A OPEN PIT MINING AÇIK OCAK MADENCİLİĞİ
A OPEN PIT MINING AÇIK OCAK MADENCİLİĞİ A OPEN PIT MINING AÇIK OCAK MADENCİLİĞİ
contains 94’311 blocks. In this section the following assumptions are made: a) The mine is not processing the ore blocks in the plant b) The mine is producing blended ore to the market c) There is no limit on the demand for the product d) The mine should produce a blended product with a quality of minimum 65% of Fe, and 0.15% of P and 0.2% of S in maximum. Figure 3. Ore body model of Gol-e-Gohar iron ore mine number 2 The grade-tonnage curves and curves for cut-off iron versus average iron, sulfur, and phosphor is generated for the deposit (Figure 4). content. Therefore, the constraint on P content is relaxed for all the blended products. This graph is used to determine the cut-off grade of iron in accordance with the blend requirements. Based on this graph and the traditional way of selecting ore blocks, a cutoff grade of 61% of Fe content satisfies final product requirements. Based on the determined cutoff grade, 346 blocks were selected as ore blocks. After recognizing of ore blocks, the block economic value of these blocks were assigned to be equal to the value of final product and the economic value of other block were assigned as waste blocks. The economic block model is then fed into a pit limit optimizer. In this paper, maximum flow algorithm was used to optimize the ultimate pit limit (as in Osanloo et al. 2010). Using the technique, the optimized pit limit contains 6383 block which 336 of them are ore blocks. The aim of this work is to design an optimized pit-blend limit. To do so, the procedure described in figure 1 is applied to the block model of Gol-e-Gohar iron ore deposit. The mathematical model (equations 2-5) is solved by jDE algorithm, to optimize the selection of blocks that meets the blending requirements. Solving the blend optimization model, 2015 blocks are selected as potential ore block to be fed into the pit optimizer. The selected blocks satisfy the requirements of blended product. Then the economic block model is constructed and fed into a pit limit optimizer. Using maximum flow algorithm, the optimal pit of the mine is determined. On the final iteration of the procedure, the optimized pit limit contains 26083 blocks which 1995 blocks of them are ore blocks. The ultimate pit limit of the optimized pitblend limit and the pit determined by traditional method (Mol and Gillies, 1984) is shown in figure 5 and 6. Figure 4. Grade tonnage curves of the deposit According to the grade-tonnage curves, all of the ore blocks satisfy the constraint of P Figure 5. Perspective of ultimate pit limit 126
. 23 rd Figure 6. Ultimate pit limit based on gradetonnage curve (not blend pit) and optimized pit-blend 6 DISCUSSIONS AND CONCLUSIONS Pit limit is a set of those blocks that are profitable to be exploited by open pit mining methods. There are a number of pit design algorithms which require that the economic value of each block to be determined prior to applying the algorithms. In traditional pit limit optimization techniques, one cannot take into account the requirements of blending. Some commodities such as iron ore, coal, limestone, and industrial minerals that are direct shipped need to be blended to provide a product that suits consumer’s requirements. In order to determine the economic value of these blocks, one needs to first select the set of blocks that can be blended. After this, one could apply any available method to determine the ultimate pit limit (UPL). In this paper a combined approach is used to determine the pit limit of an open pit mine considering the requirements of blending. In this approach, using a self-adaptive differential evolution algorithm, called jDE, first those ore blocks that meet the blended product requirements are selected, and then the ultimate pit limit is determined using maximum flow theory. The resulting pit is a combination of those blocks that are profitable to be exploited by open pit mining and are capable of being shipped directly. This method is helpful in conducting a better production plan with regard to satisfy the consumer’s requirements. The proposed blending model is an integer programming model and it is solved using jDE algorithm. The jDE is a fast algorithm for solving large optimization problems. In determining the pit-blend limit for the mine, the time of extracting the block is not considered. It is an obligation for the mine to produce a final product with a stable quality. So, using the pit-blend optimizer for long term planning may not be useful, but, determination of an optimized pit-blend limit is very helpful in medium term and short term mine planning. REFERENCES Akbari, A. D., Osanloo, M., &Akbarpour, S. M., 2009. Reserve estimation of an open pit mine under price uncertainty by real option approach, Mining Science and Technology, China University of Mining and Technology, 19(6), pp.709-717. Back, T., Fogel, D. B., &Michalewicz, Z., (Eds.), 1997. Handbook of Evolutionary Computation.New York, Inst. Phys. and Oxford Univ. Press, 1130 pages. Brest, J., Greiner, S., Mernik, M., &Zumer, V., 2006. Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems, IEEE transactions on evolutionary computation, Vol. 10, No. 6, pp. 646-657. Bongarcon, D.F., &Marechal, A., 1976. A new method for open pit design: Parameterization of the final pit contour, In Proceedings 14th Int. APCOM, pp.573-583. Dagdelen, K., 2007. Open Pit optimization - strategies for improving economics of mining projects through mine planning, in Proc. of Orebody modeling and stochastic mine planning, Spectrum Series Vol. 14, pp.145-148. Deb, K., 2005. A population-based algorithmgenerator for real-parameter optimization, Soft Computing- AFusion of Foundations, Methodologies and Applications, Vol. 9, No. 4, pp.236–253. Denby, B., & Schofield, D., 1994. Open pit design and scheduling by use of genetic algorithm, Transactions of the Ins. of Mining and Metallurgy, vol. 103, pp.A21- A26. Giannini, L. M., Caccetta, L., Kelsey, P., &Carras, S., 1991. PITOPTIM: A new high speed network flow technique for optimum pit design facilitating rapid sensitivity analysis, AusIMM Proc., No. 2, pp.57-62. Hochbaum, D. S.,& Chen, A., 2000. Performance analysis and best implementation of old and new algorithms for the open pit mining problem, Operation Research, 48(6), pp.894-914. 127
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contains 94’311 blocks. In this section the<br />
following assumptions are made:<br />
a) The mine is not processing the ore<br />
blocks in the plant<br />
b) The mine is producing blended ore to the<br />
market<br />
c) There is no limit on the demand for the<br />
product<br />
d) The mine should produce a blended<br />
product with a quality of minimum 65%<br />
of Fe, and 0.15% of P and 0.2% of S in<br />
maximum.<br />
Figure 3. Ore body model of Gol-e-Gohar<br />
iron ore mine number 2<br />
The grade-tonnage curves and curves for<br />
cut-off iron versus average iron, sulfur, and<br />
phosphor is generated for the deposit (Figure<br />
4).<br />
content. Therefore, the constraint on P<br />
content is relaxed for all the blended<br />
products. This graph is used to determine the<br />
cut-off grade of iron in accordance with the<br />
blend requirements. Based on this graph and<br />
the traditional way of selecting ore blocks, a<br />
cutoff grade of 61% of Fe content satisfies<br />
final product requirements. Based on the<br />
determined cutoff grade, 346 blocks were<br />
selected as ore blocks. After recognizing of<br />
ore blocks, the block economic value of<br />
these blocks were assigned to be equal to the<br />
value of final product and the economic<br />
value of other block were assigned as waste<br />
blocks. The economic block model is then<br />
fed into a pit limit optimizer. In this paper,<br />
maximum flow algorithm was used to<br />
optimize the ultimate pit limit (as in Osanloo<br />
et al. 2010). Using the technique, the<br />
optimized pit limit contains 6383 block<br />
which 336 of them are ore blocks.<br />
The aim of this work is to design an<br />
optimized pit-blend limit. To do so, the<br />
procedure described in figure 1 is applied to<br />
the block model of Gol-e-Gohar iron ore<br />
deposit. The mathematical model (equations<br />
2-5) is solved by jDE algorithm, to optimize<br />
the selection of blocks that meets the<br />
blending requirements.<br />
Solving the blend optimization model,<br />
2015 blocks are selected as potential ore<br />
block to be fed into the pit optimizer. The<br />
selected blocks satisfy the requirements of<br />
blended product. Then the economic block<br />
model is constructed and fed into a pit limit<br />
optimizer. Using maximum flow algorithm,<br />
the optimal pit of the mine is determined. On<br />
the final iteration of the procedure, the<br />
optimized pit limit contains 26083 blocks<br />
which 1995 blocks of them are ore blocks.<br />
The ultimate pit limit of the optimized pitblend<br />
limit and the pit determined by<br />
traditional method (Mol and Gillies, 1984) is<br />
shown in figure 5 and 6.<br />
Figure 4. Grade tonnage curves of the<br />
deposit<br />
According to the grade-tonnage curves, all<br />
of the ore blocks satisfy the constraint of P<br />
Figure 5. Perspective of ultimate pit limit<br />
126