为揭示滑坡裂缝位移与降雨量之间的相关关系,探究衰减系数取值与滑坡位移的相关性,以典型降雨诱发滑坡小岩头滑坡为研究对象,采用Pearson方法对滑坡裂缝位移与日降雨量、前期降雨量和有效降雨量进行相关性分析,再基于线性拟合的Logistic回归模型,针对小岩头滑坡“阶跃”时间段的数据集进行拟合,建立不同衰减系数下滑坡位移-相关系数的逻辑回归方程。结果表明:①滑坡降雨有效作用期 t 最长为7 d,当有效降雨量达到116.9 mm时,其“阶跃”现象出现。②滑坡各阶段位移-降雨的相关系数 r 都随降雨衰减系数αi 取值的增大而增大。当滑坡衰减系数取0.7时,位移随衰减系数增减而产生的变化最明显。③当相关系数在“斜率最大拐点”处的产生突变时,可根据衰减系数和相关系数的变化判定滑坡是否进入加速变形破坏阶段,可使雨量监测预警模型的精确度提高。
Abstract
The aim of this study is to elucidate the correlation between landslide crack displacement and rainfall and to reveal the connection between attenuation coefficient and landslide displacement. With the rainfall-induced Xiaoyantou landslide as a case study, we employed the Pearson method for the correlation analysis between landslide crack displacement and daily, initial, and effective rainfalls, followed by the application of a linear fitting Logistic regression model to fit the stepwise period dataset of the Xiaoyantou landslide, and finally obtained the regression equations of slope displacement-correlation coefficient for different attenuation coefficients. The findings indicate that 1) Effective rainfall period of landslide spans six days to the most, and the stepwise phenomenon occurs when effective rainfall reaches 116.9 mm. 2) The correlation coefficient r between displacement and rainfall at different stages augments with an increasing rainfall attenuation coefficient αi. When the landslide’s attenuation coefficient is 0.7, the most significant shift in displacement with varying attenuation coefficient can be observed. 3) Notably, an abrupt change in the correlation coefficient at the maximum inflection point of the slope infers whether the landslide is transitioning into a period of accelerated deformation or failure. This inference is based on fluctuations in both the attenuation and correlation coefficients, hence enhancing the precision of rainfall monitoring and early warning models.
关键词
小岩头滑坡 /
有效降雨量 /
滑坡位移 /
衰减系数 /
相关性分析
Key words
Xiaoyantou landslide /
effective rainfall /
landslide displacement /
attenuation coefficient /
correlation analysis
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参考文献
[1] GUZZETTI F, PERUCCACCI S, ROSSI M, et al. The Rainfall Intensity-Duration Control of Shallow Landslides and Debris Flows: An Update[J]. Landslides, 2008, 5(1): 3-17.
[2] SHARIR K, ROSLEE R, LEE K E, et al. Landslide Factors and Susceptibility Mapping on Natural and Artificial Slopes in Kundasang, Sabah[J]. Sains Malaysiana, 2017, 46(9): 1531-1540.
[3] GIAN Q A, TRAN D-T, NGUYEN D C, et al. Design and Implementation of Site-Specific Rainfall-Induced Landslide Early Warning and Monitoring System: A Case Study at Nam Dan Landslide (Vietnam)[J]. Geomatics, Natural Hazards and Risk, 2017, 8(2): 1978-1996.
[4] BORDONI M,GALANTI Y,BARTELLETTI C,et al.The Influence of the Inventory on the Determination of the Rainfall-Induced Shallow Landslides Susceptibility Using Generalized Additive Models[J].CATENA,2020,193:104630.
[5] ALTHUWAYNEE O F, PRADHAN B. Semi-quantitative Landslide Risk Assessment Using GIS-Based Exposure Analysis in Kuala Lumpur City[J]. Geomatics, Natural Hazards and Risk, 2017, 8(2): 706-732.
[6] 刘礼领, 殷坤龙. 暴雨型滑坡降水入渗机理分析[J]. 岩土力学, 2008, 29(4): 1061-1066.
[7] 李 晓, 张年学, 廖秋林, 等. 库水位涨落与降雨联合作用下滑坡地下水动力场分析[J]. 岩石力学与工程学报, 2004, 23(21): 3714-3720.
