角度域黏声介质高斯束叠前深度偏移方法
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摘要
高斯束偏移方法作为一种改进的射线类偏移方法,兼具成像精度和计算效率高的优点。在传统高斯束叠前深度偏移方法的基础上,通过校正黏声介质对高斯束格林函数复值振幅及复值走时的影响,并结合高斯束传播过程中的角度信息,发展了适用于黏声介质的角度域高斯束叠前深度偏移方法,并给出了详细的实现流程。在实现算法的基础上,通过两个典型模型对本文方法进行测试,成像结果表明角度域黏声介质高斯束偏移方法可有效补偿黏声介质的吸收衰减作用,一定程度上提高了地震成像分辨率。
As an improvement of ray migration methods,the Gaussian beam migration method has the advantage of high imaging accuracy and high computational efficiency.Based on conventional prestack Gaussian beam depth migration methods,we develop an angle domain prestack Gaussian beam depth migration method for visco-acoustic media,which modifies complex amplitude and complex traveltime of the Gaussian beams Green function,and combines with the computation of the angle information in the Gaussian beams propagation process.Besides,we give the detailed implementation process.On the basis of the implementation of the algorithm,we test our method with two typical models.Result shows that the proposed method can compensate for attenuation effectively and partly improve the resolution of migrated images.
As an improvement of ray migration methods,the Gaussian beam migration method has the advantage of high imaging accuracy and high computational efficiency.Based on conventional prestack Gaussian beam depth migration methods,we develop an angle domain prestack Gaussian beam depth migration method for visco-acoustic media,which modifies complex amplitude and complex traveltime of the Gaussian beams Green function,and combines with the computation of the angle information in the Gaussian beams propagation process.Besides,we give the detailed implementation process.On the basis of the implementation of the algorithm,we test our method with two typical models.Result shows that the proposed method can compensate for attenuation effectively and partly improve the resolution of migrated images.
引文
[1]Traynin P,Liu J,Reilly J.Amplitude and bandwidth recovery beneath gas zones using Kirchhoff prestack depth Q-migration.SEG Technical Program Expanded Abstracts,2008,27:2412-2416.
[2]Xie Y,Xin K,Sun J et al.3Dprestack depth migration with compensation for frequency dependent absorption and dispersion.SEG Technical Program Expanded Abstracts,2009,28:2919-2923.
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[9]Zhang J,Wu J,Li X.Compensation for absorption and dispersion in prestack migration.Geophysics,2013,78(1):S1-S14.
[10]Zhang Y,Zhang P,Zhang H Z.Compensating for visco-acoustic effects in reverse-time migration.SEGTechnical Program Expanded Abstracts,2010,29:3160-3164.
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[14]Nowack R,Sen M K,Stoffa P L.Gaussian beam migration for sparse common-shot and common-receiver data.SEG Technical Program Expanded Abstracts,2003,22:1114-1117.
[15]Gray S H.Gaussian beam migration of common-shot records.Geophysics,2005,70(4):S71-S77.
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[17]岳玉波.复杂介质高斯束偏移成像方法研究[学位论文].山东青岛:中国石油大学(华东),2012.Yue Yubo.Study on Gaussian beam migration methods in complex medium[D].China University of Petroleum(East China),Qingdao,Shandong,2012.
[18]李振春,岳玉波,郭朝斌等.高斯波束共角度保幅深度偏移.石油地球物理勘探,2010,45(3):360-365.Li Zhenchun,Yue Yubo,Guo Chaobin et al.Gaussian beam common angle preserved-amplitude migration.OGP,2010,45(3):360-365.
[19]段鹏飞,程玖兵,陈爱萍等.TI介质局部角度域高斯束叠前深度偏移成像.地球物理学报,2013,56(12):4206-4214.Duan Pengfei,Cheng Jiubing,Chen Aiping et al.Local angle-domain Gaussian beam prestack depth migration in a TI medium.Chinese Journal of Geophysics,2013,56(12):4206-4214.
[20]段新意,李振春,黄建平等.各向异性介质共炮域高斯束叠前深度偏移.石油物探,2014,53(5):579-586.Duan Xinyi,Li Zhenchun,Huang Jianping et al.Aprestack Gaussian beam depth migration in commonshot domain for anisotropic media.GPP,2014,53(5):579-586.
