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Published online 26 January 2006
Published in Vadose Zone J 5:121-124 (2006)
DOI: 10.2136/vzj2005.0066
© 2006 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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NOTES

Closed-Form Expression for the Multi-Modal Unsaturated Conductivity Function

E. Priesack*,a and W. Durnerb

a Institute of Soil Ecology, GSF-National Research Centre for Environment and Health, P.O. Box 1129 Neuherberg, D-85764 Oberschleissheim, Germany
b Institute of GeoEcology, Braunschweig Technical Univ., Germany

* Corresponding author (priesack{at}gsf.de)

Received 20 May 2005.

In this note we derive a closed-form expression representing the hydraulic conductivity function for soils with a multi-modal pore size distribution. By combining the multi-modal representation of the retention function of Durner with the conductivity representation model of Mualem and following van Genuchten, we derive a simple analytical expression for the conductivity of soils with heterogeneous pore systems. Examples for the representation of bi-modal and tri-modal retention and corresponding conductivity curves demonstrate the applicability of the simple analytical expressions. It is concluded that the usefulness of the multi-modal representation of retention functions is increased by providing an analytical expression to directly calculate unsaturated hydraulic conductivities.




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M. Weynants, H. Vereecken, and M. Javaux
Revisiting Vereecken Pedotransfer Functions: Introducing a Closed-Form Hydraulic Model
Vadose Zone J., February 10, 2009; 8(1): 86 - 95.
[Abstract] [Full Text] [PDF]




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