Displacement prediction of step-like landslide by applying a novel kernel extreme learning machine method

Landslide displacement prediction is an essential component for developing landslide early warning systems. In the Three Gorges Reservoir area (TGRA), landslides experience step-like deformations (i.e., periods of stability interrupted by abrupt accelerations) generally from April to September due to the influence of precipitation and reservoir scheduled level variations. With respect to many traditional machine learning techniques, two issues exist relative to displacement prediction, namely the random fluctuation of prediction results and inaccurate prediction when step-like deformations take place. In this study, a novel and original prediction method was proposed by combining the wavelet transform (WT) and particle swarm optimization-kernel extreme learning machine (PSO-KELM) methods, and by considering the landslide causal factors. A typical landslide with a step-like behavior, the Baishuihe landslide in TGRA, was taken as a case study. The cumulated total displacement was decomposed into trend displacement, periodic displacement (controlled by internal geological conditions and external triggering factors respectively), and noise. The displacement items were predicted separately by multi-factor PSO-KELM considering various causal factors, and the total displacement was obtained by summing them up. An accurate prediction was achieved by the proposed method, including the step-like deformation period. The performance of the proposed method was compared with that of the multi-factor extreme learning machine (ELM), support vector regression (SVR), backward propagation neural network (BPNN), and single-factor PSO-KELM. Results show that the PSO-KELM outperforms the other models, and the prediction accuracy can be improved by considering causal factors.     

Displacement prediction in colluvial landslides, Three Gorges Reservoir, China

The prediction of active landslide displacement is a critical component of an early warning system and helps prevent property damage and loss of human lives. For the colluvial landslides in the Three Gorges Reservoir, the monitored displacement, precipitation, and reservoir level indicated that the characteristics of the deformations were closely related to the seasonal fluctuation of rainfall and reservoir level and that the displacement curve versus time showed a stepwise pattern. Besides the geological conditions, landslide displacement also depended on the variation in the influencing factors. Two typical colluvial landslides, the Baishuihe landslide and the Bazimen landslide, were selected for case studies. To analyze the different response components of the total displacement, the accumulated displacement was divided into a trend and a periodic component using a time series model. For the prediction of the periodic displacement, a back-propagation neural network model was adopted with selected factors including (1) the accumulated precipitation during the last 1-month period, (2) the accumulated precipitation over a 2-month period, (3) change of reservoir level during the last 1 month, (4) the average elevation of the reservoir level in the current month, and (5) the accumulated displacement increment during 1 year. The prediction of the displacement showed a periodic response in the displacement as a function of the variation of the influencing factors. The prediction model provided a good representation of the measured slide displacement behavior at the Baishuihe and the Bazimen sites, which can be adopted for displacement prediction and early warning of colluvial landslides in the Three Gorges Reservoir.     

基于数值模拟的三峡库区典型堆积层滑坡变形预测方法

目前对堆积层滑坡的变形预测大多基于数学模型或方法,忽略了引起滑坡位移显著变化的动力外因及滑坡自身的地质特征,因此,预报准确度和可信度较低。以三峡库区典型堆积层滑坡--鹤峰场镇滑坡为例,通过4组主要控制因素科学组合构建了滑坡的基本地质模型;以此为基础,重点考虑引起滑坡发生变形的库水作用动力因素,建立滑坡的数值-力学模型。通过实际监测点的变形监测结果与数值-力学模型中模型监测点的变形进行拟合分析,获取了实际时间与数值-力学模型中时步的等效关系;基于时间-时步等效关系及三峡水库设计水位调度曲线,得到了不同时步水位的波动特征;通过时步的外延,并在相应的时步段对数值-力学模型施加等效时间的库水作用,预测了滑坡在未来库水位变动条件下的变形。该预测方法既考虑了滑坡的工程地质模型又考虑了地下水作用效应,克服了纯数学方法预测的不足。     

Probabilistic forecasting of landslide displacement accounting for epistemic uncertainty: a case study in the Three Gorges Reservoir area,China

Accurate and reliable displacement forecasting plays a key role in landslide early warning. However, due to the epistemic uncertainties associated with landslide systems, errors are unavoidable and sometimes significant in traditional methods of deterministic point forecasting. Transforming traditional point forecasting into probabilistic forecasting is essential for quantifying the associated uncertainties and improving the reliability of landslide displacement forecasting. This paper proposes a hybrid approach based on bootstrap, extreme learning machine (ELM), and artificial neural network (ANN) methods to quantify the associated uncertainties via probabilistic forecasting. The hybrid approach consists of two steps. First, a bootstrap-based ELM is applied to estimate the true regression mean of landslide displacement and the corresponding variance of model uncertainties. Second, an ANN is used to estimate the variance of noise. Reliable prediction intervals (PIs) can be computed by combining the true regression mean, variance of model uncertainty, and variance of noise. The performance of the proposed hybrid approach was validated using monitoring data from the Shuping landslide, Three Gorges Reservoir area, China. The obtained results suggest that the Bootstrap-ELM-ANN approach can be used to perform probabilistic forecasting in the medium term and long term and to quantify the uncertainties associated with landslide displacement forecasting for colluvial landslides with step-like deformation in the Three Gorges Reservoir area.     

