Geostatistical Simulations Models and Algorithms

About this book

This book deals with the estimation of natural ressources using a Monte Carlo methodology. It includes a set of tools to describe the morphological, statistical and stereological properties of spatial random models. Furthermore the author presents a wide range of spatial models, including random sets and functions, point processes and object populations applicable to the geosciences. This book results from a series of courses given in the USA and Latin America to civil, mining and petroleum engineers as well as graduate students in statistics. It is the first book discussing the geostatistical simulation techniques in such a specific way.

Contents

From the contents: The Tools: Investigating stochastic models; Definition of a probability space; Random functions, sets etc; Variographic tools; The covariograms; The covariance function and the variogram; The integral range; Basic morphological concepts; Stereology - Some basic notions.- The Algorithms: Basics about simulations; Uniform distributions; Non-uniform distribution; Iterative algorithms for simulation; Rate of convergence of iterative algorithms; Exact simulations.- The Models: Point processes; Tesselations; Boolean model; Object based models; Gaussian random function; Gaussian variations; Substitution random functions.

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