Article(id=1241089937882280240, tenantId=1146029695717560320, journalId=1240670690148397066, issueId=1241089933696364783, articleNumber=null, orderNo=null, doi=10.3963/j.issn.1001-487X.2023.02.028, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1672761600000, receivedDateStr=2023-01-04, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1773828499526, onlineDateStr=2026-03-18, pubDate=1685548800000, pubDateStr=2023-06-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1773828499526, onlineIssueDateStr=2026-03-18, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773828499526, creator=13701087609, updateTime=1773828499526, updator=13701087609, issue=Issue{id=1241089933696364783, tenantId=1146029695717560320, journalId=1240670690148397066, year='2023', volume='40', issue='2', pageStart='1', pageEnd='229', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1773828498529, creator=13701087609, updateTime=1773828588505, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1241090311141782020, tenantId=1146029695717560320, journalId=1240670690148397066, issueId=1241089933696364783, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1241090311141782021, tenantId=1146029695717560320, journalId=1240670690148397066, issueId=1241089933696364783, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=199, endPage=209, ext={EN=ArticleExt(id=1241089938121355576, articleId=1241089937882280240, tenantId=1146029695717560320, journalId=1240670690148397066, language=EN, title=Influence of Fault and Karst on Propagation of Blasting Seismic Wave based on HHT Method, columnId=1240702076553065119, journalTitle=Blasting, columnName=BLASTING SAFETY, runingTitle=null, highlight=null, articleAbstract=

In order to study the influence of faults and internal karst on the propagation law of blasting seismic waves in open-pit mining, the change of seismic waves passing through faults and karst was analyzed. To collect the seismic data after blasting, monitoring points were arranged at the upper and lower walls of a large fault on the south slope and a karst cave at the+1014 m platform of the north slope of the Tangya limestone open pit mine. The Hilbert Huang transform method was used to process the original waveforms, and the changes of blasting seismic waves passing through the fault and the karst cave were analyzed by the time-spectrum energy spectrum, marginal spectrum, and instantaneous energy spectrum. The results showed that the energy attenuation of blasting seismic waves passing through the fault is very obvious. With the same vibration duration, the maximum instantaneous energy decreased from 1.7 10-5 at the front of the fault to 6.0 10-6 at the rear of the fault which was reduced to about 1/3 of the previous value. Among them, the energy at the rear of the fault in the frequency band of 60~80 Hz attenuated to 1/2 of that at front the fault. At the same time, the energy proportion of lower frequency band increased while the overall seismic wave energy decreased. The fault objectively hinders the propagation of blasting seismic waves. In addition, the energy change of blasting seismic wave was not obvious with the maximum instantaneous energy changed from 2.3 10-4 to 1.9 10-4 when it passed through the karst cave. However, the filtering effect of the high-frequency signal of seismic waves passing through the karst was obvious, and the energy distribution was more concentrated. The peak particle velocity on the rear part of the karst cave was slightly larger with an amplification coefficient of 1.10~2.53. The frequency band of energy generally developed to the low-frequency direction. Therefore, it is suggested to strengthen the support of rock mass above the karst.

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为研究在露天矿开采中边坡断层及内部岩溶对爆破地震波传播规律的影响,对地震波经过断层和溶岩后的数据变化进行分析。在塘垭石灰岩露天矿山南坡大断层上下盘和北坡+1014 m平台溶洞处布置测点采集爆破后地震波数据,采用Hilbert-Huang变换方法处理原始波形,从三维能量谱、边际谱及瞬时能量谱3个方面对爆破地震波经过断层及岩溶前后的变化进行了分析。结果表明:爆破地震波穿越断层后的能量衰减十分明显,在相同振动持续时间下,最大瞬时能量从1.7×10-5下降到6.0×10-6,前后峰值能量相差约3倍,其中高频频带60~80 Hz能量衰减至断层前1/2,低频能量占比增加,总体地震波能量降低,断层从客观上阻碍了爆破地震波的传播。爆破地震波经岩溶前后的能量幅值差距不大,最大瞬时能量从2.3×10-4下降到1.9×10-4,但穿越岩溶对地震波高频信号的过滤作用比较明显,能量分布更加集中,爆破地震波经过溶洞过程中发生了“鞭梢效应”,经过溶洞后的质点峰值速度略大,其振速放大系数经过计算为:1.10~2.53,频率整体上往低频方向发展,建议加强溶洞上方岩体的支护。

