基于柯西先验分布的叠前弹性阻抗反演方法及应用
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摘要
以贝叶斯反演为代表的概率化反演方法既能考虑观测数据的不确定性,又可以考虑待求解参数的先验信息,在实际地震反演中备受青睐。经研究表明,在柯西先验信息下获取的反演结果更具有稀疏性,且具有高分辨特征。叠前弹性阻抗反演是一种基于多角度部份叠加剖面的叠前地震反演方法,信息量丰富,计算效率高。这里在贝叶斯框架下,实现了基于柯西先验的叠前弹性阻抗反演方法,并提取了对储层流体敏感的弹性参数。实际资料应用表明,基于柯西先验的弹性阻抗反演方法合理可靠,具有较高的分辨能力,且提取的弹性参数能够较好地吻合实际钻遇结果。
Inversion based on probability scheme represented by Bayesian inversion has been widely utilized in seismic data interpretation.On one hand,it contains the uncertainty in observed data,on the other hand,it also contains the prior information for the model parameters to be estimated.Cauchy prior probability density information leads to more sparse inversion result with high resolution.Elastic impedance inversion as a kind of pre-stack seismic inversion methods with partial angle-stack has also been utilized in practice widespread for its high efficiency and abundant information.In this paper,a kind of elastic impedance Bayesian inversion with Cauchy prior information is proposed,and with the inverted elastic impedances in different angle,Lame parameters are extracted.Real data test shows that the proposed method is reliable and has high resolution.The extracted lame parameters match with drilling result well.
Inversion based on probability scheme represented by Bayesian inversion has been widely utilized in seismic data interpretation.On one hand,it contains the uncertainty in observed data,on the other hand,it also contains the prior information for the model parameters to be estimated.Cauchy prior probability density information leads to more sparse inversion result with high resolution.Elastic impedance inversion as a kind of pre-stack seismic inversion methods with partial angle-stack has also been utilized in practice widespread for its high efficiency and abundant information.In this paper,a kind of elastic impedance Bayesian inversion with Cauchy prior information is proposed,and with the inverted elastic impedances in different angle,Lame parameters are extracted.Real data test shows that the proposed method is reliable and has high resolution.The extracted lame parameters match with drilling result well.
引文
[1]BULAND A,OMRE H.Bayesian linearized AVO in-version[J].Geophysics,2003,68(3):185.
[2]DOWNTON J.E,LINES L.R.Constrained threeparameter AVO inversion and uncertainty analysis[A].71th Annual International Meeting,SEG,2001.
[3]杨培杰.地震子波盲提取与非线性反演[D].东营:中国石油大学,2008.
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[5]GRAY F D.Elastic Inversion for Lame parameters[C].Expanded Abstract of 72th SEG Mtg,2002.
[6]印兴耀,袁世洪,张繁昌.从弹性波阻抗中提取岩石物性参数[A].中国石油学会物探专业委员会及美国地球物理学家学会,CPS/SEG2004国际地球物理会议论文集[C].北京:CPS/SEG2004国际地球物理会议,2004.
[7]王保丽,印兴耀,张繁昌.基于Gray近似的弹性波阻抗方程及反演[J].石油地球物理勘探,2007,42(4):435.
[8]WANG BAOLI,YIN XINGYAO,ZHANG FAN-CHANG.Laméparameters inversion based on elasticimpedance and its application[J].Applied Geophys-ics,2006,3(3):174.
[9]GRAY D.Bridging the gap:using AVO to detectchanges in fundamental elastic constants[C].59thAnn Internet Expanded Abstract of SEG Mtg,1999.
[10]GRAY D,ANDERSEN E.The application of AVOand inversion to the estimation of rock properties[C].Expanded Abst racts of 70th SEG Mtg,2000.
[11]SACCHI M D,ULRYCH T J,High-resolution ve-locity gathers and offset space reconstruction[J].Ge-ophysics,1995,60(4),1169.
[12]ALEMIE W,SACCHI M D.High-resolution three-term AVO inversion by means of a Trivariate Cauchyprobability distribution[J].Geophysics 2011,76(3):43.
[2]DOWNTON J.E,LINES L.R.Constrained threeparameter AVO inversion and uncertainty analysis[A].71th Annual International Meeting,SEG,2001.
[3]杨培杰.地震子波盲提取与非线性反演[D].东营:中国石油大学,2008.
[4]CONNLLY P,Elastic impedance[J].The LeadingEdge,1999,18(4):438.
[5]GRAY F D.Elastic Inversion for Lame parameters[C].Expanded Abstract of 72th SEG Mtg,2002.
[6]印兴耀,袁世洪,张繁昌.从弹性波阻抗中提取岩石物性参数[A].中国石油学会物探专业委员会及美国地球物理学家学会,CPS/SEG2004国际地球物理会议论文集[C].北京:CPS/SEG2004国际地球物理会议,2004.
[7]王保丽,印兴耀,张繁昌.基于Gray近似的弹性波阻抗方程及反演[J].石油地球物理勘探,2007,42(4):435.
[8]WANG BAOLI,YIN XINGYAO,ZHANG FAN-CHANG.Laméparameters inversion based on elasticimpedance and its application[J].Applied Geophys-ics,2006,3(3):174.
[9]GRAY D.Bridging the gap:using AVO to detectchanges in fundamental elastic constants[C].59thAnn Internet Expanded Abstract of SEG Mtg,1999.
[10]GRAY D,ANDERSEN E.The application of AVOand inversion to the estimation of rock properties[C].Expanded Abst racts of 70th SEG Mtg,2000.
[11]SACCHI M D,ULRYCH T J,High-resolution ve-locity gathers and offset space reconstruction[J].Ge-ophysics,1995,60(4),1169.
[12]ALEMIE W,SACCHI M D.High-resolution three-term AVO inversion by means of a Trivariate Cauchyprobability distribution[J].Geophysics 2011,76(3):43.
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