Present trends in statistical analysis of the flotation process

Autor: L. A. Barskii, Yu. B. Rubinshtein, I. N. Plaksin
Rok vydání: 1968
Předmět:
Zdroj: Soviet Mining Science. 4:145-153
ISSN: 1573-8736
0038-5581
DOI: 10.1007/bf02502090
Popis: 1. The main applications of mathematical statistics to flotation are as follows: development of a standard method of investigation for concentratability, with allowance for the reliability of the results and with the minimum number of experiments; and construction of a mathematical model for control of industrial flotation. 2. In the statistical analysis importance attaches to the normal distribution of the process parameters which is rarely obeyed when normalized values are used; it is shown that the normal distribution can be replaced by the log-normal distribution. 3. We carried out dispersion and correlation analysis of 25 criteria of the efficiency of the flotation process from the viewpoint of requirements for optimization parameters. As sensitivity criterion we adopted the coefficient of variation of the statistical sample. The statistical efficiency was assessed by means of Fisher's criterion (the ratio of the dispersion due to variation of the process parameters to the dispersion of reproducibility). 4. The most universal optimization parameter is found by calculating the iterated strength, i. e., the sum of the coefficients of correlation, on the basis of the “sequential search” method in curve theory. Optimization of two parameters is possible by selecting variants with a computer. We give an example of the two-parameter optimization of flotation of molybdenum ore. 5. In investigating the flotation of sphalerite from complex ore, using the method of the random balance, 10 factors and 45 interaction effects, on the basis of 32 experiments, we picked out the 18 effects which have the greatest influence on the extraction of zinc. 6. By means of a second-order factorial plan we constructed an empirical equation for the flotation kinetics in the form of a first-order differential equation (that of K. F. Beloglazov), of which the constant is a function of a second-degree polynomial in the process parameters. 7. The flotation process can be controlled by means of models constructed from the kinetic equations with variable coefficients depending on the basic factors of the flotation process and determined statistically.
Databáze: OpenAIRE
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