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张聪瑞(1991-),男,高级实验师、博士,矿山安全,(E-mail)
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石义虎(1998-),男,硕士研究生,矿山安全,(E-mail)

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石义虎(1998-),男,硕士研究生,矿山安全,(E-mail)

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articleId=1241089937882280240, language=CN, label=图16, caption=能量三维谱分析图, figureFileSmall=4kKRnE4cgE5RATjWJdLSNQ==, figureFileBig=FicXTZHIrz/4ANDXYssEjw==, tableContent=null), ArticleFig(id=1241089959789130119, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241089937882280240, language=EN, label=Table 1, caption=

Blast hole parameter

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参数名称参数选择
钻孔直径d90 mm
台阶高度H12 m
抵抗线WmaxW=24d+0.90=3.06 m
堵塞长度hh0=1.5W=4.59 m
炮孔间距a3.30 m
炮孔排距b3.06 m
炸药单位耗药量q0.33 kg/m3
单孔装药量Q40 kg
), ArticleFig(id=1241089959902376331, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241089937882280240, language=CN, label=表1, caption=

孔网参数

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参数名称参数选择
钻孔直径d90 mm
台阶高度H12 m
抵抗线WmaxW=24d+0.90=3.06 m
堵塞长度hh0=1.5W=4.59 m
炮孔间距a3.30 m
炮孔排距b3.06 m
炸药单位耗药量q0.33 kg/m3
单孔装药量Q40 kg
), ArticleFig(id=1241089959998845328, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241089937882280240, language=EN, label=Table 2, caption=

Vibration monitoring data for the fault

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测点组数X方向Y方向Z方向R/m单段齐爆药量Q/kg
Vx/(cm·s-1Fx/HzVy/(cm·s-1Fy/HzVz/(cm·s-1Fz/Hz
下盘10.65253.4620.47258.3920.41836.036188.140
上盘0.23741.7470.42348.8350.24242.105211.340
下盘24.81027.4003.77039.7002.64048.300106.640
上盘3.76026.3002.42024.4002.13043.800121.640
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断层三向振动监测数据统计表

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测点组数X方向Y方向Z方向R/m单段齐爆药量Q/kg
Vx/(cm·s-1Fx/HzVy/(cm·s-1Fy/HzVz/(cm·s-1Fz/Hz
下盘10.65253.4620.47258.3920.41836.036188.140
上盘0.23741.7470.42348.8350.24242.105211.340
下盘24.81027.4003.77039.7002.64048.300106.640
上盘3.76026.3002.42024.4002.13043.800121.640
), ArticleFig(id=1241089960191783318, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241089937882280240, language=EN, label=Table 3, caption=

Vibration monitoring data of karst cave

, figureFileSmall=null, figureFileBig=null, tableContent=
测点组数X方向Y方向Z方向R/m单段齐爆药量Q/kg
Vx/(cm·s-1Fx/HzVy/(cm·s-1Fy/HzVz/(cm·s-1Fz/Hz
下方10.96338.4621.05353.3331.35536.364109.940
上方1.51848.1932.66136.6971.48467.797121.340
下方22.22526.6671.28436.6971.55437.383115.540
上方2.79537.7361.72243.0111.92845.977136.940
), ArticleFig(id=1241089960275669399, tenantId=1146029695717560320, journalId=1240670690148397066, articleId=1241089937882280240, language=CN, label=表3, caption=

溶洞三向振动监测数据统计表

, figureFileSmall=null, figureFileBig=null, tableContent=
测点组数X方向Y方向Z方向R/m单段齐爆药量Q/kg
Vx/(cm·s-1Fx/HzVy/(cm·s-1Fy/HzVz/(cm·s-1Fz/Hz
下方10.96338.4621.05353.3331.35536.364109.940
上方1.51848.1932.66136.6971.48467.797121.340
下方22.22526.6671.28436.6971.55437.383115.540
上方2.79537.7361.72243.0111.92845.977136.940
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基于HHT研究断层岩溶对爆破地震波传播的影响
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石义虎 1 , 邓德志 1, 2 , 廖兵 3 , 向小东 3 , 胡世士 4 , 张聪瑞 1 , Adi Nata Satimin Noer REFKY 1
爆破 | 安全与管理 2023,40(2): 199-209
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爆破 | 安全与管理 2023, 40(2): 199-209
基于HHT研究断层岩溶对爆破地震波传播的影响
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石义虎1 , 邓德志1, 2, 廖兵3, 向小东3, 胡世士4, 张聪瑞1 , Adi Nata Satimin Noer REFKY1
作者信息
  • 1.武汉理工大学 资源与环境工程学院,武汉 430070
  • 2.中交四航局第二工程有限公司,广州 510230
  • 3.葛洲坝兴山水泥有限公司,兴山 443000
  • 4.中国葛洲坝集团 水泥有限公司,荆门 448000
  • 石义虎(1998-),男,硕士研究生,矿山安全,(E-mail)

