Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:55

About the Bond_Mill Sizing Spreadsheet ...

Scope :

The Bond_Mill Sizing spreadsheet was designed to determine the most appropriate mill dimensions and operating conditions for a given grinding task (known ore properties plus desired mill throughput and feed and product sizes), based on the traditional Bond's Law and the Hogg & Fuersteneau Power Model (see Mill Power_Ball Mills spreadsheet for further details on such model).

Theoretical Framework :

Undoubtedly, the extensive work of Fred C. Bond ("The Third Theory of Comminution", AIME Trans.,Vol. 193, p. 484, 1952. Also in Mining Engineering, May 1952) has been widely recognized as a very significant contribution to a first understanding of the operational response of conventional ball mills in various grinding circuits. His Third Theory or "Law" of Comminution has become the most traditionally accepted framework for the evaluation of existing grinding operations as well as the design of new installations :

E = 10 Wi (1/P801/2 1/F801/2)where :

E = Specific Energy Consumption, kWh/ton ground. F80 = 80% passing size in the Fresh Ore Feed Stream, microns. P80 = 80% passing size in the Final Ground Product, microns. Wi = Bond's Work Index, indicative of the hardness of the ore, kWh/ton.

The Bond's Law so allows, as a first approach, to estimate the energy demand (kWh) required to grind each ton of ore. Such Specific Energy Consumption determines in turns the Capacity of the grinding section, by the expression :

M = P/Ewhere :

M = Fresh Ore Throughput (not including Circulating Load), ton/hr. P = Net Mill Power Demand, kW.

Bond's Work Index may be estimated directly from operational data (whenever available) from back-calculation of the first equation above. In such case is denoted as the Operational Work Index :

Wio = E / 10 (1/P801/2 1/F801/2)

Data Input :

All data required by the calculation routine must be defined in each corresponding unprotected white background cell of the here attached Data File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

In order to match the Power Demand (from Bond's Law) with the Power Availability (from Hogg & Fuersteneau's Model) a Goal Seek algorithm must be implemented, as indicated at the bottom of the Data File worksheet.

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:55

Scope :

The Bond_Mill Sizing spreadsheet was designed to determine the most appropriate mill dimensions and operating conditions for a given grinding task (known ore properties plus desired mill throughput and feed and product sizes), based on the traditional Bond's Law and the Hogg & Fuersteneau Power Model (see Mill Power_Ball Mills spreadsheet for further details on such model).

Theoretical Framework :

Undoubtedly, the extensive work of Fred C. Bond ("The Third Theory of Comminution", AIME Trans.,Vol. 193, p. 484, 1952. Also in Mining Engineering, May 1952) has been widely recognized as a very significant contribution to a first understanding of the operational response of conventional ball mills in various grinding circuits. His Third Theory or "Law" of Comminution has become the most traditionally accepted framework for the evaluation of existing grinding operations as well as the design of new installations :

E = 10 Wi (1/P801/2 1/F801/2)where :

E = Specific Energy Consumption, kWh/ton ground. F80 = 80% passing size in the Fresh Ore Feed Stream, microns. P80 = 80% passing size in the Final Ground Product, microns. Wi = Bond's Work Index, indicative of the hardness of the ore, kWh/ton.

The Bond's Law so allows, as a first approach, to estimate the energy demand (kWh) required to grind each ton of ore. Such Specific Energy Consumption determines in turns the Capacity of the grinding section, by the expression :

M = P/Ewhere :

M = Fresh Ore Throughput (not including Circulating Load), ton/hr. P = Net Mill Power Demand, kW.

Bond's Work Index may be estimated directly from operational data (whenever available) from back-calculation of the first equation above. In such case is denoted as the Operational Work Index :

Wio = E / 10 (1/P801/2 1/F801/2)

Data Input :

All data required by the calculation routine must be defined in each corresponding unprotected white background cell of the here attached Data File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

In order to match the Power Demand (from Bond's Law) with the Power Availability (from Hogg & Fuersteneau's Model) a Goal Seek algorithm must be implemented, as indicated at the bottom of the Data File worksheet.

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:55

Scope :

The Bond_Mill Sizing spreadsheet was designed to determine the most appropriate mill dimensions and operating conditions for a given grinding task (known ore properties plus desired mill throughput and feed and product sizes), based on the traditional Bond's Law and the Hogg & Fuersteneau Power Model (see Mill Power_Ball Mills spreadsheet for further details on such model).

