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Ordinary Cokriging of Additive Log-Ratios for Estimating Grades in Iron Ore Deposits

Risk assessment and economic evaluation of mining projects are mainly affected by the determination ofgrades and tonnages. In the case of iron ore, multiple variables must be determined for ore characterizationwhich estimation must satisfy the original mass balances and stoichiometry among granulometric fractionsand chemical species.Models of these deposits are generally built from estimates obtained using ordinary kriging or cokriging,most time using solely the global grades and determining the ones present at different granulometricpartitions by regression. Alternative approaches include determining the totality of the chemical species anddistributing the closing error or leaving one variable aside and determining it by difference afterwards,adding up the error of previous determinations. Furthermore, the estimates obtained are outside the intervalof the original variables or even exhibiting negative values. These inconsistencies are generally overriddenby post-processing the estimates to satisfy the closed sum condition and positiveness.In this paper, cokriging of additive log-ratios (alr) is implemented to determine global grades of iron,silica, alumina, phosphorous, manganese and loss by ignition and masses of three different granulometricpartitions, providing better results than the ones obtained through cokriging of the original variables, with allthe estimates within the original data values interval and satisfying the considered mass balances

Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada

Other contributions: Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
Author: Boezio, M.N.M.
Costa, J.F.C.L.
Koppe, J.C.
Abstract: Risk assessment and economic evaluation of mining projects are mainly affected by the determination ofgrades and tonnages. In the case of iron ore, multiple variables must be determined for ore characterizationwhich estimation must satisfy the original mass balances and stoichiometry among granulometric fractionsand chemical species.Models of these deposits are generally built from estimates obtained using ordinary kriging or cokriging,most time using solely the global grades and determining the ones present at different granulometricpartitions by regression. Alternative approaches include determining the totality of the chemical species anddistributing the closing error or leaving one variable aside and determining it by difference afterwards,adding up the error of previous determinations. Furthermore, the estimates obtained are outside the intervalof the original variables or even exhibiting negative values. These inconsistencies are generally overriddenby post-processing the estimates to satisfy the closed sum condition and positiveness.In this paper, cokriging of additive log-ratios (alr) is implemented to determine global grades of iron,silica, alumina, phosphorous, manganese and loss by ignition and masses of three different granulometricpartitions, providing better results than the ones obtained through cokriging of the original variables, with allthe estimates within the original data values interval and satisfying the considered mass balances
Document access: http://hdl.handle.net/2072/273651
Language: eng
Publisher: Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
Rights: Tots els drets reservats
Subject: Estadística matemàtica -- Congressos
Mathematical statistics -- Congresses
Geoquímica -- Mètodes estadístics -- Congressos
Geochemistry -- Statistical methods -- Congresses
Geologia -- Mètodes estadístics -- Congressos
Geology -- Statistical methods -- Congresses
Title: Ordinary Cokriging of Additive Log-Ratios for Estimating Grades in Iron Ore Deposits
Type: info:eu-repo/semantics/conferenceObject
Repository: Recercat

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