Abstract:To overcome the drawbacks of previous displacement prediction models for step-like landslides such as the hysteresis and the unclear reliability of the prediction results of mutational displacements,a new hybrid prediction method of landslide displacement intervals is proposed. Firstly,the deformation of step-like landslides is divided into steady and mutational states by the combination of SOM network and K-means clustering. Secondly,on the basis of expanding the mutational state samples through the comprehensive application of the engineering geology analogy method and the adaptive synthetic sampling algorithm,an ensemble classifier for recognizing the landslide deformation states automatically is established adopting the random forest algorithm. Finally,an interval prediction framework considering the dynamic switching of landslide deformation states is constructed based on the Bootstrap-KELM-BPNN model. Taking Baishuihe landslide,a typical step-like landslide in the Three Gorges reservoir area,as an example,the dataset of XD01 monitoring point from June,2006 to December,2016 is explored to verify the effectiveness,accuracy and reliability of the proposed method.
[1] 殷坤龙. 滑坡灾害预测预报[M]. 武汉:中国地质大学出版社,2004:1–3.(YIN Kunlong. Landslide hazard prediction and evaluation[M]. Wuhan:China University of Geosciences Press,2004:1–3.(in Chinese))
[2] YIN Y,WANG H,GAO Y,et al. Real-time monitoring and early warning of landslides at relocated Wushan Town,the Three Gorges Reservoir,China[J]. Landslides,2010,7(3):339–349.
[3] 许 强,汤明高,徐开祥,等. 滑坡时空演化规律及预警预报研究[J]. 岩石力学与工程学报,2008,27(6):1 104–1 112.(XU Qiang,TANG Minggao,XU Kaixiang,et al. Research on space-time evolution laws and early warning-prediction of landslides[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(6):1 104– 1 112.(in Chinese))
[4] 李骅锦,许 强,何雨森,等. “阶跃式”滑坡位移预测及阈值分析的ARMA-(LASSO-ELM)-Copula模型[J]. 岩石力学与工程学报,2017,36(增2):4 075–4 084.(LI Huajin,XU Qiang,HE Yusen,et al. An ARMA-(LASSO-ELM)-Copula framework for landslide displacement prediction and threshold computing of the displacement of step-like landslides[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(Supp.2):4 075–4 084.(in Chinese))
[5] 卢书强,张国栋,易庆林,等. 三峡库区白家包阶跃型滑坡动态变形特征与机制[J]. 南水北调与水利科技,2016,14(3):144–149.(LU Shuqiang,ZHANG Guodong,YI Qinglin,et al. Characteristics and mechanism of dynamic deformation of Baijiabao Landslide with stepwise in Three Gorges Reservoir Area[J]. South to North Water Transfers and Water Science and Technology,2016,14(3):144–149.(in Chinese))
[6] INTRIERI E,CARLÀ T,GIGLI G. Forecasting the time of failure of landslides at slope-scale:A literature review[J]. Earth-Science Reviews,2019,193:333–349.
[7] 郭子正,殷坤龙,黄发明,等. 基于地表监测数据和非线性时间序列组合模型的滑坡位移预测[J]. 岩石力学与工程学报,2018,37(增1):3 392–3 399.(GUO Zizheng,YIN Kunlong,HUANG Faming,et al. Landslide displacement prediction based on surface monitoring data and nonlinear time series combination model[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.1):3 392–3 399. (in Chinese))
[8] 段功豪,牛瑞卿,彭 令,等. 诱发因素影响下的滑坡参数优化预测模型研究[J]. 武汉大学学报:信息科学版,2017,42(4):531–536.(DUAN Gonghao,NIU Ruiqing,PENG Ling,et al. A landslide displacement prediction research based on optimization parameter ARIMA model under the inducing factors[J]. Geomatics and Information Science of Wuhan University,2017,42(4):531–536.(in Chinese))
[9] 孟 蒙,陈智强,黄 达,等. 基于H-P滤波法、ARIMA和VAR模型的库区滑坡位移综合预测[J]. 岩土力学,2017,38(增2):552–560.(MENG Meng,CHEN Zhiqiang,HUANG Da,et al. Displacement prediction of landslide in Three Gorges Reservoir area based on H-P filter,ARIMA and VAR models[J]. Rock and Soil Mechanics,2017,38(Supp.2):552–560.(in Chinese))
[10] 杜 娟,殷坤龙,柴 波. 基于诱发因素响应分析的滑坡位移预测模型研究[J]. 岩石力学与工程学报,2009,28(9):1 783–1 789.(DU Juan,YIN Kunlong,CHAI Bo. Study of displacement prediction model of landslide based on response analysis of inducing factors[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(9):1 783–1 789.(in Chinese))
[11] ZHOU C,YIN K,CAO Y,et al. Application of time series analysis and PSO-SVM model in predicting the Bazimen Landslide in the Three Gorges Reservoir,China[J]. Engineering Geology,2016,204:108–120.
[12] 杨背背,殷坤龙,杜 娟. 基于时间序列与长短时记忆网络的滑坡位移动态预测模型[J]. 岩石力学与工程学报,2018,37(10):2 334–2 343.(YANG Beibei,YIN Kunlong,DU Juan. A model for predicting landslide displacement based on time series and long and short term memory neural network[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(10):2 334–2 343.(in Chinese))
[13] ZHOU C,YIN K,CAO Y,et al. Displacement prediction of step-like landslide by applying a novel kernel extreme learning machine method[J]. Landslides,2018,15(11):2 211–2 225.
