偏移中地震波粘滞效应的补偿研究
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摘要
探讨了在地震资料偏移时对地震波粘滞效应进行补偿的方法。给出了方法的基本原理,即将地震波的吸收和频散考虑到偏移延拓算子中去,在进行波场延拓的同时,补偿地震波的吸收和频散。偏移延拓算子通过求解线性最优化和非线性最优化问题来获得,因此保证了算子的稳定性和精度。偏移时,通过延拓算子查表法,利用McClellan变换实现三维波场的向下延拓。数值模拟表明,与传统偏移方法相比,在偏移中考虑粘滞性吸收和衰减能够获得更真实、更精确的地下成像。
Seismic wave absorption and dispersion is considered when migration extrapolation operator is computed, and also compensated during the wavefield extrapolation. Extrapolation operator is obtained by a nonlinear optimization along with a linear optimization. With this method, the operator can be of stability and accuracy. 1-D Extrapolation operator with McClellan transformation can achieve 3-D table-driven migration. The numerical modeling shows that the considering viscosity absorption and attenuation in migration can be the subsurface image more correctly and accu rately by comparison with traditional migration algorithms.
Seismic wave absorption and dispersion is considered when migration extrapolation operator is computed, and also compensated during the wavefield extrapolation. Extrapolation operator is obtained by a nonlinear optimization along with a linear optimization. With this method, the operator can be of stability and accuracy. 1-D Extrapolation operator with McClellan transformation can achieve 3-D table-driven migration. The numerical modeling shows that the considering viscosity absorption and attenuation in migration can be the subsurface image more correctly and accu rately by comparison with traditional migration algorithms.
引文
1 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[J]．石油物探,2004,43(1):8-10
2 Bickel S H, Natarajan R R. Plane wave Q deconvolution [J]. Geophysics, 1985,50(9): 1426-1439
3 Hargreaves N D, Calvert A J. Inverse Q filtering by Fourier transformation[J]. Geophysics, 1991,56(4): 519-527
4 Dai N X, West G I. Inverse Q migration[J]. Expanded Abstracts of 64th SEG Annual Mtg, 1994, 1418-1421.
5 Mittet R, Hokstad K. Prestack depth migration with compensation for absorption and dispersion [J]. Geophysics, 1995,60(4): 968-977
6 Blacquiere G,Debeye H W J,Wapenaay C P A,et al. 3D table-driven migration[J]. Geophysical Prospecting, 1989,37(8): 925-958
7 Hale D. Stable explicit depth extrapolation of seismic wavefields[J]. Geophysics, 1991,56(11): 1770-1777
8 Holberg O. Towards optimum one-way wave propoga-tion[J]. Geophysical Prospecting, 1988,36(2): 99-114
9 杨午阳,Zhang H Z,茅金根,等．F-K域粘弹性波动方程 保幅偏移[J]．石油物探,2003,42(3):285-288
2 Bickel S H, Natarajan R R. Plane wave Q deconvolution [J]. Geophysics, 1985,50(9): 1426-1439
3 Hargreaves N D, Calvert A J. Inverse Q filtering by Fourier transformation[J]. Geophysics, 1991,56(4): 519-527
4 Dai N X, West G I. Inverse Q migration[J]. Expanded Abstracts of 64th SEG Annual Mtg, 1994, 1418-1421.
5 Mittet R, Hokstad K. Prestack depth migration with compensation for absorption and dispersion [J]. Geophysics, 1995,60(4): 968-977
6 Blacquiere G,Debeye H W J,Wapenaay C P A,et al. 3D table-driven migration[J]. Geophysical Prospecting, 1989,37(8): 925-958
7 Hale D. Stable explicit depth extrapolation of seismic wavefields[J]. Geophysics, 1991,56(11): 1770-1777
8 Holberg O. Towards optimum one-way wave propoga-tion[J]. Geophysical Prospecting, 1988,36(2): 99-114
9 杨午阳,Zhang H Z,茅金根,等．F-K域粘弹性波动方程 保幅偏移[J]．石油物探,2003,42(3):285-288
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