基于分形理论的爆破地震信号盒维数研究
|
摘要
基于分形理论,针对爆破地震信号的传播规律和特征,建立了其分形盒维数模型,应用这一模型计算出在岩石场地进行深孔爆破试验时所采集的爆破地震信号的分形盒维数值D。通过分析所得的分形盒维数值D的数理意义及其与场地介质的关系,研究爆破地震信号的分形特征。结果表明,爆破震动信号的分形盒数值D可作为描述爆破地震信号一个新的重要参数,该参量能够反映爆破地震波传递介质岩体性质的系统信息。
Based on the characteristics of the blasting seismic wave and the fractal theory, this paper proposes a fractal box dimension model. By using the test data of the deep-hole blasting experiments carried out on a rock site, the fractal box dimension values D of blasting seismic signals is calculated according to this model. An analysis on the relationship between box dimension values D and the medium characteristics shows that the fractal box dimension value D of the blasting seismic wave can be used as a new important parameter to describe the blasting seismic wave. It reflects some important information concerning the properties of rock, the medium of the blasting seismic wave.
Based on the characteristics of the blasting seismic wave and the fractal theory, this paper proposes a fractal box dimension model. By using the test data of the deep-hole blasting experiments carried out on a rock site, the fractal box dimension values D of blasting seismic signals is calculated according to this model. An analysis on the relationship between box dimension values D and the medium characteristics shows that the fractal box dimension value D of the blasting seismic wave can be used as a new important parameter to describe the blasting seismic wave. It reflects some important information concerning the properties of rock, the medium of the blasting seismic wave.
引文
[1]DOWDING C H.Blasting vibration monitoring and control[M].Englewood Cliffs:Prentice-Hall,1985:1-5.
[2]龙源,冯长根,徐全军,等.爆破地震波在岩石介质中传播特性与数值计算研究[J].工程爆破,2000,6(3):1-7.LONG Yuan,FENG Changgen,XU Quanjun,et al.Study on propagation characteristics of blasting seismic waves in a rock medium and numerical calculation[J].Engineering Blasting,2000,6(3):1-7.
[3]龙源,娄建武.工程爆破中的建筑物振动监测[J].解放军理工大学学报,2000,1(5):58-62.LONG Yuan,LOU Jianwu.Measuring and analysis of structure's response vibration in Engineering Blasting[J].Journal of PLA University of Science and Technology,2000,1(5):58-62.
[4]娄建武,龙源,徐全军.小波分析在结构爆破振动响应能量分析法中的应用[J].世界地震工程,2001,17(1):64-68.LOU Jianwu,LONG Yuan,XU Quanjun.Study on the wavelet analysis applied in structure response to blasting vibration[J].World Information on Earthquake Engineering,2001,17(1):64-68.
[5]娄建武,龙源,徐全军.人工模拟爆破振动信号及其频谱特性检验[J].工程爆破,2001,7(1):7-11.LOU Jianwu,LONG Yuan,XU Quanjun.Simulating artificially and testifying characteristic of frequency spectrum of blasting seismic wave[J].Engineering Blasting,2001,7(1):7-11.
[6]娄建武,徐全军,龙源.影响核岛新浇混凝土强度的爆破振动速度阈值研究[J].世界地震工程,2003,19(2):163-167.LOU Jianwu,XU Quanjun,LONG Yuan.Research on threshold for influence of blasting vibration velocity over the fresh concrete quality of the nuclear power station[J].World Information on Earthquake Engineering,2003,19(2):163-167.
[7]娄建武,龙源,方向.基于反映谱分析的爆破震动破坏评估研究[J].爆炸与冲击,2003,23(1):41-46.LOU Jianwu,LONG Yuan,FANG Xiang.Study on blasting vibration damage based on response spectrum[J].Explosion and Shock Waves,2003,23(1):41-46.
[8]WORNELL G W,OPPENHEIN A V.Estimation of fractal signals from noisy measurements using wavelets[J].IEEE Transaction on Signal Processing,1992,40(3):611-623.
[9]MARAGOS P,SUN F-K.Measuring the fractal dimension of signals:morphological covers and iterative optimization[J].IEEE Transaction on Signal Processiong,1993,41(1):108-121.
[10]MARAGOS P.Fractal aspects of speech signals:Dimension and interpolation[R].ADA249102,1992.
[11]SHIU Y Y,CHUN K F.Fractal dimension estimation and noise filtering using Hough transforms[J].Signal Processing,2004,29(4):907-917.
[12]杨国伟.用P(δ)=P0δ1-D计算实际分形体维数的不确定性[J].科学通报,1992(10):953-956.Yang Guowei.Uncertainty of practice fractal dimension calculation with P(δ)=P0δ1-D.Science Information[J],1992(10):953-956.
[13]Falconer K J.Fractal geometry:Mathematical founda-tions and applications[M].UK:Bristol,1989:78-88.
[14]林鸿益,李映雪.分形论——奇异性探索[M].北京:北京理工大学出版社,1992:67-70.LIN Hongyi,LI Yingxue.Fractal theory:Discovery of fan-tasticality[M].Beijing:Beijing Institute of Technology Press,1992:67-70.
[15]张济忠.分形[M].北京:清华大学出版社,1995:122-126.ZHANG Jizhong.Fractal[M].Beijing:Tsinghua University Press,1995:122-126.
[16]訾艳阳.基于非平稳信号特征提取原理的实用诊断技术研究[M].西安:西安交通大学出版社,2000.ZI Yanyang.The research of practical diagnosing tech-nique based on the principle of distilling characteristic of non-placid signal[M].Xi'an:Xi'an Jiaotong University Press,2000.
