爆炸地震波在半无限介质自由表面运动规律
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摘要
为更好的研究在浅埋地下爆炸作用下岩土体中出现的波动过程,将爆炸力学、弹性力学和高等数学的基本理论知识进行有效结合,建立了浅埋爆炸作用下,地震波在半无限介质自由表面运动的计算模型,并用Matlab编程计算爆炸地震波的水平和垂直位移.结果表明:震源同一埋深时,随着地震波传播距离的增加,水平方向和垂直方向的位移均减小,但垂直方向位移比水平方向位移衰减的快;震源在不同埋深时,爆破震源埋深的增加,水平方向的位移和垂直方向的位移也均减小.Matlab编程计算结果是正确的符合实际爆破工程中地震波在岩体介质中的传播规律.
In order to better research the fluctuations appearing in rock and soil in the shallow underground explosion,this paper effectively combined the explode mechanics,elasticity and basic theoretical knowledge of advanced mathematics,established the calculation model for seismic waves movement in semi-infinite medium free surface under shallow explosion,and calculated the displacement in horizontal and vertical direction of explosion seismic waves using Matlab program.The results show that when the focal depth is the same,with the increase of seismic wave propagation distance,the displacement in both the vertical direction and the horizontal direction is reduced,but the displacement of vertical direction is decayed faster than that in the horizontal direction;when the focal depths are different,with the increases of the blasting focal depth,the displacement in both vertical and horizontal direction is also reduced.The calculated results by Matlab programming are consistent with the propagation of seismic waves in rock medium in the actual blasting projects.
In order to better research the fluctuations appearing in rock and soil in the shallow underground explosion,this paper effectively combined the explode mechanics,elasticity and basic theoretical knowledge of advanced mathematics,established the calculation model for seismic waves movement in semi-infinite medium free surface under shallow explosion,and calculated the displacement in horizontal and vertical direction of explosion seismic waves using Matlab program.The results show that when the focal depth is the same,with the increase of seismic wave propagation distance,the displacement in both the vertical direction and the horizontal direction is reduced,but the displacement of vertical direction is decayed faster than that in the horizontal direction;when the focal depths are different,with the increases of the blasting focal depth,the displacement in both vertical and horizontal direction is also reduced.The calculated results by Matlab programming are consistent with the propagation of seismic waves in rock medium in the actual blasting projects.
引文
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[19]刘书贤,刘书会,魏晓刚,等.采动区地震—开采沉陷变形对建筑耦合作用[J].辽宁工程技术大学学报:自然科学版,2011,30(S1):92-94.Liu Shuxian,Liu Shuhui,Wei Xiaogang,et al.Coupling effect of earthquake and mining subsidence deformation on buildings in mining areas[J].Journal of Liaoning Technical University:Natural Science,2011,30(S1):92-94.
[20]杨姝扬,牛健.数字化建筑设计模式与应用[J].辽宁工程技术大学学报:自然科学版,2011,30(6):880-883.Yang Shuyang,Niu Jian.Digital architectural design patterns and its application[J].Journal of Liaoning Technical University:Natural Science,2011,30(6):880-883.
[21]葛涛,王明洋,赵跃唐,等.岩体中爆炸分区最大半径的计算[J].防护工程,2005,27(5):10-15.Ge Tao,Ming Yang,Zhao Yue Tang.Other rock explosion calculate the maximum radius of the partition[J].Protection Engineering,2005,27(5):10-15.
[22]石崇.爆破地震效应分析与安全评价[D].青岛:山东科技大学,2005.Shi Chong.The blasting seismic effect analysis and safety evaluation of Qingdao[D].Qingdao:Shandong University of Science and Technology,2005.
[23]唐廷,王明洋,葛涛,等.地下爆炸的地表运动研究[J].岩石力学与工程学报,2007,26(1):3 527-3 535.Tang Ting,Wang Mingyang,Ge Tao,et al.Study on ground movement of underground explosions[J].Rock Mechanics and Rngineering,2007,26(1):3 527-3 535.
[2]叶海旺,房泽法,彭志刚.爆破地震对将诶狗的影响[J].爆破,2000(1):86-93.Ye Haiwang,Fang Zefa,Peng Zhigang.Blasting earthquake on the effects of EI dog[J].Blasting,2000(1):86-93.
[3]李德林,方向.爆破震动效应对建筑物的影响[J]工程爆破,2004,10(2):65-70.Li Delin,Fang Xiang.Effect of blasting vibration effect on building[J].Engineering Blasting,2004,10(2):65-70.
