balance antamina m1-2

7/29/2019 Balance Antamina M1-2

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About the BallBal_ReverseSpreadsheet ...

Scope :

The Ballbal_Reverse spreadsheet was designed to compute the Size-by-Size Mass Balance around the HydrocyclonClassifiers of any given Conventional Ball Mill circuit, operating under the Reverse configuration (see Flowsheet), onthe basis of actual plant measurements.

Theoretical Framework :

Whenever actual grinding data are collected in a plant environment, they will invariably be affected by naturalexperimental and measurement errors, in such a way that the basic mass balance equation around the circuit, for particleof size di :

fiF F + fi

MD MD = fiU U + fi

O O ??? , for i = 1,n

will never be satisfied. In the above expression F, MD, U and O represent the mass flowrate of solids in the circuit freshfeed, mill discharge, underflow and overflow streams, respectively. Similarly, fi

F, fiMD, fi

U and fiO represent the fraction of

those total respective streams corresponding to particles of size di.

The Ballbal_Reverse routine allows for the calculation of a whole new set of corresponding adjusted or fitted values fiF

,fi

MD, fiUand fi

O, such that the objective functions :

fi = [ wF (fiF - fiF)2 + wMD (fiMD - fiMD)2 + wU (fiU - fiU)2 + wO(fiO - fiO)2 ] ,for every particle size diare minimized and the adjusted values so generated strictly satisfy the mass balance restrictions :

fiFF+fi

MDMD = fiUU+fi

OO , for i = 1,n

where wF, wMD, wU and wO are user defined weighting factors included to represent the relative quality and reliability of thsamples from each of the 4 streams and the mass flowrates F, MD, Uand Oare calculated as :

F = F

MD= F (CL)U = F (CL)O = F

and the Circulating Load (CL) is estimated from :

CL = { usdS [(fiO - fiF) / (fiMD - fiU)] + ufs (1/fSO - 1/fSF) / (1/fSMD -1/fSU) } / (usd + ufs)all i

where fsF, fs

MD, fsU and fs

O are the weight fractions of total solids in the fresh feed, mill discharge, underflow and overflowstreams, respectively, and also usd and ufs are user defined weighting factors included to represent the relative quality anreliability of the size distribution measurements vs. the percent solids measurements in all 4 streams. In general, a highrelative value of a weighting factor is indicative of a more reliable measurement with respect to the other measurementsparticipating in the same equations.

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A statistically sound weighting factor may be calculated as 100/(% error)2; where (% error) corresponds to the combinedsampling and measuring error percentage.

The least-square minimization problem stated above may be linearized and solved through the Lagrange MultipliersMethod (see About ... in Cyclobal_Single).

Further refinement of the adjusted values so computed is achieved by imposing the condition that these values must

conform to the Plitt's Classification Efficiency curve : (see About ... in Cyclosim_Single)

Ei = Bpf + (1 - Bpf ) (1 - exp [ - 0.693 (di/d50c)m ])

with the aid of the Excel Subroutine Solver to minimize a least-square objective function with respect to parameters Bpd50

c and m.

Finally, the size distribution of the cyclone feed stream may be calculated on the basis of the adjusted values so obtainedfor the fresh feed and mill discharge streams.

Data Input and Program Execution :

Most of the data required by the model must be defined in each corresponding unprotected white background cell -

inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the resuof the corresponding formulas there defined and are protected to avoid any accidental editing.

The remaining information required to run the program is entered in the Control_Panel worksheet, where the user isrequested to provide initial guesses of the Bpf, d50

c and m parameters (see About ... in Cyclosim_Single). The Bpcparameter is rarely used and was incorporated to take into account the possible short-circuit of coarse particles to theoverflow (as could be the case in highly pressurised cyclones). Finally, the user must specify the relative weighting factofor the various feed, underflow and overflow streams plus the relative weighting factors for the size distribution andpercent solids measurements.