通讯作者:

张聪瑞(1991-),男,高级实验师、博士,矿山安全,(E-mail)
Influence of Fault and Karst on Propagation of Blasting Seismic Wave based on HHT Method
Yi-hu SHI1 , De-zhi DENG1, 2, Bing LIAO3, Xiao-dong XIANG3, Shi-shi HU4, Cong-rui ZHANG1 , Adi Nata Satimin Noer REFKY1
Affiliations
  • 1.School of Resources and Environmental Engineering, Wuhan University of Technology, Wuhan 430070, China
  • 2.The Second Engineering Company of CCCC Fourth Harbor Engineering Co., Ltd., Guangzhou 510230, China
  • 3.Gezhouba Xingshan Cement Co., Ltd., Xingshan 443000, China
  • 4.China Gezhouba Group Cement Co., Ltd., Jingmen 448000, China
出版时间: 2023-06-01 doi: 10.3963/j.issn.1001-487X.2023.02.028
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为研究在露天矿开采中边坡断层及内部岩溶对爆破地震波传播规律的影响,对地震波经过断层和溶岩后的数据变化进行分析。在塘垭石灰岩露天矿山南坡大断层上下盘和北坡+1014 m平台溶洞处布置测点采集爆破后地震波数据,采用Hilbert-Huang变换方法处理原始波形,从三维能量谱、边际谱及瞬时能量谱3个方面对爆破地震波经过断层及岩溶前后的变化进行了分析。结果表明:爆破地震波穿越断层后的能量衰减十分明显,在相同振动持续时间下,最大瞬时能量从1.7×10-5下降到6.0×10-6,前后峰值能量相差约3倍,其中高频频带60~80 Hz能量衰减至断层前1/2,低频能量占比增加,总体地震波能量降低,断层从客观上阻碍了爆破地震波的传播。爆破地震波经岩溶前后的能量幅值差距不大,最大瞬时能量从2.3×10-4下降到1.9×10-4,但穿越岩溶对地震波高频信号的过滤作用比较明显,能量分布更加集中,爆破地震波经过溶洞过程中发生了“鞭梢效应”,经过溶洞后的质点峰值速度略大,其振速放大系数经过计算为:1.10~2.53,频率整体上往低频方向发展,建议加强溶洞上方岩体的支护。

爆破振动信号  /  HHT变换  /  断层  /  岩溶  /  瞬时能量

In order to study the influence of faults and internal karst on the propagation law of blasting seismic waves in open-pit mining, the change of seismic waves passing through faults and karst was analyzed. To collect the seismic data after blasting, monitoring points were arranged at the upper and lower walls of a large fault on the south slope and a karst cave at the+1014 m platform of the north slope of the Tangya limestone open pit mine. The Hilbert Huang transform method was used to process the original waveforms, and the changes of blasting seismic waves passing through the fault and the karst cave were analyzed by the time-spectrum energy spectrum, marginal spectrum, and instantaneous energy spectrum. The results showed that the energy attenuation of blasting seismic waves passing through the fault is very obvious. With the same vibration duration, the maximum instantaneous energy decreased from 1.7 10-5 at the front of the fault to 6.0 10-6 at the rear of the fault which was reduced to about 1/3 of the previous value. Among them, the energy at the rear of the fault in the frequency band of 60~80 Hz attenuated to 1/2 of that at front the fault. At the same time, the energy proportion of lower frequency band increased while the overall seismic wave energy decreased. The fault objectively hinders the propagation of blasting seismic waves. In addition, the energy change of blasting seismic wave was not obvious with the maximum instantaneous energy changed from 2.3 10-4 to 1.9 10-4 when it passed through the karst cave. However, the filtering effect of the high-frequency signal of seismic waves passing through the karst was obvious, and the energy distribution was more concentrated. The peak particle velocity on the rear part of the karst cave was slightly larger with an amplification coefficient of 1.10~2.53. The frequency band of energy generally developed to the low-frequency direction. Therefore, it is suggested to strengthen the support of rock mass above the karst.

