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Table of Contents
Preface; Contents; List of Abbreviations and MathematicalSymbols; List of Figures; List of Tables; 1 Introduction-Geostatistical Methods for Integrating Seismic Reflection Data into Subsurface Earth Models; 1.1 Spatial Resolution Gap; 1.2 Seismic Inversion; 2 Fundamental Geostatistical Tools for Data Integration; 2.1 Spatial Continuity Patterns Analysis and Modeling; 2.1.1 Bi-point Statistics; 2.1.2 Complex Morphologic Patterns: Auxiliary and Reference Images; 2.1.3 Spatial Random Fields; 2.1.4 Variograms and Spatial Covariances; 2.1.5 Spatial Representativeness of the Variogram
2.1.6 Spatial Continuity for Multivariate Systems2.1.7 Variogram Modeling Workflow; 2.1.8 Theoretical Variogram Models; 2.1.9 Linear Combinations of Variogram Models: Imbricated Structures; 2.1.10 Co-regionalized Models of Multivariate Systems; 2.2 Estimation Models; 2.2.1 Linear Estimation of Local Statistics; 2.2.2 Probabilistic Model of the Geostatistical Linear Estimator; 2.3 Kriging Estimate; 2.3.1 Kriging System Resolution; 2.4 Linear Estimation of Non-stationary Phenomena: Simple Kriging; 2.5 Co-kriging Estimate
2.6 Co-estimation with a Secondary Variable in a Much Denser Sample Grid: Collocated Co-kriging2.7 Estimation of Local Probability Distribution Functions; 2.7.1 Gaussian Transform of the Experimental Data; 2.8 Estimation of Categorical Variables; 3 Simulation Models of Physical Phenomena in Earth Sciences; 3.1 Stochastic Simulation Models; 3.2 Sequential Simulation Models; 3.3 Sequential Gaussian Simulation; 3.4 Direct Sequential Simulation from Experimental Distributions; 3.4.1 Direct Sequential Simulation; 3.4.2 Direct Sequential Co-simulation
3.4.3 Stochastic Sequential Co-simulation with Joint Probability Distributions3.4.4 Stochastic Simulation with Uncertain Data: DSS with Point Probability Distributions; 3.5 Simulation of Categorical Variables; 3.5.1 Indicator Simulation; 3.5.2 Alternative Simulation Methods for Categorical Variables; 3.5.3 High-Order Stochastic Simulation of Categorical Variables; 4 Integration of Geophysical Data for Reservoir Modeling and Characterization; 4.1 Seismic Inversion; 4.2 Bayesian Framework for Integrating Seismic Reflection Data into Subsurface Earth Models
4.3 Iterative Geostatistical Seismic Inversion Methodologies4.3.1 Frequency Domain of Geostatistical Seismic Inversion; 4.3.2 Trace-by-Trace Geostatistical Seismic Inversion Methodologies; 4.3.3 Global Geostatistical Seismic Inversion Methodologies; 4.3.4 Global Geostatistical Acoustic Inversion; 4.3.5 Global Geostatistical Elastic Inversion; 4.3.6 Geostatistical Seismic AVA Inversion; 4.3.7 Application Example with Geostatistical Seismic AVA Inversion; 4.3.8 Seismic Inversion with Structural Local Models
2.1.6 Spatial Continuity for Multivariate Systems2.1.7 Variogram Modeling Workflow; 2.1.8 Theoretical Variogram Models; 2.1.9 Linear Combinations of Variogram Models: Imbricated Structures; 2.1.10 Co-regionalized Models of Multivariate Systems; 2.2 Estimation Models; 2.2.1 Linear Estimation of Local Statistics; 2.2.2 Probabilistic Model of the Geostatistical Linear Estimator; 2.3 Kriging Estimate; 2.3.1 Kriging System Resolution; 2.4 Linear Estimation of Non-stationary Phenomena: Simple Kriging; 2.5 Co-kriging Estimate
2.6 Co-estimation with a Secondary Variable in a Much Denser Sample Grid: Collocated Co-kriging2.7 Estimation of Local Probability Distribution Functions; 2.7.1 Gaussian Transform of the Experimental Data; 2.8 Estimation of Categorical Variables; 3 Simulation Models of Physical Phenomena in Earth Sciences; 3.1 Stochastic Simulation Models; 3.2 Sequential Simulation Models; 3.3 Sequential Gaussian Simulation; 3.4 Direct Sequential Simulation from Experimental Distributions; 3.4.1 Direct Sequential Simulation; 3.4.2 Direct Sequential Co-simulation
3.4.3 Stochastic Sequential Co-simulation with Joint Probability Distributions3.4.4 Stochastic Simulation with Uncertain Data: DSS with Point Probability Distributions; 3.5 Simulation of Categorical Variables; 3.5.1 Indicator Simulation; 3.5.2 Alternative Simulation Methods for Categorical Variables; 3.5.3 High-Order Stochastic Simulation of Categorical Variables; 4 Integration of Geophysical Data for Reservoir Modeling and Characterization; 4.1 Seismic Inversion; 4.2 Bayesian Framework for Integrating Seismic Reflection Data into Subsurface Earth Models
4.3 Iterative Geostatistical Seismic Inversion Methodologies4.3.1 Frequency Domain of Geostatistical Seismic Inversion; 4.3.2 Trace-by-Trace Geostatistical Seismic Inversion Methodologies; 4.3.3 Global Geostatistical Seismic Inversion Methodologies; 4.3.4 Global Geostatistical Acoustic Inversion; 4.3.5 Global Geostatistical Elastic Inversion; 4.3.6 Geostatistical Seismic AVA Inversion; 4.3.7 Application Example with Geostatistical Seismic AVA Inversion; 4.3.8 Seismic Inversion with Structural Local Models