To run the program, select the objective function Cell E22 in Control_Panel and then, from the Tools Menu, selectSolver ..., then Min and then By Changing any combination ofCells C20:F20. Clicking on the Solve button will executethe desired calculations.

Important Notice : Solver ... must be run every time any element of input data gets to be modified. Otherwise, thecurrent outputs are not valid.

Calculation results are summarized in the Reports worksheet.

An interesting feature of this routine is that the user has the option to save for later reference every analyzed data set bycopying the Data_File worksheet into as many as required Sample 1, Sample 2, etc. worksheets. For reprocessing thesdata, simply copy the information back to the Data_File and re-run the Solver routine.

New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the wholeutilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments byselecting Tools / Options / View / Comments / None.



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Moly-Cop Tools TM

Sample N 3

Weighting Factors

Streams :

Fresh Feed 0Mill Discharge 1

Cyclone Feed 1

Cyclone U'flow 1

Cyclone O'flow 1

Size Distr. 1

% Solids 1

Initial Guesses :

Bpf Bpc d50c m

0.480 0.001 108.8 1.391 4

Obj. Function : 0.010

Classifier Constants :a1 2.31

a2 0.921

a3 38.46

a4 0.667

l 0.881

Ballbal_Reverse : MASS BALANCE CLOSURE AROUND A BALL MILL GRINDING CIRCUIT

Note : Current calculations are not valid, if SOLVER has not been run after the last data modifica

1

10

100

10 100 1000 100

%P

assing

Particle Size, microns

Mill Discharge

Cyclone U'flow

Cyclone O'flow

Fresh Feed

Moly-Cop Tools / 131104195.xls.ms_office 2/25/


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Moly-Cop Tools TM

Circuit Type REVERSE

Remarks

Mill Dimensions and Operating Conditions 7891 Balls

Diameter Length Speed Charge Balls Lift 0 Overfilling

ft ft % Critical Filling,% Filling,% Angle, () 1471 Slurry

24.0 36.0 70.0 36.00 36.00 26.9 9362 Net Power

rpm 10.95 10.0 % Losses

10402 Gross kW

Cyclone Dimensions (inches) and Operating Pressure (psi)

Number Diameter Height Inlet Vortex Apex psi

13 26.0 75.0 10.00 8.00 5.00 4.50

i Mesh Opening Mid-Size ton/hr % Retained % Passing ton/hr % Retained % Passing ton/hr %

1 1.05 25400 100.00 100.00

2 3/4" 19050 21997 0.00 0.00 100.00 0.00 0.00 100.00 0.00

3 1/2" 12700 15554 10.65 0.90 99.10 0.00 0.00 100.00 10.65

4 3/8" 9500 10984 31.95 2.70 96.40 37.63 0.59 99.41 69.58

5 1/4" 6700 7978 40.23 3.40 93.00 13.39 0.21 99.20 53.62

6 4 4750 5641 37.87 3.20 89.80 38.27 0.60 98.60 76.13

7 6 3350 3989 53.25 4.50 85.30 57.40 0.90 97.70 110.65

8 10 1700 2386 121.88 10.30 75.00 159.44 2.50 95.20 281.32

9 14 1180 1416 84.72 7.16 67.84 190.69 2.99 92.21 275.41

10 20 850 1001 69.10 5.84 62.00 166.45 2.61 89.60 235.56

11 28 600 714 81.65 6.90 55.10 350.76 5.50 84.10 432.41

12 35 425 505 84.37 7.13 47.97 776.78 12.18 71.92 861.15

13 48 300 357 74.19 6.27 41.70 670.91 10.52 61.40 745.11

14 65 212 252 67.45 5.70 36.00 1039.53 16.30 45.10 1106.9815 100 150 178 66.26 5.60 30.40 860.96 13.50 31.60 927.23

