Geostatistical Simulation

Models and Algorithms

  • Christian Lantuéjoul

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Introduction

    1. Christian Lantuéjoul
      Pages 1-6
  3. The tools

    1. Front Matter
      Pages 7-7
    2. Christian Lantuéjoul
      Pages 9-19
    3. Christian Lantuéjoul
      Pages 21-28
    4. Christian Lantuéjoul
      Pages 29-37
    5. Christian Lantuéjoul
      Pages 39-45
    6. Christian Lantuéjoul
      Pages 47-54
  4. The algorithms

    1. Front Matter
      Pages 55-55
    2. Christian Lantuéjoul
      Pages 57-66
    3. Christian Lantuéjoul
      Pages 67-85
    4. Christian Lantuéjoul
      Pages 87-99
    5. Christian Lantuéjoul
      Pages 101-115
  5. The models

    1. Front Matter
      Pages 117-117
    2. Christian Lantuéjoul
      Pages 119-132
    3. Christian Lantuéjoul
      Pages 133-152
    4. Christian Lantuéjoul
      Pages 153-166
    5. Christian Lantuéjoul
      Pages 167-182
    6. Christian Lantuéjoul
      Pages 183-204
    7. Christian Lantuéjoul
      Pages 205-220

About this book

Introduction

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.

Keywords

Conditional Simulations Stereology Stochastic Geometry digital elevation model mining statistics

Authors and affiliations

  • Christian Lantuéjoul
    • 1
  1. 1.Centre de GéostatistiqueÉcole des MinesFontainebleauFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04808-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07582-7
  • Online ISBN 978-3-662-04808-5
  • About this book