VTI介质时间域高斯束偏移
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摘要
本文基于经典弹性参数表征的各向异性射线追踪系统,结合时间域高斯束偏移降低积分维度的高效运算优势,针对常规算法影响计算效率的问题,实现了适于各向异性介质的时间域高斯束偏移.本文利用各向异性Sub-Sag模型验证各向异性介质时间域高斯束方法的正确性.国际标准各向异性SEG/Hess模型测试结果表明,同传统频率域各向异性介质高斯束偏移方法对比,本文方法在运算速度和适应性方面有很大优势,更适合于在地层各向异性不能忽略的目标探区处理实际地震资料.
Owing to the less efficiency of traditional Gaussian beam method for inhomogeneous anisotropic media, we develop the efficient Gaussian beam method in time domain for anisotropic media on the basis of ray tracing system represented by classical elastic parameters. The traditional Gaussian beam migration for anisotropic media are broadly formulated in frequency domain, which need superposed computation of Green function as a Gaussian beam summation at all frequencies. In term of this issue, Gaussian beam migration in time domain can perform well with the modification of the formula by means of slight transformation, which can transform the triple integral in the frequency domain into the double integral of the horizontal slowness and the vertical slowness in the time domain, yield to enhancing the computational efficiency on the basis of maintaining the imaging accuracy. Numerical experiment of the SEG/Hess model confirm the feasibility and computational efficiency of Gaussian beam method in time domain for anisotropic media. This superiority is more suitable to deal with the real seismic datasets in the target exploration area where the anisotropy cannot be ignored.
Owing to the less efficiency of traditional Gaussian beam method for inhomogeneous anisotropic media, we develop the efficient Gaussian beam method in time domain for anisotropic media on the basis of ray tracing system represented by classical elastic parameters. The traditional Gaussian beam migration for anisotropic media are broadly formulated in frequency domain, which need superposed computation of Green function as a Gaussian beam summation at all frequencies. In term of this issue, Gaussian beam migration in time domain can perform well with the modification of the formula by means of slight transformation, which can transform the triple integral in the frequency domain into the double integral of the horizontal slowness and the vertical slowness in the time domain, yield to enhancing the computational efficiency on the basis of maintaining the imaging accuracy. Numerical experiment of the SEG/Hess model confirm the feasibility and computational efficiency of Gaussian beam method in time domain for anisotropic media. This superiority is more suitable to deal with the real seismic datasets in the target exploration area where the anisotropy cannot be ignored.
引文
Alkhalifah T. 1995. Gaussian beam depth migration for anisotropic media [J]. Geophysics, 60(5): 1474-1484
?erveny V.1972. Seismic Rays and Ray Intensities in Inhomogeneous Anisotropic Media [J]. Geophysical Journal International, 29(1): 1-13
?erveny V.1982. Expansion of a plane wave into Gaussian beams [J]. Studia Geophysica et Geodaetica, 26(2): 120-131
?erveny V, Popov M M, P?en?ík. 1972. Computation of wave fields in inhomogeneous media—Gaussian beam approach [J]. Geophysical Journal International, 70(1): 109-128.
Duan P F, Cheng J B, Chen A P, et al. 2013. Local angle-domain Gaussian beam prestack depth migration in a TI medium [J]. Chinese Journal of Geophysics (in Chinese), 56(12): 4206-4214, doi: 10.6038/cjg20131223.
Gao C, Sun J G, Qi P, et al. 2015. 2-D Gaussian-beam migration of common-shot records in time domain [J]. Chinese J. Geophys. (in Chinese), 58(4): 1333-1340, doi: 10.6038/cjg20150420.
Gray S H. 2005. Gaussian beam migration of common-shot records [J]. Geophysics, 70(4): S71-S77.
Gray S H, Bleistein N. 2009. True-amplitude Gaussian-beam migration [J]. Geophysics, 74(2): S11-S23.
Hanyga A. 1986. Gaussian beams in anisotropic elastic media [J]. Geophysical Journal International, 85(3): 473-504.
Hill N R. 1990. Gaussian beam migration [J]. Geophysics, 55(11): 1416-1428.
Hill N R. 2001. Prestack Gaussian-beam migration [J]. Geophysics, 66(4): 1240-1250.
Huang J P, Zhang Q, Zhang K, et al. 2014. Reverse time migration with Gaussian beams based on the Green function [J]. OGP. (in Chinese), 49(1): 101-106.
Popov M M. 1982. A new method of computation of wave fields using Gaussian beams [J]. Wave Motion, 4(1): 85-97.
Raz S. 1986. Beam stacking: A generalized preprocessing technique [J]. Geophysics, 52: 409-411.
Yang J D, Huang J P, Wang X, et al. 2015. Prestack depth migration method using the time-space Gaussian beam [A]. 86th Annual International Meeting, SEG, Expanded Abstracts [C], 4303-4307.
