Similarity solutions to the second boundary value problem of unsaturated flow through porous media |
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| Authors: | Yoshisuke Nakano |
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| Institution: | US Army Cold Regions Research and Engineering Laboratory, Hanover, New Hampshire 03755, USA |
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| Abstract: | Similarity solutions to the second boundary value problem of unsaturated flow are studied in one-dimensional, semi-infinite porous media with the soil-water diffusivity proportional to some power of the water content. The existence and uniqueness of two types of similarity solutions to the problem are investigated and the properties of these solutions are presented. It is shown that these two types of similarity solutions exist and that they may not be unique for every parameter range studied. The use of the similarity solutions is discussed for the experimental determination of soil-water diffusivity. |
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| Keywords: | similarity solutions porous media unsaturated flow flux boundary condition soil-water diffusivity |
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