Choice of the method of calculation of the average grade between two sections
Abstract
In the practice of calculation of reserves the rule has taken root that if there is a correlation between the content of a useful component and some other parameter, the average content should be determined by the weighted average method, and if there is no correlation - by the arithmetic mean method. This point of view was first expressed by N. V. Volodomonov and later supported by P. L. Kallistov, V. I. Smirnov, V. M. Kreuter, V. I. Kuzmin and others. However, N. F. Zalata and A. A. Petrov strongly argue that the weighted average method is erroneous and recommend that the average content be determined only by the arithmetic mean method. In the last paper L. F. Zalata connects the method of determining the average content with the type of asymmetry of the distribution of the useful component. V. I. Borzunov believes that the weighted average method is applicable only in the case of changes in content along a hyperbolic curve. In other cases he recommends to apply the method of arithmetic mean. V. A. Petrov proves that the weighted average method of determining the average content in the predominant number of cases gives a more satisfactory result than the arithmetic mean method. Experimental studies carried out on models of ore bodies by I. A. Zimin and E. M. Teplyakov, have shown that in some cases the weighted average method is more justified, and in other cases - the arithmetic mean method is. ...
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References
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