blast vibration signal  /  HHT transform  /  fault  /  karst  /  transient energy
石义虎, 邓德志, 廖兵, 向小东, 胡世士, 张聪瑞, Adi Nata Satimin Noer REFKY. 基于HHT研究断层岩溶对爆破地震波传播的影响. 爆破, 2023 , 40 (2) : 199 -209 . DOI: 10.3963/j.issn.1001-487X.2023.02.028
Yi-hu SHI, De-zhi DENG, Bing LIAO, Xiao-dong XIANG, Shi-shi HU, Cong-rui ZHANG, Adi Nata Satimin Noer REFKY. Influence of Fault and Karst on Propagation of Blasting Seismic Wave based on HHT Method[J]. Blasting, 2023 , 40 (2) : 199 -209 . DOI: 10.3963/j.issn.1001-487X.2023.02.028
炸药爆破过程中会引发爆破地震波的产生并朝周围岩体扩散,爆破地震波表现为体波和面波两种形式,并造成岩体质点发生振动[1,2]。由于爆破地震波含有丰富的信息,因此提取和分析爆破振动信号中的信息是研究爆破振动效应非常重要的手段[3]
为了从非平稳的爆破振动信号中获得有用的信息,HHT时频分析技术在该领域被广泛采用[4,5]。宋肖龙采用EEMD-HHT变换方法消除高频波和杂波的干扰[6],使得信号特征更易提取。胡刚利用HHT理论分析隧道围岩结构爆破累积损伤效应[7,8],通过对振速波形面积与理论面积进行对比,从瞬时能量角度验证了该方法的可行性。杨长卫利用HHT谱研究地震振动作用下的边坡变形和破坏[9]。李学龙基于HHT方法对岩体单轴加载时的声发射波形特征进行分析[10],Hilbert三维能量谱更为明显地表明了失稳破坏临界阶段的能量低频集聚。费聿鹏利用HHT能量谱分析长城附近隧道开挖的爆破能量衰减规律[11]
综上所述,经验模态分解(EMD)和HHT频谱分析从三维图谱、边际谱和瞬时能量谱对爆破振动信号进行分析,该分析方法具有自适应性、完整性、重构能力[12,13]。HHT频谱分析方法广泛用于矿山爆破领域,但针对露天矿山边坡断层及岩溶对爆破地震波传播规律方面研究较少。塘垭石灰岩露天矿采用中深孔台阶爆破方式对矿体进行开采,但矿山岩体节理裂隙发育异常,且受多断层多溶洞的影响,对爆破地震波的传播规律有着不同程度的影响,因此在爆破地震波经过的断层和溶洞附近设立监测点,获取矿山爆破振动数据,对数据进行HHT频谱分析,从三维图谱、边际谱和瞬时能量谱对爆破振动信号进行解读,研究断层及岩溶对爆破地震波的传播影响。
EMD-HHT分析法不再以单一的波形基底为前提,而是以实际测量的波形数据依靠自身时间变量进行频谱分解。因此利用Matlab软件编译EMD分解程序,导入爆破振动波形数据进行EMD分解处理,运行代码后将获得有限个互不相同的IMF分量。提取其中的优势频段对IMF分量进行信号重构,同时通过编译好的Hilbert变换程序,对重构后的信号进行Hilbert变换,频率幅值转化为边际谱、时频谱和瞬时能量谱等,用以研究信号本身的属性特质,综合反映时间、频率及能量等信息。EMD分解和Hilbert变换式该方法的主要两个重点步骤。
(1)EMD分解
假设条件:所有的爆破振动信号全部由若干个不完全一致的IMF分量合成。
满足条件:每一个IMF分量的极值点和与相交零点的个数差值为一。随机时间线上的振动信号函数的极大极小值的包络线均值为零。实现流程如下:
求信号函数ht)的极大极小值和其上、下包络线的均值blt),两式相减得到新序列l1t),该新系列用于剔除低频信号,即
对上述算法循环k次操作,直至l1t)无法进行再次分解代表其均值无限接近于0。其中分解出的第一个IMF即为最高频率的分量函数。再去掉一个剩余分量信号m1t),即
m1t)为计算对象,多次进行上述方法,获得第2个IMF分量g2t),循环进行n次计算,计算出n个IMF分量。循环就此完成,得出
