三峡库区白水河滑坡位移与裂缝分形特征

谢媛华; 张国伟; 曹宗伟; 苗发盛

doi:10.19509/j.cnki.dzkq.tb20230166

三峡库区白水河滑坡位移与裂缝分形特征

doi: 10.19509/j.cnki.dzkq.tb20230166

1a.
中国地质大学(武汉)出版社, 武汉 430074
1b.
中国地质大学(武汉)工程学院, 武汉 430074
2.
青海省柴达木综合地质矿产勘查院, 青海格尔木 816099
3.
西安测绘总站, 西安 710054

基金项目:

湖北省自然科学基金项目 2023AFB580

国家自然科学基金项目 42377161

详细信息

作者简介:
谢媛华, E-mail: 898255228@qq.com

通讯作者:
苗发盛, E-mail: fsmiao@cug.edu.cn

中图分类号: P642.22
计量
- 文章访问数: 305
- PDF下载量: 73
- 被引次数: 0
出版历程
- 收稿日期: 2023-03-29
- 录用日期: 2023-04-19
- 修回日期: 2023-04-10

Fractal characteristics of displacement and cracks in the Baishuihe landslide in the Three Gorges Reservoir Area

1a.
China University of Geosciences Press, China University of Geosciences(Wuhan), Wuhan 430074, China
1b.
Faculty of Engineering, China University of Geosciences(Wuhan), Wuhan 430074, China
2.
Qaidam Integrated Geological Exploration Institute of Qinghai Province, Golmud Qinghai 816099, China
3.
Xi'an Division of Surveying and Mapping, Xi'an 710054, China

More Information

Author Bio:
XIE Yuanhua, E-mail: 898255228@qq.com

Corresponding author: MIAO Fasheng, E-mail: fsmiao@cug.edu.cn

摘要

摘要:
地表位移与裂缝发育是滑坡变形演化最为直观的表现形式, 因此, 通过位移监测数据与地表裂缝发育状况来揭示滑坡变形破坏特征与演化阶段对于滑坡灾害的分析防治具有重要的现实意义。选取三峡库区白水河滑坡为研究对象, 系统搜集并分析了2003-2016年滑坡监测数据, 选取ZG93和ZG118监测点, 首先基于R/S分析计算了位移数据的分形参数Hurst指数; 其次以每年为时间间隔对2个监测点位移进行多重分形维数计算研究; 最后引入滑坡裂缝分期配套理论, 对白水河滑坡目前裂缝发育状况进行裂缝分形维数计算。结果表明, 2个监测点位移分形维数H指数均大于0.5, 说明滑坡位移序列存在一定的正相关性; 白水河滑坡演化过程分为平稳变形状态(2003年6月-2007年6月)、加速变形状态(2007年6月-2009年12月)、平稳变形状态(2009年12月-2015年12月); 对比地表裂缝分形维数与滑坡裂缝分期配套规律可知, 白水河滑坡目前裂缝发育仍然处在初始变形阶段。研究成果对于揭示水库滑坡的演化状态具有一定的指导意义。
- 分形理论 /
- 白水河滑坡 /
- 位移 /
- 裂缝 /
- 三峡库区
Abstract: Objective
Surface displacement and crack development are the most intuitive manifestations of landslide deformation and evolution. Therefore, revealing the characteristics and evolution stages of landslide deformation and failure through displacement monitoring and surface crack survey is highly practical.
Methods
In this study, the Baishuihe landslide in the Three Gorges Reservoir Area is selected as the research case, and monitoring data from 2003-2016 for this landslide are systematically collected and analyzed, taking monitoring points ZG93 and ZG118 as example. First, the fractal parameter Hurst index R/S analysis is carried out for the displacement data. Second, the multiple fractal dimensions of the displacement of the two monitoring points are calculated every year. Finally, the theory of stage matching of landslide cracks is introduced, and the crack fractal dimension of the Baishuihe landslide is determinated.
Results
The results show that there is a certain positive correlation between the landslide displacement sequences, and the fractal dimension H index of the two monitoring points is greater than 0.5. The evolution process of the Baishuihe landslide can be divided into a steady deformation state (from June 2003 to June 2007), an accelerated deformation state (from June 2007 to December 2009), and a steady deformation state (from December 2009 to December 2015). According to the matching law of crack stages, the development of the landslide is the initial deformation stage.
Conclusion
The research results have a certain guiding significance for revealing the evolutionary state of reservoir landslides.
- fractal theory /
- Baishuihe landslide /
- displacement /
- crack /
- Three Gorges Reservoir Area
注释:

所有作者声明不存在利益冲突。

HTML全文

图 1 白水河滑坡全貌图(镜头方向210°)

Figure 1. Overview of the Baishuihe landslide(210° Direction)

下载: 全尺寸图片幻灯片

图 2 白水河平面图

Figure 2. Plan view of the Baishuihe landslide

下载: 全尺寸图片幻灯片

图 3 白水河滑坡监测数据

Figure 3. Monitoring data of the Baishuihe landslide

下载: 全尺寸图片幻灯片

图 4 基于R/S分析的监测点各时间段累计位移H指数

Figure 4. H-index of monitoring points in each time period based on R/S analysis

下载: 全尺寸图片幻灯片

图 5 监测点不同时间位移多重分形维数

Figure 5. Multifractal dimension of monitoring point displacement at different time

下载: 全尺寸图片幻灯片

图 6 牵引式滑坡裂缝分期配套示意图(据文献[22])

Figure 6. Schematic diagram of crack stage matching of the retrogressive landslide

下载: 全尺寸图片幻灯片

表 1 滑坡各阶段平面裂缝分形维数

Table 1. Fractal dimension of plane cracks in each stage of the landslide

裂缝发育阶段	初始时刻	阶段Ⅰ	阶段Ⅱ	阶段Ⅲ	阶段Ⅳ
裂缝分形维数	1.240	1.379	1.403	1.429	1.483

下载: 导出CSV

参考文献(26)

