Analytical approximation to the solutions of Richards' equation with applications to infiltration,ponding, and time compression approximation |
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| Affiliation: | 1. Department of Agricultural and Biological Engineering, Cornell University, 216 Riley-Robb Hall, Ithaca NY 14853 5701, USA;2. Faculty of Environmental Sciences, Griffith University, Nathan, Brisbane, Queensland 4111, Australia;3. Department of Environmental Engineering, Centre for Water Research, University of Western Australia, Nedlands 6907 Western Australia;4. Department of Geography and Environmental Engineering, Johns Hopkins University, Baltimore MD 21218, USA;5. Laboratoire d''Etude du Transfert en Hydrologie et Environnement (LTHE/IMG, UJF, CNRS URA 1512), B.P. 53, 38041 Grenoble, France;6. Division of Soils, CSIRO, Davies Laboratory, Townsville, Queensland 4814, Australia;7. School of the Environment, Duke University, Durham NC 27708, USA |
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| Abstract: | A recent approach to solve Richards' equation is further improved. This approach brings understanding into the physical processes of infiltration and ponding. In particular we apply it to analyze the standard hydrologic tool of Time Compression Approximation (TCA). We also suggest that the new approach provides a more reliable alternative to TCA, e.g. for predicting ponding time. |
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