上式mnt)代表残余分量,直观表示出原始函数的平均趋势。每个IMF分量g1t),g2t),…,gnt)具有从高到低频率的分布特征。
(2)Hilbert变换
对时间函数Tt)进行希尔伯特变换,C是Cauchy主值。
Tt)和Ht)形成复共轭时即可获得一个分解信号
其中
将瞬时频率定义为,对每一个IMF分量进行希尔伯特变换求解Hilbert谱
由式(9)可求解出振幅与时频之间的相互关系,进而对希尔伯特谱对时间进行积分求解出边际谱
下一步把振幅的平方对频率积分求解出瞬时能量谱
塘垭水泥灰岩矿是葛洲坝兴山水泥公司的自备矿山,于2009年建成投产,资源量合计3036.36万t。见图1。矿山为山坡露天矿山,设计范围内最高开采标高+1062 m,最低开采标高+880 m,根据矿山地形条件、矿层赋存情况结合矿区开采现状,设计采用自上而下的水平分层法开采,台段高12 m。该矿山爆破设计采用中深孔松动爆破,炸药选用2#岩石乳化炸药,药卷直径70 mm,炸药密度ξ=1.16 g/cm3。具体孔网参数见表1
采用逐孔起爆方式,选用非电导爆管起爆系统,为保证孔内炸药可靠起爆及形成稳定爆轰,每个炮孔内放两个起爆雷管。炮孔直径为90 mm共50个炮孔,炮孔深度为12 m;单孔装药量40 kg,其中孔底部装4 kg乳化炸药,其余装36 kg大包岩石炸药。同一排的炮孔孔间毫秒延期时间为50 ms,相邻排的炮孔孔间毫秒延期时间为110 ms。见图2
本次爆破振动监测设备采用成都中科测控生产的TC-4850爆破振动记录仪,通过上述孔网参数及起爆方式分析,爆破振动记录仪的监测参数设置如下:采样率设置为8 K,采样时间设置为2 s和采样延时设置为-100 ms。上述参数设置可保证有效信号的可靠触发和完整记录爆破振动信号。
针对矿山边坡大断层分布情况,在南坡一大断层上下盘布设爆破振动监测点。爆破地震波先经过断层下盘监测点最后到达断层上盘监测点。监测实施图如图3所示。测点的现场实际监测结果共两组(六个)爆破振动信号数据。从表2来看,当爆破地震波从断层下盘传播至断层上盘时,三个方向的质点峰值振速和主频均有不同程度的下降,详见表2
针对矿山边坡岩溶分布情况,在北坡+1014 m出露溶洞处布设爆破振动监测点。爆破地震波先经过溶洞下方岩体监测点最后到达溶洞上方岩体监测点。监测实施图如图4所示。在矿山爆破现场共测的两组(四个)爆破振动数据,详见表3
(1)EMD分解
矿山存在大断层对爆破地震波的传播规律特性有着不同程度的影响,因此研究断层对爆破地震波的传播影响十分有必要。爆破振动信号能量随时间频率变化的研究在地震波跨断层传播特性的研究中起着非常重要的作用。通常,在工程爆破中对地震波的切向、径向和垂直方向的三维信号进行监测。在中国和瑞典等西方国家,爆破振动强度的指标采用质点竖直方向振速峰值。由于垂直分量具有很强的代表性,因此本分析选用第一组数据的竖直方向(Z方向)的分量的爆破振动信号作为分析对象,其原始波形如图5所示。
图6所示,原始信号在穿越断层之前和之后经过EMD分解产生了11个和10个IMF分量。从穿越断层之前和之后的第一个IMF来看,波长比较短且密集程度高,从第二个至最后一个IMF的变化过程来看,波长呈慢慢变长趋势且最后一个趋于平直,这表明EMD的分解规律是从高频至低频,,最后一个为残差IMF。在EMD分解中没有单一的基底函数,因此每个IMF分量的提取都是由信号的自身特征设定的,这就是它的适应性,使信号分析具有很大的通用性和多功能性。与此不同的是,像小波和傅里叶这样的替代性分析方法必须预先设置基底函数,基底函数本身有一定的局限性,因此各种结果的选择并不对等,一般来说甚至有很大的区别,此外还不可避免地引入了频率扩散。