16 150 106 126 56.80 4.80 25.60 586.73 9.20 22.40 643.53

17 200 75 89 61.53 5.20 20.40 344.39 5.40 17.00 405.92

18 270 53 63 60.35 5.10 15.30 286.99 4.50 12.50 347.34

19 325 45 49 16.57 1.40 13.90 114.80 1.80 10.70 131.36

20 400 38 41 15.38 1.30 12.60 38.27 0.60 10.10 53.65

21 -400 0 19 149.10 12.60 0.00 644.13 10.10 0.00 793.22

Totals 1183.30 100.00 6377.51 100.00 7560.81

% Solids 73.82 76.31

Slurry Density, ton/m3 2.088 2.168

Weighting Factor 0.000 1.000

EXPERIMENTAL

BALLBAL : Mass Balance Closure around a Ball Mill

Antamina

Muestreo Molino 1 - Menor Tonelaje

100.00

Interstitial

Slurry Filling,%

Fresh Feed Mill Discharge Cyc

Moly-Cop Tools / 131104195.xls.ms_office


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Moly-Cop Tools TM Sample N 3

Remarks

38.33 % Solids44.61 % - Size 18

145.4 P80 4.50 psi

Bpf 0.480

Bpw 0.545 13 # of Cyclones

8.00 Vortex

5.00 Apex

ton/hr 1183.3

F80 2389 75.43 % Solids

Water, -107.3 Water, m3/hr

m3/hr 1591.6

Gross kW 10402.0

% Balls 36.00 Circ. Load 590.88

% Critical 70.00 m3/hr 6586

% Solids 76.31 % Solids 66.16

kWh/ton 8.79

Wio 14.07

Antamina


Moly-Cop Tools / 131104195.xls.ms_office / Flowsheet 2/25/2013 / 1


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Remarks : Antamina


Fresh Mill Mill Sump Cyclone Cyclone Cyclone

Feed Feed Discharge Water Feed U'flow O'flow

Ore, ton/hr 1183.3 6991.9 6991.9 0.0 8175.2 6991.9 1183.3

Water, m3/hr 419.7 2277.9 2170.6 1591.6 4181.9 2277.9 1904.0

Slurry, ton/hr 1603.0 9269.7 9162.4 1591.6 12357.0 9269.7 3087.3

Slurry, m3/hr 767.7 4334.3 4227.0 1591.6 6586.3 4334.3 2252.0

Slurry Dens., ton/m3 2.088 2.139 2.168 1.000 1.876 2.139 1.371

% Solids (by volume) 45.3 47.4 48.6 0.0 36.5 47.4 15.5

% Solids (by weight) 73.8 75.4 76.3 0.0 66.2 75.4 38.3

i Mesh Opening

1 1.05 25400 100.00 100.00 100.00 0.00 100.00 100.00 100.00

2 3/4" 19050 100.00 100.00 100.00 0.00 100.00 100.00 100.00

3 1/2" 12700 99.10 99.93 100.08 0.00 99.94 99.93 100.00

4 3/8" 9500 96.40 99.24 99.84 0.00 99.35 99.24 100.00

5 1/4" 6700 93.00 98.21 99.40 0.00 98.47 98.21 99.99

6 4 4750 89.80 97.09 98.82 0.00 97.51 97.09 99.99

7 6 3350 85.30 95.46 97.94 0.00 96.11 95.46 99.98

8 10 1700 75.00 90.95 95.17 0.00 92.25 90.95 99.95

9 14 1180 67.84 86.76 92.19 0.00 88.67 86.76 99.93

10 20 850 62.00 83.17 89.59 0.00 85.60 83.17 99.92

11 28 600 55.10 76.65 84.23 0.00 80.01 76.65 99.88

12 35 425 47.97 63.96 72.71 0.00 69.13 63.96 99.71

13 48 300 41.70 53.24 62.90 0.00 59.83 53.24 98.76

14 65 212 36.00 37.01 46.65 0.00 45.11 37.01 93.00

15 100 150 30.40 24.01 32.64 0.00 32.31 24.01 81.36

16 150 106 25.60 15.81 22.90 0.00 23.30 15.81 67.49

17 200 75 20.40 11.59 17.69 0.00 18.08 11.59 56.41

18 270 53 15.30 8.28 13.24 0.00 13.54 8.28 44.61

19 325 45 13.90 7.05 11.38 0.00 11.74 7.05 39.4620 400 38 12.60 6.66 10.91 0.00 11.15 6.66 37.69