[1]	刘晓, 唐辉明, 刘瑜. 基于集对分析和模糊马尔可夫链的滑坡变形预测新方法研究[J]. 岩土力学, 2009, 30(11): 3399-3405. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200911039.htm LIU X, TANG H M, LIU Y. A new model for landslide displacement prediction based on set pair analysis and fuzzy-Markov chain[J]. Rock and Soil Mechanics, 2009, 30(11): 3399-3405. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200911039.htm
[2]	于广明. 分形及损伤力学在矿山开采沉陷中的应用研究[J]. 岩石力学与工程学报, 1999, 18(2): 241-243. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX902.032.htm YU G M. Application of fractal and damage mechanics in mining subsidence[J]. Chinese Journal of Rock Mechanics and Engineering, 1999, 18(2): 241-243. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX902.032.htm
[3]	YOKOI Y, CARR J R, WATTERS R J. Fractal character of landslides[J]. Environmental & Engineering Geoscience, 1995, 1(1): 75-81.
[4]	LI C J, MA T H, SUN L L, et al. Application and verification of a fractal approach to landslide susceptibility mapping[J]. Natural Hazards, 2012, 61(1): 169-185. doi: 10.1007/s11069-011-9804-x
[5]	POURGHASEMI H R, MORADI H R, FATEMI AGHDA S M, et al. Assessment of fractal dimension and geometrical characteristics of the landslides identified in North of Tehran, Iran[J]. Environmental Earth Sciences, 2014, 71(8): 3617-3626. doi: 10.1007/s12665-013-2753-9
[6]	LIU L N, LI S D, LI X, et al. An integrated approach for landslide susceptibility mapping by considering spatial correlation and fractal distribution of clustered landslide data[J]. Landslides, 2019, 16(4): 715-728. doi: 10.1007/s10346-018-01122-2
[7]	邱海军, 曹明明, 刘闻, 等. 区域滑坡空间分布的变维分形特征研究[J]. 现代地质, 2014, 28(2): 443-448. https://www.cnki.com.cn/Article/CJFDTOTAL-XDDZ201402024.htm QIU H J, CAO M M, LIU W, et al. Research on variable dimension fractal characteristics of spatial distribution of landslides[J]. Geoscience, 2014, 28(2): 443-448. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-XDDZ201402024.htm
[8]	李珊珊, 李军杰, 杨龙, 等. 基于分形理论的滑坡空间分布特征研究[J]. 灾害学, 2014, 29(1): 214-220. https://www.cnki.com.cn/Article/CJFDTOTAL-ZHXU201401038.htm LI S S, LI J J, YANG L, et al. Characteristics of landslide spatial distribution based on fractal theory[J]. Journal of Catastrophology, 2014, 29(1): 214-220. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-ZHXU201401038.htm
[9]	王森, 许强, 罗博宇, 等. 基于分形理论的南江县滑坡敏感性分析与易发性评价[J]. 水文地质工程地质, 2017, 44(3): 119-126. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201703020.htm WANG S, XU Q, LUO B Y, et al. Vulnerability analysis and susceptibility evaluation of landslides based on fractal theory in Nanjiang County[J]. Hydrogeology & Engineering Geology, 2017, 44(3): 119-126. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201703020.htm
[10]	GUI L, YIN K L, GLADE T. Landslide displacement analysis based on fractal theory, in Wanzhou District, Three Gorges Reservoir, China[J]. Geomatics, Natural Hazards and Risk, 2016, 7(5): 1707-1725. doi: 10.1080/19475705.2015.1137241
[11]	LU S, TANG H M, ZHANG Y Q, et al. Effects of the particle-size distribution on the micro and macro behavior of soils: Fractal dimension as an indicator of the spatial variability of a slip zone in a landslide[J]. Bulletin of Engineering Geology and the Environment, 2018, 77(2): 665-677. doi: 10.1007/s10064-017-1028-1
[12]	MIAO F S, WU Y P, LI L W, et al. Weakening laws of slip zone soils during wetting-drying cycles based on fractal theory: A case study in the Three Gorges Reservoir (China)[J]. Acta Geotechnica, 2020, 15: 1909-1923. doi: 10.1007/s11440-019-00894-8
[13]	吴树仁, 石玲, 谭成轩, 等. 长江三峡黄腊石和黄土坡滑坡分形分维分析[J]. 地球科学, 2000, 25(1): 61-65. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200001012.htm WU S R, SHI L, TAN C X, et al. Fractal analysis of Huanglashi and Huangtupo landslides in Three Gorges, Changjiang River, China[J]. Earth Science, 2000, 25(1): 61-65. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200001012.htm
[14]	贺可强, 孙林娜, 王思敬. 滑坡位移分形参数Hurst指数及其在堆积层滑坡预报中的应用[J]. 岩石力学与工程学报, 2009, 28(6): 1107-1115. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200906006.htm HE K Q, SUN L N, WANG S J. Displacement fractal parameter Hurst index and its application to prediction of debris landslides[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(6): 1107-1115. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200906006.htm
