# Model:Bond/Barratt SAB Model

## Contents

## Bond/Barratt Specific Energy SAB Consumption Model

This is a SAG or AG mill plus ball mill model that estimates the overall circuit specific energy consumption using the classical Bond work index equation for multi-stage crushing and single-stage ball milling (E_{ssbm}) including Rowland efficiency factors. The circuit E_{total} is equal to the E_{ssbm} plus an inefficiency/contingency factor (CF) related to the difference in grinding efficiency of the two types of circuits. The SAG mill specific energy consumption (E_{SAG}) is calculated using the 1979 Barratt equation and the ball mill specific energy consumption (E_{bm})

This model includes a phantom cyclone effect in the equations due to the ball mill being calculated by difference and not being calculated by the normal Bond equation. The resultant operating work index of the ball mill will vary according to the ratio of the ball mill, rod mill and crushing work index values and for an Andean copper porphyry is typically in the range of 80% of the measured ball mill work index value.

### Testwork Required

### Required parameters

**F**is the 80% passing size of the fresh feed to the circuit (expected to be a Bond-compatible size distribution)._{80}, µm**P**is the 80% passing size of the circuit product (expected to be a Bond-compatible size distribution)._{80}, µm**Availability**, expressed as a decimal (0.90 = 90% availability) is used to convert t/h to t/d.- Ball mill
**Operating strategy**when circuit is SAG-limited (note, fixed speed can only be*vary P*)_{80}

### Optional parameters

**Description**and**Comment**are optional text fields**Maximum t/h limit**is a t/h throughput above which a warning message is displayed (but does not actually limit the throughput).**T**and_{80}min**T**override the transfer size restrictions built into the model_{80}min- Ball mill work index adjustment used to adjust Wi
_{BM}for different P_{80}sizes.**coefficient (a)**, the fitted Hukki coefficient to the adjustment equation (enter as a positive number)

**Essbm calibration factor**, model tuning factor for E_{total}

### Formulae

### Discussions

Refer to the discussions in the Bond/Barratt SABC circuit model for background on the transfer size and the use of the Rowland efficiency factors (EF4 & EF5).

### Model defaults

- Maximum T
_{80}, µm = 5000 - Minimum T
_{80}, µm = 400 - P
_{C}for Essbm= 9400 - P
_{C}for Easag= 18850 - P
_{R}= 2100 - CF = 0.15