Petroleum Geostatistics

For reservoir evaluation, general reservoir information and reservoir -speciic observations are available. The importance of establishing a prior model for the reservoir characteristics which reeects the overall uncertainty is emphasized. Moreover, likelihood functions which represent the data collection procedures are formally deened. The integration of the information is done in a Bayesian framework. The requirement that sampling from the posterior must be possible put serious constraints on the model formulation. These constraints are thoroughly discussed.

[1]  Henning Omre,et al.  The Bayesian bridge between simple and universal kriging , 1989 .

[2]  J. Heikkinen,et al.  Fully Bayesian Approach to Image Restoration with an Application in Biogeography , 1994 .

[3]  Ronald J. Jaszczak,et al.  Fully Bayesian estimation of Gibbs hyperparameters for emission computed tomography data , 1997, IEEE Transactions on Medical Imaging.

[4]  Henning Omre,et al.  Stochastic Simulation and Conditioning by Annealing in Reservoir Description , 1994 .

[5]  Henning Omre,et al.  Uncertainty Assessment In History Matchingand Forecasting , 1997 .

[6]  Introducing More Geology in Stochastic Reservoir Modelling , 1993 .

[7]  Andre G. Journel,et al.  Modeling Uncertainty: Some Conceptual Thoughts , 1994 .

[8]  L. Lake,et al.  A New Approach to Shale Management in Field-Scale Models , 1984 .

[9]  Henning Omre,et al.  Uncertainties in reservoir production forecasts , 1997 .

[10]  MARKED POINT MODELS FOR FACIES UNITS CONDITIONED ON WELL DATA , 1996 .

[11]  J. Gómez-Hernández,et al.  Joint Sequential Simulation of MultiGaussian Fields , 1993 .

[12]  Henning Omre,et al.  Simulation of Random Functions on Large Lattices , 1993 .

[13]  Damsleth Elvind,et al.  Maximum Information at Minimum Cost: A North Sea Field Development Study With an Experimental Design , 1992 .

[14]  H. Omre,et al.  Stochastic Reservoir Characterization Conditioned On Seismic Data , 1996 .

[15]  J. Besag,et al.  Spatial Statistics and Bayesian Computation , 1993 .

[16]  Clayton V. Deutsch Conditioning Reservoir Models to Well Test Information , 1993 .

[17]  G. C. Tiao,et al.  Bayesian inference in statistical analysis , 1973 .

[18]  J. Rosenthal Minorization Conditions and Convergence Rates for Markov Chain Monte Carlo , 1995 .