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Predicting the velocity and trajectory of a rockfall after collision considering the effects of slope properties

Author

Listed:
  • Shao-Zhen Duan

    (Lanzhou University of Technology)

  • Guang-Li Li

    (Lanzhou University of Technology)

  • Xin Yang

    (Lanzhou University of Technology)

  • Xin-Rong Wei

    (Lanzhou University of Technology)

Abstract

Rockfall events are a common geological hazard in the mountain areas of western China and frequently occur on unstable slopes. The purpose of this study was to establish a statistical model of random rockfall–slope collision using the impulse moment theorem considering that the impacted stones are moving. The rebound velocity of rockfall is random because the microstructure of the ground and slope can be described with statistical properties. The analytical solutions of the rebound particles are obtained as formulas for the incident velocity, incident angle, impacted rock movement, slope angle, and ground surface microstructure. The means and standard deviations of rebound velocity are fitted with slope angle to calculate formulas based on probability theory, which agrees with the previous results. The probability distribution functions of the horizontal distance and vertical distance follow a Gaussian distribution and a negative exponential distribution under the given slope angle, respectively. A formula of trajectory is also given.

Suggested Citation

  • Shao-Zhen Duan & Guang-Li Li & Xin Yang & Xin-Rong Wei, 2024. "Predicting the velocity and trajectory of a rockfall after collision considering the effects of slope properties," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 120(2), pages 2057-2072, January.
    • Handle: RePEc:spr:nathaz:v:120:y:2024:i:2:d:10.1007_s11069-023-06278-2
    DOI: 10.1007/s11069-023-06278-2
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    References listed on IDEAS

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    1. Xiaohui Liao & Xueliang Wang & Lihui Li & Haiyang Liu & Zhifa Yang & Zigan Chen, 2020. "Engineering Application and Prediction of the Influence Area of the Rockfall Hazards," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-14, May.
    2. Weigang Shen & Tao Zhao & Feng Dai, 2021. "Influence of particle size on the buffering efficiency of soil cushion layer against rockfall impact," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 108(2), pages 1469-1488, September.
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    Cited by:

    1. Mutluhan Akin & İsmail Dinçer & Ahmet Orhan & Ogün Ozan Varol, 2025. "A comparative study on rockfall block motion characteristics using 3-D and 2-D rockfall simulations: a case study from Cappadocia (Mazı, Türkiye)," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 121(2), pages 2265-2291, January.

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