Abstract:Stochastic inversion of elastic impedance based on Metropolis sampling algorithm is a Monte Carlo based strategy for non-linear inversion,which can effectively integrate the high-frequency information of well-logging data and have a higher resolution.This method is formulated in the Bayesian framework.Firstly,the priori information can be obtained through Fast Fourier Transform-Moving Average (FFT-MA) and Gradual Deformation Method (GDM).Then Metropolis algorithm is employed so as to obtain an exhaustive characterization of the posteriori probability density.FFT-MA is a kind of efficient simulation method.Combined with GDM,it can constantly modify the reservoir model and keep the spatial structure unchanged until it matches the observed seismic data.According to the numerical calculations,it can be concluded that FFT-MA simulation can reduce the time consumption.Combined with GDM updating algorithm,the inversion results can converge rapidly,and the final results match the model well and have a higher resolution.In addition,this method adopts two-step method to invert elastic parameters,so it improves the computational efficiency to some extent.
[1] Chopra S,Castagna J,Portniaguine O.Seismic resolution and thin-bed reflectivity inversion[J].CSEG recorder,2006,31(1):19-25. [2] Sancevero S S,Remacre A Z,de Souza Portugal R,et al.Comparing deterministic and stochastic seismic inversion for thin-bed reservoir characterization in a turbidite synthetic reference model of Campos Basin,Brazil[J].The Leading Edge,2005,24(11):1168-1172. [3] Moyen R,Doyen P M.Reservoir connectivity uncertainty from stochastic seismic inversion//2009 SEG Annual Meeting Society of Exploration Geophysicists,2009. [4] Sams M S,Saussus D.Comparison of uncertainty estimates from deterministic and geostatistical inversion//70th EAGE Conference & Exhibition,2008. [5] Francis A M.Understanding stochastic inversion:part 1[J].First Break,2006,24(11):69-77. [6] Francis A M.Understanding stochastic inversion:part 2[J].First Break,2006,24(12):79-84. [7] Dubrule O.Workshop report:'Uncertainty in reserve estimates' EAGE Conference, Amsterdam[J].Petroleum Geoscience,1996, 2(4): 351-352. [8] Connolly P.Elastic impedance[J].The Leading Edge,1999,18(4):438-452. [9] Whitcombe D N.Elastic impedance normalization[J].Geophysics,2002,67(1):60-62. [10] Whitcombe D N.Extended elastic impedance for fluid and lithology prediction[J].Geophysics,2002,67(1):63-67. [11] 甘利灯,赵邦六,杜文辉,等.弹性阻抗在流体与岩性预测中的潜力分析[J].石油物探,2005,44(5):504-508. [12] 王保丽,印兴耀,张繁昌.弹性阻抗反演及应用研究[J].地球物理学进展,2005,20(1):89-92. [13] 潘仁芳,宋鹏.叠前弹性反演在苏里格气田的应用[J].物探与化探,2010,34(2):237-241. [14] 张广智,郑静静,印兴耀,等.基于Curvelet变换的角度流体因子提取技术[J].物探与化探,2011,35(4):505-510. [15] Kjønsberg H,Hauge R, Kolbjrnsen O,et al.Bayesian Monte Carlo method for seismic predrill prospect assessment[J].Geophysics,2010,75(2):O9-O19. [16] Le Ravalec M,Noetinger B,Hu L Y.The FFT moving average (FFT-MA) generator:An efficient numerical method for generating and conditioning Gaussian simulations[J].Mathematical Geology,2000,32(6):701-723. [17] Hu L Y.Gradual deformation and iterative calibration of Gaussian-related stochastic models[J].Mathematical Geology,2000,32(1):87-108. [18] 桂金咏,印兴耀,曹丹平.基于弹性阻抗反演理论的泊松比反演方法研究[J].石油物探,2011,50(5):463-469. [19] Scales J A,Smith M L,Treitel S.Introductory geophysical inverse theory[M].Samizdat Press,2001. [20] Oliver D S.Moving averages for Gaussian simulation in two and three dimensions[J].Mathematical Geology,1995,27(8):939-960. [21] Journel A G,Huijbregts C J.Mining geostatistics[M].Academic press,1978. [22] Hu L Y,Blanc G.Constraining a reservoir facies model to dynamic data using a gradual deformation method//6th European Conference on the Mathematics of Oil Recovery,1998. [23] Hu L Y,Le Ravalec M,Blanc G,et al.Reducing uncertainties in production forecasts by constraining geological modeling to dynamic data//SPE Annual Technical Conference and Exhibition,Society of Petroleum Engineers,1999. [24] Mosegaard K,Tarantola A.Monte Carlo sampling of solutions to inverse problems[J].Journal of Geophysical Research:Solid Earth (1978–2012),1995,100(B7):12431-12447. [25] Gelman A,Roberts G,Gilks W.Efficient metropolis jumping hules[J].Bayesian statistics,1996,5:599-608.