Delesse principle and statistical fractal sets: 2. Unified Fractal Model for soil porosity

Soil and Tillage Research

Volumn 52, Issue 3-4, 1999, Pages 247-257

  Oleschko, Klaudia ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Areal; Dimensional Equivalents; Linear; Volumetric porosity

Indexed keywords

FRACTAL ANALYSIS; MODELING; POROSITY; SOIL PROPERTY;

EID: 0032778547     PISSN: 01671987     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-1987(99)00085-9     Document Type: Article

References (21)

1. Anderson A.N., McBratney A.B., FitzPatric E.A. Soil mass, surface, and spectral fractal dimensions estimated from thin section photographs. Soil Sci. Soc. Am. J. 60:1996;962-969.
2. Anderson A.N., McBratney A.B., Crawford J.W. Applications of fractals to soil studies. Adv. Agron. 63:1998;2-75.
3. Brasher, B.R., Franzmeier, D.P., Valassis, V.T., Davidson, S.E., 1966. Use of saran resin to coat natural soil clod for bulk density and water retention measurement. Soil Science, USA, 101(2) 108.
4. Brown S.R. A note on the description of surface roughness using fractal dimension. Geophys. Res. Lett. 14(11):1987;1095-1098.
5. Crawford J.W., Sleeman B.D., Young I.M. On the relation between number-size distributions and the fractal dimension of aggregates. J. Soil Sci. 44:1993;555-565.
6. Dexter A.R. Internal structure of tilled soil. Soil Sci. 27:1976;267-278.
7. Falconer, K., 1990. Fractal Geometry: Mathematical Foundations and Applications, 288 pp.
8. Jury, W.A., Gardner, W.R., Gardner, W.H., 1991. Soil Physics. Wiley, New York, p. 29.
9. Korvin, G., 1992. Fractal Models in the Earth Science. Elsevier, Amsterdam, 395 pp.
10. Mandelbrot, B.B., 1983. The Fractal Geometry of Nature. W.H. Freeman, San Francisco, CA, 488 pp.
11. Murphy, C.P., 1986. Thin Section Preparation of Soils and Sediments. AB, Academic Publishers, UK, 149 pp.
12. Oleschko K., Fuentes C., Brambila F., Alvarez R. Linear fractal analysis of three mexican soils in different management systems. Soil Technol. 10:1997;207-223.
13. Oleschko K. Delesse principle and statistical fractal sets: 1. Dimensional equivalents. Soil Till. Res. 49:1998;255-266.
14. Oleschko K., Brambila F., Aceff F., Mora L. From fractal analysis along a line to fractals on the plain. Soil Till. Res. 45:1998;389-406.
15. Parrot, J.F., Rico, J., 1997. Implementación y operación de un algoritmo para la estimación de los parámetros fractales de las imágenes. UNAM, Instituto de Geología, Proyectos DGAPA, Informe Final, 35 pp.
16. Perrier, E., 1995. Structure Géométrique et Fonctionnement Hydrique des Sols Simulations Exploratoires. Collection études et théses, ORSTOM Éditions, Paris, France, 258 pp.
17. Rieu M., Sposito G. Fractal fragmentation soil porosity and soil water properties: Y. Theory. Soil Sci. Am. J. 55:1991;1231-1238.
18. Rieu, M., Perrier, E., 1998. Fractal models of fragmented and aggregated soils. In: Baveye, Ph., Parlange, J.I., Stewart, B.A. (Eds.), Fractals in Soil Science. CRC Press, Boca Raton, FL, pp. 169-202.
19. Rosiwal, A., 1898. Ueber geometrische Gesteinsanalysen. Verh K.K. Geol. Reichsanst. Wien, 143 pp.
20. Thompson A.H., Katz A.J., Krohn C.E. The microgeometry and transport properties of sedimentary rock. Adv. Phys. 36(5):1987;625-694.
21. Weibel, E.R., 1989. Stereological Methods. Academic Press. New. York, 339 pp.