Method of Determining Design Value of Rockfall Block Size Based on the Return Period

WANG Yusuo; LYU Ningning; WANG Mingnian; TANG Jianhui; YANG Junxiang; ZHAO Zhuang; XIAO Peng; AN Bo

doi:10.3969/j.issn.0258-2724.20240240

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WANG Yusuo, LYU Ningning, WANG Mingnian, TANG Jianhui, YANG Junxiang, ZHAO Zhuang, XIAO Peng, AN Bo. Method of Determining Design Value of Rockfall Block Size Based on the Return Period[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240240

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Method of Determining Design Value of Rockfall Block Size Based on the Return Period

doi: 10.3969/j.issn.0258-2724.20240240

1.
School of Civil Engineering, Southwest Jiaotong University, Chengdu 611756, China
2.
College of Engineering, Tibet University, Xizang 850000, China

Received Date: 15 May 2024
Rev Recd Date: 24 Sep 2024

Available Online: 17 Jan 2025

Abstract

Abstract

The rockfall events on transport lines in mountainous areas occur frequently and are sudden and random. Probability-based reliability design of protective structures is a necessary and effective means to reduce the hazard risk. However, the method of determining the design value of rockfall size, as a basic parameter of the design, is still unclear, making the reliability design fail to be carried out effectively. The prediction method of rockfall size and the return period was introduced based on the Poisson-generalized Pareto distribution (GPD) composite model. According to the rockfall record data of the Bai−Upper section of Baoji−Chengdu Railway, the GPD threshold was selected, and the impact of the missing maximum and minimum rockfall sizes (vmax and vmin) in the record on the threshold selection and prediction results was analyzed. Corresponding to the exceedance probability of the standard value of earthquake action, a method of determining the design value of rockfall size was proposed, which was based on the three-level protection standard featuring “the structure doesn’t break under small rockfalls, can be repaired under medium rockfalls, and doesn’t collapse under large rockfalls”. The results show that the missing maximum rockfall size in the record has a small impact on the threshold selection but a large impact on the prediction results of the rockfall size. The prediction value of rockfall size corresponding to the return period increases exponentially with the set maximum rockfall size, while the recorded minimum rockfall size has less impact on both the threshold selection and the prediction results. By taking the record data of the Bai−Upper section of Baoji−Chengdu Railway as an example, according to the selected reasonable threshold, different maximum rockfall size values are set. By using the method presented in this paper, the interval range of rockfall size in return periods of 50, 100, 1 000, and 10 000 years on the Bai−Upper section of Baoji−Chengdu Railway is predicted, and the standard value (design value) of rockfall size corresponding to the three-level protection standard in design reference periods of 50 and 100 years is calculated, which can provide a reference for similar engineering designs.
- protective structure,
- rockfall size,
- return period,
- generalized Pareto distribution,
- design value

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