Analysis on groundwater response characteristics of Madiwan landslide under the influence of rainfall and reservoir water
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摘要:
精细化衡量地下水对外界因素的响应规律对分析滑坡稳定性具有重要意义。考虑库岸边坡的稳定性同时受库水位和降雨作用影响,提出了一种基于数据挖掘的滑坡地下水响应特征的研究方法。以三峡库区麻地湾滑坡为例,首先通过特征时段分析和Granger检验确定地下水响应滞后期,然后基于响应滞后期确定地下水水位的影响因素,结合Apriori数据挖掘算法揭示了麻地湾滑坡地下水的响应特征。研究结果表明:滑坡前缘地下水变化与库水位波动相关性较大,滑坡中后缘地下水变化与降雨相关性较大; 麻地湾滑坡地下水对于降雨和库水位的最佳响应滞后期为1 d;滑坡后缘的地下水水位对降雨响应较为强烈,而前缘的地下水水位对库水位响应更为强烈。
Abstract:Refined measurement of the groundwater response to external factors is of great significance to the analysis of landslide stability. Considering that the stability of the reservoir landslide is affected by the reservoir water level and rainfall, based on the association rule mining method, the research method for revealing the response rules of the underground water suffered rainfall and periodic water level is proposed, taking the Madiwan landslide in the Three Gorges Reservoir area as an example. First, the groundwater response lag period is determined through characteristic period analysis and Granger test, and then the influencing factors of groundwater are determined based on the response lag period. Finally, the groundwater response characteristics of the Madiwan landslide are revealed through the Apriori data mining algorithm. The research results show that the groundwater response at the front edge of the landslide has a greater correlation with the fluctuation of the reservoir water level, and the groundwater response at the middle and rear edge of the landslide has a greater correlation with rainfall. The best response lag period of the groundwater of the Madiwan landslide to rainfall and reservoir water is 1 day. The underground water level in the later part of landslide is sensitive to the rainfall, while that in the former part of the landslide is constantly related to the water level.
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表 1 地下水位及库水位平稳性检验结果表
Table 1. Stationarity test results of groundwater and reservoir water level
序列 1%水平 5%水平 10%水平 T P值 结论 库水位 −2.5984 −1.9455 −1.6137 −5.7075 0.0000 平稳 STK1 −2.5989 −1.9455 −1.6137 −3.1386 0.0021 平稳 STK2 −4.0925 −3.4743 −3.1644 −4.9619 0.0007 平稳 STK3 −3.5256 −2.9029 −2.5889 −4.2805 0.0010 平稳 表 2 库水位—地下水Granger检验结果
Table 2. Granger test results of reservoir water-groundwater
原假设对象 滞后期/d F统计量 显著性概率 STK1 5 3.00190 0.0180 4 3.07922 0.0227 3 3.46786 0.0214 2 5.21193 0.0080 1 9.27632 0.0033 0 5.21193 0.0080 STK2 5 1.52280 0.1975 4 1.74434 0.1524 3 1.51933 0.2183 2 0.85263 0.4310 1 0.16541 0.6855 0 0.85263 0.4310 STK3 5 0.80852 0.5485 4 1.09865 0.3657 3 0.27679 0.8419 2 0.28017 0.7566 1 0.51492 0.4755 0 0.28017 0.7566 表 4 降雨—地下水Granger检验结果
Table 4. Granger test results of reservoir water-groundwater
