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Relationship between the number of tested samples and the estimation of SAG milling capacity variability

Writer's picture: Leonardo LaraLeonardo Lara

Updated: Sep 18, 2024


Author:

Leonardo Ribeiro Lara


January 2024

Thesis submitted for the Bachelor's Program in Mining Engineering.


Supervisors:

Prof. Dr Homero Delboni Junior and Dr. Marcos de Paiva Bueno


Abstract:

University of São Paulo, Bechelor's Program in Mining Engineering thesis 2023, 54 pp.


This study investigates the impact sample size in the variability of estimating the capacity of a SAG mill. This research is based on an extensive database of over 800 samples gathered from a European mine and tested using the Geopyörä breakage device. The dataset includes crucial comminution parameters such as Axb, DWi, and BWi. This database was used to create simulated hypothetical scenarios, each with a different number of samples from the original database, each scenario was submitted to the same procedure of estimating the mill’s capacity. To calculate the specific energy (Ecs) from the circuit and mill, Ausenco's power-model AusGrind was employed. The results from the AusGrind were then used as inputs for a Monte Carlo simulation to perform the calculations of the SAG mill capacity. The results of each scenario consisted of different sample sizes were then compared to analyse the impact that a reduced number of samples can cause in the variability of a SAG mill capacity.


Key words: Comminution, autogenous milling, Power-model, Breakage tests, Monte Carlo simulation




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