A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty

Uncertainty is intrinsic to mine design and planning and introduces risk into the process. Nonetheless, most mine design and planning processes have historically been undertaken as deterministic processes, often resulting in unrealistic mine designs and plans which potentially lead to the destructio...

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Main Authors: Tinashe Tholana, Cuthbert Musingwini
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Minerals
Subjects:
Online Access:https://www.mdpi.com/2075-163X/12/4/437
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author Tinashe Tholana
Cuthbert Musingwini
author_facet Tinashe Tholana
Cuthbert Musingwini
author_sort Tinashe Tholana
collection DOAJ
description Uncertainty is intrinsic to mine design and planning and introduces risk into the process. Nonetheless, most mine design and planning processes have historically been undertaken as deterministic processes, often resulting in unrealistic mine designs and plans which potentially lead to the destruction of shareholder value. This paper presents a probabilistic block economic value (BEV) calculation approach to minimise the shortcoming of using deterministic BEVs, and evaluates the impact of uncertainty on stope designs. The probabilistic BEV calculation approach was applied to a synthetic geological block model of a gold mineral deposit. The uncertainty associated with BEV input parameters was simulated using Monte Carlo simulation to create equally probable economic orebody models which were then used to create stope designs at different levels of risk. The probabilistic approach generated 20% to 53% higher net present values (NPVs) compared to the deterministic approach within 30% to 70% probability range. This indicates that, for the case study deposit, blocks with approximately 30% to 70% probability of having positive BEVs are the ones that should be used for mine design and planning. The results demonstrate that incorporating uncertainty early in underground mine design and planning potentially creates higher-value stopes.
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spelling doaj.art-ac7db0d31301470f9f613d3af854afcd2023-11-30T21:36:22ZengMDPI AGMinerals2075-163X2022-03-0112443710.3390/min12040437A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under UncertaintyTinashe Tholana0Cuthbert Musingwini1School of Mining Engineering, University of the Witwatersrand, Johannesburg 2050, South AfricaSchool of Mining Engineering, University of the Witwatersrand, Johannesburg 2050, South AfricaUncertainty is intrinsic to mine design and planning and introduces risk into the process. Nonetheless, most mine design and planning processes have historically been undertaken as deterministic processes, often resulting in unrealistic mine designs and plans which potentially lead to the destruction of shareholder value. This paper presents a probabilistic block economic value (BEV) calculation approach to minimise the shortcoming of using deterministic BEVs, and evaluates the impact of uncertainty on stope designs. The probabilistic BEV calculation approach was applied to a synthetic geological block model of a gold mineral deposit. The uncertainty associated with BEV input parameters was simulated using Monte Carlo simulation to create equally probable economic orebody models which were then used to create stope designs at different levels of risk. The probabilistic approach generated 20% to 53% higher net present values (NPVs) compared to the deterministic approach within 30% to 70% probability range. This indicates that, for the case study deposit, blocks with approximately 30% to 70% probability of having positive BEVs are the ones that should be used for mine design and planning. The results demonstrate that incorporating uncertainty early in underground mine design and planning potentially creates higher-value stopes.https://www.mdpi.com/2075-163X/12/4/437block economic value (BEV)uncertaintyriskMonte Carlo simulationprobability stopes
spellingShingle Tinashe Tholana
Cuthbert Musingwini
A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty
Minerals
block economic value (BEV)
uncertainty
risk
Monte Carlo simulation
probability stopes
title A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty
title_full A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty
title_fullStr A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty
title_full_unstemmed A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty
title_short A Probabilistic Block Economic Value Calculation Method for Use in Stope Designs under Uncertainty
title_sort probabilistic block economic value calculation method for use in stope designs under uncertainty
topic block economic value (BEV)
uncertainty
risk
Monte Carlo simulation
probability stopes
url https://www.mdpi.com/2075-163X/12/4/437
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