A two-dimensional fuzzy random model of soil pore structure |
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Authors: | Christopher J Moran and Alexander B McBratney |
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Institution: | (1) Division of Soils, Commonwealth Scientific and Industrial Research Organisation, GPO Box 639, ACT 2601, Australia;(2) Department of Agricultural Chemistry & Soil Science, The University of Sydney, NSW 2006, Australia |
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Abstract: | A new conceptual model for soil poresolid structure is formalized. Soil poresolid structure is proposed to comprise spatially
abutting elements each with a value which is its membership to the fuzzy set “pore, ” termed porosity. These values have a
range between zero (all solid) and unity (all pore). Images are used to represent structures in which the elements are pixels
and the value of each is a porosity. Twodimensional random fields are generated by allocating each pixel a porosity by independently
sampling a statistical distribution. These random fields are reorganized into other poresolid structural types by selecting
parent points which have a specified local region of influence. Pixels of larger or smaller porosity are aggregated about
the parent points and within the region of interest by controlled swapping of pixels in the image. This creates local regions
of homogeneity within the random field. This is similar to the process known as simulated annealing. The resulting structures
are characterized using one and twodimensional variograms and functions describing their connectivity. A variety of examples
of structures created by the model is presented and compared. Extension to three dimensions presents no theoretical difficulties
and is currently under development. |
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Keywords: | fuzzy sets random sets pore structure soil point processes fuzzy connectivity |
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