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

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 def...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-02, Vol.11 (5), p.1106
Main Authors: Shao, Chenfei, Xu, Yanxin, Chen, Huixiang, Zheng, Sen, Qin, Xiangnan
Format: Article
Language:English
Subjects:
Accuracy
arch dam
Arch dams
China
Dam failures
Dam safety
dam safety monitoring
Dams
Deformation
deformation field estimation
Finite element method
Hydraulics
Inhomogeneity
Interpolation
Kriging interpolation
Mathematical models
Methods
Monitoring
Monte Carlo stochastic FEM
ordinary kriging
Simulation
Structural safety
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11051106