Modeling of bubble surface area flux in an industrial rougher column using artificial neural network and statistical techniques

Abstract Previous studies in mechanical and column flotation cells have shown that bubble surface area flux (S b ) is an appropriate indicator of gas dispersion in a flotation cell which has a relatively strong correlation with flotation rate constant. In the present investigation, based on extensive tests conducted in an industrial Metso Minerals CISA flotation column (4 m in diameter and 12 m in height) in a rougher circuit, S b as a function of the most significant operating variables which affect gas dispersion in a flotation column (i.e. superficial gas velocity , slurry density (solids%) and frother dosage/type ) was modeled using artificial neural network (ANN) and statistical (non-linear regression) techniques. The models were developed taking into consideration a data set consisting of 82 experimental tests conducted in an industrial rougher column (at a copper concentrator in Iran) operating under a variety of experimental conditions. This paper outlines the development of the models and validation using a number of randomly selected datasets. Limitations of the present models are discussed and comments and recommendations on further investigations are given.

[1]  M. A. Reuter,et al.  Use of simulated annealing and neural nets for the eco-techno-economic synthesis of mineral and metallurgical flowsheets , 1996 .

[2]  H. White A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

[3]  Emmanuel Manlapig,et al.  The JKMRC high bubble surface area flux flotation cell , 1999 .

[4]  Mohammad Bagher Menhaj,et al.  Training feedforward networks with the Marquardt algorithm , 1994, IEEE Trans. Neural Networks.

[5]  James A. Finch,et al.  Bubble size estimation in a bubble swarm , 1988 .

[6]  S. Chehreh Chelgani,et al.  Prediction of microbial desulfurization of coal using artificial neural networks , 2007 .

[7]  Veerendra Singh,et al.  Application of image processing and radial basis neural network techniques for ore sorting and ore classification , 2005 .

[8]  J. Franzidis,et al.  Studies on impeller type, impeller speed and air flow rate in an industrial scale flotation cell. Part 4: Effect of bubble surface area flux on flotation performance☆ , 1997 .

[9]  E. C. Çilek,et al.  Effects of hydrodynamic parameters on entrainment and flotation performance , 2003 .

[10]  Chris Aldrich,et al.  Dynamic modelling of competitive elution of activated carbon in columns using neural networks , 1995 .

[11]  Jacek M. Zurada,et al.  Introduction to artificial neural systems , 1992 .

[12]  Christopher M. Bishop,et al.  Neural networks for pattern recognition , 1995 .

[13]  David J. C. MacKay,et al.  Bayesian Interpolation , 1992, Neural Computation.

[14]  Manoochehr Ghiassi,et al.  A dynamic artificial neural network model for forecasting nonlinear processes , 2009, Comput. Ind. Eng..

[15]  R. A. Bearman,et al.  Application of fuzzy logic and neural network technologies in cone crusher control , 1995 .

[16]  James A. Finch,et al.  Technical note reconciliation of bubble size estimation methods using drift flux analysis , 1994 .

[17]  Mohamed M. Mostafa,et al.  Modeling the competitive market efficiency of Egyptian companies: A probabilistic neural network analysis , 2009, Expert Syst. Appl..

[18]  Chris Aldrich,et al.  Neural net analysis of the liberation of gold using diagnostic leaching data , 1996 .

[19]  James A. Finch,et al.  Estimation of Bubble Diameter in Flotation Columns from Drift Flux Analysis , 1988 .

[20]  Etienne Barnard,et al.  Neural nets for the simulation of mineral processing operations: Part I. Theoretical principles , 1993 .

[21]  Lasse Rosendahl,et al.  Methods to improve prediction performance of ANN models , 2003, Simul. Model. Pract. Theory.

[22]  S. A. Uribe,et al.  A statistical model for the concentrate water in flotation columns , 1999 .

[23]  Varghese S. Jacob,et al.  Adaptive data reduction for large-scale transaction data , 2008, Eur. J. Oper. Res..

[24]  James A. Finch,et al.  Gas dispersion measurements in flotation cells , 2007 .

[25]  Vincent S. Tseng,et al.  Effective temporal data classification by integrating sequential pattern mining and probabilistic induction , 2009, Expert Syst. Appl..

[26]  E. C. Cilek,et al.  A statistical model for gangue entrainment into froths in flotation of sulphide ores , 2001 .

[27]  H. Li,et al.  REVIEWING THE EXPERIMENTAL PROCEDURE TO DETERMINE THE CARRYING CAPACITY IN FLOTATION COLUMNS , 2004 .

[28]  Shih-Cheng Horng,et al.  An ordinal optimization theory-based algorithm for a class of simulation optimization problems and application , 2009, Expert Syst. Appl..

[29]  G. Wallis One Dimensional Two-Phase Flow , 1969 .

[30]  Martin T. Hagan,et al.  Gauss-Newton approximation to Bayesian learning , 1997, Proceedings of International Conference on Neural Networks (ICNN'97).

[31]  Yang Wang,et al.  Cost-sensitive boosting for classification of imbalanced data , 2007, Pattern Recognit..

[32]  Juan Yianatos,et al.  Hydrodynamic and kinetic characterization of industrial columns in rougher circuit , 2009 .

[33]  Kyoung-jae Kim Artificial neural networks with evolutionary instance selection for financial forecasting , 2006, Expert Syst. Appl..

[34]  Emmanuel Manlapig,et al.  The empirical prediction of bubble surface area flux in mechanical flotation cells from cell design and operating data , 1999 .

[35]  Laurene V. Fausett,et al.  Fundamentals Of Neural Networks , 1993 .

[36]  T. Napier-Munn,et al.  Studies on impeller type, impeller speed and air flow rate in an industrial scale flotation cell. Part 5: Validation of k-Sb relationship and effect of froth depth , 1998 .