[15]	樊晓一, 田宏岭. 三峡库区重庆段滑坡活动时间分布的物理分形研究[J]. 中国地质灾害与防治学报, 2009, 20(2): 1-6. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDH200902000.htm FAN X Y, TIAN H L. Physics fractal of temporal distributing of the landslides in the Three Gorges Reservoir[J]. The Chinese Journal of Geological Hazard and Control, 2009, 20(2): 1-6. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDH200902000.htm
[16]	樊晓一, 张友谊, 杨建荣. 地震滑坡地形剖面线多重分形特征及其在稳定性判别中的应用[J]. 自然灾害学报, 2012, 21(3): 144-149. https://www.cnki.com.cn/Article/CJFDTOTAL-ZRZH201203021.htm FAN X Y, ZHANG Y Y, YANG J R. Multifractal of terrain profiles of seismic landslides and its application to stability assessment[J]. Journal of Natural Disasters, 2012, 21(3): 144-149. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-ZRZH201203021.htm
[17]	樊晓一. 滑坡位移多重分形特征与滑坡演化预测[J]. 岩土力学, 2011, 32(6): 1831-1837. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201106051.htm FAN X Y. Landslide displacement multifractal and its application to prediction of evolvement trend[J]. Rock and Soil Mechanics, 2011, 32(6): 1831-1837. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201106051.htm
[18]	HU X M, YAN E C, Lü K, et al. Fractal characteristics of motion trace curve of landslide monitoring points[J]. Applied Mechanics and Materials, 2011, 90/93: 1285-1290. doi: 10.4028/www.scientific.net/AMM.90-93.1285
[19]	桂蕾, 殷坤龙. 基于多重分形理论的滑坡地表监测位移分析[J]. 中南大学学报(自然科学版), 2014, 45(11): 3908-3914. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201411026.htm GUI L, YIN K L. Analysis of landslide surface monitoring displacement based on multi-fractal theory[J]. Journal of Central South University (Sciences and Technology), 2014, 45(11): 3908-3914. (in Chinese with English abstract) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201411026.htm
[20]	YANG Z Y, POURGHASEMI H R, LEE Y H. Fractal analysis of rainfall-induced landslide and debris flow spread distribution in the Chenyulan Creek Basin, Taiwan[J]. Journal of Earth Science, 2016, 27(1): 151-159. doi: 10.1007/s12583-016-0633-4
[21]	ZUO R G, CARRANZA E J M. A fractal measure of spatial association between landslides and conditioning factors[J]. Journal of Earth Science, 2017, 28(4): 588-594. doi: 10.1007/s12583-017-0772-2
[22]	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): 1104-1112. doi: 10.3321/j.issn:1000-6915.2008.06.003 XU Q, TANG M G, XU K X, 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): 1104-1112. (in Chinese with English abstract) doi: 10.3321/j.issn:1000-6915.2008.06.003
[23]	MIAO F S, WU Y P, XIE Y H, et al. Prediction of landslide displacement with step-like behavior based on multialgorithm optimization and a support vector regression model[J]. Landslides, 2018, 15: 475-488. doi: 10.1007/s10346-017-0883-y
[24]	汤罗圣, 左清军, 岳敏, 等. 基于滑带完整性指标的三峡库区堆积层滑坡失稳破坏判据[J]. 地质科技通报, 2022, 41(6): 77-84. doi: 10.19509/j.cnki.dzkq.2022.0253 TANG L S, ZUO Q J, YUE M, et al. Instability failure criterion of debris landslide in the Three Gorges Reservoir Area based on the sliding zone integrity index[J]. Bulletin of Geological Science and Technology, 2022, 41(6): 77-84. (in Chinese with English abstract) doi: 10.19509/j.cnki.dzkq.2022.0253
[25]	刘艺梁, 唐玄, 许方党, 等. 基于滑体渗透性与库水变动的滑坡变形滞后规律研究[J]. 地质科技通报, 2022, 41(6): 105-112. doi: 10.19509/j.cnki.dzkq.2022.0205 LIU Y L, TANG X, XU F D, et al. Landslide deformation hysteresis regularity based on permeability of landslide and reservoir water change[J]. Bulletin of Geological Science and Technology, 2022, 41(6): 105-112. (in Chinese with English abstract) doi: 10.19509/j.cnki.dzkq.2022.0205
[26]	姜自华, 王环玲. 考虑水致劣化效应的库岸滑坡非饱和渗流应力耦合分析[J]. 地质科技通报, 2022, 41(6): 113-122. doi: 10.19509/j.cnki.dzkq.2022.0216 JIANG Z H, WANG H L. Unsaturated seepage and stress coupling of reservoir landslides considering the water-induced deterioration effect[J]. Bulletin of Geological Science and Technology, 2022, 41(6): 113-122. (in Chinese with English abstract) doi: 10.19509/j.cnki.dzkq.2022.0216