Reference book – Multiple-point Geostatistics: Stochastic Modeling with Training Images

This page accompanies the book entitled Multiple-point Geostatistics: Stochastic Modeling with Training Images, First Edition, by Gregoire Mariethoz and Jef Caers, © 2014 John Wiley & Sons, Ltd. It can be purchased on the website of Wiley or through other channels such as Amazon or Bookdepository.

On these pages you will find additional resources under the form of a library of training images, links to research codes and updated bibliographic references. These training images are the source files of the examples that we have used in the book, and are available to download and use for testing methods and for benchmarking computer codes.

The book provides a comprehensive introduction to multiple-point geostatistics, where spatial continuity is described using training images. Multiple-point geostatistics aims at bridging the gap between physical modelling/realism and spatio-temporal stochastic modelling. The book provides an overview of this new field in three parts. Part I presents a conceptual comparison between traditional random function theory and stochastic modelling based on training images, where random function theory is not always used. Part II covers in detail various algorithms and methodologies starting from basic building blocks in statistical science and computer science. Concepts such as non-stationary and multi-variate modeling, consistency between data and model, the construction of training images and inverse modelling are treated. Part III covers three example application areas, namely, reservoir modelling, mineral resources modelling and climate model downscaling. This book will be an invaluable reference for students, researchers and practitioners of all areas of the Earth Sciences where forecasting based on spatio-temporal data is performed.

Book contents

Part I

  1. Hiking in the Sierra Nevada
  2. Spatial estimation based on random function theory
  3. Universal kriging with training images
  4. Stochastic simulations based on random function theory
  5. Stochastic simulations without random function theory
  6. Returning to the Sierra Nevada

Part II

  1. Introduction
  2. The algorithmic building blocks
  3. Multiple-point geostatistics algorithms
  4. Markov random fields
  5. Nonstationary modeling with training images
  6. Multivariate modeling with training images
  7. Training image construction
  8. Validation and quality control
  9. Inverse problems with training images
  10. Parallelization

Part III

  1. Reservoir forecasting – the West Coast of Africa (WCA) reservoir
  2. Geological resources modeling in mining
  3. Climate modeling application – the case of the Murray–Darling
    Basin
 

Training images used in the book

 
Below are some of the training images that are employed in the book. They are presented both graphically and in ASCII format. A more extensive training image library can be found on our Github repository.
These images be used freely for research purposes. All files are in GSLIB ASCII format. More details here: http://www.gslib.com/gslib_help/format.html.
Large files are split into several smaller zipped files. To extract them, download all parts to the same folder and then open the .zip file.
Enjoy!

Part I

Picture

Walker Lake exhaustive DEM

Link to file in ASCII format


Picture
100 sample data extracted from the Walker Lake DEM

Link to file in ASCII format


Picture
Rock density in a homogeneous layer of a carbonate reservoir (3D)

Link to file in ASCII format


Picture
Rock density in a heterogeneous deltaic reservoir (3D)

Link to file in ASCII format


Picture
Walker lake exhaustive DEM categorized

Link to file in ASCII format


Picture
Walker lake 100 sample categorized DEM data

Link to file in ASCII format


Picture
Training image, categorized

Link to file in ASCII format


Part II

Picture

1D-temporal grid representing 120 years of daily rainfall measures in Sydney, Australia

Link to file in ASCII format


Picture
2D grid of a satellite image of the Sundarbans region, Bengladesh

Link to file in ASCII format


Picture
3D grid representing the hydrofacies in an alluvial aquifer in the Maules Creek valley, Australia.

Link to file in ASCII format


Picture
Red component, green component and blue component of an image.

Link to file in ASCII format


Picture
Channels training image (Strebelle 2002)

Link to file in ASCII format


Picture
Ganges delta, Bangladesh

Link to file in ASCII format


Picture
2D grid of a satellite image of the Sundarbans region, Bengladesh – transformed in a binary variable.

Link to file in ASCII format


Picture
Two simple training images

Link to file in ASCII format


Picture
Lines with arrows

Link to file in ASCII format


Picture
Elementary training image: categorical 3D layers

Link to file in ASCII format


Picture
Elementary training image: continuous 3D layers

Link to file in ASCII format


Picture
3D categorical folds

Link to file in ASCII format


Picture
3D continuous folds

Link to file in ASCII format


Picture
Multivariate training image
Link to file in ASCII format
 

Picture
Herten training image (Bayer et al. 2011)

Link to file in ASCII format


Picture
FLUVSIM object-based model

Link to file in ASCII format


Picture
Elementary training image – 3D checker

Link to file in ASCII format


Picture
Rotation-invariant simulation – 90 degrees tolerance

Link to file in ASCII format

Picture

Rotation-invariant simulation – 20 degrees tolerance

Link to file in ASCII format


Picture
Reconstruction of sea surface temperature over the Pacific Ocean
Incomplete data and 5 realizations
Link to file in ASCII format
 

Picture
Picture
Stone wall training image

Link to file in ASCII format


Part III

Picture

West Coast of Africa object-based training images

Link to file in ASCII format