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A 3D brute-force algorithm for the optimum cutting pattern of dimension stone quarries

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  • Elkarmoty, Mohamed
  • Bonduà, Stefano
  • Bruno, Roberto

Abstract

This paper presents a 3D algorithm for finding the optimum cutting direction in ornamental stone quarries aiming at maximizing the recovery ratio of blocks through tackling the fracture problem that causes material and economic loses. The presented algorithm is based on 3D deterministic fracture modeling or mapping data and considers new parameters: i) displacement of the cutting grid; (ii) material lost by quarrying; (iii) irregularity of the tested area; (iv) and subdivision of large quarrying area. The algorithm searches for the optimum cutting direction and displacement of the cutting grid that maximizes the number of non-fractured blocks. The algorithm was coded in a software package named BlockCutOpt. This paper presents BlockCutOpt results applied in two case studies of different characteristics. The first case study was a limestone bench where fractures were modeled deterministically using Ground Penetrating Radar (GPR) survey. The second case study was in a very large area of granite deposit where the regional fractures were mapped using the aerial photogrammetry method (literature data). BlockCutOpt was found a fast tool for finding the optimum cutting pattern in the presented case studies. The results showed that the optimum cutting direction of blocks can vertically (within different strata) and horizontally (within very large scale area) vary, giving geometric information about the cutting grid design that optimizes the number of non-fractured blocks.

Suggested Citation

  • Elkarmoty, Mohamed & Bonduà, Stefano & Bruno, Roberto, 2020. "A 3D brute-force algorithm for the optimum cutting pattern of dimension stone quarries," Resources Policy, Elsevier, vol. 68(C).
    • Handle: RePEc:eee:jrpoli:v:68:y:2020:i:c:s0301420720303603
    DOI: 10.1016/j.resourpol.2020.101761
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    References listed on IDEAS

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    1. Careddu, Nicola & Siotto, Giampaolo & Siotto, Riccardo & Tilocca, Caterina, 2013. "From landfill to water, land and life: The creation of the Centre for stone materials aimed at secondary processing," Resources Policy, Elsevier, vol. 38(3), pages 258-265.
    2. Careddu, Nicola, 2019. "Dimension stones in the circular economy world," Resources Policy, Elsevier, vol. 60(C), pages 243-245.
    3. Carvalho, J. & Lopes, C. & Mateus, A. & Martins, L. & Goulão, M., 2018. "Planning the future exploitation of ornamental stones in Portugal using a weighed multi-dimensional approach," Resources Policy, Elsevier, vol. 59(C), pages 298-317.
    4. Macedo, Dione & Mori Junior, Renzo & Pimentel Mizusaki, Ana Maria, 2017. "Sustainability strategies for dimension stones industry based on Northwest region of Espírito Santo State, Brazil," Resources Policy, Elsevier, vol. 52(C), pages 207-216.
    5. Elkarmoty, Mohamed & Bonduà, Stefano & Bruno, Roberto, 2020. "A 3D optimization algorithm for sustainable cutting of slabs from ornamental stone blocks," Resources Policy, Elsevier, vol. 65(C).
    6. Careddu, Nicola & Di Capua, Giuseppe & Siotto, Giampaolo, 2019. "Dimension stone industry should meet the fundamental values of geoethics," Resources Policy, Elsevier, vol. 63(C), pages 1-1.
    7. Careddu, Nicola & Siotto, Giampaolo, 2011. "Promoting ecological sustainable planning for natural stone quarrying. The case of the Orosei Marble Producing Area in Eastern Sardinia," Resources Policy, Elsevier, vol. 36(4), pages 304-314.
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    1. Şirin, Ece & Bonduà, Stefano & Elkarmoty, Mohamed, 2021. "Environmental and economic optimization for block cutting of dimension stones in a limestone quarry," Resources Policy, Elsevier, vol. 74(C).

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