By Jean-Michel Rendu
An advent to Cut-off Grade Estimation examines some of the most vital calculations within the mining undefined. Cut-off grades are necessary to deciding on the commercial feasibility and mine lifetime of a undertaking. elevated cut-off grades can lessen political hazards through making sure larger monetary returns over a shorter time period. Conversely, decrease cut-off grades may possibly raise venture lifestyles with longer financial advantages to shareowners, staff, and native groups. Cut-off grades additionally impression mentioned reserves, that are heavily monitored through inventory exchanges and regulatory organizations.
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Extra info for An Introduction to Cut-off Grade Estimation
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.
00 per metric ton. Figure 3-4 shows the relationship between recovery and grade, as determined from metallurgical testing and historical production statistics. 00-per-ounce charge. Figure 3-5 shows the profit that will be made depending on whether material of grade x is wasted (Uwaste(x)), sent to the leach pad (U1(x)), or processed in the mill (U2(x)). It also illustrates how the cut-off grade can be determined by graphical method. The relationship between the utility of leaching or milling material and the average grade of this material is no longer linear.
Electronic edition published 2009. 91 g/t Cut-off xs = 5 g/t –$20 Grade, grams per metric ton FIGURE 3-9 Opportunity cost of using a cut-off grade higher than the optimal cut-off grade © 2008 by the Society for Mining, Metallurgy, and Exploration. All rights reserved. Electronic edition published 2009. 36 CHAPTER THREE Integrating this formula from x = xs to x = xc, the total opportunity cost is obtained: total opportunity cost = [ Q ( x s ) – Q ( x c ) ] ⋅ ( r 2 – r 1 ) ⋅ V – [ T ( x s ) – T ( x c ) ] ⋅ ( P o2 – P o1 ) In this formula, T(xs) – T(xc) is the tonnage of material with average grade between xs and xc and Q(xs) – Q(xc) is the quantity of metal contained in this material.
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