D80, microns 2389 720 532 0 600 720 145.4

Specific Energy Consumption : 8.79 KWH/ton (Gross)

Operational Work Index : 14.07 KWH/ton

Particle Size Distributions (Cummulative % Passing)

BALLBALGrinding Circuit Mass Balance Estimator

CIRCUIT MASS BALANCEConfiguration : REVERSE



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Remarks : Antamina


Number of Cyclones : 13 Operating Conditions :

Cyclone Dimensions, in : Feed Flowrate, m3/hr 6586.3

Diameter 26.00 Pressure, psi 4.5

Height 75.00 D50 (corr.), microns 108.8

Inlet 10.00 Water By-Pass, % 54.5

Vortex 8.00 Solids By-Pass, % 48.0

Apex 5.00 Plitt's Parameter 1.39

Ore Density, ton/m3 3.40 Circulating Load, % 591

i Mesh Opening Mid-Size Feed U'flow O'flow Actual Corrected

1 1.05 25400 21997 100.00 100.00 100.00 0.999 1.000

2 3/4" 19050 15554 100.00 100.00 100.00 0.999 1.000

3 1/2" 12700 10984 99.94 99.93 100.00 0.999 1.000

4 3/8" 9500 7978 99.35 99.24 100.00 0.999 1.000

5 1/4" 6700 5641 98.47 98.21 99.99 0.999 1.000

6 4 4750 3989 97.51 97.09 99.99 0.999 1.000

7 6 3350 2386 96.11 95.46 99.98 0.999 1.000

8 10 1700 1416 92.25 90.95 99.95 0.999 1.0009 14 1180 1001 88.67 86.76 99.93 0.999 1.000

