共偏移距道集平面波叠前时间偏移与反偏移
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摘要
在Dubrulle提出的共偏移距道集频率波数域叠前时间偏移的基础上,提出了共偏移距道集频率波数域叠前时间偏移与反偏移一对共轭算子.讨论了该对算子的变孔径实现过程.并把该对共轭算子串连起来实现了叠前地震数据的规则化处理.指出最小二乘意义下的叠前地震数据规则化会得到更好的效果.v(z)介质模型和Marmousi模型的数值试验结果表明,方法理论正确、有效.
Based on the common offset prestack time migration in f-k domain given by Dubrulle, we deduce a pair of common-offset plane-wave prestack time migration operator and its reverse operator.The common-offset plane-wave prestack time migration is carried out with a-variable migration aperture in order to give a better imaging result.Further,the pair of the crossconjugate operators is eascated to implement the seismic data regularization process.It is mentioned that the least square seismic data regularization approach will greatly improve the numerical results.Numerical examples of the v(z) model and Marmousi model demonstrate that the approach is correct and effective.
Based on the common offset prestack time migration in f-k domain given by Dubrulle, we deduce a pair of common-offset plane-wave prestack time migration operator and its reverse operator.The common-offset plane-wave prestack time migration is carried out with a-variable migration aperture in order to give a better imaging result.Further,the pair of the crossconjugate operators is eascated to implement the seismic data regularization process.It is mentioned that the least square seismic data regularization approach will greatly improve the numerical results.Numerical examples of the v(z) model and Marmousi model demonstrate that the approach is correct and effective.
引文
[ 1 ] Claerbout J F. Earth Soundings Analysis; Processing Versus Inversion. Blackwell Scientific Publications, 1992
[ 2 ] Hubral P, Schleicher J, Tygel M. A unified approach to 3D seismic reflection imaging, PART Ⅰ: Basic concepts. Geophysics, 1996 ,61:742 ～ 758
[ 3 ] Bleistein N, Cohen J, Stockwell J W Jr. Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion (Chapter 7) . Springer, 2000
[ 4 ] Ronen J. Wave-equation trace interpolation. Geophysics, 1987,52:973～984
[ 5 ] Canning A, Gardner G H F. Regularizing 3D data sets with DMO. Geophysics,1996,63:686～691
[ 6 ] Biondi B, Formel S, Chemingui N. Azimuth moveout for 3-D prestack imaging. Geophysics, 1998,63:574～588
[7] Bagaini C, Spagnolini U. 2-D continuation operators and their applications. Geophysics, 1996,61:1 846 ～ 1 858
[ 8 ] Formel S. Theory of differential offset continuation. Geophysics,2003,68:718～ 732
[ 9 ] Formel S. Seismic reflection data interpolation with differential offset and shot continuation. Geophysics, 2003,68:733～744
[10] Dubrulle A A. Numerical methods for the migration of constant-offset sections in homogeneous and horizontally layered media. Geophysics, 1983 ,48 :1195～ 1203
[11] Gazdag J. Wave equation migration with the phase shift method. Geophysics, 1978． 43: 1 342～ 1351
[12] Ekren B B, Ursin B. True-amplitude frequency-wavenumber constant-offset migration. Geophysics. 1 999 ,64:915 ～924
[13] 王棣,王华忠,马在田等.频率波数域共偏移距叠前时间偏移方法.石油物探,2004,43(1) :8～10 Wang D, Wang H Z, Ma Z T, et al. Frequency-wavenumber constant-offset prestack time migration. Geophysical Prospecting for Petroleum (in Chinese) , 2004 ,43( 1) :8 ～10
[14] Levin S A. Discussion on: “Dip limitations on migrated sections as a function of line length and recording time” by H. B. Lynn and S. Deregowski (Geophysics, 46, 1392 ～1397) . Geophysics, 1984 .49 :1804 ～ 1805
[ 2 ] Hubral P, Schleicher J, Tygel M. A unified approach to 3D seismic reflection imaging, PART Ⅰ: Basic concepts. Geophysics, 1996 ,61:742 ～ 758
[ 3 ] Bleistein N, Cohen J, Stockwell J W Jr. Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion (Chapter 7) . Springer, 2000
[ 4 ] Ronen J. Wave-equation trace interpolation. Geophysics, 1987,52:973～984
[ 5 ] Canning A, Gardner G H F. Regularizing 3D data sets with DMO. Geophysics,1996,63:686～691
[ 6 ] Biondi B, Formel S, Chemingui N. Azimuth moveout for 3-D prestack imaging. Geophysics, 1998,63:574～588
[7] Bagaini C, Spagnolini U. 2-D continuation operators and their applications. Geophysics, 1996,61:1 846 ～ 1 858
[ 8 ] Formel S. Theory of differential offset continuation. Geophysics,2003,68:718～ 732
[ 9 ] Formel S. Seismic reflection data interpolation with differential offset and shot continuation. Geophysics, 2003,68:733～744
[10] Dubrulle A A. Numerical methods for the migration of constant-offset sections in homogeneous and horizontally layered media. Geophysics, 1983 ,48 :1195～ 1203
[11] Gazdag J. Wave equation migration with the phase shift method. Geophysics, 1978． 43: 1 342～ 1351
[12] Ekren B B, Ursin B. True-amplitude frequency-wavenumber constant-offset migration. Geophysics. 1 999 ,64:915 ～924
[13] 王棣,王华忠,马在田等.频率波数域共偏移距叠前时间偏移方法.石油物探,2004,43(1) :8～10 Wang D, Wang H Z, Ma Z T, et al. Frequency-wavenumber constant-offset prestack time migration. Geophysical Prospecting for Petroleum (in Chinese) , 2004 ,43( 1) :8 ～10
[14] Levin S A. Discussion on: “Dip limitations on migrated sections as a function of line length and recording time” by H. B. Lynn and S. Deregowski (Geophysics, 46, 1392 ～1397) . Geophysics, 1984 .49 :1804 ～ 1805
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