Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox
<p>In the gravity-driven free infiltration of a wetting liquid into a homogeneous unsaturated porous medium, the flow pattern is known to depend significantly on the initial saturation. Point source infiltration of a liquid into an initially dry porous medium produces a single finger with an o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2023-03-01
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| Series: | Hydrology and Earth System Sciences |
| Online Access: | https://hess.copernicus.org/articles/27/1279/2023/hess-27-1279-2023.pdf |
| _version_ | 1797860981961916416 |
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| author | J. Kmec M. Šír T. Fürst R. Vodák |
| author_facet | J. Kmec M. Šír T. Fürst R. Vodák |
| author_sort | J. Kmec |
| collection | DOAJ |
| description | <p>In the gravity-driven free infiltration of a wetting liquid into a homogeneous unsaturated porous medium, the flow pattern is known to depend significantly on the initial saturation. Point source infiltration of a liquid into an initially dry porous medium produces a single finger with an oversaturated tip and an undersaturated tail. In an initially wet medium, a diffusion-like plume is produced with a monotonic saturation profile. We present a semi-continuum model, based on a proper scaling of the retention curve, which is discrete in space and continuous in time. We show that the semi-continuum model is able to describe this transition and to capture the experimentally observed dependence of the saturation overshoot and the finger velocity on the initial saturation.</p> |
| first_indexed | 2024-04-09T21:54:42Z |
| format | Article |
| id | doaj.art-e19116c5c1cb4c2ba0c37b72413377e1 |
| institution | Directory Open Access Journal |
| issn | 1027-5606 1607-7938 |
| language | English |
| last_indexed | 2024-04-09T21:54:42Z |
| publishDate | 2023-03-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Hydrology and Earth System Sciences |
| spelling | doaj.art-e19116c5c1cb4c2ba0c37b72413377e12023-03-24T07:08:14ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382023-03-01271279130010.5194/hess-27-1279-2023Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradoxJ. Kmec0M. Šír1T. Fürst2R. Vodák3Palacký University Olomouc, Faculty of Science, Joint Laboratory of Optics of Palacký University and Institute of Physics of the Czech Academy of Sciences, 17. listopadu 1192/12, 779 00 Olomouc, Czech RepublicPalacký University Olomouc, Faculty of Science, Joint Laboratory of Optics of Palacký University and Institute of Physics of the Czech Academy of Sciences, 17. listopadu 1192/12, 779 00 Olomouc, Czech RepublicPalacký University in Olomouc, Dpt. Mathematical Analysis and Applications of Mathematics, Faculty of Science, Olomouc 771 46, Czech RepublicPalacký University in Olomouc, Dpt. Mathematical Analysis and Applications of Mathematics, Faculty of Science, Olomouc 771 46, Czech Republic<p>In the gravity-driven free infiltration of a wetting liquid into a homogeneous unsaturated porous medium, the flow pattern is known to depend significantly on the initial saturation. Point source infiltration of a liquid into an initially dry porous medium produces a single finger with an oversaturated tip and an undersaturated tail. In an initially wet medium, a diffusion-like plume is produced with a monotonic saturation profile. We present a semi-continuum model, based on a proper scaling of the retention curve, which is discrete in space and continuous in time. We show that the semi-continuum model is able to describe this transition and to capture the experimentally observed dependence of the saturation overshoot and the finger velocity on the initial saturation.</p>https://hess.copernicus.org/articles/27/1279/2023/hess-27-1279-2023.pdf |
| spellingShingle | J. Kmec M. Šír T. Fürst R. Vodák Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox Hydrology and Earth System Sciences |
| title | Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox |
| title_full | Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox |
| title_fullStr | Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox |
| title_full_unstemmed | Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox |
| title_short | Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox |
| title_sort | semi continuum modeling of unsaturated porous media flow to explain bauters paradox |
| url | https://hess.copernicus.org/articles/27/1279/2023/hess-27-1279-2023.pdf |
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