Dynamic simulator of a rougher flotation circuit for a copper sulphide ore

Casali, A.; González, Guillermo; Agusto, H.; Vallebuona, G.

doi:10.1016/s0892-6875(02)00016-x

Cited by 39 publications

(13 citation statements)

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“…Empirical models are often combined with phenomenological, in order to make the simulation process model as efficient as possible (Kuopanportti et al, 2000;Casali et al, 2002;Bakker et al, 2010).…”

Section: Empirical Modelsmentioning

confidence: 99%

Section: Population-balance Modelsmentioning

confidence: 99%

“…Flotation models can be generally divided into two categories: empirical and phenomenological models (Polat & Chander, 2000;Casali et al, 2002;Rojas & Cipriano, 2011 (Polat & Chander, 2000), but it should be noted that setting the clear boundaries in classification is often not possible. For example, the population-balance models can be viewed as the separate type of kinetic models, where the principles based on the probability of certain flotation subprocesses occurrence are often used.…”

Section: Introductionmentioning

confidence: 99%

“…In the micro-scale models, the sub-processes of the flotation system are identified and used to determine the cause and effect relationships between the system variables. In macro-scale modelling, the overall response of the flotation system is related to various operating parameters through a set of mathematical equations or rules and expressions of soft computing.Flotation models can be generally divided into two categories: empirical and phenomenological models (Polat & Chander, 2000;Casali et al, 2002;Rojas & Cipriano, 2011 (Polat & Chander, 2000), but it should be noted that setting the clear boundaries in classification is often not possible. For example, the population-balance models can be viewed as the separate type of kinetic models, where the principles based on the probability of certain flotation subprocesses occurrence are often used.…”

mentioning

confidence: 99%

“…); j -correspond to the mineral particle size; i -correspond to the mineral particle composition. The population-balance approach in flotation process macro-scale modelling was applied also by Bloom and Heindel (1997), Sosa-Blanco et al (1999), Casali et al (2002 and Sbarbaro et al (2008).Modelling of subprocesses in the flotation system by population-balance approach is, according to the available literature data, mostly reduced to predicting the distribution of air bubbles in the system (Deglon et al, 1999;Sawyerr et al, 1998; Koh & Schwarz, 2008).Finally, it should be stated that the given classification of classical flotation models is not strict. Namely, due to the flotation process complexity, i.e.…”

mentioning

confidence: 99%

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Modelling Of Flotation Processes By Classical Mathematical Methods – A Review

Jovanović¹,

Miljanović²

2015

Archives of Mining Sciences

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Flotation process modelling is not a simple task, mostly because of the process complexity, i.e. the presence of a large number of variables that (to a lesser or a greater extent) affect the final outcome of the mineral particles separation based on the differences in their surface properties. The attempts toward the development of the quantitative predictive model that would fully describe the operation of an industrial flotation plant started in the middle of past century and it lasts to this day. This paper gives a review of published research activities directed toward the development of flotation models based on the classical mathematical rules. The description and systematization of classical flotation models were performed according to the available references, with emphasize exclusively given to the flotation process modelling, regardless of the model application in a certain control system. In accordance with the contemporary considerations, models were classified as the empirical, probabilistic, kinetic and population balance types. Each model type is presented through the aspects of flotation modelling at the macro and micro process levels.Keywords: flotation, mathematical modelling, empirical models, probabilistic models, population-balance models, kinetic modelsModelowanie procesów flotacji nie jest zagadnieniem prostym, głównie z uwagi na skomplikowany charakter samego procesu, czyli znaczną liczbę zmiennych które, w mniejszym lub w większym stopniu, mają wpływ na końcowy wynik procesu separacji cząstek materiału wykorzystującego różnice w ich właściwościach powierzchniowych. Próby stworzenia ilościowego modelu predyktywnego który w sposób pełny opisywałby przemysłowe procesy flotacji podjęto w połowie ubiegłego wieku a badania trwają po dzień dzisiejszy.W artykule przedstawiono przegląd działalności badawczej podejmowanej w celu opracowania modelu procesu flotacji opartego o zasady matematyki klasycznej. Opisu i systematyki modeli flotacji dokonano w oparciu o dostępną literaturę przedmiotu, główny nacisk kładąc na te modele, które wykorzystywane były wyłącznie do analizy procesu flotacji, bez względu na możliwość ich zastosowania także w układach sterowania. Zgodnie z obecnymi założeniami, modele sklasyfikowano jako empiryczne, probabilistyczne, kinetyczne oraz modele równowagi populacji. Każdy model zaprezentowany jest w kontekście modelowania procesu flotacji, z uwzględnieniem skali mikro oraz makro.Słowa kluczowe: flotacja, modelowanie matematyczne, modele empiryczne, modele probabilistyczne, modele równowagi populacji, modele kinetyczne IntroductionThe underlying principles of the flotation process are well established, but, according to the reports from many researchers, it is very hard to create the quantitative predictive models that can be used to simulate the operation of flotation cells in typical industrial circuits. The reason for these difficulties lies in the complexity of the many microprocesses and their mutual interactions influencing overall result, which is the separation of d...

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Section: Empirical Modelsmentioning

confidence: 99%