任意广角方程逆时偏移及其在煤田资料中的应用
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摘要
利用任意广角方程逆时延拓的高阶有限差分格式实现了纵波资料的叠前逆时深度偏移,给出了稳定性条件及吸收边界条件;采用归一化互相关成像条件,在成像条件的计算中摒弃双程波方程,采用单程波方程对检波点逆时延拓波场和炮点正向延拓波场进行计算,得出了最佳归一化互相关成像条件。该算法在煤田资料偏移处理中,对较深处的构造清晰成像,取得了较好的应用效果。
Based on the arbitrarily wide-angle wave equations,a reverse-time propagation scheme was applied in the prestack resverse-time depth migration,the stability conditions and the absorbing boundary ones of the equations were also given.With the double wave equation abandoned in the imaging conditions,an optimal normalization imaging conditon was concluded by using the single wave equation to calculate the reverse time wave field and the forward wave field.The method has obtained distinct imaging and good results in the migration of the coal field data.
Based on the arbitrarily wide-angle wave equations,a reverse-time propagation scheme was applied in the prestack resverse-time depth migration,the stability conditions and the absorbing boundary ones of the equations were also given.With the double wave equation abandoned in the imaging conditions,an optimal normalization imaging conditon was concluded by using the single wave equation to calculate the reverse time wave field and the forward wave field.The method has obtained distinct imaging and good results in the migration of the coal field data.
引文
[1]Guitton A,Kaelin B,Biondi B.Least-squares attenuation of reverse-time-migration artifacts[J].Geophysics,2007,72(1):19-23.
[2]Fletcher R P,Fowler P J,Kitchenside P,et al.Suppressing unwanted internal reflections in prestack reverse-time migration[J].Geophysics,2006,71(6):79-82.
[3]Kwangjin Y,Kurt J.Revsrse-time migration using the Poynting vector[J].Exploration Geophysics,2006,59(1):102-107.
[4]Murthy N,Guddati A.Homayoun Heidari.Migration with arbitrarily wide-angle wave equations[J].Geophysics,2005,70(3):61-70.
[5]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 Bingshou,Zhang Huixing,Zhang Jing.Prestack reverse-time depth migration of arbitrarily wide-angle wave equations[J].Earthquake Science,2008,30(5):491-499.
[6]何兵寿,张会星,张建军.任意广角声波方程逆时偏移的吸收边界条件[J].煤炭学报,2010,35(1):106-109.He Bingshou,Zhang Huixing,Zhang Jianjun.Absorbing boundary conditions of arbitraily wide-angle acoustic equationsreverse-time migration[J].Journal of ChinaCoal Society,2010,35(1):106-109.
[7]Chattopadhyay S,Mcmechan G A.Imaging conditions for prestack reverse-time migration[J].Geophysics,2008,72(3):81-89.
[8]何兵寿,张会星,范国苗.双程声波方程逆时深度偏移[J].物探化探计算技术,2010,32(2):113-119.He Bingshou,Zhang Huixing,Fan Guomiao.Reverse-time depth migration of two way acoustic wave equations[J].Computing Techniques for Geophysical and Geochemical Exploration,2010,32(2):113-119.
[9]Claerbout J F.Toward aunified theory of reflector mapping[J].Geophysics,1971,36(3):467-481.
[10]Kaelin B,Guitton A.Imaging condition for reverse time migration[J].SEG Technical Program Expanded Abstracts,2007,26:2594-2598.
[2]Fletcher R P,Fowler P J,Kitchenside P,et al.Suppressing unwanted internal reflections in prestack reverse-time migration[J].Geophysics,2006,71(6):79-82.
[3]Kwangjin Y,Kurt J.Revsrse-time migration using the Poynting vector[J].Exploration Geophysics,2006,59(1):102-107.
[4]Murthy N,Guddati A.Homayoun Heidari.Migration with arbitrarily wide-angle wave equations[J].Geophysics,2005,70(3):61-70.
[5]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 Bingshou,Zhang Huixing,Zhang Jing.Prestack reverse-time depth migration of arbitrarily wide-angle wave equations[J].Earthquake Science,2008,30(5):491-499.
[6]何兵寿,张会星,张建军.任意广角声波方程逆时偏移的吸收边界条件[J].煤炭学报,2010,35(1):106-109.He Bingshou,Zhang Huixing,Zhang Jianjun.Absorbing boundary conditions of arbitraily wide-angle acoustic equationsreverse-time migration[J].Journal of ChinaCoal Society,2010,35(1):106-109.
[7]Chattopadhyay S,Mcmechan G A.Imaging conditions for prestack reverse-time migration[J].Geophysics,2008,72(3):81-89.
[8]何兵寿,张会星,范国苗.双程声波方程逆时深度偏移[J].物探化探计算技术,2010,32(2):113-119.He Bingshou,Zhang Huixing,Fan Guomiao.Reverse-time depth migration of two way acoustic wave equations[J].Computing Techniques for Geophysical and Geochemical Exploration,2010,32(2):113-119.
[9]Claerbout J F.Toward aunified theory of reflector mapping[J].Geophysics,1971,36(3):467-481.
[10]Kaelin B,Guitton A.Imaging condition for reverse time migration[J].SEG Technical Program Expanded Abstracts,2007,26:2594-2598.
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