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Effects of reservoir water level fluctuations and rainfall on a landslide by two-way ANOVA and K-means clustering

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Abstract

The deformation and failure of reservoir landslides are typically affected by reservoir water level fluctuations, rainfall, and their jointed influence. This study develops a novel approach to interpret the effect of reservoir water level and precipitation and their interaction on the displacement of reservoir landslides. This new methodology, which integrates the two-way analysis of variance (ANOVA) and K-means clustering, can consider numerical dependent variables and the joint effect of two independent influence factors. The proposed methodology is illustrated using the Gapa landslide in Southwest China, an active reservoir landslide subjected to rainfall and an 80-m cyclic reservoir water level fluctuation. The mechanisms of the rapid deformation in the landslide are revealed using the proposed methodology by clustering both the reservoir water fluctuations and rainfall intensities into multiple phases and examine each combination using ANOVA. The results show that the landslide trend displacement rate during reservoir drawdown at low reservoir water level with heavy rainfall increases by 0.5–0.7 mm/day compared with reservoir drawdown at high reservoir water level, and increases by 1.2–1.8 mm/day compared with drawdown at low reservoir water level without rainfall. The reservoir filling at high water level is the safest phase, even with rain. The main findings by the method are confirmed by Pearson’s correlation and numerical tests. The proposed approach provides a satisfactory analytical method to identify the joint influence of reservoir water level and rainfall on the deformation of reservoir landslides at different time phases.

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Abbreviations

ANOVA:

Analysis of variance

DHL:

Drawdown at high levels

DLL:

Drawdown at low levels

FHL:

Filling at high levels

FLL:

Filling at low levels

HR:

Heavy rain

IR:

Light rain

MR:

Medium rain

NR:

No rain

NWL:

Normal water levels

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Acknowledgements

The first author appreciates the support for field monitoring and data provided by Yalong River Hydropower Development Company Limited and Chengdu Engineering Corporation Limited.

Funding

This study is funded by the National Key Research and Development Program of China (No. 2017YFC1501302), the Key Program of National Natural Science Foundation of China (No. 41630643), the Fundamental Research Funds for the Central Universities, and China University of Geosciences (Wuhan) (No. CUGCJ1701).

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Correspondence to Xinli Hu.

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Wu, S., Hu, X., Zheng, W. et al. Effects of reservoir water level fluctuations and rainfall on a landslide by two-way ANOVA and K-means clustering. Bull Eng Geol Environ 80, 5405–5421 (2021). https://doi.org/10.1007/s10064-021-02273-8

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