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A Geostatistical Simulation of a Mineral Deposit using Uncertain Experimental Data

1
CERENA/DECivil, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049-001 Lisbon, Portugal
2
Departamento de Engenharia de Minas, Universidade Federal do Rio Grande do Sul, 91509-900 Porto Alegre, Brazil
*
Author to whom correspondence should be addressed.
Minerals 2019, 9(4), 247; https://doi.org/10.3390/min9040247
Received: 19 March 2019 / Revised: 8 April 2019 / Accepted: 19 April 2019 / Published: 23 April 2019
(This article belongs to the Section Mineral Deposits)
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Abstract

In the geostatistical modeling and characterization of natural resources, the traditional approach for determining the spatial distribution of a given deposit using stochastic sequential simulation is to use the existing experimental data (i.e., direct measurements) of the property of interest as if there is no uncertainty involved in the data. However, any measurement is prone to error from different sources, for example from the equipment, the sampling method, or the human factor. It is also common to have distinct measurements for the same property with different levels of resolution and uncertainty. There is a need to assess the uncertainty associated with the experimental data and integrate it during the modeling procedure. This process is not straightforward and is often overlooked. For the reliable modeling and characterization of a given ore deposit, measurement uncertainties should be included as an intrinsic part of the geo-modeling procedure. This work proposes the use of a geostatistical simulation algorithm to integrate uncertain experimental data through the use of stochastic sequential simulations with local probability functions. The methodology is applied to the stochastic modeling of a benchmark mineral deposit, where certain and uncertain experimental data co-exist. The uncertain data is modeled by assigning individual probability distribution functions to each sample location. Different strategies are proposed to build these local probability distributions. Each scenario represents variable degrees of uncertainty. The impacts of the different modeling approaches on the final deposit model are discussed. The resulting models of these proposed scenarios are also compared against those retrieved from previous studies that use conventional geostatistical simulation. The results from the proposed approaches showed that using stochastic sequential simulation with local probability functions to represent local uncertainties decreased the estimation error of the resulting model, producing fewer misclassified ore blocks. View Full-Text
Keywords: geostatistical modeling; mineral deposit; uncertain experimental data; direct sequential simulation; local probability functions geostatistical modeling; mineral deposit; uncertain experimental data; direct sequential simulation; local probability functions
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Narciso, J.; Araújo, C.P.; Azevedo, L.; Nunes, R.; Costa, J.F.; Soares, A. A Geostatistical Simulation of a Mineral Deposit using Uncertain Experimental Data. Minerals 2019, 9, 247.

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