Open AccessMethodological Aspects of Fractal Dimension Estimation on the Basis of Particle Size Distribution
Author(s) -
Bieganowski Andrzej,
Chojecki Tymoteusz,
Ryżak Magdalena,
Sochan Agata,
Lamorski Krzysztof
Publication year - 2013
Publication title -
vadose zone journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.036
H-Index - 81
ISSN - 1539-1663
DOI - 10.2136/vzj2012.0064
Subject(s) - fractal dimension , fractal , particle size distribution , dimension (graph theory) , basis (linear algebra) , sedimentation , statistical physics , mathematics , statistics , fractal dimension on networks , distribution (mathematics) , particle size , particle (ecology) , mineralogy , fractal analysis , physics , geology , mathematical analysis , geometry , combinatorics , geomorphology , paleontology , oceanography , sediment
Analysisof particle size distribution (PSD) is one of the methods used for calculating fractal dimensions. The PSD of soils has been determined by sedimentation methods for many years. Newer laser diffractometry PSD measurement techniques were developed during the past few decades. Whereas sedimentation methods can differentiate between a few (usually eight) particle sizes, laser diffraction methods produce many more fractions (tens or even several hundred). The aim of this paper is to answer the question of whether or not the number of size fractions and intervals between them determine the value of the fractal dimension when it is calculated on the basis of PSD. The conclusion is that the number of fractions and the way in which they are divided does affect the calculated fractal dimension, and that therefore the calculation procedure should be standardized.