重大滑坡隐患分析方法综述

doi:10.11947/j.AGCS.2019.20190452

测绘学报 ›› 2019, Vol. 48 ›› Issue (12): 1551-1561.doi: 10.11947/j.AGCS.2019.20190452

重大滑坡隐患分析方法综述

朱庆¹, 曾浩炜¹, 丁雨淋¹, 谢潇², 刘飞^1,3, 张利国⁴, 李海峰⁵, 胡翰¹, 张骏骁¹, 陈力¹, 陈琳¹, 张鹏程⁶, 何华贵⁶

1. 西南交通大学地球科学与环境工程学院, 四川成都 611756;
2. 武汉大学测绘学院, 湖北武汉 430079;
3. 四川测绘地理信息局测绘技术服务中心, 四川成都 610081;
4. 川藏铁路有限公司, 四川成都 610043;
5. 中南大学地球科学与信息物理学院, 湖南长沙 410083;
6. 广州市城市规划勘测设计研究院, 广东广州 510060

收稿日期:2019-10-31 修回日期:2019-11-12 发布日期:2019-12-24
通讯作者: 曾浩炜 E-mail:zenghaowei23@163.com
作者简介:朱庆(1966-),男,博士,长江学者特聘教授,博士生导师,研究方向为多维动态GIS与虚拟地理环境。E-mail:zhuq66@263.net
基金资助:
国家自然科学基金（41631174）；国家重点研发计划（2018YFB0505404）；智慧广州时空信息云平台建设项目（GZIT2016-A5-147）

A review of major potential landslide hazards analysis

ZHU Qing¹, ZENG Haowei¹, DING Yulin¹, XIE Xiao², LIU Fei^1,3, ZHANG Liguo⁴, LI Haifeng⁵, HU Han¹, ZHANG Junxiao¹, CHEN Li¹, CHEN Lin¹, ZHANG Pengcheng⁶, HE Huagui⁶

1. Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, China;
2. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
3. Surveying and Mapping Technology Service Center, Sichuan Surveying and Mapping Geographic Information, Chengdu 610081, China;
4. Sichuan-Tibet Railway Co. Ltd., Chengdu 610043, China;
5. School of Geosciences and Info-Physics, Central South University, Changsha 410083, China;
6. Guangzhou Urban Planning & Design Survey Research Institute, Guangzhou 510060, China

Received:2019-10-31 Revised:2019-11-12 Published:2019-12-24
Supported by:
The National Natural Science Foundation of China (No. 41631174);The National Key Research and Development Program of China(No. 2018YFB0505404);The Smart Guangzhou Spatiotemporal Information Cloud Platform Construction Project(No. GZIT2016-A5-147)

摘要/Abstract

摘要： 滑坡是发生频繁且破坏力巨大的典型地质灾害类型，高位山体崩滑和冰雪崩滑等重大滑坡隐患已经成为新型城镇化和川藏铁路工程等重大基础设施建设重要的制约因素。本文系统归纳总结了现有滑坡隐患监测技术和分析方法的特点与局限，提出了一种数据驱动与模型驱动协同的滑坡隐患可靠分析方法，构建滑坡隐患分析知识图谱、提取高层语义特征指标、知识引导精准判别滑坡隐患。该方法系统考虑了深部-地表内外动力耦合作用的致灾机制，为小样本、高复杂度的滑坡隐患可靠分析提供了新途径。

关键词: 滑坡隐患, 孕灾环境, 监测技术, 分析方法, 知识图谱

Abstract: Landslide is a typical and frequent geological disaster, which causes great loss to human beings. Major landslide hazards, such as landslides in high mountains and ice avalanches,have become important constraints to the development of urbanization and major infrastructure projects such as the Sichuan-Tibet railway. This paper systematically analyzes the characteristics and limitations of existing monitoring technology and analysis methods of potential landslide hazards, introduces a reliable method for potential landslide hazards analysis by coupling monitoring data with mechanism models, to establish the knowledge graph for potential landslide hazards analysis, to extract the high-level semantic features and to identify the potential landslide hazards precisely guided by knowledge.This method systematically considers the mechanism of landslide disaster caused by the coupling of deep and surface, and provides a new way for the reliable analysis of potential landslide hazards with small sample and high complexity.