10 20 850 714 85.60 83.17 99.92 0.999 1.000

11 28 600 505 80.01 76.65 99.88 0.998 0.997

12 35 425 357 69.13 63.96 99.71 0.985 0.973

13 48 300 252 59.83 53.24 98.76 0.943 0.893

14 65 212 178 45.11 37.01 93.00 0.868 0.748

15 100 150 126 32.31 24.01 81.36 0.777 0.573

16 150 106 89 23.30 15.81 67.49 0.692 0.409

17 200 75 63 18.08 11.59 56.41 0.624 0.277

18 270 53 49 13.54 8.28 44.61 0.586 0.204

19 325 45 41 11.74 7.05 39.46 0.566 0.165

20 400 38 19 11.15 6.66 37.69 0.511 0.059

Ore, ton/hr 8175.2 6991.9 1183.3

Water, m3/hr 4181.9 2277.9 1904.0

Slurry, ton/hr 12357.0 9269.7 3087.3 a1 2.313

Slurry, m3/hr 6586.3 4334.3 2252.0 a2 0.921

Slurry Dens., ton/m3 1.876 2.139 1.371 a3 38.460

% Solids (by volume) 36.5 47.4 15.5 a4 0.667

% Solids (by weight) 66.2 75.4 38.3 l 0.881

Size Distributions, % Passing

BALLBALGrinding Circuit Mass Balance Estimator

CLASSIFIERS PERFORMANCE

Classifier Efficiency

Mass Balance around the Classifiers

Classifier Constants



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Remarks : Antamina


Diameter, ft 24.0 Mill Power, KW (Gross) 10402

Length, ft 36.0 Mill Power, KW (Net) 9362

Speed, % Critical 70.0 Throughput, ton/hr 6991.9

App. Density, ton/m3 5.52 % Solids (by weight) 75.4

Charge Level, % 36.0 Sp. Energy, KWH/ton 1.49

Balls Filling, % 36.0 Reduction Ratio 1.35Lift Angle, () 26.9

Mill Mill

i Mesh Opening Mid-Size Feed Discharge

1 1.05 25400 21997 100.00 100.00

2 3/4" 19050 15554 100.00 100.00

3 1/2" 12700 10984 99.93 100.08

4 3/8" 9500 7978 99.24 99.84

5 1/4" 6700 5641 98.21 99.40

6 4 4750 3989 97.09 98.827 6 3350 2386 95.46 97.94

8 10 1700 1416 90.95 95.17

9 14 1180 1001 86.76 92.19

10 20 850 714 83.17 89.59

11 28 600 505 76.65 84.23

12 35 425 357 63.96 72.71

13 48 300 252 53.24 62.90

14 65 212 178 37.01 46.65

15 100 150 126 24.01 32.64

16 150 106 89 15.81 22.90

17 200 75 63 11.59 17.69

18 270 53 49 8.28 13.24

19 325 45 41 7.05 11.38

20 400 38 19 6.66 10.91

D80, microns 720 532

Size Distributions

BALL MILL PERFORMANCE

BALLBAL

Grinding Circuit Mass Balance Estimator



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C

umber of Cyclones 13

lassifier Dimensions, inches.

C h DI DO DU

26 75 10 8 5

lassifier Constants

1 a2 a3 a4 l Cyclone Cyclone Cyclone

2.3126884 0.920778 38.46016 0.666879 0.881127 Feed U'flow O'flow

irculating Load, CL 5.908775 Solids, tons 581.60 497.42 84.18288

lurry Split, S 1.924616 Water, m3/hr 297.51 162.05 135.46

yclone Pressure, ft 5.539287 Slurry, tons 879.1088 659.4707 219.6381

yclone Pressure, lb/in2 4.50 Slurry, m3/hr 468.5672 308.3523 160.2149

orrected Cut Size, d50c, microns 108.7665 Solids Density, ton/m3 3.4 3.4 3.4

Water By-Pass 0.544701 Slurry Density, ton/m3 1.876164 2.138692 1.370897

ines By-Pass 0.479951 % Solids (by volume) 36.50683 47.44552 15.45404

oarse By-Pass 0.000849 % Solids (by weight) 66.16 75.43 38.33

litt's Parameter 1.39058

Opening Mid-Size Classifier Cyclone Cyclone Cyclone Cyclone Cyclone

Efficiency Feed U'flow O'flow Feed U'flow

1 25400

2 19050 21997.05 0.999151 0.00 0 0.00 0.00 0

3 12700 15554.26 0.999151 4.52 4.511169 0.00 0.06 0

4 9500 10984.08 0.999151 44.93 44.88881 0.04 0.59 0

5 6700 7978.095 0.999151 66.08 66.02845 0.06 0.87 16 4750 5641.365 0.999151 72.69 72.62528 0.06 0.96 1