Theoretical Framework :

Undoubtedly, the extensive work of Fred C. Bond ("The Third Theory of Comminution", AIME Trans.,Vol. 193, p. 484, 1952. Also in Mining Engineering, May 1952) has been widely recognized as a very significant contribution to a first understanding of the operational response of conventional ball mills in various grinding circuits. His Third Theory or "Law" of Comminution has become the most traditionally accepted framework for the evaluation of existing grinding operations as well as the design of new installations :

E = 10 Wi (1/P801/2 1/F801/2)where :

E = Specific Energy Consumption, kWh/ton ground. F80 = 80% passing size in the Fresh Ore Feed Stream, microns. P80 = 80% passing size in the Final Ground Product, microns. Wi = Bond's Work Index, indicative of the hardness of the ore, kWh/ton.

The Bond's Law so allows, as a first approach, to estimate the energy demand (kWh) required to grind each ton of ore. Such Specific Energy Consumption determines in turns the Capacity of the grinding section, by the expression :

M = P/Ewhere :

M = Fresh Ore Throughput (not including Circulating Load), ton/hr. P = Net Mill Power Demand, kW.

Bond's Work Index may be estimated directly from operational data (whenever available) from back-calculation of the first equation above. In such case is denoted as the Operational Work Index :

Wio = E / 10 (1/P801/2 1/F801/2)

Data Input :

All data required by the calculation routine must be defined in each corresponding unprotected white background cell of the here attached Data File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

In order to match the Power Demand (from Bond's Law) with the Power Availability (from Hogg & Fuersteneau's Model) a Goal Seek algorithm must be implemented, as indicated at the bottom of the Data File worksheet.

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:55

Scope :

The Bond_Mill Sizing spreadsheet was designed to determine the most appropriate mill dimensions and operating conditions for a given grinding task (known ore properties plus desired mill throughput and feed and product sizes), based on the traditional Bond's Law and the Hogg & Fuersteneau Power Model (see Mill Power_Ball Mills spreadsheet for further details on such model).

Theoretical Framework :

Undoubtedly, the extensive work of Fred C. Bond ("The Third Theory of Comminution", AIME Trans.,Vol. 193, p. 484, 1952. Also in Mining Engineering, May 1952) has been widely recognized as a very significant contribution to a first understanding of the operational response of conventional ball mills in various grinding circuits. His Third Theory or "Law" of Comminution has become the most traditionally accepted framework for the evaluation of existing grinding operations as well as the design of new installations :

E = 10 Wi (1/P801/2 1/F801/2)where :

E = Specific Energy Consumption, kWh/ton ground. F80 = 80% passing size in the Fresh Ore Feed Stream, microns. P80 = 80% passing size in the Final Ground Product, microns. Wi = Bond's Work Index, indicative of the hardness of the ore, kWh/ton.

The Bond's Law so allows, as a first approach, to estimate the energy demand (kWh) required to grind each ton of ore. Such Specific Energy Consumption determines in turns the Capacity of the grinding section, by the expression :

M = P/Ewhere :

M = Fresh Ore Throughput (not including Circulating Load), ton/hr. P = Net Mill Power Demand, kW.

Bond's Work Index may be estimated directly from operational data (whenever available) from back-calculation of the first equation above. In such case is denoted as the Operational Work Index :

Wio = E / 10 (1/P801/2 1/F801/2)

Data Input :

All data required by the calculation routine must be defined in each corresponding unprotected white background cell of the here attached Data File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

In order to match the Power Demand (from Bond's Law) with the Power Availability (from Hogg & Fuersteneau's Model) a Goal Seek algorithm must be implemented, as indicated at the bottom of the Data File worksheet.

