# Benchmarking: Amelunxen SGI - Agnico Eagle

## Contents

## Benchmarking: Amelunxen SGI Specific Energy Consumption - Agnico Eagle Laronde

*Starkey, J., Robitaille, J., Cousin, P., Jordan, J. and Kosick, G.*, **Design of the Agnico-Eagle Laronde Division SAG mill**. Proceedings of SAG 2001, pages III-165 to III-178.

Survey conducted shortly after start-up

Actual operating data, table 7 from the reference

- Throughput = 210 dry tonnes per hour
- SAG circuit F
_{80}= 100 mm - transfer T
_{80}= 244 µm - circuit P
_{80}= 74 µm - SAG power draw (at motor input) = 1350 kW (at mill shell = 1283 kW)
- SAG mill ball charge = 10.6 % vol
- SAG mill discharge % solids = 84% weight
- SAG mill speed 8.59 RPM (53.4% of critical)
- E
_{SAG}at mill shell = 1283/210 = 6.11 kWh/t

(to achieve DCS power of 1350 kW requires 14% vol mill load)

- ball mill power draw (sum of 2 mills, at motor input) = 1422 kW (at mill shell = 2 × 674 kW = 1348 kW)
- ball mill % solids = 83% weight

(to achieve 1424 kW, assume 30% vol mill charge, 17 RPM)

- E
_{bm}at mill shell = 1348/210 = 6.41 kWh/t - ball mill operating Wi
_{O}relative to motor input = 13.0 kWh/t (= 13.7 kWh/t relative to mill shell)

## Design Criteria

- SGI (actually SPI™) of ore (Oct 1, 2000 to - April 30,2001); assumed to be the 25
^{th}percentile = 24 minutes. - Wi
_{BM}assumed to be 10 kWh/tonne. - Plant availability = 94.4%

Mill criteria

- SAG mill: 24 foot nom diam by 12 foot effective grinding length (EGL)
- ball mill: two 11 foot nom diam by 17 foot (assumed to be EGL)
- SAG mill single variable speed motor 4500 HP
- Ball mill single fixed speed motors 1000 HP (each mill)
- assume rubber liners in SAG, nominal 8½ inch liner thickness
- assume steel liners in ball mills, nominal 3¼ inch liner thickness

## Modelling

The Amelunxen SGI model for SAB circuit is used.

- circuit F
_{80}= 100 mm - circuit P
_{80}= 74 µm

SAG mill is modelled using following:

- full Morrell SAG grate C-model
- assume ore density 2.7 t/m³
- effective dimensions 6882 mm diam × 3657 mm EGL

Ball mill is modelled using following:

- full Morrell ball mill wet overflow C-model
- assume ore density 2.7 t/m³
- effective dimensions 3186 mm diam × 5181 mm EGL

The model defaults are used for:

- CF
_{SAG}= 1.0 (normal feed size, no pebble crushing) - CF
_{ball}= 1.10 (relationship for Los Bronces in Amelunxen et al, 2013)

## Results

Result for default Amelunxen SGI SAB model conditions:

Esag | Epeb | Ebm | Etotal | t/h | |
---|---|---|---|---|---|

Predicted | 6.5 | - | 6.9 | 13.4 | 196 |

Survey | 6.1 | - | 6.4 | 12.5 | 210 |

Difference | 0.4 | - | 0.5 | 0.9 | 14 |

Difference | model 7% high | - | model 8% high | model 7% high | model 7% low |

## Discussion

The calibration factor for SAG milling, CF_{SAG}, is given in Amelunxen et al (2013) as:

- 1.00 for "normal feed size with no pebble crushing",
- 0.90 for "fine SAG feed"
- 0.85 for "pebble crushing"
- 0.77 for both "fine SAG feed" and "pebble crushing"

Back-calculating the CF_{SAG} for Laronde ore gives 0.94, mid-way between "normal" and "fine" in the list above. Amelunxen et al (2013) do not actually reveal what the basis is for determining if an ore is "fine", but 100 mm could be on the cusp of being fine or coarse. In reality, the CF_{SAG} factor should be a continuous and smooth function of feed size and not a step-change.

The Starkey et al (2001) reference does not give a suitable range of ball mill work index values suitable for determining a 25^{th} percentile. The operating work index is given as 12.3 kWh/t (13.0 kWh/t motor input basis). Back-calculating a CF_{ball} value is not really possible with the data provided.

If the model is run with a manual CF_{SAG} = 0.95, the following results are returned:

Result for Amelunxen SGI SAB model with CF_{SAG} = 0.95

Esag | Epeb | Ebm | Etotal | t/h | |
---|---|---|---|---|---|

Predicted | 6.4 | - | 6.8 | 13.2 | 199 |

Survey | 6.1 | - | 6.4 | 12.5 | 210 |

Difference | 0.3 | - | 0.4 | 0.7 | 11 |

Difference | model 4.9% high | - | model 6.3% high | model 5.6% high | model 5.5% low |