Statistical Analysis and Probability Theory • Describing Data with Numbers • Probability and Displaying Data with Graphs • Random Variables, Probability Density Function (pdf) • Expectation and Variance • Bivariate Data Analysis • Sample case: preparing a well log plot and identifying correlation Descriptive Geostatistics • Geologic constraints • Univariate distribution and Multi-variate distribution • Gaussian random variables • Random processes in function spaces • Geostatistical Mapping Concepts • Structural Modeling • Cell Based Facies Modeling • Sample case: Analytical interpretation of centrifuge data to determine the relative permeability curve Modeling Uncertainty • Sources of Uncertainty • Deterministic Modeling • Models of Uncertainty • Model and Data Relationship • Model Verification and Model Complexity • Sample case: Reservoir Modeling • Creating Data Sets Using Models • Parameterization of Sub grid Variability Quantifying Uncertainty • Introduction to Monte Carlo methods • Sampling based on experimental design • Gaussian simulation • General sampling algorithms • Simulation methods based on minimization • Sample case: Monte Carlo method for determining oil and gas reserves • Sample case: Multiwell systems calculation using Darcy’s law Visualizing Uncertainty • Distance Methods for Modeling Response Uncertainty • K-means clustering • Estimation using simple kriging • Petrophysical Property Simulation • Sample case: Oil reservoir uncertainty visualization |