2020
DOI: 10.1016/j.geoderma.2019.114129
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3D multifractal characterization of computed tomography images of soils under different tillage management: Linking multifractal parameters to physical properties

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Cited by 15 publications
(11 citation statements)
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“…Another important element is the multifractal singular spectrum [α, f(α)] presenting an upwardly convex parabolic shape, which proves the multifractal behavior of PSDs in these samples. 33,53 This curve is tangent to the internal bisector f(α) = α (see Figure 7), 36 which confirms the accuracy of our calculation. The parameter α 0 is used, where its higher value is regarded as more obvious local agglomeration of pores to reflect the degree of the concentration of PSD.…”
Section: Methodssupporting
confidence: 83%
“…Another important element is the multifractal singular spectrum [α, f(α)] presenting an upwardly convex parabolic shape, which proves the multifractal behavior of PSDs in these samples. 33,53 This curve is tangent to the internal bisector f(α) = α (see Figure 7), 36 which confirms the accuracy of our calculation. The parameter α 0 is used, where its higher value is regarded as more obvious local agglomeration of pores to reflect the degree of the concentration of PSD.…”
Section: Methodssupporting
confidence: 83%
“…In a first approach, we might affirm the existence of multifractality of the pore spaces for all the management practices and secondary forest samples before and after the W-D cycles. This fact is corroborated when the generalized fractal dimension is analyzed: D 0 > D 1 > D 2 ( Table 2 ) [ 23 , 45 , 56 ]. D 0 was reduced by around 4% for F and increased by around 3% for NT ( Table 2 ).…”
Section: Resultsmentioning
confidence: 63%
“…The asymmetry for the right side of the spectrum observed for all the samples indicates low patterns of spatial variability, and here it was associated with low spatial variability of the pore size distribution [ 44 ]. Thus, this investigation showed that for F, MT, and NT, the observed asymmetries could be linked to less spatial variability in the range of pore sizes investigated; while for CT, smaller changes in the spectra indicated small or minor changes in the heterogeneity of the pore size distribution [ 56 ].…”
Section: Discussionmentioning
confidence: 99%
“…(a) Three challenges in studying flow and solute transport in porous media: the heterogeneity (Soto‐Gómez et al, 2020), the multi‐scale nature (Sathaye et al, 2014), and the uncertainty (Cover of International Journal of Uncertainty Quantification); (b) deposition of the contaminants (uranium, the bright white material in the red circle, found at the Hanford site, WA, USA) on the surface of soil particles at the pore‐scale. Adapted from Liu et al (2006)…”
Section: Introductionmentioning
confidence: 99%