7 3350 3989.048 0.999151 105.69 105.5989 0.09 1.40 1

8 1700 2386.42 0.999151 291.93 291.6834 0.25 3.86 4

9 1180 1416.333 0.999151 271.06 270.8287 0.23 3.59 4

10 850 1001.499 0.99915 232.12 231.923 0.20 3.07 3

11 600 714.1428 0.999111 422.12 421.7401 0.38 5.58 6

12 425 504.9752 0.997671 822.84 820.9194 1.92 10.88 12

13 300 357.0714 0.985236 703.10 692.7227 10.38 9.30 10

14 212 252.1904 0.943412 1112.89 1049.91 62.98 14.72 16

15 150 178.3255 0.868297 967.83 840.3601 127.47 12.80 13

16 106 126.0952 0.777495 681.74 530.0463 151.69 9.02 8

17 75 89.16277 0.69222 394.29 272.9319 121.35 5.21 4

ton/hr (model) % Retained

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C

18 53 63.0476 0.623881 343.35 214.2112 129.14 4.54 3

19 45 48.83646 0.585634 135.90 79.58928 56.31 1.80 1

20 38 41.35215 0.565734 44.67 25.27229 19.40 0.59 0

21 0 19 0.510792 843.08 430.6393 412.44 11.15 6

Total 7560.81 6466.43 1094.38 100.00 100

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C

yclone Cyclone Cyclone Cyclone Cyclone Cyclone Cyclone Cyclone Cyclone Cyclone C

O'flow Feed U'flow O'flow Feed U'flow O'flow Feed U'flow O'flow

1 1 1

100.00 100.00 100.00 100.00 100.00 100.00

0.00 100.00 100.00 100.00 100.00 100.00 100.00 0.000 0.000 0.000

0.00 99.94 99.93 100.00 99.94 100.00 100.00 0.000 0.000 0.000

0.00 99.35 99.24 100.00 99.35 99.58 100.00 0.000 0.000 0.000

0.01 98.47 98.21 99.99 98.47 98.40 100.00 0.000 0.000 0.0000.01 97.51 97.09 99.99 97.51 97.30 100.00 0.000 0.000 0.000

0.01 96.11 95.46 99.98 96.11 95.70 100.00 0.000 0.000 0.000

0.02 92.25 90.95 99.95 92.25 91.00 100.00 0.000 0.000 0.000

0.02 88.67 86.76 99.93 88.67 86.80 100.00 0.000 0.000 0.000

0.02 85.60 83.17 99.92 85.60 83.20 100.00 0.000 0.000 0.000

0.03 80.01 76.65 99.88 80.01 76.70 100.00 0.000 0.000 0.000

0.18 69.13 63.96 99.71 69.13 64.24 100.00 0.000 0.000 0.000

0.95 59.83 53.24 98.76 59.83 53.70 100.00 0.000 0.000 0.000

5.75 45.11 37.01 93.00 45.11 38.00 90.20 0.000 0.001 0.001

11.65 32.31 24.01 81.36 32.31 24.10 80.80 0.000 0.000 0.000

13.86 23.30 15.81 67.49 23.30 15.40 67.70 0.000 0.001 0.000

11.09 18.08 11.59 56.41 18.08 11.30 57.20 0.000 0.001 0.000

% Passing (exp) (Weighted Error)^2l) % Passing (model)

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C

11.80 13.54 8.28 44.61 13.54 8.30 44.60 0.000 0.000 0.000

5.15 11.74 7.05 39.46 11.74 7.10 39.30 0.000 0.000 0.000

1.77 11.15 6.66 37.69 11.15 6.80 37.70 0.000 0.000 0.000

37.69

Overall

100.00 0.000 0.000 0.000

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C

yclone Cyclone Cyclone Cyclone Cyclone

'flow O'flow Feed U'flow O'flow

% PassingRetained

Page 15


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Sample 1

Moly-Cop Tools TM

Circuit Type REVERSE

Remarks

Mill Dimensions and Operating Conditions

Diameter Length Speed Charge Balls

ft ft % Critical Filling,% Filling,%

18.5 22.0 72.0 38.00 38.00

rpm 12.82

Cyclone Dimensions (inches) and Operating Pressure (psi)