库水变动下堆积层滑坡加卸载响应规律与稳定性预测

三峡库区堆积层滑坡稳定性受库水位变动影响十分明显,库水变动下堆积层滑坡的演化过程与稳定性预测研究对防灾减灾具有重要的指导意义。基于库水变动与滑坡变形的响应关系,建立库水动力加卸载与位移速率响应耦合的加卸载响应比预测模型;建立库水变动与滑坡稳定系数的响应关系,进而确定库水变动下滑坡体的渗流场类型,并以滑坡稳定系数的变化率的正负来判断库水变动的加卸载作用。以黄莲树滑坡为例,预测其稳定性,并对预测结果进行验证。结果表明:黄莲树滑坡水平方向位移变化与库水变动存在响应关系,且响应具有明显的滞后性;库水变动下该滑坡的渗流场属于动水压力型,每个水文年中库水动力对滑坡有6个月为加载过程,1个月为卸载过程;滑坡监测点的加卸载响应比在2011年出现整体上升并大于1,揭示滑坡趋于失稳,对库水变动加卸载作用的响应加强。结论得到了宏观变形破坏迹象的验证,说明改进的加卸载响应比预测模型具有良好的预测效果。     

三峡库区香溪河段典型滑坡变形特征分析

本文从坡形采集入手,对三峡库区香溪河段蓄水后发生变形的滑坡进行归纳统计。统计表明,近水库岸坡为凸形的滑坡更容易发生变形。对香溪河段典型滑坡进行了长期地表位移监测,获得八字门滑坡和白家包滑坡的变形曲线为台阶状,耿家坪滑坡的变形曲线为脉动形。近库水微地貌为凸岸,滑体物质为老滑坡堆积物的滑坡变形曲线为台阶状,变形具积累性;近库水微地貌为凹岸,滑体物质为崩塌堆积物的滑坡变形曲线为脉动形,变形具“弹性”。     

Prediction of landslide displacement with step-like behavior based on multialgorithm optimization and a support vector regression model

Landslide prediction is important for mitigating geohazards but is very challenging. In landslide evolution, displacement depends on the local geological conditions and variations in the controlling factors. Such factors have led to the “step-like” deformation of landslides in the Three Gorges Reservoir area of China. Based on displacement monitoring data and the deformation characteristics of the Baishuihe Landslide, an additive time series model was established for landslide displacement prediction. In the model, cumulative displacement was divided into three parts: trend, periodic, and random terms. These terms reflect internal factors (geological environmental, gravity, etc.), external factors (rainfall, reservoir water level, etc.), and random factors (uncertainties). After statistically analyzing the displacement data, a cubic polynomial model was proposed to predict the trend term of displacement. Then, multiple algorithms were used to determine the optimal support vector regression (SVR) model and train and predict the periodic term. The results showed that the landslide displacement values predicted based on data time series and the genetic algorithm (GA-SVR) model are better than those based on grid search (GS-SVR) and particle swarm optimization (PSO-SVR) models. Finally, the random term was accurately predicted by GA-SVR. Therefore, the coupled model based on temporal data series and GA-SVR can be used to predict landslide displacement. Additionally, the GA-SVR model has broad application potential in the prediction of landslide displacement with “step-like” behavior.     

