Analysis of Propagation Characteristics of SH Waves in Upper Soil and Lower Rock Strata
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摘要: 为研究爆破地震波在层状地层的传播规律，选取平面SH（水平剪切）波作为研究对象，基于弹性波动理论，建立了一般层状地层的刚度矩阵和动力平衡方程，分析了土层与基岩的阻抗比、土层厚度、入射波频率和入射波角度对地表速度与土岩地层界面速度的比值（|u1/u2|）的影响。结果表明：|u1/u2|的各个峰值随着入射波频率的增大而减小，且第2个峰值明显小于第1个峰值，实际工程中应重点关注土层的一阶卓越频率；随着土层阻抗的增大，高频部分的响应越来越强烈，且受入射角的影响也越来越大；当土层较薄时，|u1/u2|高频部分的响应比较明显，但随着土层厚度增加，高频部分的响应越来越小，说明土层的高频滤波作用随着厚度的增加而增强。Abstract: In order to study the propagation law of blasting seismic waves in general strata induced by underground engineering constructions, shear horizontal (SH) waves were selected as the research object and the stiffness matrix and dynamic balance equation of general layered strata were established based on elastic wave theory. The propagation law of plane SH waves in the soil-rock stratum was studied, and the influence of soil-rock impedance ratio, thickness of soil layers, frequency and incident angle of incident waves on the ratio of ground velocity to soil-rock interface velocity |u1/u2| was analyzed. Results show that the peak |u1/u2| decreases with the increase of the frequency of incident waves, and the secondary peak is obviously smaller than the first peak. In practical engineering, the focus is on the first predominant frequency of the soil layer; as the impedance of the soil layer increases, the high-frequency response becomes stronger and stronger, and it is also increasingly affected by the incident angle. When the soil layer is thin, the high-frequency response of |u1/u2| is more obvious, but it becomes smaller and smaller as the thickness increases. This indicates that the high frequency filtering effect of the soil layer increases with the increase of the thickness.
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图 2 半无限基岩上层状地层示意图
Figure 2. Schematic diagram of stratified strata on semi-infinite bedrocks
图 4 上土下岩地层示意图
Figure 4. Schematic diagram of the upper soil and lower rock stratigraphy
图 5 不同阻抗条件下入射角对
$ {\text{|}}{u_1}{\text{/}}{u_2}{\text{|}} $ -f曲线的影响Figure 5. Influence of incident angles on the
$ {\text{|}}{u_1}{\text{/}}{u_2}{\text{|}} $ -f curves under different impedances
图 6 Z=0.19时不同厚度土层下入射角对
$ {\text{|}}{u_1}{\text{/}}{u_2}{\text{|}} $ -f 曲线的影响Figure 6. Effects of incident angle on the
$ {\text{|}}{u_1}{\text{/}}{u_2}{\text{|}} $ -f curves under different thicknesses of soil layers when Z=0.19 -
[1] 张永兴, 张远华. 隧道爆破开挖条件下地表建筑振动速度响应研究 [J]. 地震工程与工程振动, 2010, 30(6): 112–119. doi: 10.13197/j.eeev.2010.06.007ZHANG Y X, ZHANG Y H. Research on vibration velocity responses of surface building under the condition of blasting excavation in tunnel [J]. Journal of Earthquake Engineering and Engineering Vibration, 2010, 30(6): 112–119. doi: 10.13197/j.eeev.2010.06.007 [2] 路世伟. 露天转地下开采边坡爆破振动传播特性及安全判据研究 [D]. 武汉: 中国地质大学(武汉), 2017.LU S W. Propagation characteristics of blasting vibration in slopes subjected to open-pit to underground mining and safety criterion [D]. Wuhan: China University of Geosciences (Wuhan), 2017. [3] 胡国忠. 城市地下工程爆破的地面爆破震动效应及其震动强度预测 [D]. 重庆: 重庆大学, 2005.HU G Z. Forecast on intensity of vibration and study on effect of ground blast induced vibration of underground engineering in city [D]. Chongqing: Chongqing University, 2005. [4] 王玉杰, 梁开水, 田新邦. 周宁水电站地下厂房开挖爆破地震波衰减规律的研究 [J]. 岩石力学与工程学报, 2005, 24(22): 4111–4114. doi: 10.3321/j.issn:1000-6915.2005.22.017WANG Y J, LIANG K S, TIAN X B. Study on redundant regulation of underground digging blasting vibration of Zhouning hydropower station [J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(22): 4111–4114. doi: 10.3321/j.issn:1000-6915.2005.22.017 [5] 董永香, 黄晨光, 段祝平. 多层介质对应力波传播特性影响分析 [J]. 高压物理学报, 2005, 19(1): 59–65. doi: 10.11858/gywlxb.2005.01.011DONG Y X, HUANG C G, DUAN Z P. Analysis on the influence of multi-layered media on stress wave propagation [J]. Chinese Journal of High Pressure Physics, 2005, 19(1): 59–65. doi: 10.11858/gywlxb.2005.01.011 [6] SMERZINI C, AVILÉS J, PAOLUCCI R, et al. Effect of underground cavities on surface earthquake ground motion under SH wave propagation [J]. Earthquake Engineering & Structural Dynamics, 2009, 38(12): 1441–1460. doi: 10.1002/eqe.912 [7] 王猛, 马天宝, 宁建国. 