journal article·2025-09-30Open access

New Methodology for Evaluating Uncertainty in Mineral Resource Estimation

José Alberto Arias, Alain Carballo, Elmidio Estévez, Reinaldo Rojas, Domingo A. Martín, Jorge L. Costafreda

Applied Sciences· Volume 15· Issue 19

Abstract

Geological modeling is generally based on deterministic models, which provide a single representation of reality. Probabilistic modeling is more appropriate when quantifying or understanding the uncertainty associated with a parameter of interest as it considers several equally probable geological scenarios. The object of this study is to quantify the uncertainty in the estimation of the minerals in the Punta Alegre gypsum deposit, by applying a new method based on the simple normal equation geostatistical simulation technique. The Punta Alegre gypsum deposit is a sedimentary deposit of clastic origin, formed by the complex redeposition of salts, gypsum and other sediments. To carry out this research, 50 equiprobable scenarios were simulated, reproducing overburden, gypsum series (different types of gypsum) and intercalated non-mineral lithologies (limestone and other rocks) in a network of nodes measuring 5 × 5 × 5 m, using a training image, composites and prior probability maps as input data. As a result of scaling the previously simulated geological units, three-dimensional models of volume proportions and estimation error for gypsum were obtained for panels measuring 10 × 10 × 5 m. The quantification of the uncertainty of the gypsum volume, determined by the root mean square error, established that the volume estimation error is small at a global scale (6.51%), given that there is no significant variation when comparing the deterministic model with the gypsum proportion model obtained from the 50 simulated scenarios. Conversely, at the local scale, there is a significant variation in gypsum volume of 42% in the 10 × 10 × 5 m panels with a future impact on recoverable mining resources, given the uncertainty at a local scale, which will cause an increase in mining dilution due to the inclusion of non-mineral lithologies within the extracted mineral that will be sent to the processing plant. On the other hand, it will cause changes in the mining company’s plan in areas where there are panels that were previously accounted for by the deterministic model as minerals and are not actually exploitable.
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Research context

OpenAlex topics: Geochemistry and Geologic Mapping · Soil Geostatistics and Mapping · Reservoir Engineering and Simulation Methods

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Affiliations

Oficina Nacional de Recursos Minerales, Calzada 852 Esq.4, Municipio Plaza de la Revolución, Vedado, La Habana 10300, Cuba

Departamento de Geología, Universidad de Moa “Dr. Antonio Núñez Jiménez”, Calixto García Iñiguez No 15, entre Ave 7 Diciembre y calle Reynaldo Laffita Rueda, Reparto Caribe, Moa, Holguín 15, Cuba

Departamento de Geología, Universidad de Pinar del Rio, ”Hermanos Saíz Montes de Oca”, Calle Martí, No 300, Barrio Segundo Sur, entre 27 de Noviembre y González Alcorta, Pinar del Rio 20100, Cuba

Centro de Investigaciones del Petróleo, Churruca No 481, entre Washington y Vía Blanca, Municipio Cerro, La Habana 12000, Cuba

Escuela Técnica Superior de Ingenieros de Minas y Energía, Universidad Politécnica de Madrid, 28003 Madrid, Spain

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