Application of geogrids in waste dump stability: a numerical modeling approach

Geosynthetic is widely used to reinforce the weak rock mass, mine waste dump, soil slopes road cut slopes, etc. The present paper discusses the effect of geogrids on the stability of mine waste dump. The stability of mine waste dump has been done by Fast Langrage Analysis of Continua (FLAC) slope software, which is based on finite difference method. Reinforcement by geogrids mainly depends on the tensile strength, aperture size of geogrids, and particle size distribution of dump rock mass. Different permutations and combinations of spacing between two geogrid sheets have been taken into consideration to study the stability of mine waste dump. The factor of safety is calculated to quantify the effect of geogrids on waste dump slope. It has been observed from numerical modeling that the maximum slope angle is 45° at a height of 10 m. The scope of increasing slope angle from 45 to 60° is evaluated using geogrids. It has been found from the study that the factor of safety increases as the spacing between geogrids decreases. Maximum strain is also plotted of each case to identify the slip circle. The positions of geogrids modify the probable slip circle or failure plane of mine waste dump. Using ten geogrids at a spacing of 1 m, the slope angle can be increased up to 60° with factor of safety of 1.4.     

不同饱水条件下蚀变岩边坡稳定性分析

露天矿坑蓄水后,边坡岩体长期处于浸水状态,导致岩石抗剪强度产生弱化,对边坡的稳定性产生不利影响。为分析不同饱水条件对边坡蚀变岩抗剪强度参数的影响,对仓上金矿露天矿蚀变岩试件分别进行0、8、20、35、60、100d的饱水处理。由饱水岩样的常规三轴试验结果可得,在不同酸性环境、不同饱水时间条件下,蚀变岩的内摩擦角和粘聚力产生明显的损伤弱化,饱水时间弱化作用强于浸水溶液的酸性状态。饱水时间大于60d后,抗剪强度参数的降低幅度明显减小,饱水时间产生的弱化作用是一定的。根据不平衡推力法对划分露天边坡条块,求解边坡的安全系数,随着饱水时间的增加和浸水溶液酸性的增强,边坡的安全系数呈现显著降低趋势,边坡发生滑坡的概率逐渐增大。试验与理论研究结果可以更好的为露天矿边坡的支护设计提供重要依据。     

A resilience framework for safety management of fossil fuel power plant

In the present study, cut slope stability assessment along ghat road section of Kolli hills was carried out by using various geotechnical parameters of rock and soil slope sections and structural kinematics of major discontinuities is presented. The rock slope (RS) stability assessment was carried out using Rock Mass Rating basic (RMR_basic) and Slope Mass Rating (SMR) classification systems. The type of failure and their Factor of Safety (FOS) for individual RS was calculated using Hoek and Bray method. In the case of soil slopes (SS), the FOS was calculated using Circular Failure Chart (CFC) and Limit Equilibrium (LE) methods. The input data for the slope stability analyses were collected through extensive field work followed by stereonet plotting and laboratory test. There are six rock slope sections, and five soil slope sections were taken into consideration for the cut slope stability analyses. The area depicts class II (RS-1, 2, & 6) and class III (RS-3, 4, & 5) of RMR classes. The SMR result depicts for RS-1, RS-2, and RS-6 are 64.40, 60.02, and 60.70, respectively, and falls in class II stable condition. The SMR values of RS-3 and RS-5 were 44.33 and 57, respectively, and come under the class III partially stable condition. The RS-4 with SMR value of 17.33 falls under the class I completely unstable condition. The FOS of planar failure case indicates that RS-3 (FOS = 0.22) is more unstable, while all other sections are having greater than 1 FOS. The calculated FOS values using CFC method reveals that the FOS is very close to 1 for all the SS sections that fall under completely saturated condition which indicates that these slope sections may fail during heavy rainfall. In LE method, the sections SS-3 and SS-4 are unsafe under partially and completely saturated (natural slope) condition. In average slope condition, all the SS sections are unsafe under partially or completely saturated conditions. The facets 2, 3, 4, and 5 required mitigation measures, to improve the stability of slopes. Site-specific mitigation measures were suggested for partially or completely unstable rock and soil cut slopes.     

