基于多模式的多重滤波方法提取瑞雷面波频散曲线
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摘要
为了验证多重滤波方法对两道地震信号提取频散曲线的有效性,通过设计层状与倾斜介质模型,采用交错网格高阶有限差分法进行正演模拟,利用F-K变换分离出时间—空间域不同模态瑞雷面波记录,再利用多重滤波法对频散曲线进行提取,将求取的相速度和群速度与相移法、互相关法提取结果并与理论值进行对比分析。结果表明:利用多重滤波法提取瑞雷面波频散曲线是可行的,且能够提取到高阶模式频散曲线。多重滤波法在低频段更具有稳定性,横向分辨率更高。最后通过实例证实了多重滤波方法的实际效果。
In order to verify the validity of the multiple filtering method for extracting dispersion curves of two seismic signals,the finite difference method of high-order staggered grid is used to carry out forward modeling by designing layered and inclined media models in this paper.F-K conversion is used to separate time-space domain of different modes of Rayleigh wave recorded,and then the dispersion curve is extracted by using the multiple filter.Finally,the extracted phase velocity and group velocity are compared with the re-sults and the theoretical values extracted by phase shift method and cross-correlation method.The results show that it is feasible to extract the Rayleigh wave dispersion curve with multiple filters and to extract the dispersion curve of high order mode.Multi-filter method in the low frequency band has more stability and higher horizontal resolution.Lastly,an example is given to demonstrate the practical effect of the multiple filtering method.
In order to verify the validity of the multiple filtering method for extracting dispersion curves of two seismic signals,the finite difference method of high-order staggered grid is used to carry out forward modeling by designing layered and inclined media models in this paper.F-K conversion is used to separate time-space domain of different modes of Rayleigh wave recorded,and then the dispersion curve is extracted by using the multiple filter.Finally,the extracted phase velocity and group velocity are compared with the re-sults and the theoretical values extracted by phase shift method and cross-correlation method.The results show that it is feasible to extract the Rayleigh wave dispersion curve with multiple filters and to extract the dispersion curve of high order mode.Multi-filter method in the low frequency band has more stability and higher horizontal resolution.Lastly,an example is given to demonstrate the practical effect of the multiple filtering method.
引文
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[9]林丹丹,熊章强,张大洲.基于多模式分离的S变换与小波变换提取频散曲线对比分析[J].物探与化探,2014,38(3):544-551.
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[11]张大洲,顾汉明,熊章强,等.基于多模态分离的面波谱分析方法[J].地球科学——中国地质大学学报,2009,34(6):1 012-1 018.
[12]周青云,何永峰,廖桂生.利用多重滤波方法提取面波频散曲线[J].西北地震学报2006,46(1):844-849.
[13]M Osama Al-Hunaidi.Analysis of dispersed multi-mode signals of the SASW method using the multiple filter/crosscorrelation technique[J].Soil Dynamics and Earthquake Engineering,1994,13(1):13-24.
[14]Mourad Karray,Guy Lefebvre.Techniques for mode separation in Rayleigh wave testing[J].Soil Dynamics and Earthquake Engineering,2009,29(4):607-619.
[2]田飞.基于小波变换的裂缝识别[J].工程地球物理学报,2016,13(1):14-19.
[3]赵秀丽,丁晓峰,于帅兵,等.瞬态瑞雷波法在滑坡工程勘察中的应用[J].工程地球物理学报,2016,13(2):227-230.
[4]张大洲,练小聪,杨威,等.基于多模式分离的S变换瑞雷波频散曲线提取[J].中南大学学报(自然科学版),2015,6(8):2 950-2 956.
[5]柴有华,卢应发,刘明贵.表面波谱分析影响因素研究[J].岩土力学,2004,24(5):347-353.
[6]柴有华,韦昌富,白世伟.表面波有效相速度近似分析方法.岩土力学,2008,29(1):87-93.
[7]周竹生,杨明凯,陈友善.基于含可变因子广义S变换的瑞雷面波频散曲线提取方法[J].物探化探计算技术,2012,34(5):518-522
[8]马见青,李庆春,樊金生,等.基于S变换的瑞利面波频散分析[J].地球科学学报,2010,32(3):319-323.
[9]林丹丹,熊章强,张大洲.基于多模式分离的S变换与小波变换提取频散曲线对比分析[J].物探与化探,2014,38(3):544-551.
[10]张大洲,熊章强,秦臻.基于Fourier变换的瑞雷波分离提取及实例分析[J].中南大学学报(自然科学版),2010,41(2):643-648.
[11]张大洲,顾汉明,熊章强,等.基于多模态分离的面波谱分析方法[J].地球科学——中国地质大学学报,2009,34(6):1 012-1 018.
[12]周青云,何永峰,廖桂生.利用多重滤波方法提取面波频散曲线[J].西北地震学报2006,46(1):844-849.
[13]M Osama Al-Hunaidi.Analysis of dispersed multi-mode signals of the SASW method using the multiple filter/crosscorrelation technique[J].Soil Dynamics and Earthquake Engineering,1994,13(1):13-24.
[14]Mourad Karray,Guy Lefebvre.Techniques for mode separation in Rayleigh wave testing[J].Soil Dynamics and Earthquake Engineering,2009,29(4):607-619.