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.
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.
WANG Yue, XU Qing-guo. THE IMPLEMENTATION AND IMPROVEMENT OF THE TIME DOMAIN RADON TRANSFORMATION. Geophysical and Geochemical Exploration, 2011, 35(6): 860-864.
[2] Carswell A,Tang R,Dillistone C,et al.A new method of field separation in VSP data processing//Expanded Abstracts of 54th Annual International SEG Mtg,1984:40-42.
[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//Expanded Abstracts of 60th 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 elimination, a practical methodology for land data//60th Ann. Internat Mtg, Soc Expl Geophys, Expanded Abstracts,1990:1611-1613.
[8] Trad D.Implementations and applications of the sparse Radon transform: Ph D Thesis.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//65th Ann Internat Mtg,Soc Expl Geophys,Expanded Abstracts,1995:1366-1369.
[11] Sacchi M D,Ulrych T J.High-resolution velocity gathers and offset space reconstruction[J].Geophysics,1995,60:1169-1177.
[13] Sacchi M D,Porsani M.Fast high-resolution parabolic Radon transform//69th Ann Mtg, Soc Expl Geophys,Expanded Abstracts,1999:1477-1480.
[14] Oppert S K,Brown R J.Improved Radon transforms for filtering of coherent noise, CREWES Research Report, 14.2002.
[15] Ng M,Perz M.High resolution Radon transform in the t-x domain using"intelligent" prioritization of the Gauss-Seidel estimation sequence//74th Ann Internat Mtg, Soc Expl Geophys, Expanded 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.Calgary:University of Calgary,2006-12.