Mass-size fractal dimension of primary and aggregated particles and soil profile development

Soil Science

Volumn 173, Issue 2, 2008, Pages 87-95

  Stanchi, Silvia ^a   Bonifacio, Eleonora ^a   Zanini, Ermanno ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

Aggregates; Dispersion; Fragmentation fractal dimension; Primary particles

Indexed keywords

CLAY SOIL; DISPERSION; ENTISOL; FRACTAL ANALYSIS; INCEPTISOL; MASS; MOLLISOL; SIZE DISTRIBUTION; SOIL AGGREGATE; SOIL HORIZON; SOIL PROFILE; SOIL TEXTURE; SOIL TYPE;

EID: 40449134281     PISSN: 0038075X     EISSN: None     Source Type: Journal    
DOI: 10.1097/SS.0b013e31815edf53     Document Type: Article

References (36)

1. Anderson, A. N., A. B. Mc Bratney, and J. W. Crawford. 1998. Applications of fractals to soil studies. Adv. Agron. 63:1-76.
2. Barak, P., C. A. Seybold, and K. Mc Sweeney. 1996. Self-similitude and fractal dimension of sand grains. Soil Sci. Soc. Am. J. 60:72-76.
3. Bartoli, F., R. Philippy, M. Doirisse, S. Niquet, and M. Dubuit. 1991. Structure and self-similarity in silty and sandy soils: The fractal approach. J. Soil Sci. 42:167-185.
4. Bird, N. R. A., and E. M. A. Perrier. 2003. The pore-solid fractal model of soil-density scaling. Eur. J. Soil Sci. 54:467-476.
5. Bittelli, M., G. S. Campbell, and M. Flury. 1999. Characterization of particle-size distribution in soils with a fragmentation model. Soil Sci. Soc. Am. J. 63:782-788.
6. Burt, R. 2004. Soil Survey Laboratory Methods Manual. USDA-NRCS, pp. 34-65.
7. Brakensiek, D. L., and W. J. Rawls. 1992. Comment on fractal processes in soil water retention. Water Resour. Res. 28:601-602.
8. Gee, G. W., and J. W. Bauder. 1986. Particle-size analysis. In: Methods of Soil Analysis. Part IPhysical and mineralogical methods, 2nd ed. A. Klute (ed.). ASA, SSA, Madison, WI, pp. 383-409.
9. Grout, H., A. M. Tarquis, and M. R. Wiesner. 1998. Multifractal analysis of particle size distributions in soil. Environ. Sci. Technol. 32:1176-1182.
10. Guber, A. K., Y. Pachepsky, and E. Levkowsky. 2004. Mass-size scaling in soil aggregates as affected by aggregate water content and soil compaction. Soil Sci. 169:1-12.
11. Guber, A. K., Y. Pachepsky, and E. Levkowsky. 2005. Fractal mass-size scaling of wetting soil aggregates. Ecol. Model.182:317-322.
12. Kozak, E., Y. Pachepsky, S. Sokolowski, Z. Sokolowska, and W. Stepniewski. 1996. A modified number-based method for estimating fragmentation fractal dimensions of soil. Soil Sci. Soc. Am. J. 171:1291-1297.
13. Logsdon, S. D., D. Gimenez, and R. R. Allmaras. 1996. Fractal characterization of aggregate-size distribution: The question of scale-invariance. Soil Sci. Soc. Am. J. 60:1327-1330.
14. Mandelbrot, B. B. 1983. The Fractal Geometry of Nature. Freeman, San Francisco, CA.
15. Mehra, O. P., and M. L. Jackson. 1960. Iron oxide removal from soils and clays by a dithionite-citrate system buffered with sodium bicarbonate. Clays Clay Miner. 7th National Conf. on Clays and Clay Minerals, Washington, DC, pp. 317-327.
16. Millan, H., M. Gonzalez-Posada, M. Aguilar, J. Domimguez, and L. Céspedes. 2003. On the fractal scaling of soil data. Particle-size distributions. Geoderma 117:117-128.