Number Diameter Height Inlet Vortex Apex psi

10 20.0 75.0 3.50 7.50 4.05 9.41

i Mesh Opening Mid-Size ton/hr % Retained % Passing ton/hr

1 1.05 25400 100.00

2 0.742 19050 21997 0.00 0.00 100.00 0.00

3 0.525 12700 15554 20.00 5.00 95.00 17.19

4 0.371 9500 10984 66.40 16.60 78.40 39.23

5 3 6700 7978 56.28 14.07 64.33 38.54

6 4 4750 5641 41.32 10.33 54.00 35.00

7 6 3350 3989 33.36 8.34 45.66 36.46

8 8 2360 2812 27.36 6.84 38.82 41.78

9 10 1700 2003 21.64 5.41 33.41 48.49

10 14 1180 1416 20.40 5.10 28.31 63.45

11 20 850 1001 15.60 3.90 24.41 74.69

12 28 600 714 14.16 3.54 20.87 95.00

13 35 425 505 12.04 3.01 17.86 114.06

14 48 300 357 10.36 2.59 15.27 128.50

15 65 212 252 8.84 2.21 13.06 128.56

16 100 150 178 7.52 1.88 11.18 114.27

17 150 106 126 6.48 1.62 9.56 92.85

18 200 75 89 5.52 1.38 8.18 70.83

19 270 53 63 4.72 1.18 7.00 53.26

20 400 38 45 3.40 0.85 6.15 39.0321 -400 0 19 24.60 6.15 0.00 308.62

Totals 400.00 100.00 1539.79

% Solids 95.00

Slurry Density, ton/m3 2.569

Weighting Factor 0.000

Fresh Feed

BALLBAL : Mass

Base Case Example

Interstitial

Slurry Filling,%

100.00

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Sample 1

Sample N

3348 Balls Charge

Lift 0 Overfilling Volume, Ball

Angle, () 536 Slurry m3 Charge Interstitial Excess

35.0 3885 Net Power 63.76 296.48 47.48 0.00

10.0 % Losses

4316 Gross kW Feedrate, ton/hr (dry) 400.0

Ore Density, ton/m3 2.80

Balls Density, ton/m3 7.75

% Retained % Passing ton/hr % Retained % Passing ton/hr % Retained % Passing

100.00 100.00 100.00

0.00 100.00 0.00 0.00 100.00 0.00 0.00 100.00

1.12 98.88 37.19 1.92 98.08 37.19 2.42 97.58

2.55 96.34 105.63 5.45 92.64 105.63 6.86 90.72

2.50 93.83 94.82 4.89 87.75 94.82 6.16 84.57

2.27 91.56 76.32 3.93 83.81 76.32 4.96 79.61

2.37 89.19 69.82 3.60 80.22 69.82 4.53 75.08

2.71 86.48 69.14 3.56 76.65 69.14 4.49 70.59

3.15 83.33 70.13 3.62 73.04 70.13 4.55 66.03

4.12 79.21 83.85 4.32 68.71 83.85 5.45 60.59

4.85 74.36 90.29 4.65 64.06 90.26 5.86 54.72

6.17 68.19 109.16 5.63 58.43 108.52 7.05 47.68

7.41 60.78 126.10 6.50 51.93 121.55 7.89 39.78

8.35 52.44 138.86 7.16 44.77 123.90 8.05 31.74

8.35 44.09 137.40 7.08 37.69 108.66 7.06 24.68

7.42 36.67 121.79 6.28 31.41 83.81 5.44 19.24

6.03 30.64 99.33 5.12 26.29 59.89 3.89 15.35

4.60 26.04 76.35 3.94 22.35 41.27 2.68 12.67

3.46 22.58 57.98 2.99 19.37 28.87 1.88 10.79

2.53 20.04 42.43 2.19 17.18 19.98 1.30 9.4920.04 0.00 333.22 17.18 0.00 146.20 9.49 0.00

