基于双平方根方程的双域保幅地震偏移方法
|
摘要
从全声波方程出发,基于严格的解耦理论进行单程波保幅分解,得到保幅的单程波动方程;然后按照叠前深度偏移中的波场双重向下延拓理论实现共炮域公式到CMP域公式的转换,推导出由双平方根方程定义的保幅单程波动方程;基于反问题求解中常用的摄动理论,把速度场分裂为层内常速背景和变速扰动,分别在频率波数域和频率空间域求得波场深度延拓的偏移时移量及振幅校正系数,得到最终的双域保幅波场延拓算子。理论模型试算和实际资料处理表明,该方法不但具有较高成像精度,而且可以为后续的地震属性分析提供更真实的振幅信息。
Based on strict decoupling theory,we firstly derive the one-way wave equation started from full acoustic wave equation using one-way wave′s preserved-amplitude decomposition in this paper.According to the theory of double downward continuation of wavefield in prestack depth migration,we achieve the formula transformation from common-shot domain to common-middle-point domain,and then derive one-way wave equation of preserved-amplitude defined by DSR equation.According to the perturbation theory of seismic wave,we split the velocity field into intraformational constant velocity background and variable velocity disturbance,and then calculate time-shift quantity of migration and amplitude correction coefficients for wavefield continuation in frequency-wave number domain and frequency-spatial domain,respectively,to obtain the final DSR preserved-amplitude field continuation operation.Theoretical model testing and real data processing indicate that this method can not only has high accuracy of imaging ,but also provide correct amplitude information for the following attribute analysis.
Based on strict decoupling theory,we firstly derive the one-way wave equation started from full acoustic wave equation using one-way wave′s preserved-amplitude decomposition in this paper.According to the theory of double downward continuation of wavefield in prestack depth migration,we achieve the formula transformation from common-shot domain to common-middle-point domain,and then derive one-way wave equation of preserved-amplitude defined by DSR equation.According to the perturbation theory of seismic wave,we split the velocity field into intraformational constant velocity background and variable velocity disturbance,and then calculate time-shift quantity of migration and amplitude correction coefficients for wavefield continuation in frequency-wave number domain and frequency-spatial domain,respectively,to obtain the final DSR preserved-amplitude field continuation operation.Theoretical model testing and real data processing indicate that this method can not only has high accuracy of imaging ,but also provide correct amplitude information for the following attribute analysis.
引文
[1]Stoffa P L,Fokkema J,Luna Freire,et al.Split step Fouriermigration.Geophysics[J].1990,55(4):410-421
[2]Ristow D,Rhl T.Fourier finite-difference migration.Geophysics[J].1994,59(12):1882-1893
[3]吴如山,金胜汶,谢小碧.广义屏传播算子及其在地震波偏移成像方面的应用.石油地球物理勘探[J].2001,36(6):655-664
[4]程玖兵,王华忠,马在田.双平方根方程三维叠前深度偏移.地球物理学报[J].2003,46(5):676-683
[5]程玖兵,王华忠,于富文,等.波动方程共炮检距道集叠前深度偏移.石油地球物理勘探[J].2001,36(5):526-532
[6]Zhang Y,Zhang G.Theory of true amplitude common-shot mi-gration.72nd Ann.Internat.Mtg.,Soc.Expl.Geophys.Ex-panded Abstracts,2002.2471-2474
[7]刘定进,曾强,夏连军,等.波动方程保幅地震偏移成像方法.复杂油气藏[J].2009,2(1):20-25
[8]张关泉.波动方程的上行波和下行波的耦合方程组.应用数学学报[J].1993,16(2):251-263
[2]Ristow D,Rhl T.Fourier finite-difference migration.Geophysics[J].1994,59(12):1882-1893
[3]吴如山,金胜汶,谢小碧.广义屏传播算子及其在地震波偏移成像方面的应用.石油地球物理勘探[J].2001,36(6):655-664
[4]程玖兵,王华忠,马在田.双平方根方程三维叠前深度偏移.地球物理学报[J].2003,46(5):676-683
[5]程玖兵,王华忠,于富文,等.波动方程共炮检距道集叠前深度偏移.石油地球物理勘探[J].2001,36(5):526-532
[6]Zhang Y,Zhang G.Theory of true amplitude common-shot mi-gration.72nd Ann.Internat.Mtg.,Soc.Expl.Geophys.Ex-panded Abstracts,2002.2471-2474
[7]刘定进,曾强,夏连军,等.波动方程保幅地震偏移成像方法.复杂油气藏[J].2009,2(1):20-25
[8]张关泉.波动方程的上行波和下行波的耦合方程组.应用数学学报[J].1993,16(2):251-263
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