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An Efficient Markov Chain Model for the Simulation of Heterogeneous Soil Structure

Keijan Wua, Naoise Nunana, John W. Crawford*,b, Iain M. Youngb and Karl Ritzc

a Soil-Plant Dynamics Unit, Scottish Crop Research Institute, Invergowrie, Dundee, DD2 5DA, UK
b SIMBIOS, University of Abertay Dundee, Kydd Building, Bell Street, Dundee DD1 1HG, Scotland
c National Soil Resources Institute, Cranfield University, Silsoe, Bedfordshire MK45 4DT, UK



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  		Fig. 1. Notation relating to neighborhood system adopted in this study. (a) Two-pixel neighborhood; (b) five-pixel neighborhood.

 


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  		Fig. 2. Comparison of simulated soil images with real images. The size of each image is 1.6 by 1.2 cm. (a) Original soil image with anisotropic, linear pore structure. (b) Simulated image using the potential function; (c) simulated image using the scan scheme. (d) Original soil image containing pores of the order of the image size; (e) simulated image using the potential function; (f) simulated image using the scan scheme.

 


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  		Fig. 3. Some examples of soil thin section images and associated simulated images (each image size is 1.6 by 1.2 cm) (a) original images (i.e., soil thin sections); (b) associated simulated image; (c) semivariograms of pore space in original and simulated images.

 




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