大多数被EMD分解的IMF分量具有明确的物理意义。从断层下盘IMF分量图来看,第一个IMF分量频率最高,所占能量非常小,表明它是观测中引入的高频噪声,在分析中需要去噪。后来的IMF分量的频率逐步降低,表明在爆破地震波的整个传播过程中,高频被大幅度衰减,但第二个至第八个IMF分量的振幅较第一个IMF分量大幅度增加,并包含了信号的大部分能量,属原始信号的优势频段,因此边坡主要受到这些分量造成的受震影响。此外,第九个和第十个IMF分量是分解后频率更小的分量,这可能是信号固有的或由不同情况引起的。最后一个IMF代表着爆破测振仪的散失抑或是测振信号微弱的衰减趋势。这意味着EMD方法是一种新的主成分分析方法,它可以提取信号本身固有的从高到低的所有模态函数,并分解出许多IMF分量,集中了原始信号中最重要的信息。同理,从断层上盘IMF分量图来看,第一个至第七个IMF分量是进行研究的主要对象,它几乎囊括了爆破振动信号的全部能量,属于爆破振动信号中的主导振动频率,又称为优势频率。最后一个IMF并没有有用的分析价值和意义,可以被忽略。由于重建的信号波能排除干扰因素,更符合和便于研究爆破振动波的真实特性规律,将断层下盘的IMF分量去掉第一、九、十、十一个IMF分量和断层上盘的IMF分量去掉第十个IMF分量,进行爆破振动数据EMD重构,以便后续的HHT频谱分析。见图7
(2)Hilbert变换和Hilbert谱分析
利用Matlab编译的程序将处理后的爆破振动信号进行希尔伯特变换得到边际谱分析图、瞬时能量图和频率时间-能量三维谱图,利用相应图谱对爆破振动信号分析对比。
断层上下盘边际谱图(图8)将直观地分析爆破振动信号的各个频率组成,并准确地反映每个频率部分的能量振幅。从断层上下盘边际谱图中可以看出,断层下盘爆破振动频率主要集中在20~40 Hz,累计能量范围为0.2×10-5~4.0×10-5,且含有多个子频带;但是经过断层后边际谐波峰减少,子频带变少,断层上盘爆破振动频率主要集中在20~30 Hz,积累的能量范围变为0.1×10-5~4.0×10-5,但是低频能量占比增加,穿越断层后高频频带60~80 Hz积累的能量范围衰减约至1/2,能量分布更加集中。
从断层上下盘瞬时能量图中(图9)分析得出,能量随时间的变化表明,这是由导爆管引起的爆破结果,图中波峰起伏高点处瞬时能量强烈,断层下盘的波形信号起伏变化在0.10~0.70 s的区域内,断层上盘的波形起伏变化在0.05~0.68 s的区域内,断层下盘信号达到瞬时能量最高点处时间为0.40 s左右,此处最大的瞬时能量约为1.7×10-5。跨越断层后瞬时能量达到最大值的时间在0.38 s左右,此处最大的瞬时能量约为6.0×10-6。将两组信息进行比对得出,跨越断层前的最大瞬时能量是跨越断层后最大瞬时能量的3倍左右。
图10所示,图中的能量是指归一化的能量,它可以直观地复现振动信号的瞬时形态特征,并全面、清晰地复现信号能量随频率和时间的特殊分布。可以清楚看到断层下层爆破地震波的能量幅值大于断层上盘,这表明断层具有减震作用,很大程度上减弱衰退了爆破地震波的能量,这种作用效果是十分明显的。通过分析其原因表明,推断出产生这种现象的原因是由于断层夹层中充填了大量的断层泥和高度风化的破碎物质,而正是这些物质对爆破地震波的传播起到了阻滞作用,造成其振幅下降。断层下盘地震波能量主要集中在20~40 Hz的中频段,断层上盘则分散在20~30 Hz的各个频段,说明断层对爆破地震波的高频信号具有过滤作用,频率整体往低频上发展。
(1)EMD分解
本次分析选用第一组数据的竖直方向的分量的爆破振动信号作为分析对象,其原始波形如图11所示。
对穿越溶洞前后原始信号进行EMD分解,可得到10和11个IMF分量。见图12
从溶洞下方岩体IMF分量图来看,第一个至第九个IMF分量是进行研究的主要对象,并包含了信号的大部分能量,属原始信号的优势频段,因此边坡主要受到这些分量造成的受震影响。而最后一个IMF代表着爆破测振仪的散失抑或是测振信号微弱的衰减趋势,没有实际研究的价值和意义,可以忽略。同理,从溶洞上方岩体IMF分量图来看,第三个至第九个IMF分量是进行研究的主要对象。由于重建的信号波更符合爆破振动波的实际情况,将溶洞下方岩体的IMF分量去掉第十IMF分量和溶洞上方岩体的IMF分量去掉第一、二、十和十一个IMF分量,进行爆破振动数据EMD重构。见图13
(2)Hilbert变换和Hilbert谱分析
利用Matlab编译的程序将处理后的爆破振动信号进行希尔伯特变换得到边际谱分析图、瞬时能量图和频率时间-能量三维谱图,利用相应图谱对爆破振动信号分析对比。
