A WAVEFIELD RECONSTRUCTION APPROACH BASED ON WEIGHTED PARABOLIC RADON TRANSFORM
SHI Ying1,2, KE Xuan1, WANG Wei-hong3
1. School of Earth Sciences, Northeast Petroleum University, Daqing 163318, China; 2. Postdoctor Workstation of Daqing Oilfield, Daqing 163453, China; 3. Exploration and Development Research Institute of Daqing Oilfield Corp. Ltd. , Daqing 163712, China
Abstract:A weighted parabolic Radon transform approach is proposed based on the basic principle and computation method of conventional band-limited forward and inverse parabolic radon transform.The proposed algorithm is applied to prestack seismic wavefield restoration and reconstruction,such as the missing offset interpolation and anti-alias resampling in the offset direction;The weight coefficient is determined by seismic data in x-τ domain,i.e.,the weight coefficient varies in different iteration processes.For the seismic data from uniform sampling,this paper gives the reconstruction result of missing near offset extrapolation and resampling for anti-alias seismic data.The test results demonstrate that the presented weighted parabolic radon transform is effective for seismic wavefield reconstruction,with the characteristics of robustness,high precision and high efficiency.
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.
SHI Ying, KE Xuan, WANG Wei-hong. A WAVEFIELD RECONSTRUCTION APPROACH BASED ON WEIGHTED PARABOLIC RADON TRANSFORM. Geophysical and Geochemical Exploration, 2012, 36(5): 846-850.
[1] Verschuur D J.Surface-related multiple elimination,an inversion approach[D].Delft University of Technology,1991.[2] Kabir M M N,Verschuur D J.Restoration of missing offsets by parabolic Radon Transform[J].Geophysical Prospecting,1995,43:347-368.[3] 黄新武,吴律,牛滨华.基于抛物线拉东变换的地震道重构[J].中国矿业大学学报,2003,32(5):534-539.[4] 王维红,裴江云,张剑锋.加权抛物Radon变换叠前地震数据重建[J].地球物理学报,2007,50 (3):851-859.[5] Hampson D.Inverse velocity stacking for multiple elimination[J].Journal of the Canadian Society of Exploration geophysicists,1986,22:44-55.[6] Kostov C.Toeplitz structure in slant-stack inversion:60th Annual Internat[C]//60th Annual Internat Mtg Soc Expl Geophys,Expanded abstracts,1990:1618-1621.[7] Trad D,Ulrych J,Sacchi M.Accurate interpolation with high-resolution time-variant Radon transforms[J].Geophysics,2002,67(2):644-656.[8] Thorson R,Claerbout J.Velocity-stack and slant-stack stochastic inversion[J].Geophysics,1985,50(4):2727-2741.[9] Darche G.Spatial interpolation using a fast parabolic Radon transform[C]//60th Annual Internat Mtg Soc Expl Geophys,Expanded abstracts,1990:1647-1650.