考虑参数不确定性的强震区危岩崩塌运动规律分析

    ANALYSIS OF THE MOTION LAW OF DANGEROUS ROCK COLLAPSE IN STRONG EARTHQUAKE AREA CONSIDERING PARAMETER UNCERTAINTY

    • 摘要: 地震崩塌中落石的运动路径、冲击力大小和到达概率受众多因素影响,有显著的不确定性特征,在众多影响因素中,坡面形态是影响崩塌运动最重要的不确定性因子之一。本研究采用分形几何方法和不确定性理论,以云南省乐红隧道口典型危岩区为原型,进行了坡面分形特征模拟。随后,选取坡面分形维数,坡表覆盖物,落石质量,地震烈度及落石初始高度5种影响因素,依据正交试验原理在Rocfall中展开崩塌落石模拟试验。研究结果表明:采用分形布朗运动模型法能够较好实现坡面分形特征的快速随机模拟;崩塌落石水平运动距离和最大弹跳高度受坡面分形维数、坡表覆盖物和地震烈度的显著影响,落石最大动能受坡表覆盖物和落石质量的显著影响,落石到达隧道口的概率和冲击动能受坡表覆盖物的显著影响;经验证,由多元线性回归方法得到的模型能够较好地对研究区域崩塌落石运动进行预测,可以方便快捷地估算出落石运动特征参数不确定性范围,为现场分析崩塌落石危险性及防治工程设计提供必要的参考。

       

      Abstract: The movement path, impact force magnitude, and arrival probability of falling rocks in seismic collapse are influenced by many factors and have significant uncertainty characteristics. Among these factors, slope surface morphology is one of the most important uncertainty factors affecting collapse movement. In this study, the fractal geometry method and uncertainty theory were used to simulate the slope surface fractal characteristics at the entrance of Lehong Tunnel in Yunnan Province. After that, five influencing factors—slope fractal dimension, slope surface cover, rock quality, seismic intensity, and initial height of rockfall—were selected to simulate rockfall movement in Rocfall software based on the principle of orthogonal testing. The results show that the fractal Brownian motion model method can successfully simulate the fractal characteristics of the slope surface; the fractal dimension of the slope surface, slope surface cover, and seismic intensity significantly impact the horizontal movement distance and maximum bounce height of falling rocks; the slope surface cover and the weight of falling rocks have a considerable impact on the maximum kinetic energy of falling rocks; the probability of falling rocks reaching the tunnel entrance and the impact kinetic energy are significantly influenced by the slope surface cover. It is verified that the model obtained by the multiple linear regression method can better predict rockfall movement in the study area and can easily and quickly estimate the uncertainty range of the characteristic parameters of rockfall movement, providing the necessary reference for the analysis of the risk of rockfall and the design of prevention engineering in the field.

       

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