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Bayesian linear regression with Gaussian mixture likelihood for outlier detection of metal grades in Porphyry Cu deposit
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  • YUFU NIU,
  • Mark Lindsay,
  • Richard Scalzo,
  • Lequn Zhang,
  • Peter coghill,
  • Kunning Tang
YUFU NIU
CSIRO Mineral Resources

Corresponding Author:[email protected]

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Mark Lindsay
CSIRO
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Richard Scalzo
CSIRO Data61
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Lequn Zhang
CSIRO Mineral Resources
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Peter coghill
Commonwealth Scientific and Industrial Research Organisation (CSIRO)
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Kunning Tang
University of New South Wales
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Abstract

Metal grade, as a critical property, is used during mineral exploration, ore sorting and mineral processing. Geochemical bore core data is the primary source of determining pay and deleterious metal grades. The pay metal grade receives more attention than the deleterious metal grade due to its economic value in determining the profitability and viability of mining projects. However, estimating deleterious metal grades is also crucial for optimising mine planning, ore sorting, stockpiling, and mineral processing. Metal grade usually contains extrema, or “outliers” due to measurement error, latent geological features, and spatial heterogeneity of mineral distribution. The outliers of deleterious metal grades can produce significant regression bias as the outliers are overweighted in traditional regression model. This will further complicate decision-making for ore sorting optimisation and mineral processing resulting in excessive chemical dosage, water, and energy expense.
We present a Bayesian linear regression model with Gaussian mixture likelihood (BLR-GML) to identify deleterious Fe grade outliers in the relationship with pay metals of Cu in a porphyry Cu deposit. Results show that the BLR-GML model dramatically reduces mean square error and provide more accurate inference than maximum likelihood estimation. We also illustrate how outliers are crucial during mine planning and can be used as a cost function when selecting block size and orientation. BLR-GML model offers a reliable way to capture outliers in the linear relationship of metal grades. This is particularly valuable for mineral inference that supports decision-making through the minerals value chain and our goal of sustainable metal supply.
10 Jul 2024Submitted to ESS Open Archive
15 Jul 2024Published in ESS Open Archive