Key words: potential landslide hazards, geographical environment, monitoring technology, analytical method, knowledge graph

中图分类号:

P208

朱庆, 曾浩炜, 丁雨淋, 谢潇, 刘飞, 张利国, 李海峰, 胡翰, 张骏骁, 陈力, 陈琳, 张鹏程, 何华贵. 重大滑坡隐患分析方法综述[J]. 测绘学报, 2019, 48(12): 1551-1561.

ZHU Qing, ZENG Haowei, DING Yulin, XIE Xiao, LIU Fei, ZHANG Liguo, LI Haifeng, HU Han, ZHANG Junxiao, CHEN Li, CHEN Lin, ZHANG Pengcheng, HE Huagui. A review of major potential landslide hazards analysis[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(12): 1551-1561.

参考文献

[1] AKGUN A, KINCAL C, PRADHAN B. Application of remote sensing data and GIS for landslide risk assessment as an environmental threat to Izmir city (west Turkey)[J]. Environmental Monitoring and Assessment, 2012, 184(9):5453-5470.
[2] MANTOVANI F, SOETERS R, VAN WESTEN C J. Remote sensing techniques for landslide studies and hazard zonation in Europe[J]. Geomorphology, 1996, 15(3-4):213-225.
[3] TOFANI V, SEGONI S, AGOSTINI A, et al. Technical note:use of remote sensing for landslide studies in Europe[J]. Natural Hazards and Earth System Sciences, 2013, 13(2):299-309.
[4] PRADHAN B, YOUSSEF A M. Manifestation of remote sensing data and GIS on landslide hazard analysis using spatial-based statistical models[J]. Arabian Journal of Geosciences, 2010, 3(3):319-326.
[5] 廖明生, 唐婧, 王腾, 等. 高分辨率SAR数据在三峡库区滑坡监测中的应用[J]. 中国科学:地球科学, 2012, 42(2):217-229. LIAO Mingsheng, TANG Jing, WANG Teng, et al. Landslide monitoring with high-resolution SAR data in the Three Gorges region[J]. Science China Earth Sciences, 2012, 42(2):217-229.
[6] 王桂杰, 谢谟文, 邱骋, 等. D-INSAR技术在大范围滑坡监测中的应用[J]. 岩土力学, 2010, 31(4):1337-1344. WANG Guijie, XIE Mowen, QIU Cheng, et al. Application of D-INSAR technique to landslide monitoring[J]. Rock and Soil Mechanics, 2010, 31(4):1337-1344.
[7] WANG C T, CHEN Kunshen, LEE H W, et al. Disaster monitoring and environmental alert in Taiwan by repeat-pass spaceborne SAR[C]//Proceedings of 2007 IEEE International Geoscience and Remote Sensing Symposium. Barcelona, Spain:IEEE, 2007:2628-2631.
[8] WASOWSKI J, CHIARADIA M T, BOVENGA F, et al. Exploiting COSMO-Skymed data and multi-temporal interferometry for early detection of landslide hazard:a case of slope failure and train derailment near Marina Di Andora, Italy[C]//Proceedings of AGU Fall Meeting Abstracts. San Francisco, California:AGU, 2014.
[9] 张路, 廖明生, 董杰, 等. 基于时间序列InSAR分析的西部山区滑坡灾害隐患早期识别——以四川丹巴为例[J]. 武汉大学学报(信息科学版), 2018, 43(12):2039-2049. ZHANG Lu, LIAO Mingsheng, DONG Jie, et al. Early detection of landslide hazards in mountainous areas of west China using time series SAR interferometry-a case study of Danba, Sichuan[J]. Geomatics and Information Science of Wuhan University, 2018, 43(12):2039-2049.
[10] SUN Q, ZHANG L, DING X L, et al. Slope deformation prior to Zhouqu, China landslide from InSAR time series analysis[J]. Remote Sensing of Environment, 2015(156):45-57.
[11] CIAMPALINI A, RASPINI F, FRODELLA W, et al. The effectiveness of high-resolution LiDAR data combined with PSInSAR data in landslide study[J]. Landslides, 2016, 13(2):399-410.