由边际谱图(图14)可以看出,溶洞下方岩体的爆破振动频率主要集中分布在20~40 Hz,累计能量区域范围为0.1×10-4~0.9×10-4,但是经过溶洞后边际谐波峰减小,频带变窄,溶洞上方岩体爆破振动频率主要集中在20~50 Hz,积累的能量范围变为0.1×10-4~1.4×10-4,能量衰减并不明显,能量分布更加集中,能量幅值在频域上分布有所缩减。
从瞬时能量图中(图15)分析得出,溶洞下方岩体的波形范围在0.15~0.68 s区域内,穿越溶洞后的波形范围在0.18~0.70 s区域内,溶洞下方岩体信号达到最大值瞬时能量时间在0.42 s左右,最大值瞬时能量约为2.3×10-4;穿越溶洞后达到最大值瞬时能量时间在0.65 s左右,最大值瞬时能量约为1.9×10-4。从数据中可以看出,穿越溶洞后的最大值瞬时能量衰减并不明显。
该信号的三维Hilbert谱如图16所示。可以清楚看到溶洞下方岩体爆破地震波的能量幅值大于溶洞上方岩体,但是总体能量差距不大,说明溶洞对爆破地震波能量的影响并不显著。从监测数据中可以看出,由于爆破地震波经过溶洞后的质点峰值速度要比经过溶洞前略大,有可能是爆破地震波经过溶洞过程中发生了“鞭梢效应”,其振速放大系数经过计算为:1.10~2.53。溶洞下方岩体地震波能量主要集中在20~40 Hz的低频段,且一部分能量也集中在子频带80~120 Hz高频段;溶洞上方岩体则集中在20~50 Hz的频段,子频带变少。穿越溶洞后对地震波高频信号的过滤作用比较明显,频率整体上往低频方向发展。
通过利用HHT信号分析技术,对穿越断层和岩溶前后的岩体进行爆破地震波信号分析,揭示了爆破振动信号在穿越断层和岩溶前后的规律。
(1)断层对爆破地震波能量的衰减作用十分明显,爆破地震波穿越断层后能量幅值下降较多,瞬时峰值能量锐减到1/3。
(2)溶洞对爆破地震波能量的衰减作用不明显,对地震波高频信号的过滤作用比较明显,溶洞下方岩体的爆破地震波的能量振幅相比溶洞上方岩体的差值并不大,主要能量衰减来自高频信号段。
(3)爆破地震波经过溶洞过程中发生了“鞭梢效应”,经过溶洞后的质点峰值速度要比经过溶洞前大,其振速放大系数经过计算为:1.10~2.53。
(4)断层在客观上阻碍了爆破地震波的传播,岩溶对爆破地震波能量的衰减作用效果并不显著且岩溶上方岩体在爆破振动的影响下更加容易失稳。
  • 国家自然科学基金(52174087)
  • 中央高校基本科研业务费专项资金资助(项目批准号2021IVA134)
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2023年第40卷第2期
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doi: 10.3963/j.issn.1001-487X.2023.02.028
  • 接收时间:2023-01-04
  • 首发时间:2026-03-18
  • 出版时间:2023-06-01
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  • 收稿日期:2023-01-04
基金
国家自然科学基金(52174087)
中央高校基本科研业务费专项资金资助(项目批准号2021IVA134)
作者信息
    1.武汉理工大学 资源与环境工程学院,武汉 430070
    2.中交四航局第二工程有限公司,广州 510230
    3.葛洲坝兴山水泥有限公司,兴山 443000
    4.中国葛洲坝集团 水泥有限公司,荆门 448000

通讯作者:

张聪瑞(1991-),男,高级实验师、博士,矿山安全,(E-mail)
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2种不同金属材料的力学参数

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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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