100.00 1939.79 100.00 1539.79 100.00

72.00 64.10 76.00

1.862 1.701 1.955

1.000 1.000 1.000

EXPERIMENTAL SIZE DISTRIBUTIONS

ill Discharge Cyclone Feed Cyclone U'flow

alance Closure around a Ball Mill Grinding Circuit

Mill Charge Weight, tons

Slurry

Page 17


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Sample 1

1

Apparent

Density

ton/m3

5.395

Circ. Lambda

ton/hr % Retained % Passing Load ton/hr

100.00

0.00 0.00 100.00 0.00000 0.00

0.00 0.00 100.00 (0.00000) 37.19

0.00 0.00 100.00 3.849 (0.00000) 105.63

0.00 0.00 100.00 3.849 (0.00000) 94.82

0.00 0.00 100.00 3.849 (0.00000) 76.32

0.00 0.00 100.00 3.849 (0.00000) 69.82

0.00 0.00 100.00 3.849 (0.00000) 69.14

0.00 0.00 100.00 3.849 (0.00000) 70.13

0.00 0.00 100.00 3.849 0.00000 83.85

0.03 0.01 99.99 3.849 0.00000 90.29

0.65 0.16 99.83 3.849 0.00000 109.16

4.55 1.14 98.69 3.849 0.00000 126.10

14.96 3.74 94.95 3.849 0.00000 138.86

28.74 7.18 87.77 3.849 0.00000 137.40

37.98 9.49 78.27 3.849 0.00000 121.79

39.44 9.86 68.41 3.849 0.00000 99.33

35.09 8.77 59.64 3.849 0.00000 76.35

29.10 7.28 52.37 3.849 0.00000 57.98

22.45 5.61 46.75 Circ. Load 3.849 0.00000 42.43187.02 46.75 0.00 W. Factors 0.00000 333.22

400.00 100.00 1 3.849 1939.79

40.00 1 3.849 (0.00000)

1.346

1.000 CL (ave) 3.849

CyclonCyclone O'flow

Page 18


19/20

Sample 1

% Retained % Passing adj. ton/hr % Retained % Passing adj. ton/hr

100.00 0.00 100.00 0.00

0.00 100.00 0.00 0.00 0.00 100.00 0.00 0.00

1.92 98.08 (0.00) 0.00 0.00 100.00 0.00 37.19

5.45 92.64 (0.00) 0.00 0.00 100.00 0.00 105.63

4.89 87.75 (0.00) 0.00 0.00 100.00 0.00 94.82

3.93 83.81 (0.00) 0.00 0.00 100.00 0.00 76.32

3.60 80.22 (0.00) 0.00 0.00 100.00 0.00 69.82

3.56 76.65 (0.00) 0.00 0.00 100.00 0.00 69.14

3.62 73.04 (0.00) 0.00 0.00 100.00 0.00 70.13

4.32 68.71 (0.00) 0.00 0.00 100.00 0.00 83.85

4.65 64.06 (0.00) 0.03 0.01 99.99 0.00 90.26

5.63 58.43 (0.00) 0.65 0.16 99.83 0.00 108.52

6.50 51.93 (0.00) 4.55 1.14 98.69 0.00 121.55

7.16 44.77 (0.00) 14.96 3.74 94.95 0.00 123.90

7.08 37.69 (0.00) 28.74 7.18 87.77 0.00 108.66

6.28 31.41 (0.00) 37.98 9.49 78.27 0.00 83.81

5.12 26.29 (0.00) 39.44 9.86 68.41 0.00 59.89

3.94 22.35 (0.00) 35.09 8.77 59.64 0.00 41.27

2.99 19.37 (0.00) 29.10 7.28 52.37 0.00 28.87

2.19 17.18 (0.00) 22.45 5.61 46.75 0.00 19.9817.18 187.02 46.75 146.20

100.00 400.00 100.00 1539.79

64.10 (0.00) 40.00 0.00

Feed (pre-adjusted) Cyclone O'flow (pre-adjusted) Cyclone

NO DATA INPUT REQUIRED IN THIS SECTOR

Page 19


20/20

Sample 1

% Retained % Passing adj.

100.00 0.00

0.00 100.00 0.00

2.42 97.58 0.00

6.86 90.72 0.00

6.16 84.57 0.00

4.96 79.61 0.00

4.53 75.08 0.00

4.49 70.59 0.00

4.55 66.03 0.00

5.45 60.59 0.00

5.86 54.72 0.00

7.05 47.68 0.00

7.89 39.78 0.00

8.05 31.74 0.00

7.06 24.68 0.00

5.44 19.24 0.00

3.89 15.35 0.00

2.68 12.67 0.00

1.88 10.79 0.00

1.30 9.49 0.009.49

100.00

76.00 0.00

U'flow (pre-adjusted)

P 20

balance antamina m1-2

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