Centrifuge modeling of the geogrid-reinforced slope subjected to differential settlement

A series of centrifuge model tests of geogrid-reinforced slopes with superstructure was conducted under differential settlement condition. The influence of reinforcement placement on the deformation and failure behavior of the slope and superstructure is investigated by considering different numbers of geogrid layers. The response of the slope and superstructure is analyzed based on a full-field displacement measurement via image analysis. The differential settlement induces distinguishable superstructure movement and slope deformation above the subsidence zone. The slope displacement, close to the vertical direction, appears only in a limited zone. An integrated analysis scheme of deformation and failure processes is adopted to reveal the failure mechanism of both the unreinforced and reinforced slopes: a certain level of deformation localization induced by differential settlement results in the local failure, and adversely, the local failure aggravates the deformation localization near it. The geogrid reinforcement mechanism is further clarified as the reduction on the deformation localization of the slope due to geogrid placement. The geogrid reinforcement effect can be comprehensively described with two respects: hooping effect and shielding effect, which illustrates the influence sphere and degree of geogrid reinforcement on restraining the slope deformation. The geogrid reinforcement is proven effective to improve the safety of the slope and superstructure.

     

岩质高挖方边坡锚杆参数优化设计研究

针对某220 kV变电站岩质高挖方边坡,采用极限平衡法和数值分析法,设置不同锚杆打入角度和长度方案对边坡的稳定性进行了计算对比分析,优化了锚杆设计参数,评价了坡顶位移监测、深层水平位移监测和锚杆应力监测对锚杆加固效果。结果表明,（1）随着锚杆打入角度的增加,边坡安全系数先增大后减小,存在最优锚固角度,确定22°为最优锚固角度;（2）边坡下部锚杆受力大于上部锚杆受力,设计时应有重点考虑下部锚杆参数。当边坡安全系数不满足设计要求时,应适当增大下部锚杆截面尺寸或增加锚杆长度;（3）各排锚杆应进行不等长设计,锚杆长度通过极限平衡法量取潜在滑动面到坡面的距离进行确定和验算;（4）现场监测结果显示优化设计后的锚杆参数加固效果良好,经济效益可观。     

岩性及岩体结构对斜坡地震加速度响应的影响

斜坡岩体的岩性及岩体结构是斜坡在地震作用下产生变形破坏的主要控制因素。基于振动台模型试验,对4个斜坡模型探讨了这2个因素对斜坡地震动力响应的影响。岩性包括强度相对较高的硬岩和强度相对较低的软岩,对这两种岩性的斜坡又分别考虑了不含结构面的均质斜坡和含水平层状结构面的斜坡。基于传感器采集到的大量数据,以主频相近的天然地震波和10 Hz正弦波加载为分析工况,获得了以下几点认识：（1）4个模型斜坡坡面和坡内的水平向加速度均具有高程放大效应,尤其是软岩斜坡坡顶放大效应最显著;（2）软岩斜坡对水平向加速度的高程放大效应强于硬岩斜坡,尤其是在均质斜坡中表现最显著,均质软岩斜坡的高程放大效应呈现出明显的非线性特征;（3）当加载方向与水平层面平行时,含水平层状结构面的斜坡比均质斜坡产生了更强的高程放大效应,且在软岩斜坡中体现最显著;（4）岩性差异对斜坡水平向加速度高程效应的影响比结构差异的影响更为显著。研究结果为岩质斜坡的抗震设计提供了一定参考。     

Evaluation of factor of safety for vegetated and barren soil slopes with limit equilibrium computations

