Hydrodynamic dispersion during absorption of water by soil: 1. Model soil-moisture profiles |
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| Authors: | DE Elrick MJL Robin KB Laryea |
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| Institution: | 1. Department of Land Resource Science, University of Guelph, Guelph, Ont. N1G 2W1 Canada;2. Department of Earth Science, University of Waterloo, Waterloo, Ont. M2L 3G1 Canada;3. Department of Soil Science, University of Ghana, Accra Ghana |
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| Abstract: | Solute mixing during sorption of water is analysed for three model soil-water profiles: a step-function profile, an error function complement profile and a curvilinear profile.An analytical solution to the step-function profile was obtained and it was shown that the plane about which salt dispersion occurs is coincident with the plane of separation which assumes that all of the water initially present is pushed ahead by the infiltrating water. Similar results were obtained for the two other model profiles, using numerical analysis. A simplified approach for calculating these planes, based on the delta-function model, is presented for both horizontal and vertical infiltration.Proof is given that the estimate for the plane about which salt dispersion occurs should be made with λ0 (defined in the text) rather than with either λ′c or λ′θc (also defined in the text). It was also shown that the solute balance is maintained for all values of the dispersion coefficient for the flux-related boundary condition only. |
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