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Characterization Model Research on Deformation of Arch Dam Based on Correlation Analysis Using Monitoring Data

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  • Zhongwen Shi

    (Nanjing Hydraulic Research Institute, Nanjing 210029, China
    State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing 210029, China)

  • Jun Li

    (Nanjing Hydraulic Research Institute, Nanjing 210029, China
    State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing 210029, China
    College of Water Resources and Hydropower, Hohai University, Nanjing 210098, China)

  • Yanbo Wang

    (College of Water Resources and Hydropower, Hohai University, Nanjing 210098, China)

  • Chongshi Gu

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing 210029, China
    College of Water Resources and Hydropower, Hohai University, Nanjing 210098, China)

  • Hailei Jia

    (Nanjing Hydraulic Research Institute, Nanjing 210029, China)

  • Ningyuan Xu

    (Nanjing Hydraulic Research Institute, Nanjing 210029, China)

  • Junjie Zhai

    (Nanjing Hydraulic Research Institute, Nanjing 210029, China)

  • Wenming Pan

    (Nanjing Hydraulic Research Institute, Nanjing 210029, China)

Abstract

Deformation is the most direct indicator of structural state changes in arch dams. Therefore, numerous deformation monitoring points are typically arranged on arch dams to obtain deformation data from each point. Considering the complex relationships between the deformation at each monitoring point, this study focuses on the internal structural relationships and information fusion within the dam. The Pearson correlation coefficient is used as a similarity index to determine significant linear correlations between the measuring points. Ward’s cluster analysis method is then applied to group these points based on their similarities. To identify measuring points with strong nonlinear correlations, the Maximum Information Coefficient (MIC) method is employed. By integrating these linear and nonlinear correlations, a model is constructed to characterize the deformation at specific measurement points using data from strongly correlated points. The effectiveness of this model is verified through a concrete engineering case study, offering a novel approach for analyzing arch dam deformations.

Suggested Citation

  • Zhongwen Shi & Jun Li & Yanbo Wang & Chongshi Gu & Hailei Jia & Ningyuan Xu & Junjie Zhai & Wenming Pan, 2024. "Characterization Model Research on Deformation of Arch Dam Based on Correlation Analysis Using Monitoring Data," Mathematics, MDPI, vol. 12(19), pages 1-19, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3110-:d:1492177
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    References listed on IDEAS

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    1. Chenfei Shao & Yanxin Xu & Huixiang Chen & Sen Zheng & Xiangnan Qin, 2023. "Ordinary Kriging Interpolation Method Combined with FEM for Arch Dam Deformation Field Estimation," Mathematics, MDPI, vol. 11(5), pages 1-22, February.
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