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Geostatistical Reservoir Characterization Tentative Outline for a 3-Day Course

Course Objectives:

Show connection between probability and statistics
Review of basic (univariate) statistical concepts
Introduce basics of geostatistical application
Reveal tie between geology and geostatistics
Cover benefits of geostatistical procedures

Text: Statistics for Petroleum Engineers and Geoscientists, by Jerry L. Jensen, Larry W. Lake, Patrick M. W. Corbett and David J. Goggin, Prentice Hall, 1996, plus supplementary materials supplied by instructor

Materials: Calculator, linear graph paper, straight-edge ruler and access to spreadsheet (Excel 5.0 or higher).

Audience: Engineers with at least a B.S. degree in petroleum or chemical engineering. All other engineers, mathematicians and physicists with at least a B.S. degree and some experience in reservoir engineering and/or numerical simulation. Geologists with at least a B.S. degree with some quantitative experience or interest.

Day 1 -Review of Fundamentals Time, hrs.
Introductions 1/2
The need for statistics (Chap 1) 1/2
Review of probability (Chap. 2) 1
Applications of probability (Chap. 3) 1/2
Exerc ise: Bayes Theorem for Facies Identification 1
Distribution functions (Chap. 4) 1/2
Exercise: Properties of Lognormal Distributions 1
Petrophysical properties from statistics 1
Mixed distributions (Chap. 4) 1/2
Exercise: Partitioning Populations 1
Day 2 - Elements of Sampling  
Review of previous day 1/2
Estimators and their assessment (Chap. 5) 1/2
Exercise: Properties of Samples 1
Heterogeneity measures (Chap 6) 1/2
Bivariate analysis (Chap. 8) 1/2
Exercise: Generating Bivariate Distribtions 1
Covariance and related measures (Chap. 8) 1
Regression (Chaps 9-10) 1/2
Exercise: The Bias in Permeability-Porosity Plots 1
Day 3 - Statistical Applications  
Review of previous day 1/2
Analysis of Spatial Relations (Chap. 11) 1
Exercise: Calculating Autocorrelation Measures 1
Modeling Geologic Media (Chap. 12) 1
Exercise: Using the Kriging Interpolator 1
Conditional simulation techniques (Chap. 12) 1
Use of Statistics in Reservoir Modeling (Chap. 13) 1
Course summary 1