2120 XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3
least squares method. This approach ensures a refined fit
between theoretical predictions and empirical observations.
Upon identification of the equation dictating screen effi-
ciency through the pseudo second-order kinetics model, a
nuanced understanding emerges.
This newfound comprehension renders it not only con-
ceivable but also precise to discern the screen efficiency at
any given SAP dosage over time, as depicted in Figure 5.
The chart representation serves as a visual testament to
the dynamic interplay between SAP dosage and screen
efficiency.
Utilizing these pseudo second-order equations, one
can establish the normalized screen efficiency for a specified
time and dosage (Table 2.)
The presented figures indicates that to attain 50% of
normalized screen efficiency with a 10 mm cutoff in 12%
moisture content manganese ore, a minimum duration of 8
minutes of SAP incorporation is required at an SAP dosage
of 900g/t. Based on the established model, the normalized
screen efficiency can potentially attain 100%.
However, when the dosage decreases to 600g/t, a
pronounced escalation of 50% in the time requirement
becomes necessary, with the normalized screen efficiency
plateauing at 87%, as per model predictions. Furthermore,
opting for a more conservative dosage of 300g/t extends the
required time surpassing 5 times the initial duration, while
the maximum achievable efficiency is modelled at 58%.
0
20
40
60
80
100
0 200 400 600 800 1000 1200 1400 1600
Time [s]
Normalised Eu 900g/t Normalised Eu 600g/t Normalised Eu 300g/t
(900g/t) Eut =0,20t /(1 +0,002t)
R2 =0,99
(600g/t) Eut =0,16t /(1 +0,002t)
R2 =0,99
(300g/t) Eut =0,14t /(1 +0,002t)
R2 =0,95
Figure 5. Normalised screen efficiency in time based in PSO SAP kinetics model for three different tested dosages
Table 2. Normalised screen efficiency for given dosages in a certain period of time.
SAP Dosage, g/t
900 600 300
Eue-max Eu, %100,0 86,9 58,0
Time for Eu =50% [min:s] 8:09 12:24 44:10
Time for Eu =80% Eu [min:s] 32:38 105:41
k2* 2,0430·10–5 2,0930·10–5 4,0510·10–5
R
2 0,99 0,99 0,95
SAP PSO kinetics model k
2 :3,2012∙10–4
]%[ycneiciffeneercS
least squares method. This approach ensures a refined fit
between theoretical predictions and empirical observations.
Upon identification of the equation dictating screen effi-
ciency through the pseudo second-order kinetics model, a
nuanced understanding emerges.
This newfound comprehension renders it not only con-
ceivable but also precise to discern the screen efficiency at
any given SAP dosage over time, as depicted in Figure 5.
The chart representation serves as a visual testament to
the dynamic interplay between SAP dosage and screen
efficiency.
Utilizing these pseudo second-order equations, one
can establish the normalized screen efficiency for a specified
time and dosage (Table 2.)
The presented figures indicates that to attain 50% of
normalized screen efficiency with a 10 mm cutoff in 12%
moisture content manganese ore, a minimum duration of 8
minutes of SAP incorporation is required at an SAP dosage
of 900g/t. Based on the established model, the normalized
screen efficiency can potentially attain 100%.
However, when the dosage decreases to 600g/t, a
pronounced escalation of 50% in the time requirement
becomes necessary, with the normalized screen efficiency
plateauing at 87%, as per model predictions. Furthermore,
opting for a more conservative dosage of 300g/t extends the
required time surpassing 5 times the initial duration, while
the maximum achievable efficiency is modelled at 58%.
0
20
40
60
80
100
0 200 400 600 800 1000 1200 1400 1600
Time [s]
Normalised Eu 900g/t Normalised Eu 600g/t Normalised Eu 300g/t
(900g/t) Eut =0,20t /(1 +0,002t)
R2 =0,99
(600g/t) Eut =0,16t /(1 +0,002t)
R2 =0,99
(300g/t) Eut =0,14t /(1 +0,002t)
R2 =0,95
Figure 5. Normalised screen efficiency in time based in PSO SAP kinetics model for three different tested dosages
Table 2. Normalised screen efficiency for given dosages in a certain period of time.
SAP Dosage, g/t
900 600 300
Eue-max Eu, %100,0 86,9 58,0
Time for Eu =50% [min:s] 8:09 12:24 44:10
Time for Eu =80% Eu [min:s] 32:38 105:41
k2* 2,0430·10–5 2,0930·10–5 4,0510·10–5
R
2 0,99 0,99 0,95
SAP PSO kinetics model k
2 :3,2012∙10–4
]%[ycneiciffeneercS