Scope for further analytical solutions for constant flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile.

Barry, David., Parlange, J., Lisle, I., Li, L., Jeng, Dong-Sheng., Stagnitti, Frank and Sander, G. 2002, Scope for further analytical solutions for constant flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile., Water resources research, vol. 38, no. 12, pp. 1265-1271.


Title Scope for further analytical solutions for constant flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile.
Author(s) Barry, David.
Parlange, J.
Lisle, I.
Li, L.
Jeng, Dong-Sheng.
Stagnitti, Frank
Sander, G.
Journal name Water resources research
Volume number 38
Issue number 12
Start page 1265
End page 1271
Publisher American Geophysical Union
Place of publication Washington D.C.
Publication date 2002-12
ISSN 0043-1397
1944-7973
Keyword(s) Environmental Sciences
Limnology
Water Resources
Diffusion-convection Equation
Rate Rainfall Infiltration
Versatile Nonlinear Model
Richards Equation
Water
Classification
Depth
Flow
Summary We attempt to generate new solutions for the moisture content form of the one-dimensional Richards' [1931] equation using the Lisle [1992] equivalence mapping. This mapping is used as no more general set of transformations exists for mapping the one-dimensional Richards' equation into itself. Starting from a given solution, the mapping has the potential to generate an infinite number of new solutions for a series of nonlinear diffusivity and hydraulic conductivity functions. We first seek new analytical solutions satisfying Richards' equation subject to a constant flux surface boundary condition for a semi-infinite dry soil, starting with the Burgers model. The first iteration produces an existing solution, while subsequent iterations are shown to endlessly reproduce this same solution. Next, we briefly consider the problem of redistribution in a finite-length soil. In this case, Lisle's equivalence mapping is generalized to account for arbitrary initial conditions. As was the case for infiltration, however, it is found that new analytical solutions are not generated using the equivalence mapping, although existing solutions are recovered.
Language eng
Field of Research 079901 Agricultural Hydrology (Drainage, Flooding, Irrigation, Quality, etc)
Socio Economic Objective 970107 Expanding Knowledge in the Agricultural and Veterinary Sciences
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2002, American Geophysical Union
Persistent URL http://hdl.handle.net/10536/DRO/DU:30009492

Document type: Journal Article
Collection: School of Ecology and Environment
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