[12] CASAGLI N, FRODELLA W, MORELLI S, et al. Spaceborne, UAV and ground-based remote sensing techniques for landslide mapping, monitoring and early warning[J]. Geoenvironmental Disasters, 2017, 4(1):9.
[13] 刘圣伟, 郭大海, 陈伟涛, 等. 机载激光雷达技术在长江三峡工程库区滑坡灾害调查和监测中的应用研究[J]. 中国地质, 2012, 39(2):507-517. LIU Shengwei, GUO Dahai, CHEN Weitao, et al. The application of airborne LiDAR technology in landslide investigation and monitoring of Three Gorges Reservoir Area[J]. Geology in China, 2012, 39(2):507-517.
[14] 白正伟, 张勤, 黄观文, 等. "轻终端+行业云"的实时北斗滑坡监测技术[J]. 测绘学报,2019,48(11):1424-1429. DOI:10.11947/j.AGCS.2019.20190167. BAI Zhengwei, ZHANG Qin, HUANG Guanwen, et al. Real-time BeiDou landslide monitoring technology of "light terminal plus industry cloud"[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(11):1424-1429. DOI:10.11947/j.AGCS.2019.20190167.
[15] 卫建东. 现代变形监测技术的发展现状与展望[J]. 测绘科学, 2007, 32(6):10-13. WEI Jiandong. The status quo and prospect of modern deformation monitoring technologies[J]. Science of Surveying and Mapping, 2007, 32(6):10-13.
[16] 孙光林, 陶志刚, 宫伟力. 边坡灾害监测预警物联网系统及工程应用[J]. 中国矿业大学学报, 2017, 46(2):285-291. SUN Guanglin, TAO Zhigang, GONG Weili. Slope disaster monitoring and early warning network system and its engineering application[J]. Journal of China University of Mining & Technology, 2017, 46(2):285-291.
[17] LINGUA A, PIATTI D, RINAUDO F. Remote monitoring of a landslide using an integration of GB-INSAR and LIDAR techniques[J]. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2008(37):361-366.
[18] 舒飞, 蒋小勇, 韩天培. 三维激光扫描技术在地质灾害体测绘生产中的应用[J]. 中国地质灾害与防治学报, 2015, 26(1):77-81. SHU Fei, JIANG Xiaoyong, HAN Tianpei. Application of 3D laser scanner to surveying and mapping production of the geo-hazard sites[J]. The Chinese Journal of Geological Hazard and Control, 2015, 26(1):77-81.
[19] NOFERINI L, PIERACCINI M, MECATTI D, et al. Using GB-SAR technique to monitor slow moving landslide[J]. Engineering Geology, 2007, 95(3-4):88-98.
[20] 周吕, 郭际明, 胡纪元, 等. 基于二维形变场的地基SAR精度验证与分析[J]. 武汉大学学报(信息科学版), 2019, 44(2):289-295. ZHOU LÜ, GUO Jiming, HU Jiyuan, et al. Accuracy verification and analysis of ground-based synthetic aperture radar based on two-dimensional deformation field[J]. Geomatics and Information Science of Wuhan University, 2019, 44(2):289-295.
[21] ALAMDAR F, KALANTARI M, RAJABIFARD A. An evaluation of integrating multisourced sensors for disaster management[J]. International Journal of Digital Earth, 2015, 8(9):727-749.
[22] MIAO Shuangxi, ZHU Qing, ZHANG Bo, et al. Knowledge-guided consistent correlation analysis of multimode landslide monitoring data[J]. International Journal of Geographical Information Science, 2017, 31(11):2255-2271.
[23] KROMER R A, HUTCHINSON D J, LATO M J, et al. Identifying rock slope failure precursors using LiDAR for transportation corridor hazard management[J]. Engineering Geology, 2015(195):93-103.
[24] 唐亚明, 张茂省, 薛强, 等. 滑坡监测预警国内外研究现状及评述[J]. 地质论评, 2012, 58(3):533-541. TANG Yaming, ZHANG Maosheng, XUE Qiang, et al. Landslide monitoring and early-warning:an overview[J]. Geological Review, 2012, 58(3):533-541.
