Model:Bond/Barratt SABC Models - Revision history

Alex Doll: /* Model defaults */

2025-07-18T14:48:52Z

Model defaults

← Older revision		Revision as of 14:48, 18 July 2025
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	* P<sub>C</sub> for Easag= 18850		* P<sub>C</sub> for Easag= 18850
	* P<sub>R</sub>= 2100		* P<sub>R</sub>= 2100
	* CF = 0.10		* CF = 1.10

Alex Doll: /* Optional parameters */

2024-09-23T14:05:25Z

Optional parameters

← Older revision		Revision as of 14:05, 23 September 2024
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	** '''exponent (a)''', the fitted Hukki exponent to the adjustment equation (enter as a positive number)		** '''exponent (a)''', the fitted Hukki exponent to the adjustment equation (enter as a positive number)
	* '''Essbm calibration factor''' (CF), model tuning factor for E<sub>total</sub>		* '''Essbm calibration factor''' (CF), model tuning factor for E<sub>total</sub>
			* '''Easag crushing circuit product''', model tuning factor that dictates where the Barratt Easag equation switches from using the crushing Wi to the rod mill Wi
			* '''Easag RM circuit product''', model tuning factor that dictates where the Barratt Easag equation switches from using the rod mill Wi to the ball mill Wi
			* '''Essbm crushing circuit product''', model tuning factor that dictates where the Bond Essbm equation (the basis for the Barratt Etotal equation) switches from using the crushing Wi to the rod mill Wi

	===Formulae===		===Formulae===

Alex Doll: /* Formulae */

2024-09-23T14:02:07Z

Formulae

← Older revision		Revision as of 14:02, 23 September 2024
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	===Formulae===		===Formulae===
	<math>		<math>
	E_{ssbm} = Wi_{C} \times \left ( \tfrac {10}{\sqrt{ ~~9400~~ }} - \tfrac {10}{\sqrt{ F_{80} }} \right ) + Wi_{RM} \times \left ( \tfrac {10}{\sqrt{ ~~2100~~ }} - \tfrac {10}{\sqrt{ ~~9400~~ }} \right )\times EF_4^{RM} + Wi_{BM} \times \left ( \tfrac {10}{\sqrt{ P_{80} }} - \tfrac {10}{\sqrt{ ~~2100~~ }} \right ) \times EF_4^{BM} \times EF_5</math>		E_{ssbm} = Wi_{C} \times \left ( \tfrac {10}{\sqrt{ Pc_{ssbm} }} - \tfrac {10}{\sqrt{ F_{80} }} \right ) + Wi_{RM} \times \left ( \tfrac {10}{\sqrt{ Prm }} - \tfrac {10}{\sqrt{ Pc_{ssbm} }} \right )\times EF_4^{RM} + Wi_{BM} \times \left ( \tfrac {10}{\sqrt{ P_{80} }} - \tfrac {10}{\sqrt{ Prm }} \right ) \times EF_4^{BM} \times EF_5</math>
	<sup>[[Bibliography:_Specific_energy_consumption_models\|Rowland, 2006]]</sup>		<sup>[[Bibliography:_Specific_energy_consumption_models\|Rowland, 2006]]</sup>

			where
			* Pc<sub>ssbm</sub> is the calibration value entered for "Essbm crushing circuit product" (default: 9400)
			* Prm is the calibration value entered for "Easag RM circuit product" (default: 2100)

	<math> E_{total} = E_{ssbm} \times (CF) </math>		<math> E_{total} = E_{ssbm} \times (CF) </math>
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	</math>		</math>
	<sup>[[Bibliography:_Specific_energy_consumption_models\|Barratt, 1989]]</sup>		<sup>[[Bibliography:_Specific_energy_consumption_models\|Barratt, 1989]]</sup>

			where
			* P<sub>C</sub> is the calibration value entered for "Easag crushing circuit product" (default: 18850)

	<math> E_{bm}= E_{total} - E_{sag}</math>		<math> E_{bm}= E_{total} - E_{sag}</math>

Alex Doll: /* Optional parameters */

2023-08-30T14:57:24Z

Optional parameters

← Older revision		Revision as of 14:57, 30 August 2023
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	===Optional parameters===		===Optional parameters===
	* '''Description''' and '''Comment''' are optional text fields		* '''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)~~.		* '''Maximum t/h limit''' is a t/h throughput limit above which the mills will turn down by, for example, grinding out.
	* '''T<sub>80</sub> min''' and '''T<sub>80</sub> min''' override the transfer size restrictions built into the model		* '''T<sub>80</sub> min''' and '''T<sub>80</sub> min''' override the transfer size restrictions built into the model
	* [[Ball mill work index adjustment]] used to adjust Wi<sub>BM</sub> for different P<sub>80</sub> sizes.		* [[Ball mill work index adjustment]] used to adjust Wi<sub>BM</sub> for different P<sub>80</sub> sizes.

