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Analytical Model for Gravity-Driven Drainage

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Reactive Transport in Soil and Groundwater

Abstract

We model drainage flow by assuming gravitational regime. Central for the present paper is a fairly general analytical solution which is applicable to local (typically laboratory) scale. These results are then specified by adopting the Brooks et al (1964) model for the hydraulic conductivity curve. At field scale, we combine our analytical results with the stream tube model of Dagan et al. (1979) to derive the ensemble average of the effective saturation ā€˜Sā€™. This is achieved by regarding the parameters of hydraulic properties as random space functions (RSFs) with given joint density distribution. For illustration purposes, we limit to consider the spatial variability of the saturated conductivity K s , solely.

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Ā© 2005 Springer-Verlag Berlin Heidelberg

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Severino, G., Comegna, A., Sommella, A. (2005). Analytical Model for Gravity-Driven Drainage. In: NĆ¼tzmann, G., Viotti, P., Aagaard, P. (eds) Reactive Transport in Soil and Groundwater. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26746-8_15

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