[25] 孔繁良, 陈超, 孙冠军. 高密度电法在清江水布垭库区滑坡调查中的应用[J]. 工程地球物理学报, 2008, 5(2):201-204. KONG Fanliang, CHEN Chao, SUN Guanjun. Application of multi-electrodes electrical method to landslide investigation in Qingjiang Shuibuya reservoir[J]. Chinese Journal of Engineering Geophysics, 2008, 5(2):201-204.
[26] CASAGLI N, FRODELLA W, MORELLI S, et al. Spaceborne, UAV and ground-based remote sensing techniques for landslide mapping, monitoring and early warning[J]. Geoenvironmental Disasters, 2017, 4(1):9.
[27] 郑师谊, 张绪教, 杨艳, 等. 层次分析法在滇西怒江河谷潞江盆地段崩塌与滑坡地质灾害危险性评价中的应用[J]. 地质通报, 2012, 31(2):356-365. ZHENG Shiyi, ZHANG Xujiao, YANG Yan, et al. The application of analytic hierarchy process to the danger evaluation of collapse and slide in Lujiang basin segment of Nujiang valley, western Yunnan Province[J]. Geological Bulletin of China, 2012, 31(2):356-365.
[28] 樊晓一, 乔建平, 陈永波. 层次分析法在典型滑坡危险度评价中的应用[J]. 自然灾害学报, 2004, 13(1):72-76. FAN Xiaoyi, QIAO Jianping, CHEN Yongbo. Application of analytic hierarchy process in assessment of typical landslide danger degree[J]. Journal of Natural Disasters, 2004, 13(1):72-76.
[29] REIS S, YALCIN A, ATASOY M, et al. Remote sensing and GIS-based landslide susceptibility mapping using frequency ratio and analytical hierarchy methods in Rize province (NE Turkey)[J]. Environmental Earth Sciences, 2012, 66(7):2063-2073.
[30] KIRSCHBAUM D, STANLEY T, YATHEENDRADAS S. Modeling landslide susceptibility over large regions with fuzzy overlay[J]. Landslides, 2016, 13(3):485-496.
[31] 刘莉, 余宏明, 程江涛. 层次分析-模糊综合评价法在滑坡工程中的应用[J]. 三峡大学学报(自然科学版), 2008, 30(2):43-47. LIU Li, YU Hongming, CHENG Jiangtao. Application of analytic hierarchy process-fuzzy comprehensive evaluation method to landslide engineering[J]. Journal of China Three Gorges University (Natural Sciences), 2008, 30(2):43-47.
[32] 陈晓利, 祁生文, 叶洪. 基于GIS的地震滑坡危险性的模糊综合评价研究[J]. 北京大学学报(自然科学版), 2008, 44(3):434-438. CHEN Xiaoli, QI Shengwen, YE Hong. Fuzzy comprehensive study on seismic landslide hazard based on GIS[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2008, 44(3):434-438.
[33] 许冲, 戴福初, 姚鑫, 等. GIS支持下基于层次分析法的汶川地震区滑坡易发性评价[J]. 岩石力学与工程学报, 2009, 28(S2):3978-3985. XU Chong, DAI Fuchu, YAO Xin, et al. GIS-based landslide susceptibility assessment using analytical hierarchy process in Wenchuan earthquake region[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(S2):3978-3985.
[34] 陈祖煜, 弥宏亮, 汪小刚. 边坡稳定三维分析的极限平衡方法[J]. 岩土工程学报, 2001, 23(5):525-529. CHEN Zuyu, MI Hongliang, WANG Xiaogang. A three-dimensional limit equilibrium method for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(5):525-529.
[35] XIAO Ruya, HE Xiufeng. Real-time landslide monitoring of Pubugou hydropower resettlement zone using continuous GPS[J]. Natural Hazards, 2013, 69(3):1647-1660.
[36] MOHAMMADI S, TAIEBAT H. Finite element simulation of an excavation-triggered landslide using large deformation theory[J]. Engineering Geology, 2016, 205:62-72.
[37] MONTGOMERY D R, DIETRICH W E. A physically based model for the topographic control on shallow landsliding[J]. Water Resources Research, 1994, 30(4):1153-1171.
