时限时移相关法叠前逆时成像条件及其应用
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摘要
地震波逆时偏移法是目前成像精度最高的成像技术。分析了相关法叠前逆时成像的基本原理,提出了时限时移相关法叠前逆时成像条件。运用高阶交错网格有限差分法,按照一定的观测方式合成了基于Marmousi模型的123个炮集记录,并应用时限时移相关法叠前逆时成像条件进行了叠前逆时深度偏移,将获得的剖面与反射系数深度剖面进行了对比。数值计算结果表明,应用时限时移相关法叠前逆时成像条件获得的偏移剖面准确反映了Marmousi模型中的各个地质反射界面及其反射系数的变化特征。与时空移相关法叠前逆时成像条件相比,时限时移相关法叠前逆时成像条件能够大大减少计算量和存储量,提高了计算效率。
Seismic wave reverse-time migration is one of the methods with higher imaging accuracy.We analyzed the basic principles of the correlation pre-stack reverse-time migration,and presented time-limited time-shift correlation pre-stack reverse-time imaging condition.By using high-order staggered-grid finite-difference method and following a certain survey,123 shot gather records based on Marmousi model were generated.Then the time-limited time-shift correlation pre-stack reverse-time imaging condition was applied to carry out pre-stack reverse-time depth migration,and the obtained seismic profiles were compared to the reflection coefficient depth profile.The numerical computational result shows that the profile of time-limited time-shift pre-stack reverse-time imaging condition accurately reflects each geologic reflection interface and its variation characteristics of the reflection coefficient in the Marmousi model.Compared to space-time shift correlation pre-stack reverse time imaging condition,our imaging condition largely reduces computational and storage amount,and improves the computational efficiency.
Seismic wave reverse-time migration is one of the methods with higher imaging accuracy.We analyzed the basic principles of the correlation pre-stack reverse-time migration,and presented time-limited time-shift correlation pre-stack reverse-time imaging condition.By using high-order staggered-grid finite-difference method and following a certain survey,123 shot gather records based on Marmousi model were generated.Then the time-limited time-shift correlation pre-stack reverse-time imaging condition was applied to carry out pre-stack reverse-time depth migration,and the obtained seismic profiles were compared to the reflection coefficient depth profile.The numerical computational result shows that the profile of time-limited time-shift pre-stack reverse-time imaging condition accurately reflects each geologic reflection interface and its variation characteristics of the reflection coefficient in the Marmousi model.Compared to space-time shift correlation pre-stack reverse time imaging condition,our imaging condition largely reduces computational and storage amount,and improves the computational efficiency.
引文
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[3]Loewenthal D,Mulfti I R.Reverse-time migration in spatial frequency domain[J].Geophysics,1983, 48(3):627-635
[4]陈可洋.高阶弹性波波动方程正演模拟及逆时偏移成像研究[D].大庆:大庆石油学院,2009
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[6]Guo S J,Li Z C,Sun X D,et al.Post-stack reversetime migration using a finite difference method based on triangular grids[J].Applied Geophysics,2008, 5(2):115-120
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[10]Soubaras R,Zhang Y.Two-step explicit marching method for reverse time migration[J].Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008, 2272-2276
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[18]Sava P,Fomel S.Time-shift imaging condition in seismic migration[J].Geophysics,2006,71(6 ): S209-S217
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[20]Kaelin B,Guitton A.Imaging condition for reverse time migration[J].Expanded Abstracts of 76~(th) Annual Internat SEG Mtg,2006,2594-2598
[21]Guitton A,Valenciano A,Bevc D,et al.Smoothing imaging condition for shot-proflle migration[J].Geophysics, 2007,72(3):S149-S154
