EurekaMag.com logo
+ Site Statistics
References:
52,725,316
Abstracts:
28,411,598
+ Search Articles
+ Subscribe to Site Feeds
EurekaMag Most Shared ContentMost Shared
EurekaMag PDF Full Text ContentPDF Full Text
+ PDF Full Text
Request PDF Full TextRequest PDF Full Text
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter
Follow on Google+Follow on Google+
Follow on LinkedInFollow on LinkedIn

+ Translate

A modified number-based method for estimating fragmentation fractal dimensions of soils


Soil Science Society of America Journal 60(5): 1291-1297
A modified number-based method for estimating fragmentation fractal dimensions of soils
Fractal theory has been applied to the characterization of particle- and aggregate-size distributions in soils. We used a number-based method for estimating fragmentation fractal dimensions from these distributions. This method has several inconsistencies. The objectives of our study were to: (i) propose a modified number-based method, (ii) evaluate the modified method using published data on particle- and aggregate-size distributions, and (iii) apply the modified method to a large particle-size distribution data base to analyze the validity of fractal scaling. Assuming scale-invariant fragmentation to be a valid model of particle-size distribution within size ranges of fractions, we derived a formula expressing the characteristic grain size as a function of the fractal dimension and limits of the grain size range. Parameters of Turcotte's fractal fragmentation model were found by minimizing the sum of squares of differences between measured and calculated masses of grain fractions. Comparison between original and modified number-based methods showed that the modified method generally resulted in lower fragmentation fractal dimensions than the original method. The modified method was applied to a data set of particle-size distributions of 2600 soil samples. In 80% of samples, the fractal scaling was not applicable across the whole range of particle size between 0.002 and I mm, since errors of the fractal fragmentation model were statistically significantly larger than measurement errors, and estimates of the fractal dimension were larger than 3. It appears that models more sophisticated than scale-invariant fragmentation are required to simulate soil particle-size distributions.

Accession: 002738734

DOI: 10.2136/sssaj1996.03615995006000050002x

Download PDF Full Text: A modified number-based method for estimating fragmentation fractal dimensions of soils



Related references

On the characteristic aggregate size for estimating fractal dimensions of soils. Soil Science Society of America Journal 65(3): 6-7, 2001

Comments on on the characteristic aggregate size for estimating fractal dimensions of soils. Soil Science Society of America Journal 65(3): 957, 2001

On the characteristic aggregate size for estimating fractal dimensions of soils; discussions. Soil Science Society of America Journal 65(3): 956-957, 2001

On the characteristic aggregate size for estimating fractal dimensions of soils; discussions and replies. Soil Science Society of America Journal 65(3): 957-960, 2001

New mass-based model for estimating fractal dimensions of soil aggregates. Soil Science Society of America Journal 57(4): 891-895, 1993

A quick method for estimating the fractal dimensions of macromolecular coils of biopolymers in solution. Biofizika 46(2): 216-219, March-April, 2001

Mass, surface, and fragmentation fractal dimensions of soil fragments produced by tillage. Geoderma 86(3-4): 261-278, 1998

A new method of estimating fractal dimension in fractal model of minerogenetic prediction. Journal of Changchun College of Geology = Changchun Dizhi Xueyuan Xuebao 27(1): 86-91, 1997

A revisitation of the triangular prism surface area method for estimating the fractal dimension of fractal surfaces. Annali di Geofisica 40(4): 811-821, 1997

Intersection of two fractal objects: Useful method of estimating the fractal dimension. Physical Review. B, Condensed Matter 35(16): 8898-8900, 1987