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If your a grade control geologist, you need to see this.
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Optimum Dig-line Design
Isaaks & Co. 2013
Topics
1. Case Study
2. The Digger Algorithm.
3. Working With Digger.
4. Features.
5. Applications
6. Conclusions and Recommendations
The Case Study
Dig–line Case Study
This is an actual case study from an open pit gold mine.• Approximately 3.5 million tonnes of material.• Selective mining unit approx. 10 x 10 m.• Client dig-lines designed manually using MineSight.• Optimum dig-lines designed using computer program
Digger.• Both sets of dig-lines were designed using the identical ore
control model.
Dig–line Case Study
Green = Waste
Orange = LG
Red = HG
Magenta = Premium
The Clients Dig-lines
The Ore Control Model
Optimum Dig-lines
Dig–line Case Study Open Pit Gold Mine• Although the 2 sets of dig-lines appear similar, they are significantly
different.• For example, compare the dig-line tonnages by ore type.
• Note, the client dig-lines capture fewer tonnes in the higher grade ore types (Premium and HG).
Dig–line Case Study Open Pit Gold Mine• Next, compare the dig-line $/tonne (grade) by ore type.
• As expected, the $/tonne (grade) of the higher grade ore types within the client’s dig-lines is greater.
Dig–line Case Study Open Pit Gold Mine• Finally, compare the total dig-line revenues by ore type.
• Interestingly, the revenue generated by the optimum dig-lines is greater in the high grade ore types but less in the low grade ore types.
Dig–line Case Study
Open Pit Gold Mine
Dig-line Comparison – Observations and Conclusions• The High Grade and Premium dig-lines designed by the client capture fewer
tonnes than the optimum dig-lines. • This suggests an aversion to include waste or LG material within the High Grade
and Premium ore type dig-lines. • This appears to be a personal bias common amongst conscientious grade
control engineers.• The result can be seen as “high grading the ore control model”.• “High grading” generally results in fewer tonnes with higher grades. But less total
metal is generally recovered!
Dig–line Case Study
Summary of Dig-line Comparisons
5.8% increase in net revenue!
Dig-linesTotal Revenue
(LG+HG+Premium)
Client $ 119,574,769
Optimum $ 126,578,504
Open Pit Gold Mine
A Second Dig-Line ExampleClient Dig-lines Optimum Dig-lines
5.0% revenueincrease
The Algorithm
Digger2020
So, how does Digger2020 work?• Digger2020 uses simulated annealing to design optimum dig-lines.• The dig-lines are optimum in the sense that they minimize the
misclassification of ore types for a given set of loss functions and a minimum mining width constraint.
• ALL misclassification errors cost real dollars. So by minimizing these errors, optimum dig-lines maximize net revenue subject to the given constraints.
Digger2020 Here is an example.
• Ore control model blocks are 2 x 2 m x bench height.• Minimum mining width is 10 m.• Possible destinations are waste, leach pad, or mill.• Which destination yields the most revenue?
Digger2020 Digger answers this question by calculating the dollars lost for each 2 x 2 m OCM block for each destination (process) where the dollar loss is calculated as:
and
• The “Loss Function” is defined by the red text.
$Loss = abs Potential Revenue - Recovered Revenue
$ Revenue = metal price * block grade * process recovery - process break even cost
Digger2020 An Example “Loss Function”
$(W) = revenue generated by
waste process = 0.
$(Lpad) = revenue generated
from Leach pad process.
$(Mill) = revenue generated
from Mill process.
MisclassificationPotential Revenue
Recovered Revenue Penalty
W => Lpad $(W) $(Lpad) 1.0
W => Mill $(W) $(Mill) 1.0
Lpad => W $(Lpad) $(W) 1.0
Lpad => Mill $(Lpad) $(Mill) 1.0
Mill => W $(Mill) $(W) 1.0
Mill => Lpad $(Mill) $(Lpad) 1.0
$ Revenue = metal price * block grade * process recovery - process break even cost
Note the Penalty factor!
Working With Digger
Working With Digger2020 Digger2020 is very easy to use!
Import the optimum dig-lines into MineSight and use as guidelines for the final dig-
line design.Digger2020 is a
small, but complex C++
program.
Working With Digger2020 Digger2020 is very easy to use!
Example input .csv file containing ore control block
model grades. In this example, the current blast
requiring dig-lines is Shot30.Shot99 and Shot25 identify “fringe” ore control blocks that Digger uses to design dig-lines. This minimizes
edge effects.
Working With Digger2020
Digger2020 is very easy to use!
An example of the Digger Control Parameter file.
A note on minimum mining widths. Minimum mining widths can be set to any dimension. They may be horizontally square or rectangular.
