostafa Sharifzadeh Mehrdad Heydari 《Geotechnical and Geological Engineering》2011,29(4):581-596
Nowadays, there are many new methods for slope stability analysis; including probabilistic methods assessing geotechnical
uncertainties to develop safety factors. In this paper, a reliability index analysis for the Sungun copper mine slope stability
is evaluated based on three methods of uncertainties consisting Taylor series method, Rosenblueth point estimate method and
Monte-Carlo simulation method. Sungun copper mine will be one of the Iran’s biggest mines with final pit’s height of 700 meters.
For this study two of its main slopes were assessed, one dipping to the NE (030) and the other to the SE (140). Probability
density function of cohesion and angle of friction for the slopes were developed using limit equilibrium methods. These shear
strengths were then used to determine the probability density function of safety factor and reliability index using the probabilistic
methods. Results of the probabilistic analysis indicate that with ascending values of the uncertainties the reliability index
decreases. Furthermore, it was determined that with the Monte Carlo simulation the seed number used has little effect on the
reliability index of the safety factor especially with seed numbers in excess of 1200. Variations in the overall reliability
index of safety factor were observed between the two slopes and this difference is explained by the differences in complexities
of the geology within the cross-section. 相似文献
19.
双排钢板桩围堰的整体稳定性具有较大的不确定性,同样安全系数情况下对应的失稳概率可能不同。为了更准确地分析双排钢板桩围堰的整体稳定性,降低稳定性分析中的不确定性,采用贝叶斯方法对船坞双排钢板桩围堰的整体稳定性进行可靠度分析。首先通过统计数据获取土体参数的先验分布,然后基于实测数据采用贝叶斯方法更新参数以得到后验分布,最后根据参数的后验分布采用一次二阶矩计算围堰结构的可靠度。贝叶斯方法从理论的角度解决了已有工程经验和实际案例数据两方面信息有效综合的问题,能在更接近实际情况的前提下进行可靠度分析。 相似文献
20.
Pijush Samui Tim Lansivaara Madhav R. Bhatt 《Geotechnical and Geological Engineering》2013,31(4):1329-1334
This paper investigates the feasibility of Least square support vector machine (LSSVM) model to cope the problem of implicit performance function during first order second moment (FOSM) method based slope reliability analysis. LSSVM is firmly based on the theory of statistical learning. In LSSVM, Vapnik’s ε -insensitive loss function has been replaced by a cost function which corresponds to a form of ridge regression. Here, LSSVM has been used as a regression technique to approximate implicit performance functions. A slope example has been presented for illustrating the applicability of LSSVM based FOSM method. The developed LSSVM based FOSM has been compared with the artificial neural network (ANN) and least square method. The result shows that the approximation of LSSVM can be used in the FOSM method for slope reliability analysis. 相似文献