A Note on the Apparent Conductivity of Stratified Porous Media in Unsaturated Steady Flow Above a Water Table |
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Authors: | Gerardo Severino Antonio Coppola |
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Institution: | 1.Water Resources Management,University of Naples, Federico II,Portici,Italy;2.Department of Mechanical and Aerospace Engineering (MAE),University of California,San Diego,USA |
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Abstract: | We aim at deriving the apparent unsaturated conductivity (AUC) K
(ap), defined as the ratio between the mean flux and the mean head gradient in a stratified vadose zone above the water table.
This is achieved for steady flow generated by a constant infiltrating flux applied at the soil surface. By adopting the first-order
approximation in the two parameters of the conductivity curve, and under a few additional simplifying assumptions, we were
able to analytically compute K
(ap). It is shown that this latter varies between K
(ap) ≡ K
H (the harmonic mean) at the water table, and K
(ap) ≡ K
ef (the effective conductivity in gravitational flow) far above the water table. Profiles of the AUC are illustrated, and the
impact of parameters values is discussed. |
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Keywords: | |
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