任意广角波动方程深度偏移参数优化分析
|
摘要
强横向变速和陡倾角介质的成像问题是地震偏移成像的难点。本文在频率-空间域利用有限差分高阶分裂法求解任意广角波动方程实现了地震偏移成像。试验表明,参考速度的选取是影响成像精度的关键因素。脉冲响应测试表明通过优化参数任意广角波动方程能够以较低阶的方程获得较大的偏移角度。Marmousi模型数据叠前深度偏移试验表明,该方法能够适应强横向变速和陡倾角地质结构的成像,参数优化后能够取得更好的成像效果。
It is difficult to image the geological structure with strong lateral variation and steep dip. On the basis of the Arbitrarily Wide-Angle Wave Equation(AWWE) ,we implemented migration with finite difference high-split scheme in frequency-space domain. Optimization of the velocity parameters is a key factor in the accuracy of imaging. The test of impulse response clears that the low order AWWE can be adapted to higher steep dips by optimization of the parameters. The pre-stack migration of Marmousi data shows that the method can handle strong lateral variation and steep dip.
It is difficult to image the geological structure with strong lateral variation and steep dip. On the basis of the Arbitrarily Wide-Angle Wave Equation(AWWE) ,we implemented migration with finite difference high-split scheme in frequency-space domain. Optimization of the velocity parameters is a key factor in the accuracy of imaging. The test of impulse response clears that the low order AWWE can be adapted to higher steep dips by optimization of the parameters. The pre-stack migration of Marmousi data shows that the method can handle strong lateral variation and steep dip.
引文
[1]李振春,张军华.地震数据处理方法[M].东营:中国石油大学出版社,2004.Li ZC,Zhang JH.The method of seismic data processing[M].Dongying:China University of Petroleum Press,2004:220-267.
[2]Keho TH,Beydounw B.Paraxial ray Kirchhoff migration[J].Geophysics,1988,53(12):1540-1546.
[3]麻三怀,杨长春,孙福利,等.克希霍夫叠前时间偏移技术在复杂构造带地震资料处理中的应用[J].地球物理学进展,2004,23(3):754-760.Ma SH,Yang CC,SUN FL,et al.Application of Kirchhoff PSTM to seismic data of complex structure[J].Progress in Geophysics,2004,23(3):754-760.
[4]何英,王华忠,马在田,等.复杂地形条件下波动方程叠前深度成像[J].勘探地球物理进展,2002,25(3):13-19.He Y,Wang HZ,Ma ZT,et al.Pre-stack wave equation depth migration for irregular topography[J].Progress In Exploration Geophysics,2002,25(3):13-19.
[5]马淑芳,李振春.波动方程叠前深度偏移方法综述[J].勘探地球物理进展,2007,30(3):153-162.Ma SF,Li ZC.Review of wave equation prestack depth migration methods[J].Progress In Exploration Geophysics,2007,30(3):153-162.
[6]Guitton A,Kaelin B,Biondi B.Least-squares attenuation of reverse-time-migration artifacts[J].Geophysics,2007,72(1):S19-S23.
[7]Boechat JB,Bulc-o A.A3D reverse-time migration scheme for offshore seismic data[C].77th Annual International Meeting,SEG ExpandedAbstracts,2007:2427-2431.
[8]Jones IF,Goodwin MC.Application of anisotropic3D reverse time migration to complex North Sea imaging[C].77th Annual International Meeting,SEG Expanded Abstracts,2007,2140-2144.
[9]马在田.高阶有限差分偏移[J].石油地球物理勘探,1982,17(1):6-15.Ma ZT.The finite-difference migration of higher-order equation[J].Oil Geophysical Prospecting,1982,17(1):6-15.
[10]马在田.高阶方程偏移的分裂算法[J].地球物理学报,1983,26(4):377-388.Ma ZT.Splitting algorithm for high order equation migration[J].Chinese Journal Of Geophysics,1983,26(4):377-388.
[11]Lee MW,Suh SY.Optimization of one-way wave equations[J].Geophysics,1985,50:1634-1637.
[12]Ristow D,Ruhl T.Fourier finite-difference migration[J].Geophysics,1994,59(12):1882-1893.
[13]朱遂伟,张金海,姚振兴.基于多参量的模拟退火全局优化傅里叶有限差分算子[J].地球物理学报,2008,51(6):1844-1850.Zhu SW,Zhang JH,Yao ZX.Globally optimized Fourier finite-difference operator using simulated annealing algorithm based on multi-parameter[J].Chinese Journal Of Geophysics,2008,51(6):1844-1850.
[14]朱遂伟,张金海,姚振兴.高阶优化傅里叶有限差分算子偏移[J].石油地球物理勘探,2009,44(6):680-687.Zhu SW,Zhang JH,Yao ZX.High order optimization Fourier finite difference operatormigration method[J].Oil Geophysical Prospecting,2009,44(6):680-687.
