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On Diffusion in Fractal Soil Structures

Alison N. Andersona, John W. Crawfordb and Alex B. McBratneyc

a Selby Biolab, 5/43-51 College St., Gladesville, NSW, 2111, Australia
b Soil Plant Dynamics Unit, Scottish Crop Research Inst., Invergowrie, Dundee, DD2 5DA, Scotland, United Kingdom
c Dep. of Agricultural Chemistry and Soil Sci., Univ. of Sydney, NSW, 2006, Australia



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Fig. 1 First two stages in the construction of a random recursive lattice in two-dimensional Euclidean space with

 


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Fig. 2 An example of a random recursive lattice with and , giving . The image size is 200 x 200 pixels

 



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Fig. 3 Binary images of the vertical soil thin sections, (a) top of thin section and (b) bottom of thin section (from Anderson et al., 1996)

 


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Fig. 4 Plot of ln(number of boxes of size m) vs. ln(m). The gradient of the line is equal to -Dm. This plot is for the pore space of structure 4 (b) ( )

 





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