基于优化系数的有限差分叠前深度偏移方法
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摘要
针对复杂陡倾构造及横向速度剧烈变化区地震资料的成像问题,本文提出了切比雪夫有理逼近优化系数有限差分叠前深度偏移方法.文中采用切比雪夫有理逼近求取有限差分频散方程的优化系数,进而改进有限差分叠前深度偏移方法,实现陡倾构造及横向速度变化剧烈地区地震资料的成像。通过对15°及45°方程与精确频散方程的相对误差的计算,以及对Marmousi模型进行偏移成像,证明在陡倾构造及横向速度变化剧烈的地区,应用切比雪夫有理逼近优化系数的有限差分叠前深度偏移方法具有更好的成像效果。
To solve the problem of seismic data imaging in the areas with complex structure and strong lateral velocity variation,an improved finite difference prestack depth migration method with rational Chebyshev approximation optimal coefficient is proposed in this paper.Using novel rational Chebyshev approximation to optimize the coefficient of difference frequency dispersion equation,seismic data imaging in the areas with complex structure and strong lateral velocity variation are improved.The relative error between the 15° and 45° equation and precise frequency dispersion equation are calculated and Marmousi model is migrated and imaged.Both numerical simulation and field data show that this improved method obtains better seismic images in the areas with high dip structure and strong lateral velocity variation than those conventional methods.
引文
[1]罗银河,刘江平,俞国柱.叠前深度偏移.物探与化探,2004,28(6):540~545Luo Yinhe,Liu Jiangping Yu Guozhu.A review onthe pre-stack depth migration.Geophysical and Geo-chemical Exploration,2004,28(6):540~545
    [2]程玖兵,王华忠,马在田.频率—空间域有限差分法叠前深度偏移.地球物理学报,2001,44(3):389~395Cheng Jiubing,Wang Huazhong,Ma Zaitian.Pre-stack depth migration with finite difference method infrequency-space domain.Chinese J Geophys,2001,44(3):389~395
    [3]张建伟.变速介质三维地震叠前深度域成像与应用研究[博士论文].四川成都:成都理工大学,2004:10~29
    [4]李文,白晶.基于切比雪夫有理逼近的分数阶微积分算子的离散化.大连交通大学学报,2010,31(4):45~49Li Wen,Bai Jing.Discretization of the fractional orderdifferentiator/integrator based on the rational cheby-shev approximation.Journal of Dalian Jiaotong Uni-versity,2010,31(4):45~49
    [5]王有新.应用地震数据处理.北京:石油工业出版社,2009

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