时间域拉东变换的实现及其改进
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摘要
介绍了时间域拉东正反变换的基本原理及该项技术在地震数据处理中的应用。以Ng和Perz的算法为基础,以开发地震勘探处理与解释系统为实例,解决了实验中遇到的拉东正变换时收敛精度、反变换数据无损还原和截断信号引起的能量扩散、低信噪比情况下的滤波等问题,进一步研究了改进算法在其他地形下应用问题。
Based on a brief description of the basic principles of the time domain Radon transformation and inverse Radon transform,this paper studies the application of this technology to seismic data processing.Based on the algorithm designed by Ng and Perz in 2004 and the problems encountered in the seismic processing and interpretation system,this paper resolves the accuracy regarding the convergence precision of the time domain Radon transformation,the demand of non-destructive reduction,the energy spread problem caused by truncated signal and the signal's filtering problem under low S/N,and gives the applications of the improved algorithm in other terrains for further research.
Based on a brief description of the basic principles of the time domain Radon transformation and inverse Radon transform,this paper studies the application of this technology to seismic data processing.Based on the algorithm designed by Ng and Perz in 2004 and the problems encountered in the seismic processing and interpretation system,this paper resolves the accuracy regarding the convergence precision of the time domain Radon transformation,the demand of non-destructive reduction,the energy spread problem caused by truncated signal and the signal's filtering problem under low S/N,and gives the applications of the improved algorithm in other terrains for further research.
引文
[1]罗敏.τ-p变换在表面法波动勘测中的研究与应用[D].福州:福州大学,2005.
[2]Carswell A,Tang R,Dillistone C,et al.A new method of field sep-aration in VSP data processing[C]//Expanded Abstracts of54th Annual International SEG Mtg,1984:40-42.
[3]Thorson J R,Claerbout J F.Velocity-stack and slant stack stochas-tic inversion[J].Geophysics,1985,50(12):2727-2741.
[4]Beylkin G.Discrete Radon Transform[J].IEEE Trans Acoust,Speech and Signal Processing,1987,35(2):162-172.
[5]Kostov C.Toeplitz structure in slant-stack inversion[C]//Expand-ed Abstracts of60th Annual Internat SEG Mtg,1990:1618-1621.
[6]Bradshaw A,Ng M.Multiple attenuation by parabolic stack Radon transform:Geo-X Systems internal paper,1987.
[7]Kelamis P G,Chiburis E F,Shahryar S.Radon multiple elimina-tion,a practical methodology for land data[C]//60th Ann.Inter-nat Mtg,Soc Expl Geophys,Expanded Abstracts,1990:1611-1613.
[8]Trad D.Implementations and applications of the sparse Radon transform:Ph D Thesis[D].The University of British Columbia,2001.
[9]Foster D J,Mosher C C.Suppression of multiple reflections using the Radon transform[J].Geophysics,1992,57:386-395.
[10]Hugonnet P,Canadas G.Aliasing in the parabolic Radon transform[C]//65th Ann Internat Mtg,Soc Expl Geophys,Expanded Ab-stracts,1995:1366-1369.
[11]Sacchi M D,Ulrych T J.High-resolution velocity gathers and offset space reconstruction[J].Geophysics,1995,60:1169-1177.
[12]Cary P.The simplest discrete Radon transform[C]//68th Ann In-ternat Mtg,Soc Expl Geophys,Expanded Abstracts,1998:1999-2002.
[13]Sacchi M D,Porsani M.Fast high-resolution parabolic Radon trans-form[C]//69th Ann Mtg,Soc Expl Geophys,Expanded Ab-stracts,1999:1477-1480.
[14]Oppert S K,Brown R J.Improved Radon transforms for filtering of coherent noise,CREWES Research Report,14[R].2002.
[15]Ng M,Perz M.High resolution Radon transform in the t-x domain u-sing"intelligent"prioritization of the Gauss-Seidel estimation se-quence[C]//74th Ann Internat Mtg,Soc Expl Geophys,Expand-ed Abstracts,2004:2160-2163.
[16]Stoffa P L,Buhl P,Diebold J B,et al.Direct mapping of seismic data to the domain of intercept time and ray parameter?A plane-wave decomposition[J].Geophysics,1981,46:255-267.
[17]Cao Zhizhong.Analysis and application of the Radon transform[D].Calgary:University of Calgary,2006-12.
[2]Carswell A,Tang R,Dillistone C,et al.A new method of field sep-aration in VSP data processing[C]//Expanded Abstracts of54th Annual International SEG Mtg,1984:40-42.
[3]Thorson J R,Claerbout J F.Velocity-stack and slant stack stochas-tic inversion[J].Geophysics,1985,50(12):2727-2741.
[4]Beylkin G.Discrete Radon Transform[J].IEEE Trans Acoust,Speech and Signal Processing,1987,35(2):162-172.
[5]Kostov C.Toeplitz structure in slant-stack inversion[C]//Expand-ed Abstracts of60th Annual Internat SEG Mtg,1990:1618-1621.
[6]Bradshaw A,Ng M.Multiple attenuation by parabolic stack Radon transform:Geo-X Systems internal paper,1987.
[7]Kelamis P G,Chiburis E F,Shahryar S.Radon multiple elimina-tion,a practical methodology for land data[C]//60th Ann.Inter-nat Mtg,Soc Expl Geophys,Expanded Abstracts,1990:1611-1613.
[8]Trad D.Implementations and applications of the sparse Radon transform:Ph D Thesis[D].The University of British Columbia,2001.
[9]Foster D J,Mosher C C.Suppression of multiple reflections using the Radon transform[J].Geophysics,1992,57:386-395.
[10]Hugonnet P,Canadas G.Aliasing in the parabolic Radon transform[C]//65th Ann Internat Mtg,Soc Expl Geophys,Expanded Ab-stracts,1995:1366-1369.
[11]Sacchi M D,Ulrych T J.High-resolution velocity gathers and offset space reconstruction[J].Geophysics,1995,60:1169-1177.
[12]Cary P.The simplest discrete Radon transform[C]//68th Ann In-ternat Mtg,Soc Expl Geophys,Expanded Abstracts,1998:1999-2002.
[13]Sacchi M D,Porsani M.Fast high-resolution parabolic Radon trans-form[C]//69th Ann Mtg,Soc Expl Geophys,Expanded Ab-stracts,1999:1477-1480.
[14]Oppert S K,Brown R J.Improved Radon transforms for filtering of coherent noise,CREWES Research Report,14[R].2002.
[15]Ng M,Perz M.High resolution Radon transform in the t-x domain u-sing"intelligent"prioritization of the Gauss-Seidel estimation se-quence[C]//74th Ann Internat Mtg,Soc Expl Geophys,Expand-ed Abstracts,2004:2160-2163.
[16]Stoffa P L,Buhl P,Diebold J B,et al.Direct mapping of seismic data to the domain of intercept time and ray parameter?A plane-wave decomposition[J].Geophysics,1981,46:255-267.
[17]Cao Zhizhong.Analysis and application of the Radon transform[D].Calgary:University of Calgary,2006-12.
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