平滑算子在地震叠前深度域成像中的应用
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摘要
对波动方程叠前深度偏移的成像条件和平滑算子进行了概述,推导了用平滑算子对成像条件进行平滑的公式,给出了同一平滑函数在不同平滑参数控制下以及不同平滑函数在相同平滑参数控制下的成像结果。模型试算结果表明:在合适的平滑参数控制下,平滑后的成像结果得到了明显改善;在相同的平滑参数控制下,Gaussian窗平滑算子平滑后得到的成像结果要好。
The imaging condition and smoothing operator of wave equation prestack depth migration were introduced.The formula used smoothing operator to smooth imaging conditon was derived.The results of the same smoothing function with different smoothing parameters and different smoothing functions with the same smoothing parameter were given.The model test results show that the images are improved when the smoothing parameter is appropriate.With the same smoothing parameter,Gaussian smoothing operator can get relatively good imaging result.
The imaging condition and smoothing operator of wave equation prestack depth migration were introduced.The formula used smoothing operator to smooth imaging conditon was derived.The results of the same smoothing function with different smoothing parameters and different smoothing functions with the same smoothing parameter were given.The model test results show that the images are improved when the smoothing parameter is appropriate.With the same smoothing parameter,Gaussian smoothing operator can get relatively good imaging result.
引文
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[2]CLAERBOUT J F.Toward a unified theory of reflectormapping[J].Geophysics,1971,36:467-481.
[3]朱振宇,刘洪,裴江云,等.成像条件在波动方程叠前深度偏移中的应用[J].中国海上油气,2004,16(3):177-187.ZHU Zhen-yu,LIU Hong,PEI Jiang-yun,et al.An ap-plication of imaging condition to pre-stack depth migrationof wave equation[J].China Offshore Oil and Gas,2004,16(3):177-187.
[4]ANTOINE G,ALEJANDRO V,DIMITRI B.Robust im-aging condition for shot-profile migration[J/OL].SEGExpanded Abstracts,2006,25:2519-2523.[2007-04-20]http://link.aip.org/link/?SEGEAB/25/2519/1.
[5]李振春.地震成像理论与方法[M].东营:石油大学出版社,2004:14-15.
[6]VALENCIANO A,BIONDI B.2D deconvolution imagingcondition for shot-profile migration[J/OL]SEG Expand-edAbstracts,2003,22:1059-1062[2007-04-20]http://link.aip.org/link/?SEGEAB/22/1059/1.
[7]ZHANG Y G,ZHANG G,BLEISTEIN N.Theory oftrue-amplitude one way wave equations and true-ampli-tude common-shot migration[J].Geophysics,2005b,70(4):1-10.
[8]ANTOINE G,ALEJANDRO V,DIMITRI B.Smoothingimaging condition for shot-profile migration[J].Geophys-ics,2007,72(3):149-154.
[9]马在田.地震成像技术[M].北京:石油工业出版社,1989:206-207.
[10]匡斌,王华忠,陈世军,等.傅里叶有限差分深度偏移成像方法研究和应用[J].石油地球物理勘探,2001,36(6):698-703.KUANG Bin,WANG Hua-zhong,CHENShi-jun,et al.Study and application of Fourier finite-difference depthmigration method[J].OGP,2001,36(6):698-703.
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