17. Patruno, A., L. Cavazza, and A. Castrignanò. 1997. Granulometria. In: Metodi di analisi fisica del suolo. M. Pagliai (ed.). MIPAF, Roma, Italy, pp. 1-18.
18. Perfect, E., and B. D. Kay. 1991. Fractal theory applied to soil aggregation. Soil Sci. Soc. Am. J. 55:1552-1558.
19. Perfect, E., and B. D. Kay. 1995. Applications of fractals in soil and tillage research: A review. Soil Till. Res. 36:1-20.
20. Perfect, E., V. Rasiah, and B. D. Kay. 1992. Fractal dimensions of soil aggregate-size distributions calculated by number and mass. Soil Sci. Soc. Am. J. 56:1407-1409.
21. Posadas, A. N. D., D. Gimenez, M. Bittelli, M. P. Vaz, and M. Flury. 2001. Multifractal characterization of soil particle-size distributions. Soil Sci. Soc. Am. J. 65:1361-1367.
22. Rasiah, V., B. D. Kay, and E. Perfect. 1993. New mass-based model for estimating fractal dimensions of soil aggregates. Soil Sci. Soc. Am. J. 57:891-895.
23. Richie, J. A. 1963. Earthwork tunnelling and application of soil testing procedure. J. Soil Conserv. N. S. W. 19:111-129.
24. Rieu, M., and G. Sposito. 1991a. Fractal Fragmentation, Soil Porosity, and Soil Water Properties: I. Theory. Soil Sci. Soc. Am. J. 55:1231-1238.
25. Rieu, M., and G. Sposito. 1991b. Fractal Fragmentation, Soil Porosity, and Soil Water Properties: II. Applications. Soil Sci. Soc. Am. J. 55:1239-1244.
26. Salako, F. K., O. Babalola, S. Hauser, and B. T. Kang. 1999. Soil macroaggregate stability under different fallow management systems and cropping intensities in southwestern Nigeria. Geoderma 91:103-123.
27. Schwertmann, U. 1964. Differenzierung der Eisenoxide des Bodens durch Extraktion mit Ammoniumoxalat-Lösung. Z. Pflanzenern. Bodenk. 105:194-202.
28. Singer, M. J., R. J. Southard, D. N. Warrington, and P. Janitzky. 1992. Stability of synthetic sand-clay aggregates after wetting drying cycles. Soil Sci. Soc. Am. J. 56:1843-1848.
29. Soil Survey Staff, 1999. Soil Taxonomy, 2nd ed. USDA, Washington, DC.
30. Stanchi, S., E. Bonifacio, E. Zanini, and Y. Pachepsky. 2006. Presence and prediction of fractal behaviour in particle-size distributions as affected by the sample pretreatment and soil properties. Soil Sci. 171:283-292.
31. Su, Y. Z., H. L. Zhao, W. Z. Zhao, and T. H. Zhang. 2004. Fractal features of soil particle size distribution and the implication for indicating desertification. Geoderma 122:43-49.
32. Taguas, F. J., M. A. Martin, and E. Perfect. 1999. Simulation and testing of self-similar structures for soil particle-size distributions using iterated functions systems. Geoderma 88:191-203.
33. Tyler, S. W., and S. W. Wheatcraft. 1989. Application of fractal mathematics to soil water retention estimation. Soil Sci. Soc. Am. J. 53:987-996.
34. Tyler, S. W., and S. W. Wheatcraft. 1992. Fractal scaling of soil particle-size 348 distributions: Analysis and limitations. Soil Sci. Soc. Am. J. 56:362-369.
35. Wang, X., M. Li, S. Liu, and G. Liu. 2006. Fractal characteristics of soils under different land-use patterns in the arid and semiarid regions of the Tibetan Plateau, China. Geoderma 134:56-61.
36. Zanini, E., E. Bonifacio, N. Alliani, V. Boero. 1995. Genesi e caratteri chimici, mineralogici e strutturali dei suoli marginali dell'Appennino Lucano. Miner. Petro. Acta 38:177-188.