Foreword | p. ix |

Preface | p. xi |

List of programs | p. xiii |

List of symbols | p. xv |

Introduction | p. 1 |

General overview | p. 5 |

A quick tour of the graphical user interface | p. 5 |

A typical geostatistical analysis using SGeMS | p. 5 |

Loading data into an SGeMS project | p. 8 |

Exploratory data analysis (EDA) | p. 10 |

Variogram modeling | p. 10 |

Creating a grid | p. 12 |

Running a geostatistics algorithm | p. 13 |

Displaying the results | p. 14 |

Post-Processing the results with Python | p. 19 |

Saving the results | p. 21 |

Automating tasks | p. 21 |

Data file formats | p. 23 |

Parameter files | p. 24 |

Defining a 3D ellipsoid | p. 26 |

Geostatistics: a recall of concepts | p. 29 |

Random variable | p. 30 |

Random function | p. 33 |

Simulated realizations | p. 34 |

Estimated maps | p. 37 |

Conditional distributions and simulations | p. 38 |

Sequential simulation | p. 40 |

Estimating the local conditional distributions | p. 42 |

Inference and stationarity | p. 44 |

The variogram, a 2-point statistics | p. 48 |

The kriging paradigm | p. 50 |

Simple kriging | p. 51 |

Ordinary kriging and other variants | p. 54 |

Kriging with linear average variable | p. 57 |

Cokriging | p. 59 |

Indicator kriging | p. 61 |

An introduction to mp statistics | p. 62 |

Two-point simulation algorithms | p. 65 |

Sequential Gaussian simulation | p. 66 |

Direct sequential simulation | p. 67 |

Direct error simulation | p. 68 |

Indicator simulation | p. 69 |

Multiple-point simulation algorithms | p. 71 |

Single normal equation simulation (SNESIM) | p. 71 |

Filter-based algorithm (FILTERSIM) | p. 72 |

The nu/tau expression for combining conditional probabilities | p. 74 |

Inverse problem | p. 79 |

Data sets and SGeMS EDA tools | p. 80 |

The data sets | p. 80 |

The 2D data set | p. 80 |

The 3D data set | p. 81 |

The SGeMS EDA tools | p. 84 |

Common parameters | p. 85 |

Histogram | p. 85 |

Q-Q plot and P-P plot | p. 87 |

Scatter plot | p. 87 |

Variogram computation and modeling | p. 90 |

Variogram computation in SGeMS | p. 92 |

Selecting the head and tail properties | p. 92 |

Computation parameters | p. 93 |

Displaying the computed variograms | p. 98 |

Variogram modeling in SGeMS | p. 98 |

Common parameter input interfaces | p. 101 |

Algorithm panel | p. 101 |

Selecting a grid and property | p. 102 |

Selecting multiple properties | p. 103 |

Search neighborhood | p. 104 |

Variogram | p. 104 |

Kriging | p. 105 |

Line entry | p. 105 |

Non-parametric distribution | p. 106 |

Errors in parameters | p. 108 |

Estimation algorithms | p. 109 |

KRIGING: univariate kriging | p. 109 |

INDICATOR KRIGING | p. 113 |

COKRIGING: kriging with secondary data | p. 119 |

BKRIG: block kriging estimation | p. 122 |

Stochastic simulation algorithms | p. 132 |

Variogram-based simulations | p. 132 |

LUSIM: LU simulation | p. 133 |

SGSIM: sequential Gaussian simulation | p. 135 |

COSGSIM: sequential Gaussian CO-simulation | p. 139 |

DSSIM: direct sequential simulation | p. 143 |

SISIM: sequential indicator simulation | p. 147 |

COSISIM: sequential indicator co-simulation | p. 153 |

BSSIM: block sequential simulation | p. 157 |

BESIM: block error simulation | p. 163 |

Multiple-point simulation algorithms | p. 168 |

SNESIM: single normal equation simulation | p. 169 |

FILTERSIM: filter-based simulation | p. 191 |

Utilities | p. 215 |

TRANS: histogram transformation | p. 215 |

TRANSCAT: categorical transformation | p. 218 |

POSTKRIGING: post-processing of kriging estimates | p. 222 |

POSTSIM: post-processing of realizations | p. 224 |

NU-TAU MODEL: combining probability fields | p. 227 |

BCOVAR: block covariance calculation | p. 228 |

IMAGE PROCESSING | p. 233 |

MOVING WINDOW: moving window statistics | p. 234 |

TIGENERATOR: object-based image generator | p. 237 |

Object interaction | p. 239 |

Scripting, commands and plug-ins | p. 245 |

Commands | p. 245 |

Command lists | p. 246 |

Execute command file | p. 248 |

Python script | p. 249 |

SGeMS Python modules | p. 250 |

Running Python scripts | p. 250 |

Plug-ins | p. 252 |

Bibliography | p. 254 |

Index | p. 260 |

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