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GeoDict User Guide 2025

Report

Under the Report tab, the Characteristic Diameters D10, D50, and D90 are shown. These are the diameters such that 10%, 50%, or 90% of all solids have smaller diameter than the corresponding value. In this example, the D10 value of 8.55 µm means that 10% of all solids have a smaller diameter than 8.55 µm. The D50 value of 18.03 µm means that 50% of all solids have a diameter smaller than 18.03 µm, and the D90 value of 19.71 µm means that 90% of all solids have a diameter smaller than 19.71 µm. The discretization error is less than 1 voxel, which means for the presented example, that the D10 is 8.55 µm ± 1.0 µm.

MatDict_MaterialCharacterization_Granulometry_Results

Below the characteristic diameters, the Geometric solid size distribution table contains Minimum and Maximum Diameters, Volume Fraction, Cumulative Volume Fraction, the Solid Volume, and the Differential Solid Volume Distribution for every bin. Also, at the bottom of the Report tab, the total solid volume percentage of the structure is shown.

The Volume Fraction of the solid voxels in each bin and the Cumulative Volume Fraction (starting with the smallest solid diameters) based on the total solid volume of the structure are shown. For each bin, the Solid Volume in m3 is computed as the summarized volume of the voxels that belong to this bin.

The Differential Solid Volume for each bin is computed, where both the common logarithm () and the natural logarithm () are shown. The differential solid volume distribution is then computed as:

(38) Differential Solid Volume

with the solid diameter of the -th bin, the cumulative volume fractions, and the mass of the solids. The latter is computed using the densities of the constituent materials of the sample entered in the Material Density tab. This normalization ensures that the value of the differential solid volume is independent of the domain size.

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