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:55

BOND'S LAW APPLICATIONConventional Ball Mill Sizing

Remarks Molino Bolas secundario Ox-Alpamarca - 4000 t/d Opcin - 1

GRINDING TASK : Ore Work Index, kWh/ton (metric) 14.08 Specific Energy, kWh/ton 6.44 Feed Size, F80, microns 1280 Net Power Requirement, kW 1312 Product Size, P80, microns 184.0 Number of Mills for the Task 2 Design Throughput, ton/hr 203.51 Net kW / Mill 656

MILL DESIGN PARAMETERS AND OPERATING CONDITIONS : Power, kWJ Jb Jp 565 Balls

Diameter Length Mill Speed Charge Balls Interstitial Lift 0 Overfillingft ft % Critical Filling,% Filling,% Slurry Filling,% Angle, () 91 Slurry11.35 11.50 77.70 40.00 40.00 100.00 35.00 656 Net Total

L/D rpm 14.00 % Losses1.01 17.67 763 Gross Total

% Solids in the Mill 70.00 Charge Mill Charge Weight, tons ApparentOre Density, ton/m3 3.00 Volume, Ball Slurry DensitySlurry Density, ton/m3 1.88 m3 Charge Interstitial above Balls ton/m3Balls Density, ton/m3 7.75 13.20 61.40 9.90 0.00 5.400

0.40Power Oversize, % 0.09 Nota:

# Cyclones Cyclone Feed Circulating ton/hr m3/hr Pressureper Mill Diameter, in % Solids Load, % per Cyclone per Cyclone Loss, psi

4 26.00 62.00 250.0 89.0 84.2 0.60

Moly-Cop Tools TM

Porosidad,

HYDROCYCLONES CLUSTER : (Preliminary Sizing)

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

BOND'S LAW APPLICATIONConventional Ball Mill Sizing

Remarks Molino Bolas secundario Ox-Alpamarca-4000 t/d Opcin - 1

GRINDING TASK : Ore Work Index, kWh/ton (metric) 14.08 Specific Energy, kWh/ton 8.61 Feed Size, F80, microns 184.00 Net Power Requirement, kW 736 Product Size, P80, microns 55.0 Number of Mills for the Task 1 Design Throughput, ton/hr 85.51 Net kW / Mill 736

MILL DESIGN PARAMETERS AND OPERATING CONDITIONS : Power, kWJ Jb Jp 613 Balls

Diameter Length Mill Speed Charge Balls Interstitial Lift 0 Overfillingft ft % Critical Filling,% Filling,% Slurry Filling,% Angle, () 99 Slurry11.50 12.50 75.00 40.00 40.00 100.00 35.00 712 Net Total

L/D rpm 14.00 % Losses1.09 16.94 828 Gross Total

% Solids in the Mill 70.00 Charge Mill Charge Weight, tons ApparentOre Density, ton/m3 3.00 Volume, Ball Slurry DensitySlurry Density, ton/m3 1.88 m3 Charge Interstitial above Balls ton/m3Balls Density, ton/m3 7.75 14.74 68.52 11.05 0.00 5.400

0.40Power Oversize, % (3)

# Cyclones Cyclone Feed Circulating ton/hr m3/hr Pressureper Mill Diameter, in % Solids Load, % per Cyclone per Cyclone Loss, psi

4 26.00 62.00 250.0 74.8 70.8 0.41

Moly-Cop Tools TM

Porosidad,

HYDROCYCLONES CLUSTER : (Preliminary Sizing)

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

BOND'S LAW APPLICATIONConventional Ball Mill Sizing

Remarks Molino Bolas secundario Ox-Alpamarca-4000 t/d Opcin - 1

GRINDING TASK : Ore Work Index, kWh/ton (metric) 14.08 Specific Energy, kWh/ton 8.61 Feed Size, F80, microns 184.00 Net Power Requirement, kW 1015 Product Size, P80, microns 55.0 Number of Mills for the Task 1 Design Throughput, ton/hr 118.00 Net kW / Mill 1015

MILL DESIGN PARAMETERS AND OPERATING CONDITIONS : Power, kWJ Jb Jp 845 Balls

Diameter Length Mill Speed Charge Balls Interstitial Lift 0 Overfillingft ft % Critical Filling,% Filling,% Slurry Filling,% Angle, () 136 Slurry12.00 15.50 75.00 40.00 40.00 100.00 35.00 982 Net Total

L/D rpm 14.00 % Losses1.29 16.58 1142 Gross Total

% Solids in the Mill 70.00 Charge Mill Charge Weight, tons ApparentOre Density, ton/m3 3.00 Volume, Ball Slurry DensitySlurry Density, ton/m3 1.88 m3 Charge Interstitial above Balls ton/m3Balls Density, ton/m3 7.75 19.90 92.54 14.93 0.00 5.400

