Abstract
This paper dealt with the development of a two-dimensional (2D) mathematical model for column leaching and confirmed the important simulation parameters through experiment. The unsaturated state of the variably saturated flow column and the solute transport of copper ions were studied during leaching. The fluid flow problem was handled using the Richards equation on the premise of an ambient pressure column air, where the van Genuchten formulas were applied to define the nonlinear relationships of pressure head with the retention and permeability properties. The ore column permeability test gave a varied hydraulic conductivity, which was analyzed in the model. In the solute transport problem, the copper ion concentration was solved using the advection-diffusion-reaction equation whose reaction term was determined by the joint analysis of experimental copper leaching rate and the shrinking core model. Particle- and column-scale leaching tests were carried out to illustrate the difference and connection of copper extraction in both processes. This fluid flow and solute transport coupled model was determined through the finite element method using the numerical simulation software, COMSOL Multiphysics.
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J. Petersen, H. Watling, D. Dixon, P. Franzmann, J. Plumb, J. Johnson, S. Harrison, and G. Hansford, Progress on the development of comprehensive understanding and a model of copper heap bioleaching: The Amira P768 Project, [in] J. Menacho and J. Casas eds. III International Copper Hydrometallurgy Workshop, Santiago, Chile, 2005, p. 333.
Y. Rodríguez, A. Ballester, M.L. Blázquez, F. González, and J.A. Muñoz, Study of bacterial attachment during the bioleaching of pyrite, chalcopyrite, and sphalerite, Geomicrobiol. J., 20(2003), p. 131.
T. Rohwerder, T. Gehrke, K. Kinzler, and W. Sand, Bioleaching review part A: Progress in bioleaching: fundamentals and mechanisms of bacterial metal sulfide oxidation, Appl. Microbiol. Biotechnol., 63(2003), p. 239.
H. Naderi, M. Abdollahy, N. Mostoufi, M.J. Koleini, S.A. Shojaosadati, and Z. Manafi, Kinetics of chemical leaching of chalcopyrite from low grade copper ore: behavior of different size fractions, Int. J. Miner. Metall. Mater., 18(2011), No. 6, p. 638.
A.K. Halinen, N. Rahunen, A.H. Kaksonen, and J.A. Puhakka, Heap bioleaching of a complex sulfide ore: Part I: Effect of pH on metal extraction and microbial composition in pH controlled columns, Hydrometallurgy, 98(2009), p. 92.
E. Darezereshki, M. Schaffie, M. Lotfalian, S.A. Seiedbaghery, and M. Ranjbar, Use of mesophilic and thermophilic bacteria for the improvement of copper extraction from a low-grade ore, Int. J. Miner. Metall. Mater., 18(2011), No. 2, p. 138.
E. Cariaga, F. Concha, and M. Sepúlveda, Flow through porous media with applications to heap leaching of copper ores, Chem. Eng. J., 111(2005), p. 151.
D. McBride, M. Cross, N. Croft, C. Bennett, and J. Gebhardt, Computational modelling of variably saturated flow in porous media with complex three-dimensional geometries, Int. J. Numer. Methods Fluids, 50(2006), p. 1085.
A. Fick, On liquid diffusion, Philos. Mag. J. Sci., 10(1855), p. 30.
Levenspiel and Octave, Chemical Reaction Engineering, 2nd Ed., John Wiley & Sons, Inc., New York, 1972, p. 361.
M.T. van Genuchten, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44(1980), p. 892.
D. McBride, M. Cross, and J.E. Gebhardt, Heap leach modeling employing CFD technology: a ‘process’ heap model, Miner. Eng., 33(2012), p. 72.
C.R. Bennett, D. McBride, M. Cross, and J.E. Gebhardt, A comprehensive model for copper sulphide heap leaching: Part 1. Basic formulation and validation through column test simulation, Hydrometallurgy, 127–128(2012), p. 150.
N. Ogbonna, J. Petersen, and H. Laurie, An agglomerate scale model for the heap bioleaching of chalcocite, J. S. Afr. Inst. Min. Metall., 106(2006), p. 433.
M. Nativ, S. Goldstein, and G. Schmuckler, Kinetics of ion-exchange processes accompanied by chemical reactions, J. Inorg. Nucl. Chem., 37(1975), p. 1951.
X.X. Miao, J.Z. Liu, and A.X. Wu, Experimental study on copper leaching by square column and its numerical analysis, Min. Metall. Eng., 32(2012), p. 74.
M. Sidborn, J. Casas, J. Martínez, and L. Moreno, Two-dimensional dynamic model of a copper sulphide ore bed, Hydrometallurgy, 71(2003), p. 67.
J. Bear, Hydraulics of Groundwater, McGraw-Hill Inc., New York, 1979, p. 231.
M.J. Leahy, M.R. Davidson, and M.P. Schwarz, A two-dimensional CFD model for heap bioleaching of chalcocite, ANZIAM J., 46(2005), p. C439.
K.B. Bischoff, Accuracy of the pseudo steady state approximation for moving boundary diffusion problems, Chem. Eng. Sci., 18(1963), p. 711.
K.C. Liddell, Shrinking core models in hydrometallurgy: what students are not being told about the pseudo-steady approximation, Hydrometallurgy, 79(2005), p. 62.
H.M. Lizama, M.J. Fairweather, Z. Dai, and T.D. Allegretto, How does bioleaching start? Hydrometallurgy, 69(2003), p. 109.
D.L. Decker and S.W. Tyler, Evaluation of flow and solute transport parameters for heap leach recovery materials, J. Environ. Qual., 28(1998), p. 543.
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Miao, Xx., Wu, Ax., Yang, Bh. et al. Unsaturated flow and solute transport in a porous column using spherical ore particles. Int J Miner Metall Mater 21, 113–121 (2014). https://doi.org/10.1007/s12613-014-0873-1
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DOI: https://doi.org/10.1007/s12613-014-0873-1