Stochastic reservoir characterization using prestack seismic data

Reservoir characterization must be based on information from various sources. Well observations, seismic reflection times, and seismic amplitude versus offset (AVO) attributes are integrated in this study to predict the distribution of the reservoir variables, i.e., facies and fluid filling. The prediction problem is cast in a Bayesian setting. The a priori model includes spatial coupling through Markov random field assumptions and intervariable dependencies through nonlinear relations based on rock physics theory, including Gassmann's relation. The likelihood model relating observations to reservoir variables (including lithology facies and pore fluids) is based on approximations to Zoeppritz equations. The model assumptions are summarized in a Bayesian network illustrating the dependencies between the reservoir variables. The posterior model for the reservoir variables conditioned on the available observations is defined by the a priori and likelihood models. This posterior model is not analytically tra...

[1]  A. Buland,et al.  Bayesian linearized AVO inversion , 2003 .

[2]  T. Mukerji,et al.  A rock physics strategy for quantifying uncertainty in common hydrocarbon indicators , 1998 .

[3]  A. Berkhout,et al.  An integrated approach to lithologic inversion; Part I, Theory , 1992 .

[4]  Tapan Mukerji,et al.  Seismic reservoir prediction using Bayesian integration of rock physics and Markov random fields: A North Sea example , 2002 .

[5]  B. Ursin,et al.  Prediction of Reservoir Variables Based on Seismic Data and Well Observations , 2002 .

[6]  Tapan Mukerji,et al.  Seismic reservoir mapping from 3-D AVO in a North Sea turbidite system , 2001 .

[7]  W. J. Ostrander Plane-wave reflection coefficients for gas sands at nonnormal angles of incidence , 1984 .

[8]  Bradley P. Carlin,et al.  BAYES AND EMPIRICAL BAYES METHODS FOR DATA ANALYSIS , 1996, Stat. Comput..

[9]  J. Besag Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .

[10]  Håkon Tjelmeland,et al.  Markov Random Fields with Higher‐order Interactions , 1998 .

[11]  R. T. Shuey,et al.  A simplification of the Zoeppritz equations , 1985 .

[12]  O. Dubrule,et al.  Geostatistical inversion - a sequential method of stochastic reservoir modelling constrained by seismic data , 1994 .

[13]  J. Castagna,et al.  Framework for AVO gradient and intercept interpretation , 1998 .

[14]  John Odentrantz,et al.  Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues , 2000, Technometrics.

[15]  Tapan Mukerji,et al.  Geostatistical integration of rock physics, seismic amplitudes, and geologic models in North Sea turbidite systems , 2001 .

[16]  Richard T. Houck,et al.  Quantifying the uncertainty in an AVO interpretation , 2002 .

[17]  Jun S. Liu,et al.  Monte Carlo strategies in scientific computing , 2001 .

[18]  Tadeusz J. Ulrych,et al.  A Bayes tour of inversion: A tutorial , 2001 .

[19]  Philippe Marie Doyen,et al.  Porosity from seismic data: A geostatistical approach , 1988 .