[8] 许建聪, 尚岳全, 王建林. 松散土质滑坡位移与降雨量的相关性研究[J]. 岩石力学与工程学报, 2006, 25(增刊1): 2854-2860.
[9] 杨晓杰, 侯定贵, 郝振立, 等. 南芬露天铁矿高陡边坡失稳与降雨相关性研究[J]. 岩石力学与工程学报, 2016, 35(增刊1): 3232-3240.
[10]YANG H, WEI F, MA Z, et al. Rainfall Threshold for Landslide Activity in Dazhou, Southwest China[J]. Landslides, 2020, 17(1): 61-77.
[11]简文彬, 许旭堂, 郑敏洲, 等. 土坡失稳的有效降雨量研究[J]. 岩土力学, 2013, 34(增刊2): 247-251.
[12]岑 越, 刘振平, 刘 建, 等. 奉节新铺滑坡裂缝位移与降雨天数相关性研究[J]. 水利水电技术(中英文), 2022, 53(2): 133-141.
[13]ELIAS G U. Establishing Rainfall Frequency Contour Lines as Thresholds for Rainfall-Induced Landslides in Tegucigalpa, Honduras, 1980-2005[J]. Natural Hazards, 2016, 82(3): 2107-2132.
[14]KLUGER M O, JORAT M E, MOON V G, et al. Rainfall Threshold for Initiating Effective Stress Decrease and Failure in Weathered Tephra Slopes[J]. Landslides, 2020, 17(2): 267-281.
[15]SEGONI S, PICIULLO L, GARIANO S L. A Review of the Recent Literature on Rainfall Thresholds for Landslide Occurrence[J]. Landslides, 2018, 15(8): 1483-1501.
[16]黄晓虎,雷德鑫,夏俊宝,等.降雨诱发滑坡阶跃型变形的预测分析及应用[J].岩土力学,2019,40(9):3585-3592,3602.
[17]HEERDEGEN R G. Landslides: Causes, Consequences and Environment[J]. New Zealand Geographer, 1989, 45(2): 93-94.
[18]韩 舸, 龚 威, 吴 婷, 等. 利用粗糙集的滑坡分阶段位移预测方法: 以白家包滑坡为例[J]. 吉林大学学报(地球科学版), 2014, 44(3): 925-931.
[19]邓茂林, 周 剑, 易庆林, 等. 三峡库区靠椅状土质滑坡变形特征及机制分析[J]. 岩土工程学报, 2020, 42(7): 1296-1303.
[20]林 巍, 李远耀, 徐 勇, 等. 湖南慈利县滑坡灾害的临界降雨量阈值研究[J]. 长江科学院院报, 2020, 37(2): 48-54.
[21]张富灵, 邓茂林, 周 剑, 等. 长江三峡库区谭家湾滑坡基本变形特征及机理分析[J]. 长江科学院院报, 2021, 38(1): 78-83.[22]尚 敏, 廖 芬, 马 锐, 等. 白家包滑坡变形与库水位、降雨相关性定量化分析研究[J]. 工程地质学报, 2021, 29(3): 742-750.
[23]高华喜, 殷坤龙. 降雨与滑坡灾害相关性分析及预警预报阀值之探讨[J]. 岩土力学, 2007, 28(5): 1055-1060.
[24]白兰英, 周 杨, 李绍红, 等. 南江县古坟坪滑坡降雨入渗观测与稳定性分析[J]. 长江科学院院报, 2018, 35(7): 68-73.
[25]郭智辉, 简文彬, 刘青灵, 等. 基于现场原型试验的斜坡降雨入渗分析及入渗模型研究[J]. 岩土力学, 2021, 42(6): 1635-1647.
[26]尚 敏, 廖 芬, 马 锐, 等. 基于一元线性回归模型八字门滑坡累积位移预测[J]. 工程地质学报, 2019, 27(5): 1172-1178.
[27]唐朝晖, 余小龙, 柴 波, 等. 顺层岩质滑坡渐进破坏进入加速的能量学判据[J]. 地球科学, 2021, 46(11): 4033-4042.
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