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Ordinary Kriging Interpolation Method Combined with FEM for Arch Dam Deformation Field Estimation

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  • Chenfei Shao

    (College of Civil and Transportation Engineering, Hohai University, Nanjing 210024, China
    State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China)

  • Yanxin Xu

    (College of Civil and Transportation Engineering, Hohai University, Nanjing 210024, China
    State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China)

  • Huixiang Chen

    (College of Agricultural Science and Engineering, Hohai University, Nanjing 210024, China)

  • Sen Zheng

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China)

  • Xiangnan Qin

    (Yellow River Laboratory, Zhengzhou University, Zhengzhou 450001, China)

Abstract

The deformation characteristic of the arch dam can directly reflect its service performance, which can be analyzed on the basis of the dam deformation field. However, restricted by the limited number of dam monitoring points and the inhomogeneity of materials, an accurate measurement of arch dam deformation field is difficult to estimate by using the existing common methods, such as the spatial interpolation methods and the finite element method (FEM). With the aim of ensuring arch dam structure safety, the ordinary kriging interpolation method, combined with FEM, is proposed for arch dam deformation field estimation, in this study. Given the inversion of the computation parameters of the arch dam, FEM is used to calculate the basic arch dam deformation. Subsequently, the ordinary kriging interpolation method is introduced to estimate the spatial variance deformation at each point of the arch dam. One superhigh arch dam in China is selected as a case study; two additional methods are introduced as comparisons that are based on a numerical experiment and the actual monitoring data. The experimental results show that the proposed method considerably improves the accuracy and computational efficiency of the arch dam deformation field estimation and that it is of great practical importance for characterizing the deformation behavior of arch dams.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1106-:d:1077333
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    References listed on IDEAS

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    1. Huaizhi Su & Xiaoqun Yan & Hongping Liu & Zhiping Wen, 2017. "Integrated Multi-Level Control Value and Variation Trend Early-Warning Approach for Deformation Safety of Arch Dam," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(6), pages 2025-2045, April.
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