[4]Henrich J.爆炸动力学及其应用[M].熊建国等译.北京:科学出版社,1987.Henrich J.The dynamics of explosion and its application[M].translated by Xiong Jianguo.Beijing:Science Press,1987.
[5]Midlin R Detal.一个振荡的影响弹性球的接触表面的力量[J].lst Cong.Appl.Mech,1953,202-210.Midlin R Detal.Forces affecting elastic contact surface of a sphere oscillating[J].lst Cong.Appl.Mech,1953,202-210.
[6]孙为国.岩土介质中爆炸震源与地震波及其效应的研究[D].北京:北京理工大学,1998.Sun Weiguo.Institute of rock and soil medium explosive source and seismic wave and its effect[D].Beijin:Beijing Institute of Technology,1998.
[7]Sharpe J A.The production of elastic waves by explosion pressure[J].Geophysics,1942,7:144-155;311-325.
[8]王忠仁,张静.复变函数和积分变换[M].北京:高等教育出版社,2006.Wang Zhongren,Zhang Jing.The function of complex variable and integral transform[M].Beijing:Higher Education Press,2006.
[9]罗江,唐瑜,郝加波.复杂网络的控制及计算机数值算法[J].辽宁工程技术大学学报:自然科学版,2012,30(3):413-416.Luo Jiang,Tang Yu,Hao Jiabo.Control of complex network and computer numerical algorithm[J].Journal of Liaoning Technical University:Natural Science,2012,30(3):413-416.
[10]王洪亮,葛涛,王德荣,等.块系岩体动力特性理论与实验对比分析[J].岩石力学与工程学报,2007,26(5):951-959.Wang Hongliang,Ge Tao,Wang Derong,et al.Analysis of dynamic characteristics of block rock mass of theoretical and experimental[J].Chinese Journal of rock mechanics and engineering,2007,26(5):951-959.
[11]Nordyke M D.An analysis of crstering data from desert alluvium[J].Journal of Geophysical Research,1962,67(5):1 965-1 978.
[12]University of California.Engineering with Nuclear explosive[C].Proceeding of the 3rd Plowshare Symposium.Engieering with Nuclear Explosives,11964:26-38.
[13]舍米亚金.弹塑性理论嗯动力学问题[M].戚承志译.北京:科学出版社,2009.Sh Mia Kim.Elastic plastic theory well dynamic problems[M].translated by Qi Chengzhi.Beijing:Science Press,2009.
[14]范新,王明洋,谭可可.爆炸荷载作用下深部块体变形运动规律研究[J].岩石力学与工程学报,2007,26(5):1 019-1 028.Fan Xin,Wang Mingyang,Tan Keke.Deformation law of deep block under explosive load[J].Chinese Journal of rock mechanics and engineering,2007,26(5):1 019-1 28.
[15]范新.深部岩体的变形与动力破坏效应的研究[D].南京:解放军理工大学,2006.Fan Xin.Deep deformation and dynamic rock mass damage effect of[D].research.Nanjing:PLA University of Science and Technology,2006.
[19]刘书贤,刘书会,魏晓刚,等.采动区地震—开采沉陷变形对建筑耦合作用[J].辽宁工程技术大学学报:自然科学版,2011,30(S1):92-94.Liu Shuxian,Liu Shuhui,Wei Xiaogang,et al.Coupling effect of earthquake and mining subsidence deformation on buildings in mining areas[J].Journal of Liaoning Technical University:Natural Science,2011,30(S1):92-94.
[20]杨姝扬,牛健.数字化建筑设计模式与应用[J].辽宁工程技术大学学报:自然科学版,2011,30(6):880-883.Yang Shuyang,Niu Jian.Digital architectural design patterns and its application[J].Journal of Liaoning Technical University:Natural Science,2011,30(6):880-883.
[21]葛涛,王明洋,赵跃唐,等.岩体中爆炸分区最大半径的计算[J].防护工程,2005,27(5):10-15.Ge Tao,Ming Yang,Zhao Yue Tang.Other rock explosion calculate the maximum radius of the partition[J].Protection Engineering,2005,27(5):10-15.
[22]石崇.爆破地震效应分析与安全评价[D].青岛:山东科技大学,2005.Shi Chong.The blasting seismic effect analysis and safety evaluation of Qingdao[D].Qingdao:Shandong University of Science and Technology,2005.
[23]唐廷,王明洋,葛涛,等.地下爆炸的地表运动研究[J].岩石力学与工程学报,2007,26(1):3 527-3 535.Tang Ting,Wang Mingyang,Ge Tao,et al.Study on ground movement of underground explosions[J].Rock Mechanics and Rngineering,2007,26(1):3 527-3 535.
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