[21]张凯,段新意,李振春等.角度域各向异性高斯束逆时偏移.石油地球物理勘探,2015,50(5):912-918.Zhang Kai,Duan Xinyi,Li Zhenchun et al.Angle domain reverse time migration with Gaussian beams in anisotropic media.OGP,2015,50(5):912-918.
[22]韩建光,王赟,张晓波等.VTI介质高斯束叠前深度偏移.石油地球物理勘探,2015,50(2):267-273.Han Jianguang,Wang Yun,Zhang Xiaobo et al.Gaussian beam prestack depth migration in VTImedia.OGP,2015,50(2):267-273.
[23]杨继东,黄建平,王欣等.复杂地表条件下叠前菲涅尔束偏移方法.地球物理学报,2015,58(10):3758-3770.Yang Jidong,Huang Jianping,Wang Xin et al.Prestack Fresnel beam migration method under complex topographic conditions.Chinese Journal of Geophysics,2015,58(10):3758-3770.
[24]Huang J P,Yang J D,Liao W Y et al.Common-shot Fresnel beam migration based on wave-field approximation in effective vicinity under complex topographic conditions.Geophysical Prospecting,2015,64(3):554-570.
[25]Aki K,Richards P G.Quantitative Seismology.W.H.Freeman&Co.,1980.
[26]Keers H,Vasco D W,Johnson L R.Viscoacoustic crosswell imaging using asymptotic waveforms.Geophysics,2001,66(3):861-870.
[27]Cerveny V,Popov M M,P2enˇcik I.Computation of wave fields in inhomogeneous:Gaussian beam approach.Geophysical Journal International,1982,70(1):109-128.
[28]Clayton R W,Stolt R H.A Born-WKBJ inversion method for acoustic reaction data.Geophysics,1981,46(11):1559-1567.
[29]Hildebrand S T,Carroll R J.Radon depth migration.Geophysics,1993,41(2):229-240.
[30]黄建平,袁茂林,段新意等.一种解耦的起伏地表弹性波高斯束偏移方法.石油地球物理勘探,2015,50(3):460-468.Huang Jianping,Yuan Maolin,Duan Xinyi et al.Decoupled elastic Gaussian beam migration for rugged topography.OGP,2015,50(3):460-468.
[31]蔡杰雄,王华忠,王立歆.基于三维高斯束算子解析的方位-反射角道集提取技术研究.石油物探,2016,55(1):76-83.Cai Jiexiong,Wang Huazhong,Wang Lixin.Azimuthopening angle domain common-image gathers from 3DGaussian beam migration.GPP,2016,55(1):76-83.
[2]Xie Y,Xin K,Sun J et al.3Dprestack depth migration with compensation for frequency dependent absorption and dispersion.SEG Technical Program Expanded Abstracts,2009,28:2919-2923.
[3]Xie Y,Notfors C,Sun J et al.3Dprestack beam migration with compensation for frequency dependent absorption and dispersion.72nd EAGE Annual International Meeting Extended Abstracts,2010.
[4]Xiao X,Hao F,Egger C et al.Final laser-beam Q-migration.SEG Technical Program Expanded Abstracts,2014,33:3872-3876.
[5]吴娟,陈小宏,白敏.黏滞声波高斯束叠前深度偏移.吉林大学学报(地球科学版),2015,45(5):1530-1538.Wu Juan,Chen Xiaohong,Bai Min.Viscoacoustic Gaussian beam prestack depth migration.Journal of Jilin University(Earth Science Edition),2015,45(5):1530-1538.
[6]Mittet R,Sollie R,Hokstad K.Prestack depth migration with compensation for absorption and dispersion.Geophysics,1995,60(5):1485-1494.
[7]Mittet R.A simple design procedure for depth extrapolation operators that compensates for absorption and dispersion.Geophysics,2007,72(2):S105-S112.
[8]Zhang J,Wapenaar K.Wavefield extrapolation and prestack depth migration in anelastic inhomogeneous media.Geophysical Prospecting,2002,50(6):629-643.
[9]Zhang J,Wu J,Li X.Compensation for absorption and dispersion in prestack migration.Geophysics,2013,78(1):S1-S14.
[10]Zhang Y,Zhang P,Zhang H Z.Compensating for visco-acoustic effects in reverse-time migration.SEGTechnical Program Expanded Abstracts,2010,29:3160-3164.
[11]Zhu T,Harris J M,Biondi B.Q-compensated reversetime migration.Geophysics,2014,79(3):S77-S87.
[12]Hill N R.Gaussian beam migration.Geophysics,1990,55(11):1416-1428.