Zhang K, Duan X Y, Li Z C, et al. 2015. Angle domain reverse time migration with Gaussian beams in anisotropic media [J]. OGP. (in Chinese), 50(5): 912-918.
Zhu T F, Gray S Wang D L. 2005. Kinematic and dynamic raytracing in anisotropic media: theory and application [A]. 75th Annual International Meeting, SEG, Expanded Abstract [C], 96-99.
Zhu T F, Gray S H, Wang D L. 2007. Prestack Gaussian-beam depth migration in Anisotropic media [J]. Geophysics, 72(3): S133-S138.
段鹏飞, 程玖兵, 陈爱萍, 等. 2013. TI介质局部角度域高斯束叠前深度偏移成像[J]. 地球物理学报, 56(12): 4206-4214, doi: 10.6038/cjg20131223.
高成, 孙建国, 齐鹏, 等. 2015. 2D共炮时间域高斯波束偏移[J]. 地球物理学报, 58(4): 1333-1340, doi: 10.6038/cjg20150420.
黄建平, 张晴, 张凯, 等. 2014. 格林函数高斯束逆时偏移[J]. 石油地球物理勘探, 49(1): 101-106.
张凯, 段新意, 李振春, 等. 2015. 角度域各向异性高斯束逆时偏移[J]. 石油地球物理勘探, 50(5): 912-918.
?erveny V.1972. Seismic Rays and Ray Intensities in Inhomogeneous Anisotropic Media [J]. Geophysical Journal International, 29(1): 1-13
?erveny V.1982. Expansion of a plane wave into Gaussian beams [J]. Studia Geophysica et Geodaetica, 26(2): 120-131
?erveny V, Popov M M, P?en?ík. 1972. Computation of wave fields in inhomogeneous media—Gaussian beam approach [J]. Geophysical Journal International, 70(1): 109-128.
Duan P F, Cheng J B, Chen A P, et al. 2013. Local angle-domain Gaussian beam prestack depth migration in a TI medium [J]. Chinese Journal of Geophysics (in Chinese), 56(12): 4206-4214, doi: 10.6038/cjg20131223.
Gao C, Sun J G, Qi P, et al. 2015. 2-D Gaussian-beam migration of common-shot records in time domain [J]. Chinese J. Geophys. (in Chinese), 58(4): 1333-1340, doi: 10.6038/cjg20150420.
Gray S H. 2005. Gaussian beam migration of common-shot records [J]. Geophysics, 70(4): S71-S77.
Gray S H, Bleistein N. 2009. True-amplitude Gaussian-beam migration [J]. Geophysics, 74(2): S11-S23.
Hanyga A. 1986. Gaussian beams in anisotropic elastic media [J]. Geophysical Journal International, 85(3): 473-504.
Hill N R. 1990. Gaussian beam migration [J]. Geophysics, 55(11): 1416-1428.
Hill N R. 2001. Prestack Gaussian-beam migration [J]. Geophysics, 66(4): 1240-1250.
Huang J P, Zhang Q, Zhang K, et al. 2014. Reverse time migration with Gaussian beams based on the Green function [J]. OGP. (in Chinese), 49(1): 101-106.
Popov M M. 1982. A new method of computation of wave fields using Gaussian beams [J]. Wave Motion, 4(1): 85-97.
Raz S. 1986. Beam stacking: A generalized preprocessing technique [J]. Geophysics, 52: 409-411.
Yang J D, Huang J P, Wang X, et al. 2015. Prestack depth migration method using the time-space Gaussian beam [A]. 86th Annual International Meeting, SEG, Expanded Abstracts [C], 4303-4307.
Zhang K, Duan X Y, Li Z C, et al. 2015. Angle domain reverse time migration with Gaussian beams in anisotropic media [J]. OGP. (in Chinese), 50(5): 912-918.
Zhu T F, Gray S Wang D L. 2005. Kinematic and dynamic raytracing in anisotropic media: theory and application [A]. 75th Annual International Meeting, SEG, Expanded Abstract [C], 96-99.
Zhu T F, Gray S H, Wang D L. 2007. Prestack Gaussian-beam depth migration in Anisotropic media [J]. Geophysics, 72(3): S133-S138.
段鹏飞, 程玖兵, 陈爱萍, 等. 2013. TI介质局部角度域高斯束叠前深度偏移成像[J]. 地球物理学报, 56(12): 4206-4214, doi: 10.6038/cjg20131223.
高成, 孙建国, 齐鹏, 等. 2015. 2D共炮时间域高斯波束偏移[J]. 地球物理学报, 58(4): 1333-1340, doi: 10.6038/cjg20150420.
黄建平, 张晴, 张凯, 等. 2014. 格林函数高斯束逆时偏移[J]. 石油地球物理勘探, 49(1): 101-106.
张凯, 段新意, 李振春, 等. 2015. 角度域各向异性高斯束逆时偏移[J]. 石油地球物理勘探, 50(5): 912-918.