Artificial neural networks for optimization of gold-bearing slime smelting
Introduction
In the gold manufactory industry, pyrometallurgy (Marsden & House, 2006) is commonly used to process gold-bearing slime or gold slime for short. In this process, appropriate fluxing agents (i.e. slag compositions) are added at high temperature into the smelting furnace, which results in separating precious metals (gold and sliver) from oxides and gangue with the latter go into the remains called slag. In this way, gold–silver alloys are obtained by pyrometallurgy. In the smelting process, slag compositions essentially determine the amounts of gold left in slag, hence, the recovery of gold. To maximum the recovery of gold, it is of great importance to optimize the slag composition so as to minimise the gold content in slag. In fact, research outcomes on determining ‘best’ slag compositions have been reported (Yuan, Yao, Qiu, & Li, 1995) based on the nonlinear regression technique. However, smelting gold slime is a complicated process which involves chemical reactions of multi-phases. Therefore, it is usually hard to describe the relationship between slag compositions and gold content in slag explicitly. The application of nonlinear regression method requires that some presumptions be made about the form of distributions of data or the functional relations among the parameters concerned. Therefore, human errors are likely introduced to the problem. It is the above difficulty that has motivated us to search for a new method.
In the last two decades, artificial neural network (ANN) has revealed its huge potential in many areas of science and engineering, with the rapid development in its learning algorithms. Its exceptional function of self-organising, self-study, fault tolerance and high robustness has paved the way for its wide applications such as pattern recognition, pattern classification, tendency analysis, prediction and nonlinear functions. The neural network has also proven to be a powerful tool in many areas including industrial processes (Schlang, Lang, Poppe, Runkler, & Weinzierl, 2001), prediction of materials properties such as steel (Bahrami et al., 2005, Capdevila et al., 2006, Guo and Sha, 2004), etc. In addition, there are many other reports that the neural network approach has been used in material science based research as discussed by Sha and Edwards (2007). Artificial neural networks are now well established, and prominent in the literature. However, its application to pyrometallurgy industries has not been examined thoroughly.
As such, the ANN approach is adopted in this paper as the substitute for nonlinear regression to identify the optimum slag compositions for the process of gold recovery in pyrometallurgy. We has constructed a neural network model for estimating gold content in slag for the ternary system B2O3–SiO2–Na2O in our previous studies (Liu, Yuan, & Liao, 2009), and aim at developing a algorithm by which the neural network model can be used to predict the optimum slag compositions in this study. For the continuity of this paper, we will describe the model briefly in Section 2, following which, in Section 3, the algorithm for optimization of slag compositions will be discussed.
Section snippets
The neural network model
As mentioned above, an artificial neural network model was developed for estimating or predicting gold content in slag in pyrometallurgy. As known, artificial neural network is a network with nodes or neurons analogous to the biological neurons. The nodes are interconnected to the weighted links and organised in layers. The performance of a neural network depends mainly on the weights of its connections. The knowledge is represented and stored by the weights (strength) of the connections
Optimizing flux composition using the neural network
In the section above, we have described the established neural network, which is capable of calculating the gold contents in slag for the pyrometallurgical experiments. Because the trained network has already ‘stored’ the nonlinear relationships between slag compositions and gold content in slag, we can now adopt an optimization procedure, which determines the optimum slag compounding that minimises the gold content in slag. The problem can be interpreted mathematically as the follows:
Given V = {V
Conclusions
We use artificial neural networks to optimize the slag compositions in pyrometallurgical processes of gold slime. (i) The paper has demonstrated that artificial neural network can be used to determine the relationships between slag compositions and gold content in slag. Compared with the traditional regression method, it makes no functional assumptions on the relationships, hence, eliminates the errors brought in by Man. (ii) Further, the algorithm for optimizing the slag compositions in the
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