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# E-241C - Advanced Multivariate Geostatistics Certification

5 days GRE/GEOSTAT
Level
Audience
• Experienced geoscientists involved in data interpretation and management.
• Recommended for geologists, geophysicists and reservoir engineers involved in integrated reservoir studies.
Purpose
• This course provides participants with a comprehensive technical knowledge and to get familiar with geostatistical methods used in Geophysics, Reservoir Characterization and modeling studies.
Learning Objectives
• Upon completion of the course, participants will be able to:
• have a practical approach to the industrial methodology of reservoir characterization and modeling, in particular with geostatistical tools and methods,
• use geostatistical tools and methods (variograms, kriging, cokriging, external drift, simulations),
• use geostatistical methods for seismic data filtering and Time-to-Depth conversion,
• choose ways for property simulations using geostatistical algorithms: facies (pixel and object methods); petrophysics (gaussian methods),
• constrain 2D or 3D properties distribution using various information (e.g. geology, seismic and dynamic data) of different nature and accuracy,
• use industrial software dedicated for geostatistics.
Prerequisite
• Engineering or geoscience degree, or equivalent professional experience.
Ways and means
• Lectures and hands-on activities
• Practical examples and laboratory exercises will be performed using dedicated software Isatis™

Multivariate data analysis 1 day
• Statistics: distributions, mean, variance, correlation coefficient, linear regression
• Multivariate statistical analysis: PCA, canonical analysis
• Variograms and cross-variogram: the linear model of coregionalization
Cokriging & its variations 1 day
• Kriging theory: building the kriging system of equations, kriging weights behavior, cross-validation
• Generalization of kriging to the multivariate case: cokriging
• Particular case of collocated cokriging
Kriging with auxiliary variables 1 day
• Kriging with trend: universal kriging formalism
• Kriging with external drift
• Comparison between collocated cokriging and Kriging with external drift
• Kriging with Bayesian drift
• Kriging with fuzzy data
Factorial kriging & factorial cokriging 1 day
• Multi-components variograms (univariate and multivariate cases)
• Factorial kriging theory
• Application to data filtering
• Seismic filtering with multiple acquisitions
Geostatistical simulations in the multivariate case 1 day
• Reminder about geostatistical simulations, comparison with kriging
• Theoretical overview of co-simulations of continuous variables
• A multivariate facies simulation method: truncated pluri-gaussian simulations (PGS)
• Complex sedimentary patterns modeling with PGS