Granulometric statistics are widely used to quantify differences in results of analysis in different sedimentation conditions. The widespread use of granulomeric statistics is due to the fact that their estimates are very stable compared to the errors of experimental results. The use of statistics in logarithmic scales is associated with the assumption of the lognormality of granulometric distribution. In this work in image analysis, transformations of observation scales were carried out according to the ȹ-scale proposed by Krumbein. The components of the φ-scale are logarithms ȹ of size d at base 2, taken with the reverse sigh. The φ-scale is used to convert the initial observation scales into uniform ones, which provides the convenience of graphical representation of classification results, the simplicity of determining granulometric statistics. A comparative analysis of the indicators of statistical criteria (asymmetry and kurtosis) obtained by image analysis (digital petrography) and facies analysis during the reconstruction of paleogeographic settings was carried out. Two dynamogenetic diagrams were used: the classical diagram of G.F. Rozhkov and a diagram of G.F. Rozhkov, modified by K.K. Gostintsev. The latter is more detailed, with intermediate facies of sedimentation conditions added. The diagrams show good convergence of the results. The obtained statistical criteria for the granulometric composition of rocks by digital petrography, used in the construction of the G.F. Rozhkov dynamogenetic diagram, showed high efficiency in determining paleofacial and microfacial sedimentation environments and are recommended for the most effective facies diagnostics when used in conjunction with other lithological, petrophysical and geochemical methods of rock research.
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