Modified Richards equation and its exact solutions for soil water dynamics on eroding hillslopes

Su, Ninghu (2002) Modified Richards equation and its exact solutions for soil water dynamics on eroding hillslopes. Water Resources Research, 38 (6). 8.1-8.6.

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DOI: 10.1029/2001WR000373

View at Publisher Website: http://dx.doi.org/10.1029/2001WR000373

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Abstract

The modified Richards equation (MRE) is presented by using a rotated coordinate system to accommodate the geometry of a hillslope and a moving boundary to represent an eroding surface on a hillslope. Exact analytical solutions of MRE are developed subject to Fujita's [1952] diffusivity and Sander et al.'s [1988] unsaturated hydraulic conductivity. The mathematical analysis presented here for soil water dynamics and infiltration in particular on an eroding hillslope deviates from the traditional way in which infiltration has been investigated since Green and Ampt's [1911] pioneering work. The MRE clearly improves mathematical representation of physical reality. Field data are used to derive parameters in a solution of MRE to illustrate the effect of erosion rates on soil moisture profiles in a moving boundary.


Item ID:	1741
Item Type:	Article (Research - C1)
ISSN:	1944-7973
Keywords:	MRE, Modified Richards equation, soil water flow, global change, water cycles, hydrology, erosion, sedimentation, hydrology, soil moisture, mathematical geophysics, modeling
Additional Information:	© 2002. American Geophysical Union. All Rights Reserved. Further reproduction or electronic distribution is not permitted.
Date Deposited:	11 Oct 2007
FoR Codes:	04 EARTH SCIENCES > 0406 Physical Geography and Environmental Geoscience > 040608 Surfacewater Hydrology @ 0% 01 MATHEMATICAL SCIENCES @ 0% 05 ENVIRONMENTAL SCIENCES > 0503 Soil Sciences > 050305 Soil Physics @ 0%
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