高精度拉冬变换方法及应用
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摘要
拉冬变换在地震勘探领域有广泛的应用,如压制多次波、纵横波分离、地震偏移及反演等。本文简要介绍线 性、抛物线和双曲线拉冬变换方法,以及在此基础上进一步发展起来的稀疏约束反演和自适应波场分离算法; 并通过合成数据模型比较了各种方法在扫描速度、分辨能力和波场恢复方面的优势和不足;将这些方法应用到 地面地震的多次波压制和井间地震的管波消除,取得了令人满意的效果。
Random transform has been widely used in seismic exploration, for example, suppression of multiple,separation of P- and S-waves,seismic migration and inversion etc. The paper briefly introduced linear, hyperbolic and parabolic Random transform methods as well as sparse-constrained inversion and adaptive wave separation algorithm further developed on that basis; analyzed their advantages and disadvantages in the respects of scanning velocity, recognizing ability and wavefield restoration by synthetic data. It is shown a satisfactory effect by using these methods to suppress multiple in surface seismic exploration and tube wave in cross-hole seismic exploration.
Random transform has been widely used in seismic exploration, for example, suppression of multiple,separation of P- and S-waves,seismic migration and inversion etc. The paper briefly introduced linear, hyperbolic and parabolic Random transform methods as well as sparse-constrained inversion and adaptive wave separation algorithm further developed on that basis; analyzed their advantages and disadvantages in the respects of scanning velocity, recognizing ability and wavefield restoration by synthetic data. It is shown a satisfactory effect by using these methods to suppress multiple in surface seismic exploration and tube wave in cross-hole seismic exploration.
引文
[1] Diebold J B and Stoffa P L. The traveltime equation tau-p mapping and inversion of common midpoint data. Geophysics, 1981,46:238-254
[2] Thorson J R and Claerbout J F. Velocity-stack and slant-stack stochastic inversion. Geophysics, 1985,50: 2727-2741
[3] Hampson D. Inverse velocity stacking for multiple estimation. Expanded Abstracts of 56th SEG Ann Internat Mtg,1986,422-424
[4] Maeland E. Disruption of seismic images by the parabolic Radon transform. Geophysics,2003,68(3): 1060-1064
[5] Hu Tianyue et al. Multiple attention using beamform-ing onshore and offshore China. The Leading Edge, 2002,(9):906-910
[6]朱生旺等．用抛物线拉冬变换稀疏解分离和压制多次 波．石油地球物理勘探,2002,37(2):110-115
[7] Sacchi M and Ulrych T. High-resolution velocity gathers and offset space reconstruction. Geophysics, 1995, 60(4):1169-1177
[8] Wang Yanghua. Multiple attenuation : coping with the spatial truncation effect in the Radon transform domain. Geophysical Prospecting,2003,51:75-87
[2] Thorson J R and Claerbout J F. Velocity-stack and slant-stack stochastic inversion. Geophysics, 1985,50: 2727-2741
[3] Hampson D. Inverse velocity stacking for multiple estimation. Expanded Abstracts of 56th SEG Ann Internat Mtg,1986,422-424
[4] Maeland E. Disruption of seismic images by the parabolic Radon transform. Geophysics,2003,68(3): 1060-1064
[5] Hu Tianyue et al. Multiple attention using beamform-ing onshore and offshore China. The Leading Edge, 2002,(9):906-910
[6]朱生旺等．用抛物线拉冬变换稀疏解分离和压制多次 波．石油地球物理勘探,2002,37(2):110-115
[7] Sacchi M and Ulrych T. High-resolution velocity gathers and offset space reconstruction. Geophysics, 1995, 60(4):1169-1177
[8] Wang Yanghua. Multiple attenuation : coping with the spatial truncation effect in the Radon transform domain. Geophysical Prospecting,2003,51:75-87
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