基于尖点突变理论和爆破累积损伤模型的岩溶基坑防突厚度研究

doi:10.13722/j.cnki.jrme.2021.0484

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摘要循环爆破动荷载作用下，针对岩溶基坑侧壁涌突水的安全隐患，需确定合理的防突厚度。首先，根据基坑侧壁涌突水的力学特征，建立防突层失稳破坏的圆锥台力学模型，采用尖点突变理论及能量判别方法，得到防突层势函数及分叉点集方程，推导岩溶基坑防突厚度的表达式。然后，在爆破开挖中，从岩体疲劳损伤的角度引入爆破累积损伤模型，并得到循环爆破的累积损伤值，同时对防突层的弹性模量进行修正，形成考虑循环爆破次数的岩溶基坑防突厚度的计算方法。最后，以大连地铁5号线梭鱼湾南站为工程依托，对其防突厚度进行计算，并对主要影响因素进行参数敏感性分析，提出具体的防涌突施工措施。研究结果表明：引入爆破累积疲劳损伤变量，得到了不同爆破次数下岩溶基坑的防突厚度，其随着岩层弹性模量E、泊松比μ、压力扩散角θ、钢支撑轴力F1的减小而增大，而与岩溶水压力F3、岩溶区半径R2、爆破次数n呈现正相关的变化趋势；在各影响因素的敏感性分析中，岩溶区半径R2和岩溶水压力F3对防突厚度的影响最为显著，敏感性因子分别为0.869，0.722。该方法及结论对于岩溶区爆破开挖下岩质基坑的设计与安全施工有较好的借鉴价值。

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	蒋腾飞1
	姜谙男1
	许梦飞1
	李兴盛2

关键词 ：基坑工程, 防突厚度, 尖点突变, 累积损伤, 岩溶, 爆破, 敏感性

Abstract：Under the action of cyclic blasting dynamic loads，it is necessary to determine a reasonable anti-outburst thickness for the hazards of water inrush on the side walls of karst foundation pits. First，according to the mechanical characteristics of water inrush from the sidewalls of the foundation pit，a mechanical model of the truncated cone is established to prevent the instability and damage of the outburst layers. Using the cusp catastrophe theory and energy discrimination method，the anti-outburst layer potential function and the bifurcation point set equation are obtained, and the expression of the anti-outburst thickness of karst foundation pits is deduced. Furthermore，in the blasting excavation，the blasting cumulative damage model is introduced from the perspective of rock fatigue damage，and the cumulative damage value of cyclic blasting is obtained. At the same time，the elastic modulus of the anti-outburst layer is revised to form a calculation method for the anti-outburst thickness of karst foundation pits considering the number of cyclic blasting. Finally，based on the Suoyuwan South Station of Dalian Metro Line 5，the outburst prevention thickness is calculated，the parameter sensitivity analysis of the main influencing factors is carried out，and the concrete outburst prevention construction measures are put forward. The research results show that the anti-outburst thickness of karst foundation pits under different blasting times can be obtained by introducing the blasting cumulative fatigue damage variable. The anti-outburst thickness increases with decreasing the rock elastic modulus E，the Poisson¢s ratio m，the pressure diffusion angle θ and the steel support axial force F1，but is positively correlated with the karst water pressure F3，the karst zone radius R2 and the number of blasting n. In the sensitivity analysis of various influencing factors，the karst zone radius R2 and the karst water pressure F3 have the most significant influence on the thickness of anti- outburst，and the sensitivity factors are 0.869 and 0.722 respectively. This method and conclusion have good reference value for the design and safe construction of rock foundation pits under blasting excavation in karst areas.

Key words： foundation pit engineering outburst prevention thickness cusp mutation cumulative damage karst blasting sensitivity

引用本文:

蒋腾飞1，姜谙男1，许梦飞1，李兴盛2. 基于尖点突变理论和爆破累积损伤模型的岩溶基坑防突厚度研究[J]. 岩石力学与工程学报, 2021, 40(9): 1902-1913.
JIANG Tengfei1，JIANG Annan1，XU Mengfei1，LI Xingsheng2. Study on the thickness of karst foundation pits against outburst based on sharp point catastrophe theory and blasting cumulative damage model. , 2021, 40(9): 1902-1913.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.0484 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I9/1902

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