[17]谢和平,张永平,宋晓秋.分形几何——数学基础与应用[M].重庆:重庆大学出版社,1991:37-42.XIE Heping,ZHANG Yongping,SONG Xiaoqiu.Fractal geometry:Foundation and application of mathematics[M].Chongqing:Chongqing University Press,1991:37-42.
[18]张奇.工程爆破动力学分析及其应用[M].北京:煤炭工业出版社,1997:70-76.ZHANG Qi.Analysis and application of engineering blasting dynamics[M].Beijing:China Coal Industry Pub-lishing House,1997:70-76.
[19]杨善元.岩石爆破动力学基础[M].北京:煤炭工业出版社,1991:162-164.YANG Shanyuan.Foundation of rock blasting dynamics[M].Beijing:China Coal Industry Publishing House,1991:162-164.
[2]龙源,冯长根,徐全军,等.爆破地震波在岩石介质中传播特性与数值计算研究[J].工程爆破,2000,6(3):1-7.LONG Yuan,FENG Changgen,XU Quanjun,et al.Study on propagation characteristics of blasting seismic waves in a rock medium and numerical calculation[J].Engineering Blasting,2000,6(3):1-7.
[3]龙源,娄建武.工程爆破中的建筑物振动监测[J].解放军理工大学学报,2000,1(5):58-62.LONG Yuan,LOU Jianwu.Measuring and analysis of structure's response vibration in Engineering Blasting[J].Journal of PLA University of Science and Technology,2000,1(5):58-62.
[4]娄建武,龙源,徐全军.小波分析在结构爆破振动响应能量分析法中的应用[J].世界地震工程,2001,17(1):64-68.LOU Jianwu,LONG Yuan,XU Quanjun.Study on the wavelet analysis applied in structure response to blasting vibration[J].World Information on Earthquake Engineering,2001,17(1):64-68.
[5]娄建武,龙源,徐全军.人工模拟爆破振动信号及其频谱特性检验[J].工程爆破,2001,7(1):7-11.LOU Jianwu,LONG Yuan,XU Quanjun.Simulating artificially and testifying characteristic of frequency spectrum of blasting seismic wave[J].Engineering Blasting,2001,7(1):7-11.
[6]娄建武,徐全军,龙源.影响核岛新浇混凝土强度的爆破振动速度阈值研究[J].世界地震工程,2003,19(2):163-167.LOU Jianwu,XU Quanjun,LONG Yuan.Research on threshold for influence of blasting vibration velocity over the fresh concrete quality of the nuclear power station[J].World Information on Earthquake Engineering,2003,19(2):163-167.
[7]娄建武,龙源,方向.基于反映谱分析的爆破震动破坏评估研究[J].爆炸与冲击,2003,23(1):41-46.LOU Jianwu,LONG Yuan,FANG Xiang.Study on blasting vibration damage based on response spectrum[J].Explosion and Shock Waves,2003,23(1):41-46.
[8]WORNELL G W,OPPENHEIN A V.Estimation of fractal signals from noisy measurements using wavelets[J].IEEE Transaction on Signal Processing,1992,40(3):611-623.
[9]MARAGOS P,SUN F-K.Measuring the fractal dimension of signals:morphological covers and iterative optimization[J].IEEE Transaction on Signal Processiong,1993,41(1):108-121.
[10]MARAGOS P.Fractal aspects of speech signals:Dimension and interpolation[R].ADA249102,1992.
[11]SHIU Y Y,CHUN K F.Fractal dimension estimation and noise filtering using Hough transforms[J].Signal Processing,2004,29(4):907-917.
[12]杨国伟.用P(δ)=P0δ1-D计算实际分形体维数的不确定性[J].科学通报,1992(10):953-956.Yang Guowei.Uncertainty of practice fractal dimension calculation with P(δ)=P0δ1-D.Science Information[J],1992(10):953-956.
[13]Falconer K J.Fractal geometry:Mathematical founda-tions and applications[M].UK:Bristol,1989:78-88.
[14]林鸿益,李映雪.分形论——奇异性探索[M].北京:北京理工大学出版社,1992:67-70.LIN Hongyi,LI Yingxue.Fractal theory:Discovery of fan-tasticality[M].Beijing:Beijing Institute of Technology Press,1992:67-70.
[15]张济忠.分形[M].北京:清华大学出版社,1995:122-126.ZHANG Jizhong.Fractal[M].Beijing:Tsinghua University Press,1995:122-126.
[16]訾艳阳.基于非平稳信号特征提取原理的实用诊断技术研究[M].西安:西安交通大学出版社,2000.ZI Yanyang.The research of practical diagnosing tech-nique based on the principle of distilling characteristic of non-placid signal[M].Xi'an:Xi'an Jiaotong University Press,2000.
[17]谢和平,张永平,宋晓秋.分形几何——数学基础与应用[M].重庆:重庆大学出版社,1991:37-42.XIE Heping,ZHANG Yongping,SONG Xiaoqiu.Fractal geometry:Foundation and application of mathematics[M].Chongqing:Chongqing University Press,1991:37-42.
[18]张奇.工程爆破动力学分析及其应用[M].北京:煤炭工业出版社,1997:70-76.ZHANG Qi.Analysis and application of engineering blasting dynamics[M].Beijing:China Coal Industry Pub-lishing House,1997:70-76.
[19]杨善元.岩石爆破动力学基础[M].北京:煤炭工业出版社,1991:162-164.YANG Shanyuan.Foundation of rock blasting dynamics[M].Beijing:China Coal Industry Publishing House,1991:162-164.
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