[13]Hill N R.Prestack Gaussian-beam depth migration.Geophysics,2001,66(4):1240-1250.
[14]Nowack R,Sen M K,Stoffa P L.Gaussian beam migration for sparse common-shot and common-receiver data.SEG Technical Program Expanded Abstracts,2003,22:1114-1117.
[15]Gray S H.Gaussian beam migration of common-shot records.Geophysics,2005,70(4):S71-S77.
[16]Gray S H,Bleistein N.True-amplitude Gaussian-beam migration.Geophysics,2009,74(2):S11-S23.
[17]岳玉波.复杂介质高斯束偏移成像方法研究[学位论文].山东青岛:中国石油大学(华东),2012.Yue Yubo.Study on Gaussian beam migration methods in complex medium[D].China University of Petroleum(East China),Qingdao,Shandong,2012.
[18]李振春,岳玉波,郭朝斌等.高斯波束共角度保幅深度偏移.石油地球物理勘探,2010,45(3):360-365.Li Zhenchun,Yue Yubo,Guo Chaobin et al.Gaussian beam common angle preserved-amplitude migration.OGP,2010,45(3):360-365.
[19]段鹏飞,程玖兵,陈爱萍等.TI介质局部角度域高斯束叠前深度偏移成像.地球物理学报,2013,56(12):4206-4214.Duan Pengfei,Cheng Jiubing,Chen Aiping et al.Local angle-domain Gaussian beam prestack depth migration in a TI medium.Chinese Journal of Geophysics,2013,56(12):4206-4214.
[20]段新意,李振春,黄建平等.各向异性介质共炮域高斯束叠前深度偏移.石油物探,2014,53(5):579-586.Duan Xinyi,Li Zhenchun,Huang Jianping et al.Aprestack Gaussian beam depth migration in commonshot domain for anisotropic media.GPP,2014,53(5):579-586.
[21]张凯,段新意,李振春等.角度域各向异性高斯束逆时偏移.石油地球物理勘探,2015,50(5):912-918.Zhang Kai,Duan Xinyi,Li Zhenchun et al.Angle domain reverse time migration with Gaussian beams in anisotropic media.OGP,2015,50(5):912-918.
[22]韩建光,王赟,张晓波等.VTI介质高斯束叠前深度偏移.石油地球物理勘探,2015,50(2):267-273.Han Jianguang,Wang Yun,Zhang Xiaobo et al.Gaussian beam prestack depth migration in VTImedia.OGP,2015,50(2):267-273.
[23]杨继东,黄建平,王欣等.复杂地表条件下叠前菲涅尔束偏移方法.地球物理学报,2015,58(10):3758-3770.Yang Jidong,Huang Jianping,Wang Xin et al.Prestack Fresnel beam migration method under complex topographic conditions.Chinese Journal of Geophysics,2015,58(10):3758-3770.
[24]Huang J P,Yang J D,Liao W Y et al.Common-shot Fresnel beam migration based on wave-field approximation in effective vicinity under complex topographic conditions.Geophysical Prospecting,2015,64(3):554-570.
[25]Aki K,Richards P G.Quantitative Seismology.W.H.Freeman&Co.,1980.
[26]Keers H,Vasco D W,Johnson L R.Viscoacoustic crosswell imaging using asymptotic waveforms.Geophysics,2001,66(3):861-870.
[27]Cerveny V,Popov M M,P2enˇcik I.Computation of wave fields in inhomogeneous:Gaussian beam approach.Geophysical Journal International,1982,70(1):109-128.
[28]Clayton R W,Stolt R H.A Born-WKBJ inversion method for acoustic reaction data.Geophysics,1981,46(11):1559-1567.
[29]Hildebrand S T,Carroll R J.Radon depth migration.Geophysics,1993,41(2):229-240.
[30]黄建平,袁茂林,段新意等.一种解耦的起伏地表弹性波高斯束偏移方法.石油地球物理勘探,2015,50(3):460-468.Huang Jianping,Yuan Maolin,Duan Xinyi et al.Decoupled elastic Gaussian beam migration for rugged topography.OGP,2015,50(3):460-468.
[31]蔡杰雄,王华忠,王立歆.基于三维高斯束算子解析的方位-反射角道集提取技术研究.石油物探,2016,55(1):76-83.Cai Jiexiong,Wang Huazhong,Wang Lixin.Azimuthopening angle domain common-image gathers from 3DGaussian beam migration.GPP,2016,55(1):76-83.