By Jean-Michel Rendu
An creation to Cut-off Grade Estimation examines the most very important calculations within the mining undefined. Cut-off grades are necessary to selecting the industrial feasibility and mine lifetime of a undertaking. Profitability and socioeconomic effect of mining operations are encouraged by means of the alternative of cut-off grades. Cut-off grades play a key position in estimating mineral reserves that may be publicly reported.
This re-creation is simpler to learn and of larger useful curiosity to practitioners. the connection among optimization of web current worth, means constraints, and chance price is defined in better element. a brand new part discusses mixing concepts, which play a severe function in increasingly more mining operations.
Author Jean-Michel Rendu, an the world over famous specialist within the administration, estimation, and public reporting of mineral assets, offers useful insights. As a supervisor in significant mining businesses, a specialist, and an educator, Rendu has bought huge event in all features of mining engineering, event that was once 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 cutting edge in their profession.
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Extra info for An Introduction to Cut-Off Grade Estimation, Second Edition
In the previous calculations leading to Equation 3-6, the external or mine cut-off grade is that which applies to one metric ton of material of grade x that is exposed to the surface but had not been included in the mine plan. This material can be mined without waste stripping. This next formula considers the case where some waste stripping is needed to mine this material. 00 Copyright © 2013 Society for Mining, Metallurgy, and Exploration, Inc. All rights reserved. 43% Cu (EQ 3-7) This cut-off grade could have been calculated directly by substituting the appropriate values in Equation 3-4.
For many processes and deposits, the recovery r is a function r(x) of the head grade x. The value of Uore(x) must then be written as follows: U ore ( x ) = x ⋅ r ( x )⋅( V − R ) − ( Mo + Po + Oo ) The value of Uwaste(x) remains independent of x: U waste ( x ) = − ( M w + Pw + O w ) Copyright © 2013 Society for Mining, Metallurgy, and Exploration, Inc. All rights reserved. Breakeven Cut-off Grade 29 100 90 Mill Recovery Gold Recovery, % 80 70 60 50 40 30 Leach Recovery 20 10 0 0 1 2 3 4 5 6 7 8 Gold Grade, g/t Figure 3-7â•… Relationship between recoveries and average grade Calculating the cut-off grade requires finding the value of x such that Uore(x) = Uwaste(x).
To decide whether material of grade x should be wasted or stockpiled, one must compare the utility of wasting Uwaste(x) with that of stockpiling Ustp(x). The cut-off grade between stockpile and waste is the value xc of x for which Ustp(x) = Uwaste(x). Copyright © 2013 Society for Mining, Metallurgy, and Exploration, Inc. All rights reserved. Breakeven Cut-off Grade 41 The utility of wasting material of grade x is U waste ( x ) = − ( M w + Pw + O w ) To calculate the utility of stockpiling, one must take into consideration stockpiling costs, and the cost of retrieving material from the stockpile and processing it at a later date.