爆破地震信号的分形盒维数值分析
|
摘要
在岩石场地进行了单段深孔爆破试验,获得了具有该场地特征的爆破地震波传播规律。从理论上推导了爆破地震波振动强度衰减系数K和α与分形盒维数D以及盒维数计算中-lg(kδ) lgNkδ的双对数拟合直线方程参数b的关系。采用了适用于爆破地震波曲线双尺度特征的矩形盒模型计算了爆破地震波的盒维数D。数据分析表明:在同一场地条件下,爆破地震波的盒维数比较稳定,且爆破地震波振动强度的场地衰减指数α与D为两倍的关系;药量和距离对盒维数拟合直线方程参数b的影响明显,且其关系与场地衰减指数α对爆破地震波峰值强度的作用相近。通过数据分析,获得了参数b与爆破地震波振动峰值A的关系式:b=0.689×lgA+3.0669,其相关系数为0.93。
Blasting experiments in deep-holes have been carried out on a rock site,and the resulting blasting seismic waves were measured. The relationship among the blasting seismic wave attenuation parameters K, α, the fractal box dimension D and the fitting parameter b in the formula -lg(kδ)-lgN_(kδ) for the box dimension computation.The box dimension of measured seismic wave signals were calculated with the double-scaled rectangle box model method. The results in this paper show that the blasting seismic wave box dimensions value D distributes in a small range.It is concluded that the box dimension D is a characteristic parameter related to the test field conditions, and approximately α≈2D. The effects of explosive charge and the measurement distance on the parameter b are obvious. The fitting relationship between parameter b and the amplitude of blasting seismic wave A is b=0.689×lgA+3.669.
Blasting experiments in deep-holes have been carried out on a rock site,and the resulting blasting seismic waves were measured. The relationship among the blasting seismic wave attenuation parameters K, α, the fractal box dimension D and the fitting parameter b in the formula -lg(kδ)-lgN_(kδ) for the box dimension computation.The box dimension of measured seismic wave signals were calculated with the double-scaled rectangle box model method. The results in this paper show that the blasting seismic wave box dimensions value D distributes in a small range.It is concluded that the box dimension D is a characteristic parameter related to the test field conditions, and approximately α≈2D. The effects of explosive charge and the measurement distance on the parameter b are obvious. The fitting relationship between parameter b and the amplitude of blasting seismic wave A is b=0.689×lgA+3.669.
引文
[1] 张济忠.分形[M].北京:清华大学出版社,1995
[2] 李后强,汪富泉.分形理论及其在分子科学中的应用[M].北京:科学出版社,1997.
[3] 谢和平.分形应用中的数学基础与方法[M].北京:科学出版社,1997.
[4] 杨军,金乾坤,黄凤雷.岩石爆破理论模型及数值计算[M].北京:科学出版社,1999.
[5] MaragosP.FractalAspectsofSpeechSignals:DimensionandInterpolation[R].ADA249102,1992.
[6] MaragosP,SunFK.Measuringthefractaldimensionofsignals:Morphologicalcoversanditerativeoptimization[J].IEEETransactiononSignalProcessing,1993,41(1):108-121.
[7] 张朝晖,黄惟一.振动波形的分形判别及特征提取[J].东南大学学报,1999,29(4):6-10.ZHANGZhao hui,HUANGWei yi.Fractaldeterminationandfeatureextractionfromvibrationwaveform[J].JournalofSoutheastUniversity,1999,29(4):6-10.
[8] BukkapatnamS,KumaraSRT,LakhtakiaA.FractalEstimationofFlankWearinTurning[R].DAAH04 96 10082.USA,1996.
[9] WornellGW,OppenheimAV.Estimationoffractalsignalsfromnoisymeasurementsusingwavelets[J].IEEETransactiononSignalProcessing,1992,40(3):611-623.
[10] 娄建武,龙源,徐全军.人工模拟爆破震动信号及其频谱特性检验[J].工程爆破,2001,7(1):7-11.LOUJian wu,LONGYuan,XUQuan jun.Simulationofblastingvibrationsignalandverificationofitsfrequencyspectrum[J].EngineeringBlasting,2001,7(1):7-11.
[2] 李后强,汪富泉.分形理论及其在分子科学中的应用[M].北京:科学出版社,1997.
[3] 谢和平.分形应用中的数学基础与方法[M].北京:科学出版社,1997.
[4] 杨军,金乾坤,黄凤雷.岩石爆破理论模型及数值计算[M].北京:科学出版社,1999.
[5] MaragosP.FractalAspectsofSpeechSignals:DimensionandInterpolation[R].ADA249102,1992.
[6] MaragosP,SunFK.Measuringthefractaldimensionofsignals:Morphologicalcoversanditerativeoptimization[J].IEEETransactiononSignalProcessing,1993,41(1):108-121.
[7] 张朝晖,黄惟一.振动波形的分形判别及特征提取[J].东南大学学报,1999,29(4):6-10.ZHANGZhao hui,HUANGWei yi.Fractaldeterminationandfeatureextractionfromvibrationwaveform[J].JournalofSoutheastUniversity,1999,29(4):6-10.
[8] BukkapatnamS,KumaraSRT,LakhtakiaA.FractalEstimationofFlankWearinTurning[R].DAAH04 96 10082.USA,1996.
[9] WornellGW,OppenheimAV.Estimationoffractalsignalsfromnoisymeasurementsusingwavelets[J].IEEETransactiononSignalProcessing,1992,40(3):611-623.
[10] 娄建武,龙源,徐全军.人工模拟爆破震动信号及其频谱特性检验[J].工程爆破,2001,7(1):7-11.LOUJian wu,LONGYuan,XUQuan jun.Simulationofblastingvibrationsignalandverificationofitsfrequencyspectrum[J].EngineeringBlasting,2001,7(1):7-11.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心