[15]Guddati MN.Arbitrarily wide-angle wave equations for complex media[J].Computer Methods in Applied Mechanics and Engineering,2006,195(3):65-93.
[16]Guddati MN,Heidari AH.Migration with arbitrarily wide-angle wave equations[J].Geophysics,2005,70(3):S61-S70.
[17]何兵寿,张会星,张晶.任意广角波动方程叠前逆时深度偏移[J].地震学报,2008,30(5):491-499.He BS,Zhang HX,Zhang J.Prestack reverse-time depth migration of arbitrarily wide-angle wave equations[J].Acta Seismologica Sinica,2008,30(5):491-499.
[18]孙歧峰.基于任意广角波动方程的频率-空间域深度偏移方法研究[J].CT理论与应用研究,2010,19(2):17-24.Sun QF.The frequency-space domain depth migration based on arbitrarily wide-angle wave equation[J].CT Theory and Applications,2010,19(2):17-24.
[2]Keho TH,Beydounw B.Paraxial ray Kirchhoff migration[J].Geophysics,1988,53(12):1540-1546.
[3]麻三怀,杨长春,孙福利,等.克希霍夫叠前时间偏移技术在复杂构造带地震资料处理中的应用[J].地球物理学进展,2004,23(3):754-760.Ma SH,Yang CC,SUN FL,et al.Application of Kirchhoff PSTM to seismic data of complex structure[J].Progress in Geophysics,2004,23(3):754-760.
[4]何英,王华忠,马在田,等.复杂地形条件下波动方程叠前深度成像[J].勘探地球物理进展,2002,25(3):13-19.He Y,Wang HZ,Ma ZT,et al.Pre-stack wave equation depth migration for irregular topography[J].Progress In Exploration Geophysics,2002,25(3):13-19.
[5]马淑芳,李振春.波动方程叠前深度偏移方法综述[J].勘探地球物理进展,2007,30(3):153-162.Ma SF,Li ZC.Review of wave equation prestack depth migration methods[J].Progress In Exploration Geophysics,2007,30(3):153-162.
[6]Guitton A,Kaelin B,Biondi B.Least-squares attenuation of reverse-time-migration artifacts[J].Geophysics,2007,72(1):S19-S23.
[7]Boechat JB,Bulc-o A.A3D reverse-time migration scheme for offshore seismic data[C].77th Annual International Meeting,SEG ExpandedAbstracts,2007:2427-2431.
[8]Jones IF,Goodwin MC.Application of anisotropic3D reverse time migration to complex North Sea imaging[C].77th Annual International Meeting,SEG Expanded Abstracts,2007,2140-2144.
[9]马在田.高阶有限差分偏移[J].石油地球物理勘探,1982,17(1):6-15.Ma ZT.The finite-difference migration of higher-order equation[J].Oil Geophysical Prospecting,1982,17(1):6-15.
[10]马在田.高阶方程偏移的分裂算法[J].地球物理学报,1983,26(4):377-388.Ma ZT.Splitting algorithm for high order equation migration[J].Chinese Journal Of Geophysics,1983,26(4):377-388.
[11]Lee MW,Suh SY.Optimization of one-way wave equations[J].Geophysics,1985,50:1634-1637.
[12]Ristow D,Ruhl T.Fourier finite-difference migration[J].Geophysics,1994,59(12):1882-1893.
[13]朱遂伟,张金海,姚振兴.基于多参量的模拟退火全局优化傅里叶有限差分算子[J].地球物理学报,2008,51(6):1844-1850.Zhu SW,Zhang JH,Yao ZX.Globally optimized Fourier finite-difference operator using simulated annealing algorithm based on multi-parameter[J].Chinese Journal Of Geophysics,2008,51(6):1844-1850.
[14]朱遂伟,张金海,姚振兴.高阶优化傅里叶有限差分算子偏移[J].石油地球物理勘探,2009,44(6):680-687.Zhu SW,Zhang JH,Yao ZX.High order optimization Fourier finite difference operatormigration method[J].Oil Geophysical Prospecting,2009,44(6):680-687.
[15]Guddati MN.Arbitrarily wide-angle wave equations for complex media[J].Computer Methods in Applied Mechanics and Engineering,2006,195(3):65-93.
[16]Guddati MN,Heidari AH.Migration with arbitrarily wide-angle wave equations[J].Geophysics,2005,70(3):S61-S70.
[17]何兵寿,张会星,张晶.任意广角波动方程叠前逆时深度偏移[J].地震学报,2008,30(5):491-499.He BS,Zhang HX,Zhang J.Prestack reverse-time depth migration of arbitrarily wide-angle wave equations[J].Acta Seismologica Sinica,2008,30(5):491-499.
[18]孙歧峰.基于任意广角波动方程的频率-空间域深度偏移方法研究[J].CT理论与应用研究,2010,19(2):17-24.Sun QF.The frequency-space domain depth migration based on arbitrarily wide-angle wave equation[J].CT Theory and Applications,2010,19(2):17-24.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心