Citation: | XIE Yuanhua, ZHANG Guowei, CAO Zongwei, MIAO Fasheng. Fractal characteristics of displacement and cracks in the Baishuihe landslide in the Three Gorges Reservoir Area[J]. Bulletin of Geological Science and Technology, 2024, 43(4): 244-251. doi: 10.19509/j.cnki.dzkq.tb20230166 |
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.
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.
The results show that there is a certain positive correlation between the landslide displacement sequences, and the fractal dimension
The research results have a certain guiding significance for revealing the evolutionary state of reservoir landslides.
[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
|