[14] 李麟玮,吴益平,苗发盛,等. 基于变分模态分解与GWO-MIC-SVR模型的滑坡位移预测研究[J]. 岩石力学与工程学报,2018,37(6):1 395–1 406.(LI Linwei,WU Yiping,MIAO Fasheng,et al. Displacement prediction of landslides based on variational mode decomposition and GWO-MIC-SVR model[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(6):1 395–1 406.(in Chinese))
[15] 李麟玮,吴益平,苗发盛,等. 基于不同Bootstrap方法和KELM-BPNN模型的滑坡位移区间预测[J]. 岩石力学与工程学报,2019,38(5):912–926.(LI Linwei,WU Yiping,MIAO Fasheng,et al. Landslide displacement interval prediction based on different Bootstrap methods and KELM-BPNN model[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(5):912–926.(in Chinese))
[16] LIAN C,ZENG Z,YAO W,et al. Landslide displacement prediction with uncertainty based on neural networks with random hidden weights[J]. IEEE Transactions on Neural Networks and Learning Systems,2016,27(12):2 683–2 695.
[17] MA J,TANG H,LIU X,et al. Probabilistic forecasting of landslide displacement accounting for epistemic uncertainty:a case study in the Three Gorges Reservoir Area,China[J]. Landslides,2018,15(6):1 145–1 153.
[18] LIAN C,CHEN C L P,ZENG Z,et al. Prediction intervals for landslide displacement based on switched neural networks[J]. IEEE Transactions on Reliability,2016,65(3):1 483–1 495.
[19] LIAN C,ZHU L,ZENG Z,et al. Constructing prediction intervals for landslide displacement using bootstrapping random vector functional link networks selective ensemble with neural networks switched[J]. Neurocomputing,2018,291:1–10.
[20] 刘 勇,秦志萌,刘 曼,等. 基于状态划分的滑坡位移预测方法研究[J]. 地质科技情报,2018,37(1):184–189.(LIU Yong,QIN Zhimeng,LIU Man,et al. Landslide displacement prediction method based on state division[J]. Geological Science and Technology Information,2018,37(1):184–189.(in Chinese))
[21] 黄 韬,刘胜辉,谭艳娜. 基于K-means聚类算法的研究[J]. 计算机技术与发展,2011,21(7):54–57.(HUANG Tao,LIU Shenghui,TAN Yanna. Research of clustering algorithm based on K-means[J]. Computer Technology and Development,2011,21(7):54–57.(in Chinese))
[22] 杨占华,杨 燕. SOM神经网络算法的研究与进展[J]. 计算机工程,2006,16(8):201–202.(YANG Zhanhua,YANG Yan. Research and development of self-organizing maps algorithm[J]. Computer Engineering,2006,16(8):201–202.(in Chinese))
[23] 李 亭,田 原,邬 伦,等. 基于随机森林方法的滑坡灾害危险性区划[J]. 地理与地理信息科学,2014,30(6):25–30.(LI Ting,TIAN Yuan,WU Lun,et al. Regional landslide risk assessment using multi-source remote sensing data[J]. Geography and Geo-information Science,2014,30(6):25–30.(in Chinese))
[24] HE H,GARCIA E A. Learning from imbalanced data[J]. IEEE Transactions on Knowledge and Data Engineering,2009,21(9): 1 263–1 284.
[25] 易庆林,张明玉,文 凯,等. 三峡库区白水河滑坡变形特征及影响因素的阶段分析[J]. 三峡大学学报:自然科学版,2017,39(1):38–42.(YI Qinglin,ZHANG Mingyu,WEN Kai,et al. Periodic analysis of deformation characteristics and influential factors of Baishuihe Landslide in Three Gorges Reservoir Area[J]. Journal of China Three Gorges University:Natural Science,2017,39(1):38–42.(in Chinese))
[26] 卢书强,易庆林,易 武,等. 库水下降作用下滑坡动态变形机制分析——以三峡库区白水河滑坡为例[J]. 工程地质学报,2014,22(5):869–875.(LU Shuqiang,YI Qinglin,YI Wu,et al. Study on dynamic deformation mechanism of landslide in drawdown of reservoir water level——take Baishuihe Landslide in Three Gorges Reservoir Area for example[J]. Journal of Engineering Geology,2014,22(5):869–875.(in Chinese))
[27] 尚 敏,徐 鑫,DAVE Chan,等. 基于降雨渗流场变化的三峡库区白水河滑坡变形机制与预测[J]. 中国地质灾害与防治学报,2016,27(2):26–32.(SHANG Min,XU Xin,DAVE Chan,et al. Deformation mechanism and prediction of Baishuihe Landslide based on the analysis of rainfall seepage field in China Three Gorges Reservoir Area[J]. Chinese Journal of Geological Hazard and Control,2016,27(2):26–32.(in Chinese))
[28] 李麟玮,吴益平,苗发盛. 基于灰狼支持向量机的非等时距滑坡位移预测[J]. 浙江大学学报:工学版,2018,52(10):1 998–2 006.(LI Linwei,WU Yiping,MIAO Fasheng. Prediction of non-equidistant landslide displacement time series based on grey wolf support vector machine[J]. Journal of Zhejiang University:Engineering Science,2018,52(10):1 998–2 006.(in Chinese))
[29] 吴益平,张秋霞,唐辉明,等. 基于有效降雨强度的滑坡灾害危险性预警[J]. 地球科学,2014,39(7):889–895.(WU Yiping,ZHANG Qiuxia,TANG Huiming,et al. Landslide hazard warning based on effective rainfall intensity[J]. Earth Science,2014,39(7):889–895.(in Chinese))