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Perturbation Analysis for Wetting Fronts in Richard's Equation |
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| Authors: | WITELSKI THOMAS P |
| Institution: | (1) Department of Mathematics, 2-336, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139-4307, U.S.A. e-mail |
| Abstract: | Perturbation methods are used to study the interaction of wetting fronts with impervious boundaries in layered soils. Solutions of Richards' equation for horizontal and vertical infiltration problems are considered. Asymptotically accurate solutions are constructed from outer solutions and boundary-layer corrections. Results are compared with numerical simulations to demonstrate a high level of accuracy. |
| Keywords: | Richards' equation nonlinear diffusion infiltration layered soils wetting fronts perturbation methods |
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