Limit equilibrium method (LEM) is the most conventional and popular technique in slope stability analysis. Location of the unique failure surface and the determination of corresponding critical factor of safety (critical-FOS) of the soil slope requires a lot of trial and research. With this amount of trial and research results, we evaluate the field of factor of safety (FOS-field), which represents the critical-FOS at a point within the domain of all possible failure surfaces. Such a field can be very important for the precise judgment of the most critical-FOS of the slope and its perturbation. This paper also presents the evaluation of the FOS-field of vegetated slopes, thus providing an analytical way to examine the effect of vegetation on the soil slope stability. We evaluated the stability of vegetated and barren soil slopes under dry and fully saturated conditions. With dry and fully saturated conditions, the behaviour of slopes in most favourable and worst conditions can be simulated. Evaluation of FOS-field for various slope geometries and conditions show that the more unstable the slope becomes, the more difficult it will be to pinpoint the location of the critical failure surface with the unique least FOS. We verified the LEM codes with finite element method (FEM) and spectral element method (SEM) codes considering a sample problem from Smith and Griffiths’ book (Smith and Griffiths 2003).     

含软弱夹层岩质边坡稳定性研究现状及发展趋势

含软弱夹层岩质边坡在自然环境和工程实践中都比较常见，稳定性差，边坡失稳产生了大量的滑坡灾害，造成大量人员伤亡和经济损失。因此，含软弱夹层岩质边坡稳定性研究一直是工程地质和岩土工程领域的研究重点之一。在收集整理国内外相关资料的基础上，从自重工况、开挖工况、暴雨和蓄水工况、地震工况方面总结了目前含软弱夹层岩质边坡稳定性的研究现状及进展，取得如下主要认识:(1)软弱夹层对岩质边坡稳定性有显著不利影响，含软弱夹层岩质边坡的稳定性比均质岩质边坡、不含软弱夹层的层状岩质边坡都差；(2)含软弱夹层岩质边坡的稳定性系数、变形特征和破坏模式与软弱夹层的含水状态、抗剪强度、倾角、厚度、间距、层数和边坡坡度有关；(3)开挖容易诱发坡体沿软弱夹层滑坡，含软弱夹层岩质边坡开挖后需要及时支护；(4)爆破层裂效应改变了软弱夹层与围岩的接触状态，减小了它们之间的凝聚力和摩擦力，导致边坡稳定性降低；(5)暴雨和蓄水都不利于含软弱夹层岩质边坡稳定；(6)岩质边坡地震动力响应和变形破坏特征受软弱夹层参数(厚度、倾角、含水状态)、地震波特性(地震波的类型、幅值、频率、激振方向)和边坡结构(顺层或反倾)共同影响；(7)在软弱夹层对水平向动力响应的放大或减弱作用及厚层软弱夹层的消能减震作用方面仍然存在不同观点。在此基础上，分析了研究方法的优缺点，指出当前含软弱夹层岩质边坡稳定性研究存在的问题。最后，针对该领域的研究现状，提出了未来的研究重点和方向，主要包括:含多层软弱夹层岩质边坡的渐进性变形破坏过程和稳定性；全面深入研究单因素作用(开挖卸荷、爆破、地震、暴雨、库水位变化、地下水等)对含软弱夹层岩质边坡稳定性的影响机制；多因素耦合作用下含软弱夹层岩质边坡稳定性；支挡结构体系对含多层软弱夹层高陡岩质边坡的加固机制。     

Parametric Monte Carlo studies of rock slopes based on the Hoek–Brown failure criterion

Probabilistic evaluation of slope failures is increasingly seen as the most appropriate framework for accounting for uncertainties in design. This paper performs reliability assessments for rock slopes based on the latest version of the Hoek–Brown failure criterion. The purpose of this study is to demonstrate the use of a new form of stability number for rock slope designs that has been recently developed from finite element upper and lower bound limit analysis methods, and to provide guidance for its use in probabilistic assessments. The analyses show that by using this newly proposed stability number, the probability of failure (P_f) obtained from case studies agrees well with the true state of the slope. In addition, this paper details a procedure to determine the magnitude of safety factor required for rock slope design.     

