Conventional parabolic radon transform method cannot attenuate the multiples ideally and causes spatial alias for the short spread and sparse sampling seismic data. After analyzing the papers by Sacchi, Mauricio, Todd Mojesky and some other researchers. on multiples attenuation by using parabolic radon transform method, this paper describes the theory of high resolution parabolic radon transform method. The result shows that the high resolution parabolic radon transform method can efficiently and effectively realize spatial anti-alias multiples suppression after the new method is applied to the model data and real seismic data respectively; meanwhile, this method can overcome the limitation of insufficient samples and short offset.
[1] 张兴岩,朱江梅,杨薇,等.海洋资料多次波组合衰减技术及应用[J].物探与化探,2011,35(4):511-515.[2] 王跃,许庆国.时间域拉东变换的实现及其改进[J].物探与化探,2011,35(6):860-864.[3] 石颖,柯璇,王维红.一种加权抛物Radon变换地震波场重建方法[J].物探与化探,2012,36(5):846-850.[4] 鲁娥,李庆春.混合Radon变换地震噪声压制的应用[J].物探与化探,2013,37(4):706-710.[5] Hampson D.Inverse velocity stacking for multiple elimination[J].Journal of the Canadian Society of Exploration Geophysics,1986,22:44-45.[6] Kostov C.Toeplitz structure in Slant-Stack inversion[C]//Expanded Abstracts of 60th Annual Internat SEG Mtg,1990:1968-1621.[7] Yanghua W.Multiple attenuation coping with the spatial truncation effect in the Radon transform domain[J].Geophysical Prospecting,2003,51(1):75-87.[8] Ng M,Perz M.High resolution Radon transform in the t-x domain using "intelligent" peioritization of the Gauss-Seidel estimation sequence[C]//Expanded Abstracts of 74th SEG Mtg,2004:2160-2163[9] Sacchi M D,Ulrych T J.High resolution velocity gathers and offset-space reconstruction[J].Geophysics,1995,60:1169-1177.[10] Sacchi M D,Ulrych T J.Improving resolution of Radon operators using a model re-weighted least squares procedure[J].Journal of Seismic Exploration,1995,4:315-328.[11] Sacchi M D.Fast high resolution parabolic Radon transform[C]// Expanded Abstracts of 69th Annual Internat SEG Mtg,1999:1477-1480.[12] Philippe Herrmann,Todd Mojesky,et al.De-aliased,High-Resolution Radon transforms[C]// Expanded Abstracts of 70th Annual Internat SEG Mtg,2000:1953-1956.[13] Trad D O,Ulrych T J,Sacchi M D.Accurate interpolation with high-resolution time-variant Radon transforms[J].Geophysics,2002,67(2):644-656.[14] Wood J C,Daniel T.Radon transformation of time-frequency distribution for analysis of multicomponent signals[J].IEEE Transactions on Signal Processing,1994,42(11):3166-3178.[15] 熊登,赵伟,张剑锋.混合域高分辨率抛物Radon变换及在衰减多次波中的应用[J].地球物理学报,2009,52(4):1068-1077.[16] Cristina M C,Sacchi M D.Enhanced resolution in Radon domain using the shifted hyperbola equation[C]// Expanded Abstracts of 75th Annual Internat SEG Mtg,2005:2277-2280.[17] Thehne U,Sacchi D M,Sahmit R D.Least-squares Local Radon transform for dip-dependent GPR image decomposition[J].Journal of Applied Geophysics,2006,59:224-235.[18] 刘喜武,刘洪,李幼铭.高分辨率Radon变换方法及其在地震信号处理中的应用[J].地球物理学进展,2004,19(1),8-15.[19] 张军华,吕宁,雷凌,等.抛物线拉冬变换消除多次波的应用要素分析[J].石油地球物理勘探,2004,39(4):399-405.[20] Albert Tarantola.模型参数估计的反问题理论与方法[M].北京:科学出版社,2009.