[22]Costa J C,Neto F A S,Alcantara M R M,et al.Obliquity -correction imaging condition for reverse time migration[J].Geophysics,2009,74(3):S57-S66
[23]Sava P.Stereographic imaging condition for wave-equation migration[J].Geophysics,2007,72(6 ): A87-A91
[24]Jones I F.A modeling study of preprocessing considerations for reverse-time migration[J].Geophysics, 2008,73(6):T99-T106
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[26]Vigh D,William S E.Comparisons of shot-profile vs.plane-wave reverse time migration[J].Expanded Abstracts of 76~(th) Annual Internat SEG Mtg,2006, 2358-2361
[27]Temme P.A comparison of common-midpoint,sin- ??gle-shot,and plane-wave depth migration[J].Geophysics, 1984,49(11):1896-1907
[28]Yoon K,Shin C,Suh S,et al.3D reverse-time migration using acoustic wave equation:an experience with the SEG/EAGE data set[J].The Leading Edge, 2003,22(1):38-41
[29]Guan H,Li Z,Wang B,et al.A Multi-step approach for efficient reverse-time migration[J].Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008, 2341-2345
[30]陈可洋.地震波数值模拟中差分近似的各向异性分析[J].石油物探,2010,49(1):19-22
[31]陈可洋.标量声波波动方程高阶交错网格有限差分法[J].中国海上油气,2009,21(4):232-236
[32]Sava P,Fomel S.Time-shift imaging condition[J]. Expanded Abstracts of 75~(th) Annual Internat SEG Mtg,2005,1850-1853
[33]Yoon K,Marfurt K J.Challenges in reverse-time migration [J].Expanded Abstracts of 74~(th) Annual Internat SEG Mtg,2004,10-15
[34]Mulder W,Plessix R.One-way and two-way wave-equation migration[J].Expanded Abstracts of 73~(rd) Annual Internat SEG Mtg,2003,1292-1295
[35]Sun R,McMechan G A.Scalar reverse-time depth migration of elastic seismic data[J].Geophysics, 2001,66(11):1515-1518
[36]Causse E,Ursin B.Viscoacoustic reverse-time migration [J].Journal of Seismic Exploration,2000, 9(1):165-184
[37]Wu W,Lines L R,Lu H.Analysis of higher-order, finite-difference schemes in 3-D reverse-time migration [J].Geophysics,1996,61(3):845-856
[38]Jones I F.Pre-processing considerations for reverse time migration[J].Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008,2297-2301
[39]Wards B D,Margrave G F.Phase-shift time-stepping for reverse-time migration[J].Expanded Abstracts of 78~(th) Annual Intemat SEG Mtg,2008,2262-2266
[40]Costa J C,Silva N F A,Alcantara M R M,et al.Obliquity -correction imaging condition for reverse time migration[J].Geophysics,2009,74(3):S57-S66
[41]杨勤勇,段心标.逆时偏移技术发展现状与趋势[J].石油物探,2010,49(1):92-98
[42]陈可洋.边界吸收中镶边法的评价[J].中国科学院研究生院学报,2010,27(2):170-175
[43]陈可洋.宽频双程走时计算方法及其波场照明分析[J].勘探地球物理进展,2010,33(4):270-274
[44]陈可洋.起伏地表地震波正演数值模拟[J].高原地震,2010,22(2):39-44
[45]陈可洋.声波完全匹配层吸收边界条件的改进算法[J].石油物探,2009,41(1):76-79
[2]Zhang Y,Sun J,Gray S.Reverse time migration: Amplitude and implementation issues[J].Expanded Abstracts of 77~(th) Annual Internat SEG Mtg,2007, 2145-2149
[3]Loewenthal D,Mulfti I R.Reverse-time migration in spatial frequency domain[J].Geophysics,1983, 48(3):627-635
[4]陈可洋.高阶弹性波波动方程正演模拟及逆时偏移成像研究[D].大庆:大庆石油学院,2009
[5]Dussaud E,Symes W W,Williamson P,et al.Computational strategies for reverse-time migration[J]. Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008,2267-2271
[6]Guo S J,Li Z C,Sun X D,et al.Post-stack reversetime migration using a finite difference method based on triangular grids[J].Applied Geophysics,2008, 5(2):115-120
[7]薛东川,王尚旭.波动方程有限元叠前逆时偏移[J].石油地球物理勘探,2008,43(1):17-21
[8]Deng F,Mcmechan G A.Viscoelastic true-amplitude prestack reverse-time depth migration[J].Geophysics, 2008,73(4):S143-S155
[9]Zhang Y,Zang G.One-step extrapolation method for reverse time migration[J].Geophysics,2009,74(4): A29-A33
[10]Soubaras R,Zhang Y.Two-step explicit marching method for reverse time migration[J].Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008, 2272-2276
