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June 1, 1976Water Resources Research8,346 citations

A new model for predicting the hydraulic conductivity of unsaturated porous media

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YMYechezkel Mualem

Key Points

  • To develop an analytical model predicting unsaturated hydraulic conductivity curves using water retention data and measured saturated conductivity.
  • Modified the Childs and Collis-George pore-sequence framework to account for the geometric effects of larger pore sections.
  • Derived a computational method to calculate residual water content and extrapolate capillary head data measured over a limited range.
  • Evaluated model accuracy against measured data from 45 soils and compared performance to models by Averjanov, Wyllie and Gardner, and Millington and Quirk.
  • The proposed analytical model achieved closer qualitative and quantitative agreement with experimental observations across the 45 soil datasets than existing alternative models.
  • The derived computational framework successfully estimated residual water content and enabled reliable extrapolation of soil moisture-capillary head curves.

Abstract

A simple analytic model is proposed which predicts the unsaturated hydraulic conductivity curves by using the moisture content‐capillary head curve and the measured value of the hydraulic conductivity at saturation. It is similar to the Childs and Collis‐George (1950) model but uses a modified assumption concerning the hydraulic conductivity of the pore sequence in order to take into account the effect of the larger pore section. A computational method is derived for the determination of the residual water content and for the extrapolation of the water content‐capillary head curve as measured in a limited range. The proposed model is compared with the existing practical models of Averjanov (1950), Wyllie and Gardner (1958), and Millington and Quirk (1961) on the basis of the measured data of 45 soils. It seems that the new model is in better agreement with observations.

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Cite This Study

Yechezkel Mualem (1976) studied this question.

synapsesocial.com/papers/69d73bebc74376700bf30e83https://doi.org/10.1029/wr012i003p00513
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