原假设对象一阶差分 滞后期/d F统计量 显著性概率 ΔSTK1 5 3.47407 0.0140 4 4.87326 0.0035 3 7.717742 0.0007 2 10.7237 0.0002 1 17.9322 0.0001 0 10.7237 0.0002 ΔSTK2 5 3.95676 0.0071 4 5.43435 0.0048 3 8.02101 0.0003 2 12.3844 0.0000 1 19.2297 0.0000 0 12.3844 0.0000 ΔSTK3 5 1.98545 0.1096 4 2.76818 0.0435 3 4.03297 0.0143 2 5.48946 0.0079 1 10.3815 0.0025 0 5.48946 0.0049 表 3 地下水位及降雨平稳性检验结果表
Table 3. Stationary test results of rainfall and reservoir water level
序列 1%水平 5%水平 10%水平 T P值 结论 日降雨 −3.6847 −2.9281 −2.6022 −5.7666 0.0000 平稳 STK1 −3.5847 −2.9281 −2.6022 −1.9409 0.3112 不平稳 STK2 −4.1756 −3.5130 −3.1868 −4.1466 0.0083 不平稳 STK3 −4.1809 −3.5155 −3.1882 −2.8101 0.2015 不平稳 ΔSTK1 −3.5885 −2.9297 −2.6030 −7.3686 0.0000 平稳 ΔSTK2 −2.6185 −1.9484 −1.6121 −7.3690 0.0000 平稳 ΔSTK3 −4.2191 −3.5330 −3.1983 −5.5752 0.0003 平稳 表 5 降雨数据定性分级表
Table 5. Qualitative classification table of rainfall
降雨等级 单日降雨量/mm 定性化值 小雨 [0,10) LightRain 中雨 [10,25) ModerateRain 大雨 [25,55) HeavyRain 暴雨 ≥55 TorrentialRain 表 6 库水位变动数据定性分级表
Table 6. Qualitative classification table of reservoir water level fluctuations
降雨等级 单日库水变化/m 定性化值 水位快速上升 ≥1.0 QuicklyFill 水位中速上升 [0.4,1.0) MediumFill 水位慢速上升 [0,0.4) SlowlyFill 水位慢速下降 (−0.2,0) SlowlyDewater 水位中速下降 (−0.4,0.2] MediumDewater 水位快速下降 ≤−0.4 QuicklyDewater 表 7 地下水变动数据定性分级表
Table 7. Qualitative classification table of groundwater fluctuations
降雨等级 单日水位变化/m 定性化值 水位快速上升 ≥1.0 QuicklyRise 水位中速上升 [0.1,1.0) MediumRise 水位慢速上升 [0,0.1) SlowlyRise 水位慢速下降 (−0.1,0) SlowlyDecline 水位中速下降 (−0.5,0.1] MediumDecline 水位快速下降 ≤-0.5 QuicklyDecline 表 8 地下水响应关联规则挖掘列表
Table 8. Groundwater response association rule mining result list
原假设对象一阶差分 规则 支持度/% 置信度/% 提升度 ΔSTK1 YR=LightRain&TR=HeavyRain&ΔYW=SlowlyFill→SlowlyRise 3.40 80 4.67 YR=HeavyRain&RR=TorrentialRain&ΔYW=Slowlydewater→QuicklyRise 0.72 80 24.25 YR=HeavyRain&ΔYW=SlowyDewater&ΔTW=SlowyDewater→MediumRise 0.88 80 9.42 ΔSTK2 RR=TorrentialRain&TR=HeavyRain→QuicklyRise 1.25 85.71 33.10 RR=ModerateRain&ΔTW=MediumDewater&
ΔYW=MediumDewater&TR=LifhtRain→MediumRise0.83 93.33 16.09 ΔYW=QuicklyDewater&YR=LightRain&
ΔTW=SlowlyFill→SlowlyDecline1.94 71.42 1.47 ΔSTK3 TR=HeavyRain&YR=LightRain&ΔTW=SlowlyDeWater→SlowlyRise 0.72 80 3.30 YR=HeavyRain&RR=HeavyRain&ΔYW=QuicklyDewater→QuicklyRise 0.42 100 31.07 YR=ModerateRain&RR=ModerateRain&
ΔYW=SlowlyFill→MediumRise0.43 100 17.09 表 9 麻地湾滑坡地下水水位响应判别矩阵
Table 9. Groundwater level response judgment matrix of Madiwan landslide
STK1 STK2 STK3 小雨 中雨 大雨 暴雨 小雨 中雨 大雨 暴雨 小雨 中雨 大雨 暴雨 快速
蓄水□升降 △上升 △上升 ◇上升 □升降 △上升 ◇上升 ◇升降 □升降 △上升 ◇上升 ◇上升 中速
蓄水□升降 △上升 △上升 ◇上升 □升降 △上升 ◇上升 ◇升降 □升降 △升降 ◇升降 ◇上升 慢速
蓄水□升降 △上升 △上升 ◇上升 □升降 △上升 ◇上升 ◇升降 □升降 △上升 △上升 ◇上升 慢速
降水□下降 □下降 △上升 ◇上升 □升降 △上升 ◇上升 ◇升降 □升降 △上升 ◇上升 ◇上升 中速
降水△下降 △下降 □上升 ◇上升 □升降 △上升 ◇上升 ◇升降 □升降 △升降 △升降 ◇上升 快速
降水△下降 △下降 □上升 ◇上升 □升降 □上升 ◇上升 ◇升降 □升降 □上升 ◇上升 ◇上升 注:□代表“慢速”;△代表“中速” ;◇代表“快速”。 -
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