By Jean-Michel Rendu
An advent to Cut-off Grade Estimation examines essentially the most vital calculations within the mining undefined. Cut-off grades are necessary to deciding upon the industrial feasibility and mine lifetime of a undertaking. Profitability and socioeconomic effect of mining operations are inspired via the alternative of cut-off grades. Cut-off grades play a key position in estimating mineral reserves that may be publicly reported.
This new version is less complicated to learn and of higher functional curiosity to practitioners. the connection among optimization of internet current price, means constraints, and chance expense is defined in better element. a brand new part discusses mixing recommendations, which play a severe function in more and more mining operations.
Author Jean-Michel Rendu, an across the world well-known professional within the administration, estimation, and public reporting of mineral assets, offers sensible insights. As a supervisor in significant mining businesses, a expert, and an educator, Rendu has received enormous event in all features of mining engineering, event that used to be integrated into this publication.
This is a must-read for mine managers, analysts, geologists, mining engineers, and public policymakers who are looking to remain at the innovative in their profession.
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Additional info for An Introduction to Cut-Off Grade Estimation, Second Edition
5 million metric tons. The higher-grade tons could be sent to the mill and the lower-grade tons could be stockpiled. But such an approach is likely to increase short-term costs without increasing revenues from concentrate sales. No advantage is taken of the higher copper price. Another option would consist of increasing mill throughput by increasing grind size. The result would be a decrease in operating cost per metric ton. However, this is expected to result in a decrease in mill recovery. 1 T+ c This relationship between operating cost per metric ton and tonnage processed per year is shown in Figure 3-16.
All rights reserved. 381% Cu and containing 332 million pounds of copper. 24 = $108 million Because of an unexpected increase in copper price, the mining company is investigating whether short-term changes could be made to the mill feed and throughput, which would result in increased utility. 00 that was used for planning. The mine plan cannot be changed for at least one year, and only changes in operating conditions can be made to the processing plant. One option is to operate the mine and mill as planned while selling the concentrate at the higher price.
Depending on the metallurgical properties of the ore, using a coarser grind will increase plant throughput while reducing cost per metric ton processed and decreasing recovery. Conversely, a finer grind can decrease plant capacity, increase processing cost and recovery. Mathematical Formulation The following notations are used in this section: r = processing plant recovery V = value of copper contained in concentrate, after deduction for smelter loss, freight, smelting, and refining costs Po = cost per metric ton of ore processed, including overhead xc = cut-off grade T+c = tonnage above cut-off grade to be processed in one year Q+c = quantity of copper to be processed in one year x+c = average grade above cut-off grade Since mining capacity and costs are fixed, the utility function that must be optimized to estimate the economically optimal grind size is only a function of mill operations and can be written as follows: U ( T+ c ) = Q + c ⋅ r ( T+ c ) ⋅ V − T+ c ⋅ Po ( T+ c ) where U(T+c) = utility of running the plant at T+c capacity for one year r(T+c) = processing plant recovery, if plant capacity is T+c Po(T+c) = cost per metric ton of ore processed, if plant capacity is T+c Q+c is also a function of T+c.