[38] 康超, 谌文武, 张帆宇, 等. 确定性模型在黄土沟壑区斜坡稳定性预测中的应用[J]. 岩土力学, 2011, 32(1):207-210, 260. KANG Chao, CHEN Wenwu, ZHANG Fanyu, et al. Application of deterministic model to analyzing stability of hillslope of loess gully area[J]. Rock and Soil Mechanics, 2011, 32(1):207-210, 260.
[39] MONTGOMERY D R, SULLIVAN K, GREENBERG H M. Regional test of a model for shallow landsliding[J]. Hydrological Processes, 1998, 12(6):943-955.
[40] TERHORST B, KREJA R. Slope stability modelling with SINMAP in a settlement area of the Swabian Alb[J]. Landslides, 2009, 6(4):309-319.
[41] BAUM R L, SAVAGE W Z, GODT J W. TRIGRS-a Fortran program for transient rainfall infiltration and grid-based regional slope-stability analysis, Version 2.0[R].[S.l.]:U.S. Geological Survey, 2002:38.
[42] 刘明维, 郑颖人. 基于有限元强度折减法确定滑坡多滑动面方法[J]. 岩石力学与工程学报, 2006, 25(8):1544-1549. LIU Mingwei, ZHENG Yingren. Determination methods of multi-slip surfaces landslide based on strength reduction fem[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(8):1544-1549.
[43] 陈国庆, 黄润秋, 石豫川, 等. 基于动态和整体强度折减法的边坡稳定性分析[J]. 岩石力学与工程学报, 2014, 33(2):243-256. CHEN Guoqing, HUANG Runqiu, SHI Yuchuan, et al. Stability analysis of slope based on dynamic and whole strength reduction methods[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(2):243-256.
[44] AKBAR T A, HA S R. Landslide hazard zoning along Himalayan Kaghan Valley of Pakistan-by integration of GPS, GIS, and remote sensing technology[J]. Landslides, 2011, 8(4):527-540.
[45] JIBSON R W. Regression models for estimating coseismic landslide displacement[J]. Engineering Geology, 2007, 91(2-4):209-218.
[46] 王秀丽, 李恒凯. 滑坡变形的回归-神经网络预测模型研究[J]. 人民黄河, 2012, 34(7):90-92. WANG Xiuli, LI Hengkai. Research on prediction model of regression-neural network for landslide deformation[J]. Yellow River, 2012, 34(7):90-92.
[47] LI Deying, YIN Kunlong, LEO C. Analysis of Baishuihe landslide influenced by the effects of reservoir water and rainfall[J]. Environmental Earth Sciences, 2010, 60(4):677-687.
[48] 曹洪洋, 任晓莹. 基于粗糙集理论的区域降雨型滑坡预测预报[J]. 水文地质工程地质, 2017, 44(2):117-123. CAO Hongyang, REN Xiaoying. Rainfall-induced landslides prediction based on rough sets[J]. Hydrogeology and Engineering Geology, 2017, 44(2):117-123.
[49] YESILNACAR E, TOPAL T. Landslide susceptibility mapping:a comparison of logistic regression and neural networks methods in a medium scale study, Hendek region (Turkey)[J]. Engineering Geology, 2005, 79(3-4):251-266.
[50] ALTHUWAYNEE O F, PRADHAN B, PARK H J, et al. A novel ensemble decision tree-based CHi-squared automatic interaction detection (CHAID) and multivariate logistic regression models in landslide susceptibility mapping[J]. Landslides, 2014, 11(6):1063-1078.
[51] TIEN BUI D, PRADHAN B, LOFMAN O, et al. Landslide susceptibility assessment in vietnam using support vector machines, decision tree, and Naive Bayes Models[J]. Mathematical Problems in Engineering, 2012(2012):974638.
[52] YEON Y K, HAN J G, RYU K H. Landslide susceptibility mapping in Injae, Korea, using a decision tree[J]. Engineering Geology, 2010, 116(3-4):274-283.
