分形插值对共炮集记录叠前逆时偏移的影响

英文篇名：Influence of fractal interpolation on common shots pre-stack reverse-time migration
中文刊名：地震学报
英文刊名：Acta Seismologica Sinica
作者：李信富 ; 张美根
英文作者：Li Xinfu1 ; 2) ; Zhang Meigen3)1)Key Laboratory of Geo-detection(China University of Geosciences) ; Ministry of Education ; Beijing 100083 ; China2)School of Geophysics and Information Technology ; China University of Geosciences ; Beijing 100083 ; China3)Institute of Geology and Geophysics ; Chinese Academy of Sciences ; Beijing 100029 ; China
中文关键词：显式分形插值 ; 各向异性弹性波 ; 叠前逆时偏移 ; 重建
英文关键词：explicit fractal interpolation ; anisotropic seismic waves ; pre-stack reverse-time migration ; reconstruction
出版日期：2009-07-15
机构：地下信息探测技术与仪器教育部重点实验室(中国地质大学,北京);中国地质大学地球物理与信息技术学院中国;中国科学院地质与地球物理研究所;
年：2009
期：04
出版单位：地震学报

摘要

利用分形插值方法对稀疏采样的地震记录进行了插值加密处理,并对原始记录和分形插值重建记录进行了叠前逆时偏移处理.数值实验表明,分形插值重建的地震图是原始地震图的良好近似,而分形插值叠前偏移剖面是原始记录偏移剖面的良好近似,二者的分辨率几乎一样.利用分形插值重建技术可以在节约经济成本的情况下,得到地下结构的高精度成像结果.
Interpolation reconstruction has been made to the sparse sampling data by using explicit fractal interpolation method,and the pre-stack reverse-time migration has been made for the original and the reconstructed seismic data.Numerical experiments we did demonstrate that the seismic section and seismograms reconstructed with explicit fractal interpolation method resemble the original ones very well.The waveform of missing traces could be well estimated and the amplitudes of the interpolated traces are also a good approximation of the original ones.The imaging sections obtained from the fractal interpolated data resemble the original ones satisfactorily,and both have fine resolution.Under the condition of low economic cost,even with the sparse sampling,we can still acquire high accurate imaging of the Earth's interior structure by means of the explicit fractal interpolation.

引文

李信富,李小凡.2008.复杂介质地震波传播的褶积微分算子数值模拟[J].地震学报,30(4):377--382.
    刘喜武,刘洪,刘彬.2004.反假频非均匀地震数据重建方法研究[J].地球物理学报,47(2):299--305.
    孟小红,刘国峰,周建军.2006.大间距地震数据重建方法研究[J].地球物理学进展,21(3):687--691.
    张美根,王妙月.2001.各向异性弹性波有限元叠前逆时偏移[J].地球物理学报,44(5):711--719.
    Claerbout J F(著).1985.许云(译).1991.地震成像理论及方法[M].北京:石油工业出版社:115.
    Geoltrain S,Brac J.1993.Can weimage complex structures withfirst-arrival traveltime-[J].Geophysics,58(4):564--575.
    Kabir M M N,Verschuur D J.1995.Restoration of missing offsets by parabolic radon transformation[J].GeophysProsp,43:347--368.
    Li,Li.2008.Seismic data reconstruction with fractal interpolation[J].Chinese Journal of Geophysics,51(4):855--861.
    Porsani MJ.1999.Seismic trace interpolation using half-step prediction filters[J].Geophysics,64:1461--1467.
    Ronen J.1987.Wave equation trace interpolation[J].Geophysics,52:973--984.