Calculation of fundamental sampling error

In the theory of sampling, special emphasis is laid on the formula for the fundamental sampling error, which connects the error of a certain sample with the properties of sampled rock mass. In the meanwhile, the rock mass properties are described with the coefficients of variation and using other formulas which are connected with FSE in a yet unknown way. Incorporation of properties of samples and properties of sampled rock mass produces a formula which integrates particle dispersion and number of particles in a bulk sample, as well as dispersion and number of point samples. The complete formula shows that FSE is generated by particle dispersion and point sample dispersion . The formula that only takes into account properties of particles finds the minimum possible error. An actual error is much higher because of the influence of the point sample dispersion. From complete formula (8), the formula is obtained for the minimum mass of a sample with regard to the influence of the point sample dispersion on FSE. The minimum mass found from formulas (12) or (13) is the least of possible masses, and is the reference. The minimum mass essentially grows as against the reference after the first operation of sample preparation for the analysis. The mass can be reduced via size degradation of a sample material. The minimum mass is decreased in preliminary grinding of samples. The sizes of the samples during sampling in intact rock mass are unchanged. The samples during sampling are not subjected to grinding.

Keywords: сomplete formula for fundamental sampling error, minimum mass of sample, particle dispersion, coefficient of variation, point samples.
For citation:

Kozin V. Z., Komlev A. S. Calculation of fundamental sampling error. MIAB. Mining Inf. Anal. Bull. 2021;(11-1):265—275. [In Russ]. DOI: 10.25018/0236_1493_2021_111_0_265.

Issue number: 11
Year: 2021
Page number: 265-275
ISBN: 0236-1493
UDK: 622.7.09:620.113
DOI: 10.25018/0236_1493_2021_111_0_265
Article receipt date: 25.05.2021
Date of review receipt: 21.06.2021
Date of the editorial board′s decision on the article′s publishing: 10.10.2021
About authors:

Kozin V. Z.1, Dr. Sci. (Eng.), Professor, Head of the Mineral Processing Department, Dean of the Mining and Mechanics Faculty, e-mail:;
Komlev A. S.1, Cand. Sci. (Eng.), Senior Researcher;
1 Ural State Mining University, Еkaterinburg, Russia.


For contacts:

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