Contents

• Contents
• List of Figures
• List of Tables
• Geostatistics and Applications, Overview
  • The Steps Involved in Proving a Deposit
    • Geological Surveys
    • Systematic Survey on a Large Grid
    • Sampling on a Small Grid
    • Mine Planing
  • The Geostatistical Language
    • Regionalized Variable and Random Function
    • Mean and Variance
    • The Variogram
    • Some Applications
    • The Estimation Variance
    • Confidence Interval
    • Change of Support (Volume)
    • The Dispersion Variance
    • Coregionalizations
    • Simulations of Deposits
    • Case Study, After J.P. Delhomme and P. Delfiner (1973)
    • An Example (Simplified with a Few Numbers)
  • Some Typical Problems and Their Geostatistical Approach
    • Global Estimation
    • Local Estimation
• Basics of Statistics
  • Graphical Presentation
    • Histogram
    • Stem and Leaf Display
  • Characteristic Parameters of a Distribution
    • Location Parameters
    • Quantiles and Percentiles
    • Measures of Dispersion
    • Higher Moments
    • Correlations
    • Arithmetic Mean of Random Variables
    • Illustrations and Examples
  • Some Theoretical Distributions
    • The Normal Distribution N( $/mu ,/sigma ^{2}$)
    • The Lognormal Distribution
• Regionalized Variables
  • Moments, Variograms
  • Stochastic Hypotheses
    • The Hypothesis of Stationarity
    • Strict Stationarity
    • Stationarity of Order 2
    • Intrinsic Hypothesis
    • Example 3.1: Deposit of Copper
  • Computation of a Simple Variogram
• The Variogram
  • Structural Properties
    • Absence of Correlation
    • Properties of the Variogram
    • Nested Structures
    • Behavior of the Variogram Near the Origin
    • Anisotropies
    • Hole-effect Models
    • Coregionalization
  • Computation of a Variogram
    • Data Aligned and Regularly Spaced
    • Aligned but Irregularly Spaced Data
    • Non-aligned Data
  • Variogram Models and Their Fitting
    • Models with a Sill, or Transition Models
    • Models without a Sill
  • Fitting of a Spherical Variogram Model
• Variances and Regularization
  • Estimation Error, Estimation Variance
  • Dispersion Variance
    • Calculation of the dispersion variance
  • Regularization and Estimation Variance
    • Regularization by Cores along a Bore-hole
• Estimation of Resources
  • The Kriging Estimator
    • Non-bias Condition
    • Minimum Estimation Variance
    • Matrix Form
    • Discussion
  • Point Kriging
  • Block Kriging
  • Case Study: 3-dimensional Kriging with an Older Computer Program
• Simulation of Deposits
  • Conditioning
    • Conditioning of a Simulation
  • Simulation of an Unconditional Random Function
    • The ``Turning Bands'' Method
    • Non-conditional Simulation in one Dimension
  • Fallstudie: Kohlelagerstätte
• Bibliography
• About this document ...