Working With Digger2020 Digger2020 is very easy to use!
An example of the optimum polygon file output by
Digger2020.This file is imported into
MineSight for the final dig-line design
Working With Digger2020
Digger2020 is very easy to use!
Another example of optimum dig-lines.
Working With Digger2020
Digger2020 is very easy to use!
An example of the summary statistics put out by
Digger2020.(Lines 1 to 43)
This file is an excellent record for the reconciliation
of mine to mill or mine to resource model tonnes and
grade etc.
Working With Digger2020
Digger2020 is very easy to use!
An example of the summary statistics put out by
Digger2020.(Lines 44 to 90)
Note the Misclassification Summary. The percentage of ore type blocks misclassified in each ore type is provided. These statistics are very useful for the design of penalty factors.
Penalty factors can be used to influence specific misclassification rates. For example, given a hungry mill, one can optimally influence the
selection of non-mill ore types to supplement mill ore type material.
Working With Digger2020
Digger2020 is very easy to use!
An example of the summary statistics put out by Digger2020.
(Lines 91 to 106).In addition to the tonnes and grade for each ore type, the bottom line
shows the in-situ Total Net Worth of the material captured by the dig-lines.
Features
Digger Features
Variable minimum mining widths.
Minimum mining width
16 x 8 m
Digger Features
Variable minimum mining widths.
Minimum mining width 12 x 12 m.Less selectivity =
more dilution.
Digger Features
Variable minimum mining widths.
Minimum mining width 6 x 10 m.This might be feasible if the
shovel is mining along strike.
Digger Features
An example showing the application of penalties to the misclassification of HG and VHG ore types.
The application of the penalties increased the VGH tonnage from 160,625 to 171,100 tonnes (recall
the hungry mill). The average grade dropped from 2.139 to
2.093 g/t .
No PenaltiesPenalty ( HG => VHG ) = 0.5 Penalty ( VHG => HG ) = 1.5
Digger FeaturesDetailed Statistical Summary for Each Run• As you have seen, Digger can generate significantly different sets of dig-
lines by altering a few parameters such as minimum mining width and penalty factors.
• The detailed statistical summary provided by Digger enables one to easily assess and compare dig-line sets obtained by altering the input parameters.
• Thus, as loading equipment changes (due to repair etc.) or as mining progresses from one geologic zone to another, Digger easily enables optimum dig-lines for the situation at hand.
Applications
Digger ApplicationsGrade Control• Digger can be customized to handle as many as 15 different ore types.• Digger also works with rotated ore control models.• Minimum mining widths can be set to any width. The minimum mining width
perpendicular to the shovel dig direction may be different from the minimum mining width parallel to the shovel dig direction.
• The polygon dig-lines output by digger may be imported into MineSight, Vulcan, or Gemcom etc.
• Digger is currently used by Barrick Gold, Newmont Mining, IAM Gold, and Freeport McMoRan.
Digger ApplicationsMine Design -- Example Case Study• Narrow vein type deposit.• Client wished to know recoverable tonnes and grade for various mining
widths (equipment size).• Resource model blocks measured 10 x 5 x 5 ft.
Digger ApplicationsMine Design -- Example Case Study
Scenario 1 – 15 x 10 m minimum mining width (very selective)
Digger ApplicationsMine Design -- Example Case Study
Scenario 2 – 20 x 15 m minimum mining width (less selective).
Digger ApplicationsMine Design -- Example Case Study
Scenario 3 – 30 x 25 m minimum mining width (excessive dilution).
Digger ApplicationsEstimate recoverable reserves as a function of mine design, e.g., equipment size or selectivity, bench height, blast hole drill pattern, blast hole sampling error etc.
1. Generate a (multivariate) conditional simulation of the ore deposit.
2. Validate the simulation.
3. Extract a subset of simulated values on a nominal blast hole pattern.
4. Add blast hole sampling errors etc.
5. Estimate ore control block model grades using the simulated blast hole grades.
6. Run Digger on the simulated ore control block grades.
7. Assess efficiency of mine design (compare in situ simulated reserves to recovered simulated reserves).
Summary and Conclusions
Summary and Recommendations• Experience suggests that sub-optimal dig-line design is one of the largest
sources of revenue loss in an open pit operation, e.g., ore sent to the dump is very costly!
• No matter how skilled your grade control engineers are at dig-line design, they cannot compete with Digger.
• Experience shows Digger will likely increase your net revenue by 2 to 5%.• Digger offers the biggest bang for your buck. Simply purchase a license and
start saving money.• No additional sampling, equipment, geologists or engineers required.• Digger will likely earn it’s keep in 1 or 2 blasts!• Order Digger today – don’t waste another tonne!• email [email protected]
The end