鲁棒性AVO三参数反演方法及不确定性分析
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摘要
密度可用于推测流体饱和度,在储层预测中起至关重要作用。本文针对反演密度项造成的不适定问题和地震资料的带限特征,提出一种鲁棒性AVO三参数反演方法。该方法是通过在概率化AVO三参数反演目标函数中加入正则约束项,反演得到纵横波阻抗及密度参数,在提高反演结果稀疏性的同时,对反演结果低频分量进行补偿,保证结果的可靠性。文中还对反演结果进行了不确定性分析,验证了反演结果的可信程度。模型试算和实际资料测试结果均表明该方法具有可行性。
As density can be used to estimate fluid saturation,it plays an important role in reservoir prediction.However,it is difficult to estimate accurate parameters due to the ill-conditioned nature of inverse problems and the band-limited nature of seismic data.In order to stabilize inversion and improve the reliability and sparsity of inversion result,we add regularization terms to the objective function of probabilistic three-term AVO inversion to estimate P-wave,S-wave impedance and density.Although the regularization strategy is applied,uncertainty in parameter estimation still exits.Thus,we apply uncertainty analysis to determine if the estimation is desirable.At last,the algorithm is tested on synthetic data and seismic data.Both results show that the method is feasible.
As density can be used to estimate fluid saturation,it plays an important role in reservoir prediction.However,it is difficult to estimate accurate parameters due to the ill-conditioned nature of inverse problems and the band-limited nature of seismic data.In order to stabilize inversion and improve the reliability and sparsity of inversion result,we add regularization terms to the objective function of probabilistic three-term AVO inversion to estimate P-wave,S-wave impedance and density.Although the regularization strategy is applied,uncertainty in parameter estimation still exits.Thus,we apply uncertainty analysis to determine if the estimation is desirable.At last,the algorithm is tested on synthetic data and seismic data.Both results show that the method is feasible.
引文
[1]Downton J E.Seismic Parameter Estimation from AVO Inversion[D].Canada:University of Calgary,2005
[2]Downton J E,Laurence R L.Three term AVO wave-form inversion.SEG Technical Program Expanded Abstracts,2004,23:215～218
[3]Buland A,Omre H.Bayesian linearized AVO inver-sion.Geophysics,2003,68(1):185～198
[4]Alemie Wubshet,Mauricio D Sacchi.High-resolution three-term AVO inversion by means of a Trivariate Cauchy probability distribution.Geophysics,2011,76(3):R43～R55
[5]Alemie Wubshet,Mauricio Sacchi.High-resolution three-term AVO inversion via a Trivariate Cauchy probability distribution.SEG Technical Program Expanded Abstracts,2010,29:420～424
[6]张世鑫,印兴耀,张繁昌.基于三变量柯西分布先验约束的叠前三参数反演方法.石油地球物理勘探,2011,46(5):737～743 Zhang Shixin,Yin Xingyao and Zhang Fanchang.Prestack three term inversion method based on Triva-riate Cauchy distribution prior constraint.OGP,2011,46(5):737～743
[7]Berkhout A J.Pushing the limits of seismic imaging;PartⅡ,Integration of prestack migration,velocity es-timation,and AVO analysis.Geophysics,1997,62(3):954～969
[8]Velis D R.Stochastic sparse-spike deconvolution.Geophysics,2008,73(1):R1～R9
[9]杨培杰,印兴耀.非线性二次规划贝叶斯叠前反演.地球物理学报,2008,51(6):1876～1882 Yang Peijie,Yin Xingyao.Non-linear quadratic pro-gramming Bayesian prestack inversion.Chinese Jour-nal of Geophysics,2008,51(6):1876～1882
[10]Sacchi M D.Reweighting strategies in seismic decon-volution.Geophysical Journal International,1997,129(3):651～656
[11]Downton J,David G.AVAZ parameter uncertainty estimation.SEG Technical Program Expanded Ab-stracts,2006,25:234～238
[12]Downton J E,Laurence R L.Constrained three pa-rameter AVO inversion and uncertainty analysis.SEG Technical Program Expanded Abstracts,2001,20:251～254
[13]Downton J E,Laurence R.L.High-resolution AVO analysis before NMO.SEG Technical Program Ex-panded Abstracts,2003,22:219～222
[2]Downton J E,Laurence R L.Three term AVO wave-form inversion.SEG Technical Program Expanded Abstracts,2004,23:215～218
[3]Buland A,Omre H.Bayesian linearized AVO inver-sion.Geophysics,2003,68(1):185～198
[4]Alemie Wubshet,Mauricio D Sacchi.High-resolution three-term AVO inversion by means of a Trivariate Cauchy probability distribution.Geophysics,2011,76(3):R43～R55
[5]Alemie Wubshet,Mauricio Sacchi.High-resolution three-term AVO inversion via a Trivariate Cauchy probability distribution.SEG Technical Program Expanded Abstracts,2010,29:420～424
[6]张世鑫,印兴耀,张繁昌.基于三变量柯西分布先验约束的叠前三参数反演方法.石油地球物理勘探,2011,46(5):737～743 Zhang Shixin,Yin Xingyao and Zhang Fanchang.Prestack three term inversion method based on Triva-riate Cauchy distribution prior constraint.OGP,2011,46(5):737～743
[7]Berkhout A J.Pushing the limits of seismic imaging;PartⅡ,Integration of prestack migration,velocity es-timation,and AVO analysis.Geophysics,1997,62(3):954～969
[8]Velis D R.Stochastic sparse-spike deconvolution.Geophysics,2008,73(1):R1～R9
[9]杨培杰,印兴耀.非线性二次规划贝叶斯叠前反演.地球物理学报,2008,51(6):1876～1882 Yang Peijie,Yin Xingyao.Non-linear quadratic pro-gramming Bayesian prestack inversion.Chinese Jour-nal of Geophysics,2008,51(6):1876～1882
[10]Sacchi M D.Reweighting strategies in seismic decon-volution.Geophysical Journal International,1997,129(3):651～656
[11]Downton J,David G.AVAZ parameter uncertainty estimation.SEG Technical Program Expanded Ab-stracts,2006,25:234～238
[12]Downton J E,Laurence R L.Constrained three pa-rameter AVO inversion and uncertainty analysis.SEG Technical Program Expanded Abstracts,2001,20:251～254
[13]Downton J E,Laurence R.L.High-resolution AVO analysis before NMO.SEG Technical Program Ex-panded Abstracts,2003,22:219～222
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