Table 2 Definition and Structural Significance of Microstructural Parameter Images.
From: Macro–micro correlation analysis on the loess from Ili River Valley subjected to freeze–thaw cycles
Serial number | Microstructural parameters | Definition | Measurement/calculation methods | Notes |
|---|---|---|---|---|
1 | Maximum particle size (µm) | Longest axis of the particle | Direct measurement | — |
2 | Particle size fractal dimension | Distribution of particles | \({{log}}{{P}}{=}\frac{{D}}{{2}}{{lg}}{A+C}\) | P is the circumference of the particles; D is the particle size fractal dimension; A is the area of the particles; C is the fitting constant |
3 | Particle abundance | Shape of the particles | \({{R}}{=}\frac{{{P}}^{2}}{{4\pi}{{A}}}\) | R is particle abundance; P is the measurement circumference of the particles; A is the area of the particles |
4 | Particle orientation fractal dimension | Degree of orientation of particles | \({{H}}_{{m}}{=-}\sum_{{i=1}}^{{n}}\frac{{mi}}{{{M}}}\times{{log}}_{{n}}\frac{{{m}}_{{i}}}{{M}}\) | Hm is particle orientation fractal dimension; Divide the range from 0 to 180 degrees into n positions, with each position having an angular range of α = 180°/n. This study divides it into 18 regions, making α equal to 10°; mi is particle number in the particle long axis within the i th region; M is total number of particles |
5 | Maximum pore size (µm) | Longest axis of the pore | Direct measurement | — |
6 | Pore size fractal dimension | Distribution of pores | \({{log}}{{P}}{=}\frac{{{D}}_{{pf}}}{2}{{lg}}{S+C}\) | P is the pore size; S is the area of the pore; C is the fitting constant |
7 | Porosity (%) | Number of pores | PAR = \(\frac{{{A}}_{{pore}}}{{{A}}_{{Total}}}\times{100}\) | PAR is the area ratio of the pore(%); Apore is the area of the pore; ATotal is total area of the image |
8 | Pore orientation fractal dimension | Planar distribution of pores | \({{log}}{{P}}{=}\frac{{D}}{{2}}{{lg}}{A+C}\) | P is the circumference of the particles; D is the fractal dimension of particle size; A is the area of the particles; C is the fitting constant |
