S2_12_10_Mario_Pacheco.pdf
Transcript of S2_12_10_Mario_Pacheco.pdf
Dynamic Cut-Off and its Application to Maximize Mineral Reserves Inventory
CONTENT
Introduction
Methodology
Results and Discussion
Conclusion
IV Región
de Coquimbo
Provincia Limarí
Comuna Punitaqui
Latitud : 30º43’ S
Longitud : 71º12’ W
400-600 msnm
30°
71°
LOCATION
71°
30°
Introduction
Development Preparation Exploitation Unnderground
Transport
Transport
Mine to Plant
Treatment
Plant
OPERATION
Transport Mine to Plant 24 Kilometers
Sub Level Open Stoping
Flotation Plant 3100 tpd
Introduction
ECONOMIC EVALUATION (Max. NPV)
LONG TERM PLAN
ESTIMATE OF RESOURCES
AND RESERVES
CUT –OFF GRADE
(COG)
METALLURGICAL RESULTS (GRADES&RECOVERY)
TECHNOLOGY HUMAN PROCESS
MARKET CONDITIONS
PAYMENTS (+) AND DEDUCTIONS (-)
MARKETING AGREEMENT
VALUE OF MINERAL OPERATIONAL AND
CAPITAL COST
MINERAL OCCURRENCE (MINERAL DEPOSITS)
TECHNOLOGY HUMAN PROCESS
SUPPLIES AND SERVICES
INCREASE PRODUCTION
IMPROVE METALLURGICAL
RESULTS (GRADES/RECOVERY)
CHEAPER METHODS
ITERATION PROCESS
OPTIMIZATION MINING BUSINESS MODEL
K. Lane's algorithm
rsp
NPVifcpcmCOG
*)(
)*(
)(COGfNPV
K. Lane's algorithm
Methodology
LERCH-GROSSMAN ALGORITHM
•The optimization process is based on incremental prices, where only economic blocks within particular price limits are defined as mineral reserves. •It is a marginal cost analysis, which sensitizes the mining cost (ore + waste), where higher value blocks absorb higher pre-stripping areas, and marginal blocks only absorb the minor stripping areas, giving a positive balance, thus leading to the maximization of ore reserves.
Open Pit Mine
Methodology
LERCH-GROSSMAN ALGORITHM
•The minimum cut-off grade (COG), applied to a block is that the present net cash flow value generated, must be equal to the investment capital needed to exploit this block. •In our case, with Underground Mining, each mining block, in addition to its marginal cost, has a capital or opportunity cost assigned, which is the cost of development and/or preparation (i * NPV ). •For blocks that have already been prepared, the equation (i * NPV = 0) is equal zero, and hence COG is less, since adjacent exploited blocks have assumed the primary development and preparation costs.
Methodology
Underground Mine
CONVERSION OF MINERAL RESOURCES TO RESERVES
USING DYNAMIC CUT-OFF
The application of the dynamic cut-off, assigns a cut-off value to each block of ore,
according to the stage where the block is or will be each time the deposit is evaluated,
and assigns only remaining costs to be absorbed in any new status in the future.
5%7%
12%
5%
27%
10%
0%5%10%15%20%25%30%35%40%45%50%55%60%65%70%75%80%85%90%95%100%
Unit Cost AnalysisProfit
Financial
Capex
Deductions
Smelting
Concentrate FreightIndirect
Mill
Transport
Explotation
Preparation
P. Development Costing by Process
Have the mine infrastructure design according to the
Mined Method, which will allow variables of primary
development ratios and preparation to be defined by
sector.
Define mining recovery and dilution variables by
sector. Ore grades, and subsequently ore values, are
adjusted with these variables.
Have proficient management of the “Activity-Based
Costing” (ABC) method, which will allow each block to be
assigned a marginal and capital cost at each stage or
process.
K. Lane's algorithm
Methodology
Parameter Unit Amount
Mining Dilution % 10
Mining Recovery % 90
Pillar Recovery % 70
Primary Development (US$/t) 4.00
Preparation (US$/t) 5.57
Parameter Unit Amount
Explotation (US$/t) 10.27
Transport to Plant (US$/t) 4.65
Plant Cost (US$/t) 23.08
Indirect Cost (US$/t) 8.75
Concentrate Freight (US$/t) 0.79
Total Cost (US$/t) 47.55
Copper Price (US$/t) 8,000
Silver Price (US$/Oz) 27
Copper recovery % 77
Silver recovery % 55
Copper Conc.Grade % 27
NSR Copper (US$/tmf) 7,109
In terms of the following parameters, each mining block should be assigned a
status, which will change in time and in function of the depth and development,
hence the opportunity cost will decrease in time.
COG 1 is applied to blocks that have not been through
primary development or subsequent stages (SDP).
COG 2 is applied to blocks (Rendu, J.M., 2008) that have
already been through primary development and need to go
through the preparation stage and subsequent stages (DP).
COG 3 is applied to blocks that have been through the
primary development and pereparation stages, but have yet to
undergo the exploration stage or subsequent stages (DP+ P).
CUT-OFF-GRADE ESTİMATE (COG)
Methodology
RESULTS AND DISCUSSION
With the following parameters assigned to each mining block, one can proceed to
convert all indicated and measured resources to proven and probable reserves.
Results
Our reserves increased 12.0% in tons of mineral and 11.4% in
metallic fine tons. It is increasing the life of the mine (LOM).
This methodology allowed us to increase our reserves by 12.0% in tons of mineral and 11.4% in
metallic fine tons, increasing the life of the mine (LOM).
The total reserve value increased by 11.14% in tonnes of fine copper which is equivalent to an
additional 46.6 million dollars in the company’s cash flow.
This dynamic cut-off grade estimation methodology assigns a cut-off value to each mineral block,
according to the stage in which it is found, each time the deposit is evaluated. This block is only assigned
the remaining costs, which will be absorbed in a future state.
This demonstrates that ore blocks with greater values support all costs associated with the primary
development phase, and in many cases, the preparation of the exploration phase. Consequently, the
blocks adjacent to these sectors should be evaluated only with costs that complement the process chain
around the mining business (Camus, J. P. 2002).
This methodology is applicable when there is cost management by activities, which allows one to define
the costs of each mining process (primary development + preparation + mining + transport to metallurgical
plant) and subsequent processes, which will have an estimate of dynamic cut-off for each block according
to the status in which it is at every moment.
CONCLUSIONS
Conclusion
Thanks