基于时间序列分解和多变量混沌模型的滑坡阶跃式位移预测

三峡库区某些库岸滑坡在强降雨、库水位涨落等诱发因素影响下,其位移时间序列表现出阶跃式变化特征且可能存在混沌特性.但目前常用于滑坡位移预测的混沌模型,均建立在单变量混沌理论的基础之上.且已有的考虑了诱发因素的常规多变量模型,大都采用经验性的方法来选取输入变量;常规多变量模型对滑坡位移序列的非线性特征,及其与诱发因素间的动态响应关系缺乏数学理论上的深入分析.因此,提出一种基于指数平滑法、多变量混沌模型和极限学习机（extreme learing machine,ELM）的滑坡位移组合预测模型.指数平滑多变量混沌ELM模型首先对滑坡累积位移序列的混沌特性进行识别;然后用指数平滑法对累积位移进行预测,得到趋势项位移,并用累积位移减去趋势项位移得到剩余的波动项位移;之后对波动项位移及降雨量、库水位变化量这3个因子进行多变量相空间重构,并用ELM模型对多变量重构后的波动项位移进行预测;最后将预测得到的趋势项和波动项位移值相加,得到最终的累积位移预测值.以三峡库区白水河滑坡ZG93监测点的累积位移作为实例进行分析,并将模型与指数平滑多变量混沌粒子群-支持向量机（PSO-SVM）模型、指数平滑单变量混沌ELM模型作对比.结果表明滑坡位移序列存在混沌特性,模型能有效预测滑坡位移,其预测效果优于对比模型.且本文模型从混沌理论的角度将波动项位移与降雨量、库水位变化量的动态响应关系进行综合分析,更能反映滑坡位移系统演化的物理本质.      

Prediction of landslide displacement with an ensemble-based extreme learning machine and copula models

Research on the dynamics of landslide displacement forms the basis for landslide hazard prevention. This paper proposes a novel data-driven approach to monitor and predict the landslide displacement. In the first part, autoregressive moving average time series models are constructed to analyze the autocorrelation of landslide triggering factors. A linear ensemble-based extreme learning machine using the least absolute shrinkage and selection operator is applied in predicting the displacement of landslides. Five benchmarking data-driven models, the support vector machine, neural network, random forest, k-nearest neighbor, and the classical extreme learning machine, are considered as baseline models for validating the ensemble-based extreme learning machines. Numerical experiments demonstrated that the proposed prediction model produces the smallest prediction errors among all the algorithms tested. In the second part, parametric copula models are fitted on the predicted displacement, to investigate the relationship between the triggering factors and landslide displacement values. The Gumbel-Hougaard copula model performs best, which indicates strong upper tail correlation between the triggering factors and displacement values. Thresholds for the triggering factors can be obtained by monitoring the landslide moving patterns with large displacement values. The effectiveness and utility of the proposed data-driven approach have been confirmed with the landslide case study in the region of the Three Gorges Reservoir.     

三峡库区滑坡台阶状位移趋势预测的警戒速度方法

对不同类型的35个滑坡进行统计分析,发现滑坡临滑前加速度和速度符合Voight模型的幂函数关系。由于无法准确判断三峡库区具台阶状位移特征的滑坡何时处于最后加速失稳阶段,故不能直接应用该模型进行预报。根据台阶状位移特征的滑坡变形特征,本文采用了基于Voight模型的警戒速度方法。该方法是基于Voight模型采用非线性回归分析求得模型参数,按不同风险级别要求求得紧急状态、警戒状态、提前警戒状态的速度阀值,并与实际监测的速度对比去预报滑坡所处的危险等级。采用警戒速度方法对白水河滑坡和新滩滑坡进行了分析,发现预测结果与实际较为接近,预测效果较好。     

三峡库区典型堆积层滑坡变形滞后时间效应研究

堆积层滑坡是三峡水库运行过程中的重要地质灾害,其变形演化往往滞后于库水位的变化,表现出时间滞后效应,给滑坡灾害精准预测和灾害警情准确发布造成极大困扰。采用集对分析法并结合层次分析法,构建了滑坡加权位移向量计算模型,在滑坡加权位移演化与库水位波动相互关系定性分析的基础上,寻找滑坡加权位移与库水位变化速率相关性达到最大时的平移步数,从而计算出滑坡变形滞后于库水位变化的时间。以三峡库区典型堆积层滑坡——树坪滑坡为例,在分析滑坡变形演化规律基础上,分别选取2012年、2013年、2014年汛雨期地表位移与库水位下降速率的监测数据开展滑坡变形滞后时间研究。研究发现:当库水位下降速率小于等于0.43 m·d-1时,树坪滑坡变形滞后时间大于等于5 d;当库水位下降速率在0.43 m·d-1到0.7 m·d-1之间时,树坪滑坡变形滞后时间在2 d到5 d之间;当库水位下降速率大于等于0.7 m·d-1时,树坪滑坡变形滞后时间小于等于2 d;随着库水位下降速率不断增大,树坪滑坡变形滞后时间不断缩短。通过分析滑坡不同空间位置监测点的滞后时间,发现越靠近滑坡体前缘变形滞后时间越短,当库水位下降速率在0.43 m·d-1到0.7 m·d-1之间时,滑坡前缘变形滞后时间在2.4 d到5.4 d之间,滑坡中部的变形滞后时间在3.4 d到5.6 d之间,滑坡前缘和中部的变形滞后时间差在0.2 d到1.4 d之间。研究成果可以为树坪滑坡的监测预警防治工作提供参考,对重大水利工程涉水滑坡监测预警具有一定借鉴意义。     

