ISSN 1000-3665 CN 11-2202/P

    考虑碰撞恢复系数的落石运动轨迹理论模型

    A theoretical model for the movement trajectory of the rockfall considering collision restitution coefficient

    • 摘要: 落石运动轨迹的准确预测是进行山区崩塌地质灾害防治的重要前提和基础,而落石与边坡坡面碰撞恢复系数的合理选取对落石运动轨迹的准确计算则有着重要影响。为此,针对目前碰撞恢复系数的选取未能很好地考虑落石入射速度及边坡岩土体屈服强度的不足,以法向碰撞恢复系数为例,首先对常用的法向碰撞恢复系数理论模型进行分析,认为Thornton模型是目前最具有代表性的法向碰撞恢复系数计算模型,可以很好地反映落石入射速度及边坡岩土体屈服强度对法向碰撞恢复系数的影响;其次,将该模型引入目前常用的落石运动轨迹计算模型中,得到了考虑碰撞恢复系数的落石运动轨迹理论模型,并给出了相应的计算流程;最后,将该模型应用于九寨沟某崩塌体危岩失稳后的运动预测中,计算得到了其运动轨迹,结果表明该危岩体失稳后将与坡面发生碰撞、斜抛飞行及沿坡面滚动等,最终停留在坡面上,因而不会对下部公路的交通安全造成影响。同时采用Rocfall软件对上述预测结果的合理性进行了初步验证,二者结果吻合较好,说明了该理论的合理性。

       

      Abstract: Accurate prediction of rockfall trajectory is foundation for the prevention and control of rock avalanche geological disasters in mountainous areas. A key factor influencing trajectory accuracy is the appropriate selection of the collision restitution coefficient between rockfalls and slope surfaces. However, current approaches often overlook the effects of incident velocity and the yield strength of the slope rock mass when determining this coefficient. To address this gap, this study focuses on the normal collision restitution coefficient. First, the commonly theoretical models for the normal collision restitution coefficient was analyzed and Thornton model was considered to be the most representative calculation model for the normal collision restitution coefficient at present. It can well reflect the impact of rockfall velocity and rockmass yield strength on the normal collision restitution coefficient. The proposed model was introduced into the current common rockfall trajectory calculation model, and the theoretical model for the rockfall trajectory considering the collision restitution coefficient was obtained. Then the corresponding calculation flow was given. The proposed model was applied to the movement prediction of a perilous rockmass in Jiuzhaigou Valley after its instability, and its movement trajectory was calculated. Validation using the Rocfall software yields consistent results, thereby supporting the reliability and applicability of the proposed theoretical model.

       

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