0.40Power Oversize, % (3)

# Cyclones Cyclone Feed Circulating ton/hr m3/hr Pressureper Mill Diameter, in % Solids Load, % per Cyclone per Cyclone Loss, psi

4 26.00 62.00 250.0 103.3 97.7 0.81

Moly-Cop Tools TM

Porosidad,

HYDROCYCLONES CLUSTER : (Preliminary Sizing)

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

BOND'S LAW APPLICATIONConventional Ball Mill Sizing

Remarks Molino Bolas secundario Ox-Alpamarca-4000 t/d

GRINDING TASK : Ore Work Index, kWh/ton (metric) 14.08 Specific Energy, kWh/ton 8.61 Feed Size, F80, microns 184.00 Net Power Requirement, kW 1463 Product Size, P80, microns 55.0 Number of Mills for the Task 1 Design Throughput, ton/hr 170.00 Net kW / Mill 1463

MILL DESIGN PARAMETERS AND OPERATING CONDITIONS : Power, kWJ Jb Jp 1265 Balls

Diameter Length Mill Speed Charge Balls Interstitial Lift 0 Overfillingft ft % Critical Filling,% Filling,% Slurry Filling,% Angle, () 204 Slurry13.50 18.00 72.00 40.00 40.00 100.00 35.00 1468 Net Total

L/D rpm 14.00 % Losses1.33 15.01 1708 Gross Total

% Solids in the Mill 70.00 Charge Mill Charge Weight, tons ApparentOre Density, ton/m3 3.00 Volume, Ball Slurry DensitySlurry Density, ton/m3 1.88 m3 Charge Interstitial above Balls ton/m3Balls Density, ton/m3 7.75 29.23 135.94 21.93 0.00 5.400

0.40Power Oversize, % 0

# Cyclones Cyclone Feed Circulating ton/hr m3/hr Pressureper Mill Diameter, in % Solids Load, % per Cyclone per Cyclone Loss, psi

4 26.00 62.00 250.0 148.8 140.8 1.76

Moly-Cop Tools TM

Porosidad,

HYDROCYCLONES CLUSTER : (Preliminary Sizing)

Moly-Cop Tools / 295680404.xls 11/20/2015 / 16:24:56

PLANTA OXIDOS DE ALPAMARCA

Considerando las medidas internas de los molino de Bolas: 11.35' x 11.50'

BOND'S LAW APPLICATIONEstimation of a Conventional Ball Mill Grinding Capacity

Remarks Base Case Example

GRINDING TASK : Ore Work Index, kWh (net)/metric ton 14.08 Specific Energy, kWh/ton Feed Size, F80, microns 84.71 Net Power Available, kW Product Size, P80, microns 55.0 Number of Mills for the Task Total Plant Throughput, ton/hr 127.65 Net kW / Mill

MILL DIMENSIONS AND OPERATING CONDITIONS :J Jb Jp

Eff. Diameter Eff. Length Mill Speed Charge Balls Interstitial Liftft ft % Critical Filling,% Filling,% Slurry Filling,% Angle, ()10.32 10.46 77.70 40.00 40.00 100.00 35.00

L/D rpm1.0136 18.53

% Solids in the Mill 70.00 Charge Mill Charge Weight, tonsOre Density, ton/m3 3.00 Volume, Ball SlurrySlurry Density, ton/m3 1.88 m3 Charge InterstitialBalls Density, ton/m3 7.75 9.93 46.17 7.45

0.40

Los dos molinos de 11.35' x 11.50' pueden tratar slo 98.47 t/h, para tratar los 127.19 t/h le falta 22.59% de potencia.

Moly-Cop Tools TM (Version 2.0)

Porosidad,

PLANTA OXIDOS DE ALPAMARCA

BOND'S LAW APPLICATIONEstimation of a Conventional Ball Mill Grinding Capacity

3.69 471

1 471

MillPower, kW

405 Balls0 Overfilling

65 Slurry471 Net Total

14.00 % Losses547 Gross Total

Mill Charge Weight, tons ApparentSlurry Density

above Balls ton/m30.00 5.400

Los dos molinos de 11.35' x 11.50' pueden tratar slo 98.47 t/h, para tratar los 127.19 t/h le falta 22.59% de potencia.

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