[11]陈可洋.基于高阶有限差分的波动方程叠前逆时偏移方法[J].石油物探,2009,48(5):475-478
[12]陈可洋.地震波旅行时计算方法及其模型试验分析[J].石油物探,2010,49(2):153-157
[13]陈可洋.地震波逆时偏移方法研究综述[J].勘探地球物理进展,2010,33(3):153-159
[14]陈可洋.各向异性弹性波波动方程多分量联合叠后逆时偏移[J].内陆地震,2009,23(4):455-460
[15]陈可洋,杨微,吴清岭,等.几种地震波叠后深度偏移方法的比较[J].勘探地球物理进展,2009,32(4): 257-260
[16]陈可洋.声波和弹性波叠后逆时深度偏移[J].天然气勘探与开发,2010,33(3):20-21,49
[17]Chattopadhyay S,Mcmechan G A.imaging conditions for prestack reverse-time migration[J].Geophysics, 2008,73(3):S81-S89
[18]Sava P,Fomel S.Time-shift imaging condition in seismic migration[J].Geophysics,2006,71(6 ): S209-S217
[19]Hildebrand S T.Reverse-time depth migration:impedance imaging condition[J].Geophysics,1987,52 (8):1060-1064
[20]Kaelin B,Guitton A.Imaging condition for reverse time migration[J].Expanded Abstracts of 76~(th) Annual Internat SEG Mtg,2006,2594-2598
[21]Guitton A,Valenciano A,Bevc D,et al.Smoothing imaging condition for shot-proflle migration[J].Geophysics, 2007,72(3):S149-S154
[22]Costa J C,Neto F A S,Alcantara M R M,et al.Obliquity -correction imaging condition for reverse time migration[J].Geophysics,2009,74(3):S57-S66
[23]Sava P.Stereographic imaging condition for wave-equation migration[J].Geophysics,2007,72(6 ): A87-A91
[24]Jones I F.A modeling study of preprocessing considerations for reverse-time migration[J].Geophysics, 2008,73(6):T99-T106
[25]Zhu J,Lines L R.Comparison of Kirchhoff and reverse -time migration methods with applications to pre-stack depth imaging of complex structures[J]. Geophysics,1998,63(4):1166-1176
[26]Vigh D,William S E.Comparisons of shot-profile vs.plane-wave reverse time migration[J].Expanded Abstracts of 76~(th) Annual Internat SEG Mtg,2006, 2358-2361
[27]Temme P.A comparison of common-midpoint,sin- ??gle-shot,and plane-wave depth migration[J].Geophysics, 1984,49(11):1896-1907
[28]Yoon K,Shin C,Suh S,et al.3D reverse-time migration using acoustic wave equation:an experience with the SEG/EAGE data set[J].The Leading Edge, 2003,22(1):38-41
[29]Guan H,Li Z,Wang B,et al.A Multi-step approach for efficient reverse-time migration[J].Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008, 2341-2345
[30]陈可洋.地震波数值模拟中差分近似的各向异性分析[J].石油物探,2010,49(1):19-22
[31]陈可洋.标量声波波动方程高阶交错网格有限差分法[J].中国海上油气,2009,21(4):232-236
[32]Sava P,Fomel S.Time-shift imaging condition[J]. Expanded Abstracts of 75~(th) Annual Internat SEG Mtg,2005,1850-1853
[33]Yoon K,Marfurt K J.Challenges in reverse-time migration [J].Expanded Abstracts of 74~(th) Annual Internat SEG Mtg,2004,10-15
[34]Mulder W,Plessix R.One-way and two-way wave-equation migration[J].Expanded Abstracts of 73~(rd) Annual Internat SEG Mtg,2003,1292-1295
[35]Sun R,McMechan G A.Scalar reverse-time depth migration of elastic seismic data[J].Geophysics, 2001,66(11):1515-1518
[36]Causse E,Ursin B.Viscoacoustic reverse-time migration [J].Journal of Seismic Exploration,2000, 9(1):165-184
[37]Wu W,Lines L R,Lu H.Analysis of higher-order, finite-difference schemes in 3-D reverse-time migration [J].Geophysics,1996,61(3):845-856
[38]Jones I F.Pre-processing considerations for reverse time migration[J].Expanded Abstracts of 78~(th) Annual Internat SEG Mtg,2008,2297-2301
[39]Wards B D,Margrave G F.Phase-shift time-stepping for reverse-time migration[J].Expanded Abstracts of 78~(th) Annual Intemat SEG Mtg,2008,2262-2266
[40]Costa J C,Silva N F A,Alcantara M R M,et al.Obliquity -correction imaging condition for reverse time migration[J].Geophysics,2009,74(3):S57-S66
[41]杨勤勇,段心标.逆时偏移技术发展现状与趋势[J].石油物探,2010,49(1):92-98
[42]陈可洋.边界吸收中镶边法的评价[J].中国科学院研究生院学报,2010,27(2):170-175
[43]陈可洋.宽频双程走时计算方法及其波场照明分析[J].勘探地球物理进展,2010,33(4):270-274
[44]陈可洋.起伏地表地震波正演数值模拟[J].高原地震,2010,22(2):39-44
[45]陈可洋.声波完全匹配层吸收边界条件的改进算法[J].石油物探,2009,41(1):76-79
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