Geostatistical Simulation: Models and Algorithms

✍ Scribed by Dr. Christian Lantuéjoul (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2002
Tongue: English
Leaves: 262
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Within the geoscience community the estimation of natural resources is a challenging topic. The difficulties are threefold: Intitially, the design of appropriate models to take account of the complexity of the variables of interest and their interactions. This book discusses a wide range of spatial models, including random sets and functions, point processes and object populations. Secondly,the construction of algorithms which reproduce the variability inherent in the models. Finally, the conditioning of the simulations for the data, which can considerably reduce their variability. Besides the classical algorithm for gaussian random functions, specific algorithms based on markovian iterations are presented for conditioning a wide range of spatial models (boolean model, Voronoi tesselation, substitution random function etc.) This volume is the result of a series of courses given in the USA and Latin America to civil, mining and petroleum engineers, as well as to gradute students is statistics. It is the first book to discuss geostatistical simulation techniques in such a systematic way.

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-6
Front Matter....Pages 7-7
Investigating stochastic models....Pages 9-19
Variographic tools....Pages 21-28
The integral range....Pages 29-37
Basic morphological concepts....Pages 39-45
Stereology: some basic notions....Pages 47-54
Front Matter....Pages 55-55
Basics about simulations....Pages 57-66
Iterative algorithms for simulation....Pages 67-85
Rate of convergence of iterative algorithms....Pages 87-99
Exact simulations....Pages 101-115
Front Matter....Pages 117-117
Point processes....Pages 119-132
Tessellations....Pages 133-152
Boolean model....Pages 153-166
Object based models....Pages 167-182
Gaussian random function....Pages 183-204
Gaussian variations....Pages 205-220
Substitution random functions....Pages 221-239
Back Matter....Pages 241-256

✦ Subjects

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Environmental Monitoring/Analysis; Mineral Resources; Geophysics/Geodesy

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