[53] CHEN Wei, XIE Xiaoshen, PENG Jianbing, et al. GIS-based landslide susceptibility evaluation using a novel hybrid integration approach of bivariate statistical based random forest method[J]. CATENA, 2018(164):135-149.
[54] CHEN Wei, POURGHASEMI H R, ZHAO Zhou. A GIS-based comparative study of Dempster-Shafer, logistic regression and artificial neural network models for landslide susceptibility mapping[J]. Geocarto International, 2017, 32(4):367-385.
[55] 刘艺梁, 殷坤龙, 刘斌. 逻辑回归和人工神经网络模型在滑坡灾害空间预测中的应用[J]. 水文地质工程地质, 2010, 37(5):92-96. LIU Yiliang, YIN Kunlong, LIU Bin. Application of logistic regression and artificial neural networks in spatial assessment of landslide hazards[J]. Hydrogeology and Engineering Geology, 2010, 37(5):92-96.
[56] TIEN BUI D, TUAN T A, KLEMPE H, et al. Spatial prediction models for shallow landslide hazards:a comparative assessment of the efficacy of support vector machines, artificial neural networks, kernel logistic regression, and logistic model tree[J]. Landslides, 2016, 13(2):361-378.
[57] HONG Haoyuan, PRADHAN B, JEBUR M N, et al. Spatial prediction of landslide hazard at the Luxi area (China) using support vector machines[J]. Environmental Earth Sciences, 2016, 75(1):40.
[58] 许冲, 徐锡伟. 基于不同核函数的2010年玉树地震滑坡空间预测模型研究[J]. 地球物理学报, 2012, 55(9):2994-3005. XU Chong, XU Xiwei. The 2010 Yushu earthquake triggered landslides spatial prediction models based on several kernel function types[J]. Chinese Journal of Geophysics, 2012, 55(9):2994-3005.
[59] POURGHASEMI H R, JIRANDEH A G, PRADHAN B, et al. Landslide susceptibility mapping using support vector machine and GIS at the Golestan Province, Iran[J]. Journal of Earth System Science, 2013, 122(2):349-369.
[60] XIAO Liming, ZHANG Yonghong, PENG Gongzhuang. Landslide susceptibility assessment using integrated deep learning algorithm along the China-Nepal highway[J]. Sensors (Basel), 2018, 18(12):4436.
[61] GHORBANZADEH O, BLASCHKE T, GHOLAMNIA K, et al. Evaluation of different machine learning methods and deep-learning convolutional neural networks for landslide detection[J]. Remote Sensing, 2019, 11(2):196.
[62] SALAKHUTDINOV R, HINTON G. Deep Boltzmann machines[C]//Proceedings of the 12th International Conference on Artificial Intelligence and Statistics. Clearwater Beach, Florida:[s.n.], 2009:448-455.
[63] BENGIO Y, COURVILLE A, VINCENT P. Representation learning:a review and new perspectives[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013, 35(8):1798-1828.
[64] BORDES A, USUNIER N, GARCIA-DURAN A, et al. Translating embeddings for modeling multi-relational data[C]//Proceedings of Advances in neural information processing systems. 2013:2787-2795.
[65] ZHANG F, YUAN N J, LIAN D, et al. Collaborative knowledge base embedding for recommender systems[C]//Proceedings of the 22nd ACM SIGKDD international conference on knowledge discovery and data mining. ACM, 2016:353-362.

重大滑坡隐患分析方法综述

A review of major potential landslide hazards analysis

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