An Introduction to Cut-off Grade Estimation by Jean-Michel Rendu

By Jean-Michel Rendu

An creation to Cut-off Grade Estimation examines the most vital calculations within the mining undefined. Cut-off grades are necessary to making a choice on the industrial feasibility and mine lifetime of a undertaking. elevated cut-off grades can decrease political dangers through making sure larger monetary returns over a shorter time period. Conversely, reduce cut-off grades may possibly elevate venture existence with longer financial advantages to shareowners, staff, and native groups. Cut-off grades additionally impression suggested reserves, that are heavily monitored by way of inventory exchanges and regulatory firms.

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91 grams/metric ton. 08 grams/metric ton, respectively. © 2008 by the Society for Mining, Metallurgy, and Exploration. All rights reserved. Electronic edition published 2009. 71 g/t $10 $0 0 1 2 3 4 5 6 7 8 –$10 –$20 Head Grade, grams per metric ton FIGURE 3-5 Graphical estimation of cut-off grade between wasted, leached, and milled material with variable recoveries © 2008 by the Society for Mining, Metallurgy, and Exploration. All rights reserved. Electronic edition published 2009. 32 CHAPTER THREE Constant Tail: Mathematical Formulation A model often used to represent the relationship between plant recovery and average grade of plant feed is the constant tail model.

0 If the recovery r and the processing cost Po were independent of T+c, this equation would be easily solved for xc : x c = P o ( T +c ) ⁄ [ r ( T +c ) ⋅ V ] = P o ⁄ [ r ⋅ V ] The mill cut-off grade is recognized here. The term Q+c · dr(T+c)/dT+c · V represents the change in the value of the product sold in one year that results from the change in recovery. The term T+c · dPo(T+c)/dT+c represents the change in operating cost per year that results from the change in processing cost per metric ton.

All rights reserved. Electronic edition published 2009. 24%Cu –$4 –$5 Grade, %Cu FIGURE 3-7 Graphical estimation of cut-off grade between wasted and milled material with constant tail difference between the utility of the chosen process and that of the optimal process for the same average grade. Figure 3-9 shows the opportunity cost incurred per metric ton when a leach-mill cut-off grade of 5 grams/metric ton is used. Let U1(x) be the utility of leaching one metric ton of material of grade x and U2(x) the utility of milling the same metric ton.

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