Geostatistics Modeling Spatial Uncertainty

by Chilè; s, Jean-Paul; Delfiner, Pierre

• ISBN13: 9780470183151
• ISBN10: 0470183152
• Edition: 2nd
• Format: Hardcover
• Copyright: 2012-03-26
• Publisher: Wiley

Summary

This second edition of the classic text incldues data and methods in a way that is approachable to practitioners and those new to the field.This update edition removes information and data that have lost relevance with time, while maintaining timeless, core methods and integrating them with new developments to the field. The authors employ an applied focus on new aspects of the field of geostatistics including kernal methods, extreme values geostatistics, and modeling in geo-chronologic space. Along with providing updated information, the authors acknowledge the scientific and statistical challenges that stem from these new models, and stress the growth and promise that geostatistics can provide to these unanswered questions.

Author Biography

Geostatistics, Second Edition is an excellent book for courses on the topic at the graduate level. It also serves as an invaluable reference for earth scientists, mining and petroleum engineers, geophysicists, and environmental statisticians who collect and analyze data in their everyday work. Jean-Paul Chiles is Deputy Director of the Center of Geosciences and Geoengineering at Mines Paris Tech, France. Pierre Delfiner is Principal of Petro Decisions, a consulting firm based in Paris, France.

Table of Contents

Preface to the Second Edition	p. ix
Preface to the First Edition	p. xiii
Abbreviations	p. xv
Introduction	p. 1
Types of Problems Considered	p. 2
Description or Interpretation?	p. 8
Preliminaries	p. 11
Random Functions	p. 11
On the Objectivity of Probabilistic Statements	p. 22
Transitive Theory	p. 24
Structural Analysis	p. 28
General Principles	p. 28
Variogram Cloud and Sample Variogram	p. 33
Mathematical Properties of the Variogram	p. 59
Regularization and Nugget Effect	p. 78
Variogram Models	p. 84
Fitting a Variogram Model	p. 109
Variography in the Presence of a Drift	p. 122
Simple Applications of the Variogram	p. 130
Complements: Theory of Variogram Estimation and Fluctuation	p. 138
Kriging	p. 147
Introduction	p. 147
Notations and Assumptions	p. 149
Kriging with a Known Mean	p. 150
Kriging with an Unknown Mean	p. 161
Estimation of a Spatial Average	p. 196
Selection of a Kriging Neighborhood	p. 204
Measurement Errors and Outliers	p. 216
Case Study: The Channel Tunnel	p. 225
Kriging Under Inequality Constraints	p. 232
Intrinsic Model of Order k	p. 238
Introduction	p. 238
A Second Look at the Model of Universal Kriging	p. 240
Allowable Linear Combinations of Order k	p. 245
Intrinsic Random Functions of Order k	p. 252
Generalized Covariance Functions	p. 257
Estimation in the IRF Model	p. 269
Generalized Variogram	p. 281
Automatic Structure Identification	p. 286
Stochastic Differential Equations	p. 294
Multivariate Methods	p. 299
Introduction	p. 299
Notations and Assumptions	p. 300
Simple Cokriging	p. 302
Universal Cokriging	p. 305
Derivative Information	p. 320
Multivariate Random Functions	p. 330
Shortcuts	p. 360
Space-Time Models	p. 370
Nonlinear Methods	p. 386
Introduction	p. 386
Global Point Distribution	p. 387
Local Point Distribution: Simple Methods	p. 392
Local Estimation by Disjunctive Kriging	p. 401
Selectivity and Support Effect	p. 433
Multi-Gaussian Change-of-Support Model	p. 445
Affine Correction	p. 448
Discrete Gaussian Model	p. 449
Non-Gaussian Isofactorial Change-of-Support Models	p. 466
Applications and Discussion	p. 469
Change of Support by the Maximum (C. Lantuéjoul)	p. 470
Conditional Simulations	p. 478
Introduction and Definitions	p. 478
Direct Conditional Simulation of a Continuous Variable	p. 489
Conditioning by Kriging	p. 495
Turning Bands	p. 502
Nonconditional Simulation of a Continuous Variable	p. 508
Simulation of a Categorical Variable	p. 546
Object-Based Simulations: Boolean Models	p. 574
Beyond Standard Conditioning	p. 590
Additional Topics	p. 606
Case Studies	p. 615
Appendix	p. 629
References	p. 642
Index	p. 689
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