Geostatistics with Data of Different Support Applied to Mining Engineering (Topics in Mining, Metallurgy and Materials Engineering)

✍ Scribed by Marcel Antonio Arcari Bassani, João Felipe Coimbra Leite Costa

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 84
• Category: Library

✦ Synopsis

This book explains the integration of data of different support in Geostatistics. There is a common misconception in the mining industry that the data used for estimation/simulation should have the same size or support. However, Geostatistics provides the tools to integrate several types of information that may have different support. This book aims to explain these geostatistical tools and provides several examples of applications. The book is directed for a broad audience, including engineers, geologists, and students in the area of Geostatistics.

✦ Table of Contents

Preface
Contents
Abbreviations
1 Introduction
1.1 Data of Different Support
1.2 Previous Works
References
2 Kriging with Data of Different Support
2.1 Overview of Kriging
2.2 Simple Kriging
2.3 Ordinary Kriging
2.4 Matrix Notation of Kriging
2.5 Block Kriging
2.6 Kriging with Data of Different Support
2.7 Illustrative Example
2.7.1 Sensitivity Analysis
2.7.2 Effect of Nugget Effect
2.7.3 Effect of Variogram Range
2.7.4 Effect of Variogram Shape
2.7.5 Effect of Support of the Samples
References
3 Simulation with Data of Different Support
3.1 Overview of Geostatistical Simulations
3.2 Data of Different Support in Geostatistical Simulation
3.2.1 Continuous Variables
3.2.2 Categorical Variables
3.3 Direct Sequential Simulation with Data of Different Support
3.3.1 Sampling from the Local CCDF
3.4 Sequential Indicator Simulation with Data of Different Support
3.4.1 Indicators for Categorical Variables
3.4.2 Indicator Kriging
3.4.3 Sequential Indicator Simulation with Data of Different Support
References
4 Change of Support in the Variogram
4.1 Experimental Variogram for Data of Different Support
4.2 Variogram Regularization for Blocks of Regular Shape
4.3 Variogram Regularization for Blocks of Irregular Shape
4.4 Variogram Deconvolution
References
5 Case Study of Kriging with Data of Different Support
5.1 Dataset Presentation
5.2 Variogram Analysis and Modeling
5.3 Estimation and Validation
5.4 Comparison Against Kriging Using Point Covariances
5.5 Results
5.5.1 Estimates
5.5.2 Comparison with Kriging Using Point Covariances
References
6 Case Study of Direct Sequential Simulation with Data of Different Support
6.1 Dataset Presentation
6.2 Spatial Continuity Analysis
6.3 Geostatistical Simulations
6.4 Results and Discussion
6.4.1 Realizations
6.4.2 Histogram Reproduction
6.4.3 Variogram Reproduction
6.4.4 Post-processing
References
7 Case Study of Sequential Indicator Simulation with Data of Different Support
7.1 Dataset Presentation
7.2 Methodology
7.3 Average Proportions and Indicators
7.4 Spatial Continuity Analysis
7.5 Geostatistical Simulations
7.6 Results and Discussion
7.6.1 Realizations
7.6.2 Post-processing
References
8 Conclusions