Models for Support and Information Effects: A Comparative Study |
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Authors: | Xavier Emery and Juan F Soto Torres |
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Institution: | (1) Department of Mining Engineering, University of Chile, Avenida Tupper 2069, Santiago, Chile;(2) Department of Mining Engineering, University of Chile, Santiago, Chile |
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Abstract: | The recoverable reserves in an ore deposit depend on several factors, in particular the size of the selective mining units (support effect) and the misclassifications when sending these units to mill or dump according to their estimated grade (information effect). Both effects imply a loss of selectivity and have to be correctly forecasted. In this work, several models are reviewed and applied to a synthetic ore deposit characterized by a highly skewed grade histogram and a spatial connectivity of high grades. The affine correction, mosaic correction, and discrete Gaussian model are compared when assessing the global recoverable reserves, whereas local estimations are performed by indicator kriging with affine correction, bigaussian disjunctive kriging, and multigaussian conditional expectation. Despite their convenience and simplicity, distribution-free methods like affine correction or indicator kriging have a poorer accuracy than the other methods. In the global framework, the discrete Gaussian model is a better alternative and is based on mild assumptions. Local estimations are not accurate and may be improved by resorting to a more suitable parametric model or to conditional simulations. |
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Keywords: | affine correction discrete Gaussian model indicator kriging disjunctive kriging conditional expectation selectivity curves |
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