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Analytical Model for Vadose Zone Solute Transport with Root Water and Solute Uptake

G. Schoups and J. W. Hopmans*

Hydrologic Sciences, Department of Land, Air, and Water Resources, University of California, One Shields Avenue, Davis, CA 95616


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Fig. 1. Solute parcel trajectories for downward flow in the presence of root water uptake: p = 0.8, a = 0, and root distribution is exponential. BVP, boundary value problem; IVP, initial value problem.

 


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Fig. 2. Solute transport for downward flow to a deep water table: triangles (steady flux) and diamonds (transient flux) represent a nonuniform moisture distribution, whereas full lines are solutions for uniform moisture profiles.

 


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Fig. 3. Solute transport for upward flow from a shallow water table: triangles (steady flux) and diamonds (transient flux) represent a nonuniform moisture distribution, whereas full lines are solutions for uniform moisture profiles.

 


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Fig. 4. Influence of parameters p, a, Kd, and soil type on weighted average root zone solute concentration, Cwm. The full line corresponds to the reference case (Table 2), whereas the dashed lines represent variations from the reference values, as indicated.

 


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Fig. 5. Influence of parameters p, a, Kd, and soil type on cumulative solute flux, Scum, at the 2-m depth. The full line corresponds to the reference case (Table 2), whereas the dashed lines represent variations from the reference values, as indicated.

 


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Fig. 6. Yearly solute concentration profiles for a linear increase in p from 0.1 in Year 1 to 0.8 in Year 8.

 





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