爆破地震波作用下隧道围岩动应力集中系数分析
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摘要
将爆破地震波进行合理近似简化,采用波函数展开法,推导了无限岩石介质中爆破地震波作用下隧道围岩动应力集中系数的表达式,结合具体算例,从理论上定量分析了围岩不同位置上爆破地震波主频和围岩物理力学指标对动应力集中系数的影响。分析结果表明:隧道围岩迎爆侧的动应力集中系数整体上大于背爆侧,动应力集中系数峰值偏向于迎爆侧;在不同主频爆破地震波作用下,动应力集中系数的影响存在最大值;隧道围岩的弹性模量对动应力集中系数的影响较大,而泊松比对动应力集中系数的影响较小。
The blasting seismic waves are simplified reasonably.Based on the wave function expansion method,an equation for dynamic stress concentration factor of tunnel surrounding rock of infinite rock under the blasting seismic waves is deduced.Based on a typical case,the influences of the main frequency of the blasting seismic wave and the physico-mechanical indices of tunnel surrounding rock on the dynamic stress concentration factor at different positions are quantitatively analyzed.The results show that the dynamic stress concentration factor of tunnel surrounding rock near blasting is larger than that far away from it.The peak of dynamic stress concentration factor of tunnel surrounding rock is close to the near-blasting side.There is a peak of the dynamic stress concentration factor under different main frequencies of the blasting seismic waves.The elasticity modulus of the surrounding rock has a greater effect on the dynamic stress concentration factor,and the effect of Poisson's ratio of rock on the factor can almost be neglected.
The blasting seismic waves are simplified reasonably.Based on the wave function expansion method,an equation for dynamic stress concentration factor of tunnel surrounding rock of infinite rock under the blasting seismic waves is deduced.Based on a typical case,the influences of the main frequency of the blasting seismic wave and the physico-mechanical indices of tunnel surrounding rock on the dynamic stress concentration factor at different positions are quantitatively analyzed.The results show that the dynamic stress concentration factor of tunnel surrounding rock near blasting is larger than that far away from it.The peak of dynamic stress concentration factor of tunnel surrounding rock is close to the near-blasting side.There is a peak of the dynamic stress concentration factor under different main frequencies of the blasting seismic waves.The elasticity modulus of the surrounding rock has a greater effect on the dynamic stress concentration factor,and the effect of Poisson's ratio of rock on the factor can almost be neglected.
引文
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[15]GB6722—2003爆破安全规程[S].北京:中国标准出版社,2003.(GB6722—2003 Blasting safety regulations[S].Beijing:China Standards Press,2003.(in Chinese))
[2]叶培旭,杨新安,凌保林,等.近距离交叉隧洞爆破对既有隧道的振动影响[J].岩土力学,2011,32(2):537–541.(YEPei-xu,YANG Xin-an,LING Bao-lin,et al.Vibration effectson existing tunnel induced by blasting of an adjacent crosstunnel[J].Rock and Soil Mechanics,2011,32(2):537–541.(in Chinese))
[3]阳生权,周健,刘宝琛.爆破震动作用下公路隧道动力特性分析[J].岩石力学与工程学报,2005,24(增刊2):5803–5807.(YANG Sheng-quan,ZHOU Jian,LIU Bao-chen.Blasting vibration analysis of concrete lining tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(S2):5803–5807.(in Chinese))
[4]张庆松,李利平,李树才,等.小间距隧道爆破动力特性试验研究[J].岩土力学,2008,29(10):2655–2660.(ZHANGQing-song,LI Li-ping,LI Shu-cai,et al.Experimental studyof blasting dynamic vibration of closely adjacent tunnels[J].Rock and Soil Mechanics,2008,29(10):2655–2660.(inChinese))
[5]邓华锋,张国栋,王乐华,等.导流隧洞开挖施工的爆破振动监测与分析[J].岩土力学,2011,32(3):855–860.(DENG Hua-feng,ZHANG Guo-dong,WANG Le-hua,et al.Monitoring and analysis of blasting vibration in diversiontunnel excavation[J].Rock and Soil Mechanics,2011,32(3):855–860.(in Chinese))
[6]毕继红,钟建辉.邻近隧道爆破震动对既有隧道影响的研究[J].工程爆破,2004,10(4):69–73.(BI Ji-hong,ZHONGJian-hui.Study on influence of blasting vibration fromexcavation of a new tunnel on existed tunnel[J].EngineeringBlasting,2004,10(4):69–73.(in Chinese))
[7]姚勇,何川.并设小净距隧道爆破振动响应分析及控爆措施研究[J].岩土力学,2009,30(9):2815–2822.(YAOYong,HE Chuan.Analysis of blasting vibration response ofparallel set small clear-distance tunnels and blasting controlmeasures[J].Rock and Soil Mechanics,2009,30(9):2815–2822.(in Chinese))
[8]赵东平,王明年.小净距交叉隧道爆破振动响应研究[J].岩土工程学报,2007,29(1):116–119.(ZHAO Dong-ping,WANG Ming-nian.Study on influence of blasting vibrationon cross tunnels with small clearance[J].Chinese Journal ofGeotechnical Engineering,2007,29(1):116–119.(inChinese))
[9]易长平,卢文波,张建华.爆破振动作用下地下洞室临界振速的研究[J].爆破,2005,22(4):4–7.(YI Chang-ping,LU Wen-bo,ZHANG Jian-hua.Study on critical failurevibration velocity of underground chambers under action ofblasting vibration[J].Blasting,2005,22(4):4–7.(inChinese))
[10]朱传云,许桂生.爆炸应力波近似处理的分析与研究[J].岩土力学,2002,23(4):455–458.(ZHU Chuan-yun,XUGui-sheng.Analysis and study on dealing with blasting waveas planar-wave[J].Rock and Soil Mechanics,2002,23(4):455–458.(in Chinese))
[11]肖正学.爆破地震波动力学基础与地震效应[M].成都:电子科技大学出版社,2004.(XIAO Zheng-xue.Blastingseismic wave dynamical foundation and seismic effect[M].Chengdu:The University of Electronic Science andTechnology Press,2004.(in Chinese))
[12]PAO Yih-hsing,MOW Chao-chow.Diffraction of elasticwaves and dynamic stress concentrations[M].Crane:Russak&Company Inc,1973.
[13]钟启凯.地下圆形组合衬砌洞室在地震波下的动力反应分析[D].长沙:湖南大学,2009.(ZHONG Qi-kai.Dynamicresponse analysis of underground cylindrical compositelining cavern subjected to seismic waves[D].Changsha:Hunan University,2009.(in Chinese))
[14]朱瑞赓,李铮.爆破地震波作用下岩石隧道的临界振动速度[M].北京:冶金工业出版社,1985.(ZHU Rui-geng,LI Zheng.Critical failure vibration velocity of rock tunnelunder blasting seismic wave[M].Beijing:MetallurgicalIndustry Press,1985.(in Chinese))
[15]GB6722—2003爆破安全规程[S].北京:中国标准出版社,2003.(GB6722—2003 Blasting safety regulations[S].Beijing:China Standards Press,2003.(in Chinese))
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