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Published online 1 August 2008
Published in Vadose Zone J 7:1079-1088 (2008)
DOI: 10.2136/vzj2007.0115
© 2008 Soil Science Society of America
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Use of a Three-Dimensional Detailed Modeling Approach for Predicting Root Water Uptake

Mathieu Javauxa,*, Tom Schrödera, Jan Vanderborghtb and Harry Vereeckena

a Institute for Chemistry and Dynamics of the Geosphere, Agrosphere Institute, ICG-IV, Forschungszentrum Juelich GmbH, D-52425 Juelich, Germany
b Julich Supercomputing Center, Forschungszentrum Juelich GmbH, D-52425 Juelich, Germany. M. Javaux also Dep. of Environmental Sciences and Land Use Planning, Université Catholique de Louvain, Croix du Sud, 2, bte 2, B-1348 Louvain-la-Neuve, Belgium


Figure 1
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FIG. 1. Water retention ({theta}), hydraulic conductivity (K), water capacity (C), and water diffusivity (D) for loam (continuous line), clay loam (dashed line), and clay soils (dotted line) as a function of pF = log10(|h|), where h is the water potential (cm). Root conductivity is given by the gray horizontal line. Open circles characterize the threshold at which the soils and the root have the same hydraulic conductivity.

 

Figure 2
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FIG. 2. (a) Root architecture and initial water potential distribution; (b) xylem water potential after 5 d for Collar Boundary Condition 2; (c) soil water potential distribution after 5 d, white arrows show water streamlines; (d) soil water content distribution; and (e) sink term distribution.

 

Figure 3
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FIG. 3. Time series of the water flow rate at the root collar (Jc) for Collar Boundary Conditions 1 (upper) and 2 (lower). Line colors refer to different root or soil parameterization: reference (black), xylem conductivity multiplied by 10 (blue), radial conductivity multiplied by 10 (green), and soil hydraulic conductivity multiplied by 10 (red).

 

Figure 4
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FIG. 4. Cross-sections of the three-dimensional soil water content distribution after 1 d with constant water potential at the root collar h = –1000 cm (Collar Boundary Condition 1, Table 1). Comparison between the reference (extreme right) and 10-fold increase of xylem conductivity (Kx), radial conductance (Kr*), and saturated soil conductivity (Ks). Root architecture is shown in white.

 

Figure 5
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FIG. 5. Cross-sections of the three-dimensional soil water content distribution after 7 d with constant water flux at the root collar Jc = –10 cm3 d–1 (Collar Boundary Condition 2, Table 1). Comparison between the reference (extreme right) and 10-fold increase of xylem conductivity(Kx), radial conductance (Kr*), and saturated soil conductivity (Ks). Root architecture is shown in white.

 

Figure 6
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FIG. 6. Sink-term profile for Collar Boundary Condition 1 (left) and 2 (right). Line colors refer to different root or soil parameterization: reference (black), xylem conductivity multiplied by 10 (blue), radial conductivity multiplied by 10 (green), and soil hydraulic conductivity multiplied by 10 (red). For clarity, the dashed line represents the normalized root length density (RLD) profile multiplied by 10.

 

Figure 7
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FIG. 7. Averaged water content ({theta}) profile, averaged horizontal component of the velocity field (vh) profile, and averaged vertical component of the velocity field (vz) profile after 0.5 and 7 d for Collar Boundary Conditions 1 (continuous lines) and 2 (dashed lines). Line colors refer to different root or soil parameterization: reference (black), xylem conductivity multiplied by 10 (blue), radial conductivity multiplied by 10 (green), and soil hydraulic conductivity multiplied by 10 (red).

 

Figure 8
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FIG. 8. Water content variability profile [CV({theta})] and coefficients of variability of the horizontal component of the velocity field profile [CV(vz)] and the horizontal component of the velocity field profile [CV(vh)] after 0.5 and 7 d for Collar Boundary Conditions 1 (continuous lines) and 2 (dashed lines). Line colors refer to different root or soil parameterization: reference (black), xylem conductivity multiplied by 10 (blue), radial conductivity multiplied by 10 (green), and soil hydraulic conductivity multiplied by 10 (red).

 

Figure 9
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FIG. 9. Time series of the water flux at the root collar (Jc) for Collar Boundary Conditions 1 (upper) and 2 (lower). Continuous lines refer to loam, dashed lines to clay loam, and dotted lines to clay soils.

 

Figure 10
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FIG. 10. Cross-sections of the three-dimensional water potential distribution after 7 d with constant water flux at the root collar (Collar Boundary Condition 1, Table 1) for the three soil types. Root architecture is shown in white.

 

Figure 11
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FIG. 11. Cross-sections of the three-dimensional distribution of the ratio between soil and root conductivity (log10[K(h)/Kr]) after 7 d with constant water flux at the root collar (Collar Boundary Condition 2, Table 1) for the three soil types. Root architecture is shown in white.

 

Figure 12
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FIG. 12. Profile of the sink term for the standard Collar Boundary Condition 3.

 

Figure 13
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FIG. 13. Prescribed (dashed line) and actual (continuous line) flux at the root collar under Collar Boundary Condition 3 with 10 times larger maximum transpiration.

 

Figure 14
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FIG. 14. Normalized sink term (S*) vs. averaged water content (upper left) and averaged bulk water potential (upper right), and S* divided by the root surface density (RSD) vs. averaged water content (lower left) and averaged bulk water potential (lower right).

 





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