Abstract

Conventionally, mining industry relies on a deterministic view, where a unique mine plan is determined based on a single resource model. A major shortfall of this approach is the inability to assess the risk caused by the well-known geological uncertainty, i.e. the in situ grade and tonnage variability of the mineral deposit. Despite some recent attempts in developing stochastic mine planning models which have demonstrated promising results, the industry still remains sceptical about this innovative idea. With respect to unbiased linear estimation, kriging is the most popular and reliable deterministic interpolation technique for resource estimation and it appears to remain its popularity in the near future. This paper presents a new systematic framework to quantify the risk of kriging-based mining projects due to the geological uncertainties. Firstly, conditional simulation is implemented to generate a series of equally-probable orebody realisations and these realisations are then compared with the kriged resource model to analyse its geological uncertainty. Secondly, a production schedule over the life of mine is determined based on the kriged resource model. Finally, risk profiles of that production schedule, namely ore and waste tonnage production, blending grade and Net Present Value (NPV), are constructed using the orebody realisations. The proposed model was applied on a multi-element deposit and the result demonstrates that that the kriging-based mine plan is unlikely to meet the production targets. Especially, the kriging-based mine plan overestimated the expected NPV at a magnitude of 6.70% to 7.34% (135 M$ to 151 M$). A new multivariate conditional simulation framework was also introduced in this paper to cope with the multivariate nature of the deposit. Although an iron ore deposit is used to prove the concepts, the method can easily be adapted to other kinds of mineral deposits, including surface coal mine.

Highlights

  • A critical task of any mining projects is to construct a threedimensional block model mainly representing the tonnage and grade distribution of the mineralised deposit

  • This paper presents a new systematic framework to quantify the risk of kriging-based mining projects due to the geological uncertainties

  • Several methods for multivariate conditional simulation have been developed in the past decades, including cosimulation (Matheron 1979; Carr and Myers 1985; Verly 1993), Stepwise Conditional Transformation (SCT) (Leuangthong and Deutsch 2003), Principal Component Analysis (PCA) (Switzer and Green 1984; Goovaerts 1993) and Minimum/maximum Autocorrelation Factors (MAF) (Desbarats and Dimitrakopoulos 2000)

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Summary

Introduction

A critical task of any mining projects is to construct a threedimensional block model mainly representing the tonnage and grade distribution of the mineralised deposit. Once the resource block model is available, strategic mine planning is the critical step to the success of a mining project as it decides on the economic output One of those realisations can be true, detecting the correct one is not possible for the time being. Conditional simulation, can be applied in two promising areas: (1) to characterise the geological uncertainty of the kriged resource model and (2) to analyse risk of the kriging-based mine plan against the geological conditions This information is crucial for decision makers and shareholders as a new dimension for analysing the potential of mining projects. A new systematic framework to quantify the geological risk in mining projects is proposed It is followed by the implementation of the prosed framework onto an iron deposit to demonstrate its practical aspects. Because the nature of simulation is random, performing simulation on these two attributes without considering their correlation with other attributes will lead to an unrealistic result (Mai et al 2016)

A new framework for multivariate conditional simulation of iron ore deposits
Implementation of the proposed framework
Utilisation of an in-house strategic mine planning tool
Quantifying risk
Findings
Conclusions
Full Text
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