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

Shao-Zhen Duan (), Guang-Li Li (), Xin Yang () and Xin-Rong Wei ()
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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

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2024, vol. 120, issue 2, No 41, 2057-2072

Abstract: 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.

Keywords: Contact model; Slope; Probability distribution function; Rockfall–slope collision; Rolling stone (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11069-023-06278-2

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