Key Takeaways & Executive Findings
- •• A novel method using natural tracers (e.g., rutile) and particle-based separation modeling quantifies true flotation recovery by separating entrainment from overall recovery. • The approach eliminates the need for external tracers or unrealistic flotation conditions, providing a practical and accurate entrainment correction. • In a copper ore case study, entrainment contributed up to 6% of the overall recovery probability for fine, fully liberated chalcopyrite particles. • The method enables more precise evaluation of flotation performance, aiding in process optimization and control.
Abstract
In froth flotation, overall recovery of the floatable particles consists of true recovery and recovery by entrainment, where entrainment refers to the non-selective recovery of particles in the concentrate. To understand and optimize the flotation process with regard to process conditions, it is essential to distinguish true flotation recovery from overall recovery. The established methods rely on tailored flotation experiments, unrealistic flotation conditions, or using external tracers which can be different in density and crystal structure to the mineral(s) of interest. This study presents an approach to utilize naturally occurring suitable tracers to estimate the entrainment component from overall recovery of individual particles by establishing a relationship between their settling velocity coefficient and recovery probability. Recovery probabilities of individual particles are computed using particle-based separation modelling. The approach is demonstrated for a copper ore, where naturally occurring rutile was used as the tracer to determine the entrained component of the overall recovery of chalcopyrite particles. Laboratory flotation experiments revealed that entrainment accounted for up to 6% of the overall recovery probability of fully liberated chalcopyrite particles in the fine size fractions. This approach provides a practical method for entrainment correction enabling a more accurate evaluation of true flotation recovery.
1. Introduction
Froth flotation is an important separation process, allowing the recovery of valuable minerals while rejecting the gangue based on the differences in the physicochemical properties of the particles [1]. In flotation, particles may end up in the concentrate through two processes: true flotation and entrainment. True flotation is a selective process in which hydrophobic particles attach to air bubbles that carry them into the froth zone and subsequently (accounting for froth recovery) into the concentrate. Entrainment is a non-selective process, affecting both hydrophilic and hydrophobic particles, where particles are mechanically transported via the pulp-froth interface following the motion of bubbles and water, irrespective of their surface properties [2–5].
Several theories have been proposed to explain entrainment mechanisms, namely the Boundary Layer Theory [6], Bubble Wake Theory [7], and Bubble Swarm Theory [2,4]. These theories suggest that entrainment is influenced by the state of suspended solids in pulp, the water film around bubbles, the drainage from the froth phase, and consequently the water recovery [4]. Numerous studies have established a strong correlation between water recovery and entrainment [8,9]. This correlation is generally linear for ultrafine particles, whereas coarse particles exhibit a parabolic trend [4]. Therefore, water recovery has become a key parameter in understanding, quantifying, and modeling entrainment in flotation. The ratio between the recovery of particles by entrainment (Rent) and water recovery (Rw) is termed as the degree of entrainment (ENT), as expressed in Eq. (1) [9]:
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Ali Hassan, Martin Rudolph, Luis Vinnett, Kerstin Eckert, Lucas Pereira (2025). An approach to quantify the true flotation recovery of floatable minerals using natural entrainment tracers and particle-based separation modeling. SinoTechIntel Verified Research. https://doi.org/10.1016/j.ijmst.2025.06.012
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Frequently Asked Questions
What is the main challenge in quantifying true flotation recovery?
The main challenge is distinguishing true flotation recovery from overall recovery, which includes entrainment—a non-selective process that recovers particles regardless of their surface properties. Traditional methods often rely on tailored experiments or external tracers that may not accurately represent the mineral of interest.
How does the proposed approach use natural tracers?
The approach uses naturally occurring minerals, such as rutile in copper ore, as tracers. By establishing a relationship between the settling velocity coefficient and recovery probability, the entrainment component can be estimated from the overall recovery of individual particles, avoiding the need for external tracers.
What is the significance of the case study results?
In the case study, entrainment accounted for up to 6% of the overall recovery probability of fully liberated chalcopyrite particles in fine size fractions. This quantifies the impact of entrainment and demonstrates the method's practical utility in correcting for entrainment to obtain true flotation recovery.
What are the advantages of this new method over existing ones?
The method eliminates the need for tailored flotation experiments or unrealistic conditions, and it uses natural tracers that are more representative of the ore. It provides a practical and accurate way to correct for entrainment, enabling better evaluation and optimization of flotation processes.
How can this method be applied in industrial flotation?
The method can be applied to industrial flotation by analyzing particle-based data and using natural tracers present in the ore. It allows for real-time estimation of true flotation recovery, which can help in adjusting process conditions to improve selectivity and recovery of valuable minerals.
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