Application and Improvement of a recent approximate analytical solution of Richards' equation

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Author(s)
Hogarth, WL
Parlange, JY
Griffith University Author(s)
Year published
2000
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A method for developing wetting front profiles for the one‐dimensional Richards' equation is given. The method is obtained by simplifying and extending a recent approximate solution and brings together features from several different studies. Difficulties associated with profile development are discussed by applying the method to several examples, providing a deeper understanding of the solutions of Richards' equation. For simplicity, we illustrate the improvements for soil‐water diffusivities and conductivities which have a power law dependence on the water content although they should apply in general, and the appropriate ...
View more >A method for developing wetting front profiles for the one‐dimensional Richards' equation is given. The method is obtained by simplifying and extending a recent approximate solution and brings together features from several different studies. Difficulties associated with profile development are discussed by applying the method to several examples, providing a deeper understanding of the solutions of Richards' equation. For simplicity, we illustrate the improvements for soil‐water diffusivities and conductivities which have a power law dependence on the water content although they should apply in general, and the appropriate generalization is given in the conclusion.
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View more >A method for developing wetting front profiles for the one‐dimensional Richards' equation is given. The method is obtained by simplifying and extending a recent approximate solution and brings together features from several different studies. Difficulties associated with profile development are discussed by applying the method to several examples, providing a deeper understanding of the solutions of Richards' equation. For simplicity, we illustrate the improvements for soil‐water diffusivities and conductivities which have a power law dependence on the water content although they should apply in general, and the appropriate generalization is given in the conclusion.
View less >
Journal Title
Water Resources Research
Volume
36
Issue
7
Copyright Statement
© 2000 American Geophysical Union. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Physical geography and environmental geoscience
Civil engineering
Environmental engineering
History, heritage and archaeology