John Wiley & Sons, 2008. – 161 p. – ISBN: 978-0-470-17792-1
Reliable application of geostatistics for modeling regionalized variables requires knowledge about geostatistics and a lot of practice. There are many styles of learning, but a common thread is that people learn by working through problems. This book provides a set of problems that outline the central themes of geostatistics with worked solutions. Our hope is that this collection of problems will help students gain familiarity with the overarching principles, the common applications, and some of the intricate details of this rich subject.
Preface and AcknowledgmentsPlan of this Book
The Premise of Geostatistics
Nomenclature
Getting Comfortable with ProbabilitiesParametric Probability Distributions
Variance of Linear Combinations
Standardization and Probability Intervals
Obtaining Representative DistributionsBasic Declustering
Debiasing with Bivariate Gaussian Distribution
Comparison of Declustering Methods
Monte Carlo SimulationImpact of the Central Limit Theorem
Bootstrap and Spatial Bootstrap
Transfer of Uncertainty
Variograms and Volume VarianceGeometric Anisotropy
Variogram Calculation
Variogram Modeling and Volume Variance
KrigingStationary Kriging
Nonstationary Kriging
Screening Effect of Kriging
Gaussian SimulationBivariate Gaussian Distribution
Conditioning by Kriging
Gaussian Simulation
IndicatorsVariogram of Objects
Indicator Variograms and the Gaussian Distribution
Indicator Simulation for Categorical Data
Multiple VariablesLinear Model of Coregionalization
Gaussian Cosimulation
Multiscale Cokriging
Special TopicsDecision Making in the Presence of Uncertainty
Trend Model Construction
Multiple Point Statistics
Closing RemarksBibliography
Index