Fractal dimension and lacunarity of bulk density determined with X-ray computed tomography

Soil Science Society of America Journal

Volumn 60, Issue 6, 1996, Pages 1718-1724

  Zeng, Y ^a   Gantzer, C J ^b   Payton, R L ^a   Anderson, S H ^b  

^a University of Missouri   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY; FRACTAL ANALYSIS; FRACTAL GEOMETRY; MACROPORE; SOIL DENSITY; SOIL STRUCTURE; TOMOGRAPHY;

EID: 0030300669     PISSN: 03615995     EISSN: None     Source Type: Journal    
DOI: 10.2136/sssaj1996.03615995006000060016x     Document Type: Article

References (26)

1. Anderson, S.H., C.J. Gantzer, J.M. Boone, and R.J. Tully. 1988. Rapid nondestructive bulk density and soil-water content determination by computed tomography. Soil Sci. Soc. Am. J. 52:35-40.
2. Anderson, S.H., R.L. Peyton, and C.J. Gantzer. 1990. Evaluation of constructed and natural soil macropores using x-ray computed tomography. Transport of water and solutes in macropores. Geoderma 46:13-29.
3. Anderson, S.H., R.L. Peyton, J.W. Wigger, and C.J. Gantzer. 1992. Influence of aggregate size on solute transport as measured using computed tomography. Digitization processing and quantitative interpretation of image analysis. Geoderma 53:387-398.
4. 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.
5. Brakensiek, D.L., W.J. Rawls, S.D. Logsdon, and W.M. Edwards. 1992. Fractal description of macroporosity. Soil Sci. Soc. Am. J. 56:1721-1723.
6. Chen, S.S. 1987. Fractal geometry in image understanding. Ph.D. diss. Univ. of Missouri, Columbia (Diss. Abstr. 88-18924).
7. Crawford, J.W. 1994. The relationship between structure and the hydraulic conductivity of soil. Eur. J. Soil Sci. 45:493-502.
8. Crawford, J.W., K. Ritz, and I.M. Young. 1992. Quantification of fungal morphology, gaseous transport and microbial dynamics in soil: An integrated framework utilising fractal geometry. Geoderma 56:157-172.
9. Crawford, J.W., B.D.S. Sleeman, and I.M. Young. 1993. On the relation between number-size distributions and the fractal dimension of aggregates. J. Soil Sci. 44:555-565.
10. Crownover, R.M. 1995. Introduction to fractals and chaos. Jones & Bartlett Publ., Boston.
11. Dexter, A.R. 1988. Advances in characterization of soil structure. Soil Tillage Res. 11:199-238.
12. Keller, J.M., S. Chen, and R.M. Crownover. 1989. Texture description and segmentation through fractal geometry. Comput. Vision Graphics Image Process. 45:150-166.
13. Keller, J.M., R.M. Crownover, and S. Chen. 1987. Characteristics of natural scenes related to the fractal dimension. IEEE Trans. Pattern Anal. Machine Intell. PAMI-9:621-627.
14. Mandelbrot, B.B. 1983. The fractal geometry of nature. W.H. Freeman and Co., New York.
15. Mandelbrot, B.B., and J. Van Ness. 1968. Fractional Brownian motion, fractional noises and applications. SIAM Rev. 10:422-437.
16. Medioni, G., and Y. Yasumoto. 1984. A note on using the fractal dimension for segmentation. p. 25-30. In IEEE Computer Vision Worksh., Annapolis, MD. 30 Apr.-2 May 1984. IEEE Computer Soc. Press, Los Alamitos, CA.
17. Perfect, E., and B.D. Kay. 1991. Fractal theory applied to soil aggregation. Soil Sci. Soc. Am. J. 55:1552-1558.
18. Perfect, E., B.D. Kay, and V. Rasiah. 1991. Estimating the fractal dimension of soil aggregates from mass-size distribution data. p. 34-35. In Annu. Rep. Land Resour. Sci., Univ. of Guelph, Guelph, ON.
19. Peyton, R.L., C.J. Gantzer, S.H. Anderson, B.A. Haeffner, and P. Pfeifer. 1994. Fractal dimension to describe soil macropore structure using x-ray computed tomography. Water Res. 30:691-700.
20. Peyton, R.L., B.A. Haeffner, S.H. Anderson, and C.J. Gantzer. 1992. Applying x-ray CT to measure macropore diameters in undisturbed soil cores. Digitization processing and quantitative interpretation of image analysis. Geoderma 53:329-340.
21. Pfeifer, P. 1984. Fractal dimension as working tool for surface-roughness problems. Appl. Surf. Sci. 18:146-164.
22. Uhland, R.E. 1950. Physical properties of soils modified by crops and management. Soil Sci. Soc. Am. J. 14:361-366.
23. Voss, R.F. 1986. Random fractals: Characterization and measurement, p. 1-11. IN R. Pynn and A. Skeltorp (ed.) Scaling phenomena in disordered systems. Plenum Press, New York.
24. Voss, R.F. 1988. Fractals in nature: From characterization to simulation. Sci. Fractal Images 21-29.
25. Young, I.M., and J.W. Crawford. 1991. The fractal structure of soil aggregates: Its measurement and interpretation. J. Soil Sci. 42: 187-192.
26. Zeng, Y. 1994. Fractal analysis of soil structure. M.S. thesis. Univ. of Missouri, Columbia.