坡后土体推力作用下反倾节理岩质边坡次生倾倒机理分析

次生倾倒破坏是层状反倾岩质边坡的一种主要破坏模式,极限平衡理论是分析倾倒破坏的常用方法,研究反倾节理岩质边坡次生倾倒破坏机理对边坡工程众多的西南山区基础设施建设具有重要的工程指导意义。在Goodman和Bray块体倾倒破坏极限平衡分析方法的基础上,建立了考虑地下水压力、节理连通率、岩体黏聚力等影响因素的反倾岩质边坡在坡后土体推力作用下的次生倾倒地质力学模型,提出了坡后土体推力作用下的反倾节理岩质边坡次生倾倒破坏的解析分析方法,推导出了边坡各岩层下推力的解析表达式,提出了边坡倾倒破坏的综合安全系数,并编写了对应的matlab计算程序,为该类边坡的设计和加固提供了理论依据。通过算例分析表明,与单纯岩质边坡块体倾倒破坏相比,该类边坡次生倾倒破坏形式的特点是破坏基准面以上岩层自上而下依次分为滑移区、倾倒区和稳定区3个部分;地下水压力、节理连通率、底裂面岩体黏聚力对各岩层的破坏形式、稳定安全系数大小都具有明显影响,尤其是在坡体中下部及坡脚部分最为敏感;而各岩层稳定安全系数最小的区域集中于边坡中上部。     

强震作用下核安全级反倾层状软岩高陡边坡组合支挡结构抗震性能研究与加固效果评价

比较了不同行业抗震设计规范中边坡地震影响系数和动态放大系数的取值方法,综述国内核电厂高边坡案例的研究进展。以某工程核安全级反倾层状软岩高陡边坡为例,探讨应用多种方法综合分析其在不同地震作用下的动态放大效应、支挡结构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,采用拟静力法进行边坡的初步加固设计;然后,基于大型振动台试验和数值计算,研究了不同地震作用下软岩高边坡加速度动力放大效应、支挡结构的抗震性能;最后,通过现场工程监测评价边坡的加固效果。研究结果表明,在强震作用下,核安全边坡按其他行业规范中的抗震参数取值方法进行设计是可行的,通过振动台和数值分析验证边坡整体是稳定的,支挡结构抗震性能良好,该研究思路和方法是合理可行的,并能节约大量工程投资。研究成果可丰富核安全级软岩高陡边坡研究理论与方法,并为核安全级软岩高陡边坡抗震安全评价和工程设计提供技术支持。     

降雨条件下软岩边坡渗流-软化分析方法及其灾变机制

降雨条件下软岩边坡的灾变问题是滑坡领域研究的热点与难点。采用间接耦合法进行软岩边坡降雨入渗分析,根据软岩边坡非饱和渗流-应力计算原理,建立了软岩边坡渗流效应分析方法;将软岩抗剪强度的遇水软化特征动态赋予暂态饱和区中对应的软岩体,模拟降雨渗流条件下软岩边坡的软化效应;将渗流与软化相结合,建立基于暂态饱和区的软岩边坡降雨-渗流-软化-灾变的数值分析方法,并用于实例边坡的降雨灾变机制分析。结果显示,软岩边坡潜在滑动面深度随时间逐渐变浅,安全系数-时程曲线呈反向复曲线形态,当边坡开始软化时曲线上出现拐点。边坡稳定性计算结果与实际情况基本相符,表明思路与方法具有一定正确性,可为软岩边坡治理方案设计提供理论依据。     