三峡库岸滑坡变形特征及影响因素分析

三峡库区涉水滑坡主要影响因素是水位和降雨量,也是库区滑坡体失稳的主要影响因素和诱发因素。库区每年重复着水位升降不利于滑坡的稳定,而降雨特别是大强度的降雨也诱发产生滑坡。当水位波动遇到降雨,出现工况叠加,滑坡将加剧。因此,有必要对影响滑坡变形的主导因素进行了解分析。2016年6月三峡库区全面展开了自动化监测,使得数据统计方便可靠。本文采用滑坡变形速率、降雨量、库水位变化、最大水位变化速率、淹没程度,运用灰色关联度分析法对涉水滑坡进行了计算分析。水位下降阶段,文中土质滑坡变形受库水位影响最大。水位上升阶段,该土质滑坡上部变形受降雨影响最大,下部受水位影响最大。文中岩质滑坡总是受库水位影响最大。     

关键影响因子作用下三峡库区堆积层滑坡分布规律及变形破坏响应特征

三峡库区崩滑地质灾害频发,堆积层滑坡是最常见的滑坡类型.在分析三峡库区145处库岸堆积层滑坡资料基础上,选取地形地貌、地质岩性和斜坡构造作为控制因素、降水和库水波动作为主要诱发因素,探究堆积层滑坡在上述关键影响因子下的分布发育规律及变形破坏响应特征,阐明内在机理,结果表明:(1)受区域地质构造和基岩地层岩性显著控制,滑...     

三峡库区白家包滑坡变形特征与影响因素分析

针对三峡库区阶跃型滑坡,以白家包滑坡为例,统计分析滑坡位移、变形速率和裂缝监测数据。显示滑坡在2007年6月之前为蠕动变形初期,受降雨和库水位等外界因素的作用,6月滑坡发生剧烈变形,之后一直保持约75°方向滑动。滑坡体中前部位移速率大于后缘,其变形具有牵引式特点。滑体上裂缝与变形位移具有一致性,位移量越大的区域裂缝越发育。将位移速率与降雨、库水位和地下水进行影响机制分析,建立滑坡变形与外界动态影响因素之间的响应关系。结果表明降雨量和库水位变化是引起滑坡季节性变形的主要因素,其中降雨强度、库水位下降及下降速率是导致滑坡位移速率波动大小的关键因子。     

考虑时滞效应的库区滑坡位移预测——以新铺滑坡为例

库区滑坡失稳每年不同程度影响区内人民生活和生产安全,滑坡位移精准预测对于灾害风险预警及防灾减灾十分重要。常规的位移预测方法未充分考虑降雨、库水位波动等诱发因素对滑坡变形的时滞效应,无法精确识别滞后天数及各因素的影响程度,制约了预测精度的提高。本文以三峡库区新铺滑坡为例,根据2021年度的位移监测与水文气象数据集,利用皮尔逊相关系数法定量描述了山坡尺度上降雨、库水位波动对滑坡变形的时滞效应,结合BP神经网络建立了一种考虑时滞效应的滑坡位移预测模型。分析结果表明：在山坡尺度上,库水位波动对地表变形的时滞效应明显,滞后时间呈现出从近岸向远岸逐渐增加的规律;降雨量对地表变形的时滞效应较弱,在山坡尺度上呈现相关度不高、滞后天数较短的规律;与未考虑时滞因素的模型相比,本研究中的滑坡位移预测模型拟合优度提升了55.77%,均方根误差降低了31.60%,模型预测精度显著提高。研究成果一定程度上揭示了特大型库区滑坡的变形机理,并为同类滑坡的位移精准预测提供了参考依据。     

基于优化经验模态分解和聚类分析的滑坡位移智能预测研究

针对三峡库区"阶跃式"滑坡的变形特征,提出了一种新的滑坡位移预测方法。以白水河滑坡ZG118和XD-01监测点位移数据为例,采用基于软筛分停止准则的经验模态分解(SSSC-EMD)将累计位移-时间曲线和影响因子时间序列自适应地分解为多个固有模态函数(IMF),并采用K均值(K-Means)聚类法对其进行聚类累加,得到有物理含义的位移分量(趋势性位移、周期性位移以及随机性位移)和影响因子分量(高频影响因子和低频影响因子)。使用最小二乘法对趋势性位移进行拟合预测;采用果蝇优化-最小二乘支持向量机(FOA-LSSVM)模型对周期性位移和随机性位移进行预测。将各位移分量预测值进行叠加处理,实现滑坡累计位移的预测。研究结果表明,所提出的(SSSC-EMD)-K-Means-(FOA-LSSVM)模型能够预测"阶跃式"滑坡的位移变化规律,且预测精度高于传统的支持向量机回归(SVR)、最小二乘支持向量机(LSSVM)模型;并通过改变训练集长度,进行单因素分析,发现其与预测精度之间呈正相关关系。     

