爆破作用下顺层岩质边坡稳定的可靠性分析
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摘要
基于可靠度理论建立顺层岩质边坡稳定的可靠性分析方法,获得顺层岩质边坡可靠指标和失稳概率的计算表达式。以某高切坡为例分析其稳定状态和失稳概率,并据此探讨不同粘聚力、内摩擦角、炸药量和爆心距条件下边坡失稳概率的变化规律。计算结果表明,粘聚力对边坡的失稳概率影响较大;随着内摩擦角的增加,边坡失稳概率近乎线性减小;当单孔药量从10 kg增大到160 kg后,失稳概率增幅97.10%;当爆心距小于20 m时,边坡的失稳概率减小的速度很快,而爆心距超过20 m后边坡失稳概率减小的幅度较小。考虑爆破振动的时效性,爆破荷载使边坡失稳概率增大49.61%,单次爆破振动的影响时间约6 s。
Based on reliability theory, a reliability analysis method for bedding rock slope is established, considering the effect of blasting load. The calculation expressions of the reliable index and failure probability are obtained. Taking a high-cutting slope as an example, the steady state and failure probability are analyzed, and the change rules of failure probability are discussed under diverse cohesion, internal friction angle, explosive charge and distance to burst center. The calculated results show that cohesion has a great influence on failure probability, and that failure probability decreases linearly with the increase of internal friction angle. When the single-hole dose increases from 10 kg to 160 kg, the failure probability increases to 97.10%. When the distance to burst center is less than 20 m, the failure probability decreases rapidly, but the decreases reduce while distance exceeds 20 m. Finally, considering the timeliness of blasting vibration, it is found that blasting load makes the failure probability increase 49.61%, and the impact time of single blasting vibration is about 6 seconds.
Based on reliability theory, a reliability analysis method for bedding rock slope is established, considering the effect of blasting load. The calculation expressions of the reliable index and failure probability are obtained. Taking a high-cutting slope as an example, the steady state and failure probability are analyzed, and the change rules of failure probability are discussed under diverse cohesion, internal friction angle, explosive charge and distance to burst center. The calculated results show that cohesion has a great influence on failure probability, and that failure probability decreases linearly with the increase of internal friction angle. When the single-hole dose increases from 10 kg to 160 kg, the failure probability increases to 97.10%. When the distance to burst center is less than 20 m, the failure probability decreases rapidly, but the decreases reduce while distance exceeds 20 m. Finally, considering the timeliness of blasting vibration, it is found that blasting load makes the failure probability increase 49.61%, and the impact time of single blasting vibration is about 6 seconds.
引文
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[2] 蒋水华, 祁小辉, 曹子君, 等. 基于随机响应面法的边坡系统可靠度分析[J]. 岩土力学, 2015, 36(3): 809-818(Jiang Shuihua, Qi Xiaohui, Cao Zijun, et al. System Reliability Analysis of Slope with Stochastic Response Surface Method[J]. Rock and Soil Mechanics, 2015, 36(3): 809-818)
[3] 唐小松, 李典庆, 曹子君, 等. 有限数据条件下边坡可靠度分析的Bootstrap方法[J]. 岩土力学, 2016, 37(3):893-911(Tang Xiaosong, Li Dianqing, Cao Zijun, et al. A Bootstrap Method for Analyzing Slope Reliability Based on Limited Shear-Strength Parameter Data[J]. Rock and Soil Mechanics, 2016, 37(3): 893-911)
[4] 李维光, 张继春. 爆破振动作用下顺层岩质边坡稳定性分析[J]. 爆炸与冲击, 2007, 27(5): 426-430(Li Weiguang, Zhang Jichun. Study on Rock Mass Bedding Slope Stability under Blast Seism[J]. Explosion and Shock Waves, 2007, 27(5): 426-430)
[5] 王智德, 夏元友, 周雄, 等. 顺层岩质边坡爆破的振动控制及损伤特性[J]. 爆炸与冲击, 2017, 37(1): 27-36(Wang Zhide, Xia Yuanyou, Zhou Xiong, et al. Blasting Vibration Control and Damage Characteristic of Bedding Rock Slopes[J]. Explosion and Shock Waves, 2017, 37(1): 27-36)
[6] 崔铁军, 马云东, 王来贵. 边坡爆破高度对边坡稳定性的影响[J]. 安全与环境学报, 2017, 17(3): 896-900(Cui Tiejun, Ma Yundong, Wang Laigui. Simulated Study on the Influence of the Slope Blasting Height on the Slope Stability[J]. Journal of Safety and Environment, 2017, 17(3): 896-900)
[7] 张飞, 孟祥甜, 李铸峰, 等. 震动波传播衰减特性模拟[J]. 辽宁工程技术大学学报:自然科学版, 2014, 33(8): 1 103-1 107(Zhang Fei, Meng Xiangtian, Li Zhufeng, et al. Transmission Characteristics of Shock Wave in Rock Slope[J]. Journal of Liaoning Technical University:Natural Science, 2014, 33(8): 1 103-1 107)
[8] 钟冬望, 陈江伟, 余刚. 边坡爆破振动传播规律的试验研究[J]. 武汉科技大学学报, 2010, 33(3): 332-336(Zhong Dongwang, Chen Jiangwei, Yu Gang. Experimental Study of Propagation of Slope Blasting Vibration[J]. Journal of Wuhan University of Science and Technology, 2010, 33(3): 332-336)
[9] 张继春, 郭学彬, 郑爽英, 等. 顺层边坡岩体的爆破振动特性试验研究[J]. 地下空间与工程学报, 2005, 1(7): 1 041-1 044(Zhang Jichun, Guo Xuebin, Zheng Shuangying, et al. Experimental Study on Vibration Characteristic of Rock Mass Blasting at Layered Slope[J]. Chinese Journal of Underground Space and Engineering, 2005, 1(7): 1 041-1 044)
[10] 桂劲松, 康海贵. 结构可靠度分析的响应面法及其Matlab实现[J].计算力学学报, 2004, 21(6): 683-687(Gui Jinsong, Kang Haigui. Response Surface Method for Structural Reliability Analysis and Its Realization with Matlab[J]. Chinese Journal of Computational Mechanics, 2004, 21(6): 683-687)
[11] 贡金鑫, 魏巍巍. 工程结构可靠性设计原理[M]. 北京: 机械工业出版社, 2007(Gong Jinxin, Wei Weiwei. Principles of Reliability Design for Engineering Structure[M]. Beijing: China Machine Press,2007)
[12] SL378-2007, 水工建筑物地下开挖工程施工规范[S]. 北京: 中国水利水电出版社, 2008(SL378-2007, Construction Specification on Underground Excavating Engineering of Hydraulic Structures[S]. Beijing: China Water & Power Press, 2008)
[13] 张倬元, 王士天, 王兰生. 工程地质分析原理[M]. 北京: 地质出版社, 2009(Zhang Zhuoyuan, Wang Shitian, Wang Lansheng. Principles of Engineering Geology[M]. Beijing: Geological Publishing House, 2009)