锚固岩石边坡地震稳定性拟动力分析

地震易发地区的锚固岩石边坡,需要研究其地震稳定性。对于锚固典型岩石边坡,在考虑水平与竖向地震力、张裂缝积水深度、坡顶超载、锚索倾角、锚索位置、锚索拉力及静水与动水压力等的条件下,运用拟静力和拟动力方法分别推导了不同工况条件下其抗滑和抗倾覆地震安全系数。分析表明,竖向向上地震力有利于锚固岩石边坡的抗滑稳定,而竖向下的地震力有利于锚固岩石边坡的抗倾覆稳定;在相同工况条件下,当岩体放大系数等于1.0时,拟动力与拟静力方法所得锚固岩石边坡地震安全系数相差无几,但是,当岩体放大系数逐渐增大时,拟动力方法所得地震安全系数越来越明显地小于拟静力方法所得地震安全系数。因此,在抗震设计当中适当的考虑岩体放大系数,将会有利于锚固岩石边坡的安全设计。     

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。     

空隙特征对砂岩水致劣化规律的影响

针对南京秦淮东河开挖后的稳定性问题,选取黄马青组（T2h）砂岩为研究对象,对砂岩在吸水-干燥循环条件下的单轴抗压、抗拉特性进行试验研究。考虑到未来边坡运营过程中水的影响,试验时分别考虑自然吸水和饱和吸水两种情况。根据试验结果对所研究砂岩的空隙特征、水致劣化特征和劣化机制进行了详细分析。随着吸水-干燥循环次数增加,岩石的抗压、抗拉强度和凝聚力均呈劣化趋势,说明循环次数的增加对岩石的损伤有累积作用。岩石自然吸水条件下（小开空隙未进水时）强度和弹性模量下降速度较慢,而饱和吸水条件下（开空隙被水充满时）强度和弹性模量下降速度较快,表明岩石中小开空隙对岩石的劣化效果显著。微观结构分析结果表明,随着吸水-干燥循环次数增加,岩石中空隙率增大。结合抗剪强度特征分析认为,干-湿循环导致岩石的黏结强度不断下降,而摩擦强度变化较小,表明黏结强度劣化是岩石水致劣化的主要原因,干-湿循环导致水-岩反应,岩石颗粒胶结物发生松散,边缘发生开裂,宏观上表现为岩石劣化。该研究成果对于新开挖河道边坡稳定性分析具有较大的参考价值,为河岸边坡的长期稳定性分析提供了依据。     

再论岩质高边坡稳定性分析方法

岩质高边坡稳定性分析是岩土工程中经典的研究课题,其假定不同,分析方法就不同。从现有稳定性分析方法中存在的问题入手,指出其存在的优劣性,在刚体极限平衡和有限元等传统边坡稳定性分析方法的基础上,提出了用有限单元法直接求解边坡稳定性。该方法的思路是用潜在滑动面上在开挖、支护完成后尚未发生滑动的所有滑面单元模拟边坡在各工况下的真实应力场和变形场,根据这个真实应力场直接计算边坡安全系数。结合现场即时监测手段和计算机仿真技术可逐步模拟边坡在分步开挖期间的稳定性。算例分析表明,该方法完善了刚体极限平衡法的不足,克服了强度折减法强度参数c、?值折减比例的难题,弥补了超载法力学方向不明确的缺陷。计算所得的边坡安全系数和稳定状态与工程实际相当接近,表明提出的方法是可靠有效的新方法,为复杂岩质边坡稳定性分析提供了新的思路和途径。     

饱水条件下千枚岩软化效应试验分析

水岩作用是造成水库岸边坡岩体强度劣化的主要因素,尤其对于千枚岩这类特殊性岩体,遇水时强度劣化现象尤为明显。本文以某边坡千枚岩为研究对象,设计了在不同饱水条件下的岩石常规三轴压缩试验,并综合分析试验结果随饱水时间变化规律。研究结果表明:千枚岩与水作用反应强烈,前60d岩石力学参数随饱水时间增加呈近线性降低,至70d逐渐趋于稳定,岩石变形逐渐由弹性变形为主演变为塑性变形为主;各参数劣化规律具有明显的时效性与非均匀性,随饱水时间增长,总体衰减幅度呈先增加后减小,最终趋于平稳的趋势;根据破裂面的剪切破坏模式,得出岩石饱水是一种从微观到宏观的累计损伤过程。该研究成果对于研究水库岸边坡岩体力学性质变化规律具有一定的参考价值。     