湖北省香溪河流域白家堡滑坡稳定性分析与评价

三峡大坝建成蓄水后,将导致库岸部分古滑体复活、新滑体产生,香溪河流域白家堡滑坡就是其中之一。文章在对该滑坡的工程地质条件、深部位移及伸缩计监测资料的研究基础上,分析了滑坡变形机理,得出白家堡滑坡只有一个滑动面,其总体变形趋势为推移式,目前仍具有微小的变形。滑坡变形与降雨及库水有密切联系。结合试验资料,针对滑坡变形的实际情况,采用反演分析方法进行了滑移面抗剪强度参数的反演计算。利用反演结果,在三峡水库蓄水4种不同水位工况下进行稳定性计算。结果表明,滑坡的稳定性系数经历了大→小→大的过程。正常蓄水位时稳定性处于较低状态。滑坡体饱水处于蠕滑或失稳状态,需尽快进行治理。     

白家包滑坡变形与库水位、降雨相关性定量化分析研究

白家包滑坡是具有滞后性"阶跃型"变形的滑坡代表,通过定性分析初步认为,库水位下降是白家包滑坡变形的主要影响因素,其影响程度大于降雨.为了进一步明确白家包滑坡变形对库水位波动和降雨的响应程度,本文根据库水位每年波动情况,将其划分为5个阶段,运用皮尔逊相关系数法对白家包滑坡变形与库水位、降雨的相关性进行定量计算,计算结果为...     

基于多算法参数优化与SVR模型的白水河滑坡位移预测

滑坡预测对于减轻地质灾害的危害十分重要,但对科学研究却很有挑战性。基于变形特征和位移监测数据,建立了三峡库区白水河滑坡的时间序列加法模型。在模型中,累计位移分为3个部分:趋势、周期和随机项,解释了由内部因素（地质环境,重力等）、外部因素（降雨,水库水位等）、随机因素（不确定性）共同作用的影响。在对位移数据进行统计分析后,提出了一个3次多项式模型对趋势项进行学习,并利用多算法寻优的支持向量回归机（SVR）模型对周期项进行训练与预测。结果表明,在预测精度上,基于时间序列与遗传算法-支持向量回归机（GA-SVR）耦合的位移预测模型要明显优于网格寻优（GS）以及粒子群算法（PSO）优化的支持向量回归机模型。因此,GA-SVR模型在滑坡位移预测方面可以得到较好的应用。在“阶跃型”滑坡位移预测中,GA-SVR将具有广阔的应用前景。     

三峡库区浮托减重型滑坡对库水升降的响应规律

三峡大坝自2003年蓄水以来,库区形成大量涉水滑坡。长江三峡库区的浮托减重型滑坡随库水位升降,变形非协调性增加,此类滑坡变形与库水位关系的不明确性,为其监测预警预报工作带来困惑。以木鱼包滑坡为研究对象,通过全自动GPS变形监测系统获取的滑坡监测资料,结合多次的野外考察、15年专业监测和库水位升降等资料进行分析,运用有限元软件Geo-studio进行数值模拟,模拟库水位以不同速率在175~145m间升降下对滑坡稳定性的影响。研究表明:(1)库水位由145m升至175m的过程中,滑坡的稳定系数变化为先减后增再减,库水上升速率越大,前期稳定系数减小的时间段越小,随后稳定系数增加的速率也越快;(2)在库水位由175m下降到145m的过程中,整个稳定系数变化趋势为先减小后增大,呈“V”字形,存在一个最危险水面,不同的库水下降速率对应的最危险水面高度也不一样,库水位以0.4,0.6,0.8,1.0,1.6m/d的速率下降时对应的最危险水位分别在169.8,167.8,162.6,162.0,162.2m左右;(3)木鱼包滑坡作为三峡库区典型的浮托减重性滑坡,在库水位大幅度及周期性升降的影响下,一直保持着蠕滑状态,平均日位移量为0.4mm/d,目前处于基本稳定状态。所得结论对三峡库区浮托减重型滑坡预警预报工作有一定的参考与借鉴意义。