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24-MMP-A4 Mine Valuation and Mineral Resource Estimation · December 2014

Question 19 of 27: 5: Grade of the Block

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

EGBC National Exam — Mining and Mineral Processing Engineering, 09-Mmp-A4 Mine Valuation and Mineral Resource Estimation, 2014-Dec. 3 hours duration; one handwritten 8.5×11 in reference sheet permitted (not an open-book exam); only approved Sharp or Casio calculators allowed. Question 1 is compulsory (40 marks, parts 1.1–1.7); candidates then select FOUR of the six optional Questions 2–7 (15 marks each) to complete the paper.

Reference texts: Isaaks & Srivastava, An Introduction to Applied Geostatistics (variogram modelling, kriging estimators, volume–variance relations); Hustrulid, Kuchta & Martin, Open Pit Mine Planning and Design (mine valuation, NPV and cut-off grade methodology, mineable reserves); Gentry & O'Neil, Mine Investment Analysis (Canadian mining taxation, smelter/refining contract terms, net smelter return); SME Mining Engineering Handbook, 3rd ed. (mineral exploration/evaluation stages, ore reserve classification); CIM Best Practice Guidelines and NI 43-101 (Canadian Securities Administrators).

Question 4.2.5: Grade of the Block (1 mark)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

Given. w1 = 0.4595, w2 = 0.5405, v1 = 0.5% Cu, v2 = 0.3% Cu.

Approach. The ordinary-kriging block-grade estimate is the weighted linear combination of the sample grades, Z*B = w1v1 + w2v2.

  1. Weighted average grade. $$Z_B^*=w_1v_1+w_2v_2=0.4595(0.5)+0.5405(0.3)=0.22975+0.16215=\boxed{0.392\%\ Cu}$$
QuantityValue
Kriged block grade0.392% Cu
Check
Check: w1+w2 = 0.4595+0.5405 = 1.0000, confirming the unbiasedness constraint holds exactly for the given weight vector.