Finite element modelling of landslide prone slopes around Rudraprayag and Agastyamuni in Uttarakhand Himalayan terrain

Himalayan mountain chains are neo-tectonically active and significantly susceptible to frequent geohazards like landslides, earthquakes, cloudburst and flash floods, etc. Himalayan slopes are characterized by highly fractured, jointed and sheared rock mass. This affects the strength of the rocks and thus largely influences the stability characteristic of slopes which have been aggravated by human intervention. The ongoing developmental activities, particularly in the last two decades, are responsible for large-scale destabilization of slopes. In rugged terrain, safer designs along hill-cut roads must be ensured. Despite extensive geotechnical works for slope stabilization done in the Himalayan range, slope sections evolve due to various natural and man-made factors are need to be understood in greater details. Proper evaluation and treatment were done on the cut slopes that are severely affected during Kedarnath disaster of June 2013. One of such roads is national highway from Rudraprayag to Gaurikund near Kedarnath. In this study, the stability of vulnerable road cut slopes from Rudraprayag to Agastmuni was investigated. Three key road cut slopes were considered. Finite element analysis was conducted using PLAXIS simulator. Factors of safety, stress, strain, horizontal and vertical displacement have been determined for each slope. The most unstable slope had a factor of safety (FoS) equal to 0.935, while the most stable slope had FoS equal to 2.56. Outcomes from simulation are in good agreement with the prevailing field conditions. Slope stability evaluation must be performed to ensure better safety and to achieve disaster mitigated design.     

岩质边坡复合型破坏机制的改进运动单元法研究

目前运动单元法的研究主要集中于土质边坡,未涉及到岩质边坡稳定性分析问题;而岩体中孕育有不同特性的结构面,控制着岩质边坡的力学行为。为求解结构面控制作用下岩质边坡“结构面滑移-岩桥剪断”复合型破坏问题,研究了塑性滑移区节点在岩桥内和结构面上的运动约束条件,推导了含结构面的运动单元计算公式,提出了改进运动单元法。通过经典算例的对比分析,验证了改进运动单元法计算结果的准确性。研究结果表明:岩桥位置、结构面贯通度和结构面倾角是控制岩质边坡力学行为的3个主要影响因素。岩桥越接近坡顶,改进运动单元法所得安全系数越大,而Jennings法无法反映岩桥位置的影响效应。高贯通度的结构面导致岩质边坡发生“结构面滑移-岩桥剪断”复合型破坏模式,安全系数较小;而低贯通度的结构面导致完整岩石发生破坏,安全系数较大。水平或陡倾角结构面导致滑裂面穿切结构面,安全系数较大;而对于其它倾角情况下的结构面,岩质边坡发生“结构面滑移-岩桥剪断”复合型破坏模式,安全系数较小。实例应用结果说明该方法可以有效评价岩质边坡的稳定状态,可在类似工程中应用推广。     

岩石边坡稳定的块体单元极限分析上限法

将块体单元法与极限分析上限法相结合,提出了岩石边坡稳定的块体单元极限分析上限法。借助于块体单元法离散计算区域,通过块体系统速度场在结构面上满足Mohr-Coulomb屈服条件、关联流动法则、速度边界条件以及块体系统虚功原理,构成求解边坡强度储备安全系数上限解的非线性规划模型,模型的求解采用复合形法。最后研究了一个岩质楔形体边坡算例和小湾水电站进水口边坡实例,通过将块体单元法上限分析计算结果与刚体极限平衡法相比较,验证了该方法的正确性。