Kacimov, A. R. and Youngs, E. G.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1007/s10665-008-9264-9|
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An analytical solution of Laplace’s equation is obtained for the flow of water in the tension-saturated zone of a “Green and Ampt” soil, subject to uniform vertical infiltration from above, around an axisymmetric cavity of critical shape that just excludes water. The solution is obtained by converting a line-source potential in a plane seepage flow into a line source in an axisymmetric flow (the Polubarinova-Kochina solution) using Pologii’s integral transform combined with a unit-gradient potential for downward seepage flow. The analysis shows that both the cavity surface and the capillary fringe boundary are paraboloids between which is sandwiched a tension-saturated region. The critical cavity obtained for the Green and Ampt soil and Philip’s paraboloidal cavity obtained for a “Gardner” soil allow the estimates of the soil parameters used in the two soil models to be related.
|Item Type:||Journal Article|
|Copyright Holders:||2009 Springer Science+Business Media B.V.|
|Keywords:||axisymmetric flow; free boundary; integral transform; seepage|
|Academic Unit/Department:||Science > Environment, Earth and Ecosystems
|Depositing User:||Colin Smith|
|Date Deposited:||26 May 2009 12:23|
|Last Modified:||15 Jan 2016 11:26|
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