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Stochastic Dynamic Response Analysis of the 3D Slopes of Rockfill Dams Based on the Coupling Randomness of Strength Parameters and Seismic Ground Motion

Author

Listed:
  • Rui Pang

    (School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China)

  • Laifu Song

    (College of Civil Engineering and Architecture, Wenzhou University, Wenzhou 325035, China)

Abstract

Because rockfill strength and seismic ground motion are dominant factors affecting the slope stability of rockfill dams, it is very important to accurately characterize the distribution of rockfill strength parameters, develop a stochastic ground motion model suitable for rockfill dam engineering, and effectively couple strength parameters and seismic ground motion to precisely evaluate the dynamic reliability of the three-dimensional (3D) slope stability of rockfill dams. In this study, a joint probability distribution model for rockfill strength based on the copula function and a stochastic ground motion model based on the improved Clough-Penzien spectral model were built; the strength parameters and the seismic ground motion were coupled using the GF-discrepancy method, a method for the analysis of dynamic reliability of the 3D slope stability of rockfill dams was proposed based on the generalized probability density evolution method (GPDEM), and the effectiveness of the proposed method was verified. Moreover, the effect of different joint distribution models on the dynamic reliability of the slope stability of rockfill dams was revealed, the effect of the copula function type on the dynamic reliability of the slope stability was analysed, and the differences in the dynamic reliability of the slope stability under parameter randomness, seismic ground motion randomness, and coupling randomness of parameters and seismic ground motion were systematically determined. The results were as follows: the traditional joint distribution models ignored related nonnormal distribution characteristics of rockfill strength parameters, which led to excessively low calculated failure probabilities and overestimations of the reliability of the slope stability; in practice, we found that the optimal copula function should be selected to build the joint probability distribution model, and seismic ground motion randomness must be addressed in addition to parameter randomness.

Suggested Citation

  • Rui Pang & Laifu Song, 2021. "Stochastic Dynamic Response Analysis of the 3D Slopes of Rockfill Dams Based on the Coupling Randomness of Strength Parameters and Seismic Ground Motion," Mathematics, MDPI, vol. 9(24), pages 1-25, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3256-:d:703346
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    References listed on IDEAS

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    1. Radović Igor & Sobol’ Ilya M. & Tichy Robert F., 1996. "Quasi-Monte Carlo Methods for Numerical Integration: Comparison of Different Low Discrepancy Sequences," Monte Carlo Methods and Applications, De Gruyter, vol. 2(1), pages 1-14, December.
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    Cited by:

    1. Laifu Song & Hao Ying & Wei Wang & Ning Fan & Xueming Du, 2022. "Reliability Modelling of Pipeline Failure under the Impact of Submarine Slides-Copula Method," Mathematics, MDPI, vol. 10(9), pages 1-25, April.
    2. Xiaodong Fu & Jingyu Kang & Qian Sheng & Lu Zheng & Wenjie Du & Haifeng Ding, 2022. "Investigation of 2D Seismic DDA Method for Numerical Simulation of Shaking Table Test of Rock Mass Engineering," Mathematics, MDPI, vol. 10(8), pages 1-23, April.

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