Alex Doll at 15:30, 3 August 2023

2023-08-03T15:30:45Z

← Older revision		Revision as of 15:30, 3 August 2023
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	[[Category: Bond/Barratt Model]]		[[Category: Bond/Barratt Model]]
	[[Category: P80 adjustment]]		[[Category: P80 adjustment]]
			[[Category: Monte Carlo]]
	== Bond/Barratt Specific Energy Consumption SABC Model ==		== Bond/Barratt Specific Energy Consumption SABC Model ==

Alex Doll: /* Optional parameters */

2022-04-19T22:39:15Z

Optional parameters

← Older revision		Revision as of 22:39, 19 April 2022
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	* '''T<sub>80</sub> min''' and '''T<sub>80</sub> min''' override the transfer size restrictions built into the model		* '''T<sub>80</sub> min''' and '''T<sub>80</sub> min''' override the transfer size restrictions built into the model
	* [[Ball mill work index adjustment]] used to adjust Wi<sub>BM</sub> for different P<sub>80</sub> sizes.		* [[Ball mill work index adjustment]] used to adjust Wi<sub>BM</sub> for different P<sub>80</sub> sizes.
	** '''~~coefficient~~ (a)''', the fitted Hukki ~~coefficient~~ to the adjustment equation (enter as a positive number)		** '''exponent (a)''', the fitted Hukki exponent to the adjustment equation (enter as a positive number)
	* '''Essbm calibration factor''' (CF), model tuning factor for E<sub>total</sub>		* '''Essbm calibration factor''' (CF), model tuning factor for E<sub>total</sub>

Alex Doll at 18:37, 6 March 2022

2022-03-06T18:37:06Z

← Older revision		Revision as of 18:37, 6 March 2022
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	[[Category:Specific Energy Models]]		[[Category:Specific Energy Models]]
	[[Category: Bond/Barratt Model]]		[[Category: Bond/Barratt Model]]
			[[Category: P80 adjustment]]
	== Bond/Barratt Specific Energy Consumption SABC Model ==		== Bond/Barratt Specific Energy Consumption SABC Model ==

Alex Doll: /* Discussion, pebble crushing */

2021-09-20T17:35:51Z

Discussion, pebble crushing

← Older revision		Revision as of 17:35, 20 September 2021
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	The pebble crusher is assumed to be part of the SAG mill for the purposes of this calculation. E<sub>peb</sub> is calculated as the power drawn by the pebble crusher divided by the circuit throughput. This E<sub>peb</sub> is then deducted from E<sub>sag</sub>.		The pebble crusher is assumed to be part of the SAG mill for the purposes of this calculation. E<sub>peb</sub> is calculated as the power drawn by the pebble crusher divided by the circuit throughput. This E<sub>peb</sub> is then deducted from E<sub>sag</sub>.

	The total circuit specific energy consumption is generally higher when no pebble crusher is present in a circuit. The rule of thumb is apply the CF value of 0.15 for SAB circuits (5% higher overall specific energy consumption) <sup>[[Bibliography:_Specific_energy_consumption_models#SPI.2FMinnovex_Method\|Bennett, Dobby & Kosick, SAG 2001]]</sup>. Published data from Cadia confirms a 5% difference in throughput (and therefore, specific energy) when the pebble crusher is fully utilized.<sup>Hart, Valery, Clements, Reed, Song & Dunne, SAG 2001</sup>.		The total circuit specific energy consumption is generally higher when no pebble crusher is present in a circuit. The rule of thumb is apply the CF value of 1.15 for SAB circuits (5% higher overall specific energy consumption) <sup>[[Bibliography:_Specific_energy_consumption_models#SPI.2FMinnovex_Method\|Bennett, Dobby & Kosick, SAG 2001]]</sup>. Published data from Cadia confirms a 5% difference in throughput (and therefore, specific energy) when the pebble crusher is fully utilized.<sup>Hart, Valery, Clements, Reed, Song & Dunne, SAG 2001</sup>.

	=== Discussion, Rowland EF factors ===		=== Discussion, Rowland EF factors ===

Alex Doll: /* Optional parameters */

2021-09-20T17:35:06Z

Optional parameters

← Older revision		Revision as of 17:35, 20 September 2021
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	* [[Ball mill work index adjustment]] used to adjust Wi<sub>BM</sub> for different P<sub>80</sub> sizes.		* [[Ball mill work index adjustment]] used to adjust Wi<sub>BM</sub> for different P<sub>80</sub> sizes.
	** '''coefficient (a)''', the fitted Hukki coefficient to the adjustment equation (enter as a positive number)		** '''coefficient (a)''', the fitted Hukki coefficient to the adjustment equation (enter as a positive number)
	* '''Essbm calibration factor''', model tuning factor for E<sub>total</sub>		* '''Essbm calibration factor''' (CF), model tuning factor for E<sub>total</sub>

	===Formulae===		===Formulae===

Alex Doll: /* Formulae */

2021-09-20T17:34:46Z

Formulae

← Older revision		Revision as of 17:34, 20 September 2021
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	<sup>[[Bibliography:_Specific_energy_consumption_models\|Rowland, 2006]]</sup>		<sup>[[Bibliography:_Specific_energy_consumption_models\|Rowland, 2006]]</sup>

	<math> E_{total} = E_{ssbm} \times (1+CF) </math>		<math> E_{total} = E_{ssbm} \times (CF) </math>


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	The model assumes that the calculated value of E<sub>ssbm</sub> + the specified contingency is greater than the sum of E<sub>sag</sub> + E<sub>peb</sub>; otherwise E<sub>bm</sub> will be negative. The model does a check to see if E<sub>bm</sub> calculated is negative (or close to zero) and, if so, will substitute the [[Model:RawBondModel\|Raw Bond Model]] equation estimate for E<sub>bm</sub>.		The model assumes that the calculated value of E<sub>ssbm</sub> + the specified contingency is greater than the sum of E<sub>sag</sub> + E<sub>peb</sub>; otherwise E<sub>bm</sub> will be negative. The model does a check to see if E<sub>bm</sub> calculated is negative (or close to zero) and, if so, will substitute the [[Model:RawBondModel\|Raw Bond Model]] equation estimate for E<sub>bm</sub>.


	== Recommended Usage ==		== Recommended Usage ==