›› 2016, Vol. 37 ›› Issue (4): 1-1.doi: 10.7657/XJPG20160416

• 论文 •    

面波衰减处理中小波函数的选择方法

杨顺辽a,桂志先b,张正炳a   

  1. (长江大学 a.电子信息学院,湖北 荆州 434023;b.地球物理与石油资源学院,武汉 430100)
  • 出版日期:2019-01-01 发布日期:1905-07-15

Method for Wavelet Function Selection During SurfaceWave Attenuation Processing

YANG Shunliaoa, GUI Zhixianb, ZHANG Zhengbinga   

  1. (Yangtze University, a.School of Electronics and Information , Jingzhou, Hubei 434023, China;b.School of Geophysics and Petroleum Resources, Wuhan, Hubei 430100, China)
  • Online:2019-01-01 Published:1905-07-15

摘要: 在讨论小波域面波衰减处理原理的基础上,总结出了在面波衰减处理中小波分解结果应具有良好分离性的要求,根据支集长度决定局部化特性,消失矩决定低频低波数分量的能量集中程度,分析出在面波衰减处理中应选取短支集长度、高消失矩及具有对称性的小波函数的原则,得出了Symmlet小波函数是最优小波的结论。并通过对实际地震资料和人工合成地震记录面波衰减处理结果中面波衰减程度以及对反射波影响程度的分析,验证了所提出的小波函数选取方法的正确性。

Abstract: Based on the discussions on the principles of surface wave attenuation processing in wavelet domain, it is concluded that good separability of wavelet decomposition result is needed during surface wave attenuation processing. Because support length decides local features and vanishing moment decides the energy concentration degree of low?frequency and low?wave?number components, a symmetrical wavelet function principle that short support length and high vanishing moment should be chosen is determined, and Symmlet wavelet function is considered as the optimal wavelet. Surface?wave attenuation degree and influence of reflection wave are analyzed regarding surfacewave attenuation processing results obtained from actual seismic data and synthetic seismogram, which validates the method for wavelet function selection

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