炸药混凝土中爆炸能量释放规律的研究 [J]. 高压物理学报, 2012, 26(5): 517–522. doi: 10.11858/gywlxb.2012.05.006WANG M, MA T B, NING J G. Research of energy release law of explosive blasting in concrete [J]. Chinese Journal of High Pressure Physics, 2012, 26(5): 517–522. doi: 10.11858/gywlxb.2012.05.006 [8] 王超, 周传波, 路世伟, 等. 城市暗挖隧道爆破地震波传播规律研究 [J]. 科学技术与工程, 2017, 17(6): 158–162. doi: 10.3969/j.issn.1671-1815.2017.06.028WANG C, ZHOU C B, LU S W, et al. Propagation pattern of blasting vibration in the surrounding rock of metro tunnel [J]. Science Technology and Engineering, 2017, 17(6): 158–162. doi: 10.3969/j.issn.1671-1815.2017.06.028 [9] 张震, 周传波, 路世伟, 等. 超浅埋地铁站通道爆破暗挖地表振动传播特征 [J]. 中南大学学报(自然科学版), 2017, 48(8): 2119–2125. doi: 10.11817/j.issn.1672-7207.2017.08.020ZHANG Z, ZHOU C B, LU S W, et al. Propagation characteristics of ground vibration induced by subsurface blasting excavation in an ultra-shallow buried underpass [J]. Journal of Central South University (Science and Technology), 2017, 48(8): 2119–2125. doi: 10.11817/j.issn.1672-7207.2017.08.020 [10] 高文学, 颜鹏程, 李志星, 等. 浅埋隧道爆破开挖及其振动效应研究 [J]. 岩石力学与工程学报, 2011, 30(Suppl 2): 4153–4157.GAO W X, YAN P C, LI Z X, et al. Blasting excavation and vibration effects of shallow tunnel excavation [J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(Suppl 2): 4153–4157. [11] 汪平, 吉凌. 浅埋地铁隧道爆破振动速度传播规律及预测 [J]. 工程爆破, 2021, 27(2): 108–113, 134. doi: 10.19931/j.EB.20200222WANG P, JI L. Propagation law and prediction of blasting vibration velocity of shallow buried subway tunnel [J]. Engineering Blasting, 2021, 27(2): 108–113, 134. doi: 10.19931/j.EB.20200222 [12] 陈学军, 余思喆, 宋宇, 等. 采矿爆破振动波在岩溶区的传播影响因素分析 [J]. 地质力学学报, 2018, 24(5): 692–698. doi: 10.12090/j.issn.1006-6616.2018.24.05.070CHEN X J, YU S Z, SONG Y, et al. Analysis of factors influencing the propagation of mining blasting vibration wave in karst area [J]. Journal of Geomechanics, 2018, 24(5): 692–698. doi: 10.12090/j.issn.1006-6616.2018.24.05.070 [13] JAYASINGHE B, ZHAO Z Y, CHEE A G T, et al. Attenuation of rock blasting induced ground vibration in rock-soil interface [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2019, 11(4): 770–778. doi: 10.1016/j.jrmge.2018.12.009 [14] 朱斌, 蒋楠, 贾永胜, 等. 下穿燃气管道爆破振动效应现场试验研究 [J]. 岩石力学与工程学报, 2019, 38(12): 2582–2592. doi: 10.13722/j.cnki.jrme.2019.0183ZHU B, JIANG N, JIA Y S, et al. Field experiment on blasting vibration effect of underpass gas pipelines [J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(12): 2582–2592. doi: 10.13722/j.cnki.jrme.2019.0183 [15] 高启栋, 卢文波, 冷振东, 等. 考虑爆源特征的岩石爆破诱发地震波的波型与组分分析 [J]. 岩土力学, 2021, 42(10): 2830–2844. doi: 10.16285/j.rsm.2021.0108GAO Q D, LU W B, LENG Z D, et al. Analysis of wave-type and seismic component induced by rock blasting considering source characteristics [J]. Rock and Soil Mechanics, 2021, 42(10): 2830–2844. doi: 10.16285/j.rsm.2021.0108 [16] 王秉相, 程普锋, 郑宇轩, 等. 应力波在散体颗粒中的传播规律 [J]. 高压物理学报, 2020, 34(4): 044202. doi: 10.11858/gywlxb.20200508WANG B X, CHENG P F, ZHENG Y X, et al. Attenuation law of stress wave in granular particles [J]. Chinese Journal of High Pressure Physics, 2020, 34(4): 044202. doi: 10.11858/gywlxb.20200508 [17] 王桂林, 欧阳啸天, 翟俊, 等. 浅埋三舱管廊甲烷爆炸的地面响应规律 [J]. 高压物理学报, 2021, 35(1): 015202. doi: 10.11858/gywlxb.20200616WANG G L, OUYANG X T, ZHAI J, et al. Ground response law of methane explosion in shallow buried three-cabin pipe gallery [J]. Chinese Journal of High Pressure Physics, 2021, 35(1): 015202. doi: 10.11858/gywlxb.20200616 [18] WOLF J P. Dynamic soil-structure interaction [M]. Englewood Cliffs: Prentice-Hall, 1985. [19] 周俊汝. 爆破地震波传播过程中振动主频的衰减规律研究 [D]. 武汉: 武汉大学, 2017.ZHOU J R. Study on attenuation of dominant frequency of blast-induced vibration [D]. Wuhan: Wuhan University, 2017. -
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