瑞雷波勘探的f-k域能量最大模方法
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摘要
瑞雷波的频散特性已在地震勘探及工程勘察等领域得到了大量应用,但目前存在一些问题亟待解决,例如当层状介质中存在低速层时,提取的频散曲线会发生"之"字形回折,利用传统的基阶模反演不能得到正确的结果.本文主要针对"之"字形频散曲线问题,提出f-k域能量最大模的概念,并成功地将最大模应用于频散曲线的f-k域提取及对地层结构的反演分析.通过反演模拟以及实测数据发现,最大模方法可以较好地解决基阶模反演所不能解决的"之"字形频散曲线反演问题.
The dispersion of Rayleigh wave has a wide application in seismic exploration and engineering investigation,but there are still some problems not to be solved.For example,when low velocity layers exist in the medium,the dispersion curve obtained from seismogram is a 'zigzag' curve,and the fundamental mode inversion method is not applicable to deal with it.To understand the 'zigzag' dispersion curve appeared in the application,the max-mode(maximal amplitude in frequency-wavenumber domain) is defined and applied to the measure of dispersion curve and the inversion analysis of stratum.From the inversion simulation and measured data,it can be seen that the max-mode method can solve the problem of the inversion of 'zigzag' dispersion curves effectively.
The dispersion of Rayleigh wave has a wide application in seismic exploration and engineering investigation,but there are still some problems not to be solved.For example,when low velocity layers exist in the medium,the dispersion curve obtained from seismogram is a 'zigzag' curve,and the fundamental mode inversion method is not applicable to deal with it.To understand the 'zigzag' dispersion curve appeared in the application,the max-mode(maximal amplitude in frequency-wavenumber domain) is defined and applied to the measure of dispersion curve and the inversion analysis of stratum.From the inversion simulation and measured data,it can be seen that the max-mode method can solve the problem of the inversion of 'zigzag' dispersion curves effectively.
引文
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[9]张碧星,肖伯勋,杨文杰,等.瑞利波勘探中“之”形频散曲线的形成机理及反演研究[J].地球物理学报,2000,43(4):558-567.
[10]张碧星,鲁来玉,鲍光淑.瑞利波勘探中“之”字形频散曲线研究[J].地球物理学报,2002,45(2):263-274.
[11]袁亚湘,孙文瑜.最优化理论与方法[M].北京:科学出版社,1997:219-240.
[12]凡友华,刘家琦,肖柏勋.计算瑞利面波频散曲线的快速矢量传递算法[J].湖南大学学报,2002,29(5):25-30.
[2]凡友华,刘家琦.层状介质中瑞利面波的频散研究[J].哈尔滨工业大学学报,2001,33(5):577-581.
[3]HASKELL N A.The dispersion of surface waves onmultilayered media[J].Bull Seism Soc Am,1953,43:17-34.
[4]KNOPOFF L.Amatrix method for elastic wave problems[J].Bull Seism Soc Am,1964,54:431-438.
[5]ABO-ZENA A.Dispersion function computations for un-limited frequency values[J].Geophys J R Astr Soc,1979,58:91-105.
[6]MENKE W.Comment on‘Dispersion function computa-tions for unlimited frequency values’by anas abo-zena[J].Geophys J R Astr Soc,1979,95:315-323.
[7]KENNETT B L N.Reflection rays and reverberations[J].Bull Seism Soc Am,1974,64:1685-1696.
[8]KENNETT B L N,KERRY N J.Seismic waves in astratified halfspace[J].Geophys J R Astr Soc,1979,57:557-583.
[9]张碧星,肖伯勋,杨文杰,等.瑞利波勘探中“之”形频散曲线的形成机理及反演研究[J].地球物理学报,2000,43(4):558-567.
[10]张碧星,鲁来玉,鲍光淑.瑞利波勘探中“之”字形频散曲线研究[J].地球物理学报,2002,45(2):263-274.
[11]袁亚湘,孙文瑜.最优化理论与方法[M].北京:科学出版社,1997:219-240.
[12]凡友华,刘家琦,肖柏勋.计算瑞利面波频散曲线的快速矢量传递算法[J].湖南大学学报,2002,29(5):25-30.
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