THREE ROUGHERS BANKS CALCULATIONS:

The below calculations apply to:

Sequential rougher flotation of a polymetallic ore (e.g., copper, lead and zinc rougher circuits).

Rougher-scavenger followed by another rougher circuit (e.g., lead rougher scavenger plus zinc rougher).

Preflotation followed by rougher-scavenger or two rougher circuits

The first two rougher circuits tailings and feed streams are calculated from the concentrates and final tailing.

To use:

Enter the rougher 1 and rougher 2 concentrates names, flotation time, weights and assays from concentrate 1 (first row) to the last concentrate (last row).

Enter the rougher 3 concentrates and tailing names, concentrates flotation time, weights and assays.

The flotation times are not cumulative (no flotation time for the tailing).

Select the value element/mineral to plot the selectivity curves for each flotation circuit.

Provide one element/mineral grade at which cumulative recoveries for each circuit should be tabulated.

Provide one element/mineral recovery at which cumulative grades for each circuit should be tabulated.

Specify if the flotation kinetics are to be calculated (using regression techniques).

Click on "Mass balance" button to calculate the cumulative data and plot graphs.

Click on "Download results in Excel" button to save the results.

The cumulative recoveries are calculated with respect to each circuit feed.
The calculation of iron sulphide (IS) and non sulphide gangue (NSG) assays can be completed at the Metallurgical.App website.

Rougher 1 circuit

Rghr.1 Cons. names

Con. Flot. time (min)

Dry weights (g)

Cu (%)

Pb (%)

Zn (%)

Ni (%)

S (%)

Fe (%)

Au (g/t)

Ag (g/t)

Bi (g/t)

Mo (g/t)

PGMs (g/t)

As (%)

SiO2 (%)

MgO (%)

Al2O3 (%)

CaO (%)

Fe2O3 (%)

Li2O (%)

K2O(%)

F (%)

U (g/t)

C (%)

IS (%)

NSG (%)

Cu Ro Con 1 Cu Ro Con 2 Cu Ro Con 3 Cu Ro Con 4

0.5 1 1.5 3

17.8 25.2 18.1 52.6

24.15 14.04 8 4.21

0.51 0.34 0.48 0.21

0.15 0.21 0.15 0.32

Plot rougher 1 selectivity curves against: --Select valuable -- Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C

Calculate rougher 1 recoveries at: % or g/t Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C IS NSG grade.   |   Calculate rougher 1 grades at: % Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C IS NSG recovery.
Calculate rougher 1 flotation kinetics: R = R_max[1-exp^(-kt)] (these regressions may take time)

Rougher 2 circuit

Rghr.2 Cons.

Con. Flot. time (min)

Dry weights (g)

Cu (%)

Pb (%)

Zn (%)

Ni (%)

S (%)

Fe (%)

Au (g/t)

Ag (g/t)

Bi (g/t)

Mo (g/t)

PGMs (g/t)

As (%)

SiO2 (%)

MgO (%)

Al2O3 (%)

CaO (%)

Fe2O3 (%)

Li2O (%)

K2O(%)

F (%)

U (g/t)

C (%)

IS (%)

NSG (%)

Pb Ro Con 1 Pb Ro Con 2 Pb Ro Con 3 Pb Ro Con 4

0.5 1 1.5 3

17.8 25.2 18.1 52.6

0.15 0.21 0.15 0.32

58.2 45.4 39.3 35.2

0.51 0.34 0.48 0.21

Plot rougher 2 selectivity curves against: --Select valuable -- Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C

Calculate rougher 2 recoveries at: % or g/t Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C IS NSG grade.   |   Calculate rougher 2 grades at: % Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C IS NSG recovery.
Calculate rougher 2 flotation kinetics: R = R_max[1-exp^(-kt)] (these regressions may take time)

Rougher 3 circuit

Rghr.3 Cons. & Tail

Con. Flot. time (min)

Dry weights (g)

Cu (%)

Pb (%)

Zn (%)

Ni (%)

S (%)

Fe (%)

Au (g/t)

Ag (g/t)

Bi (g/t)

Mo (g/t)

PGMs (g/t)

As (%)

SiO2 (%)

MgO (%)

Al2O3 (%)

CaO (%)

Fe2O3 (%)

Li2O (%)

K2O(%)

F (%)

U (g/t)

C (%)

IS (%)

NSG (%)

Zn Ro Con 1 Zn Ro Con 2 Zn Ro Con 3 Zn Ro Con 4 Zn Ro Tail

0.5 1 1.5 3 4

17.8 25.2 18.1 52.6 800

0.15 0.21 0.15 0.32 0.15

0.15 0.21 0.15 0.32 0.15

55 50.21 43.15 40.32 0.65

Plot rougher 3 selectivity curves against: --Select valuable -- Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C

Calculate rougher 3 recoveries at: % or g/t Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C IS NSG grade.   |   Calculate rougher 3 grades at: % Cu Pb Zn Ni S Fe Au Ag Bi Mo PGMs As SiO2 MgO Al2O3 CaO Fe2O3 Li2O K2O F U C IS NSG recovery.
Calculate rougher 3 flotation kinetics: R = R_max[1-exp^(-kt)] (these regressions may take time)


*Before re-calculating, delete the previously calculated roughers 1 & 2 tailing names, weights and assays.
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