| 5.1. | Redo the lumped root zone analysis in Section 5.1.2 with a uniform applied water during the months of April through July of 30 cm per month.
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| 5.2. | Obtain water level data for a well in your area and plot a hydrograph of water table elevation versus time.
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| 5.3. | For the following water content data draw depth versus time contours of equal water content.
| Depth (cm) | 1 mo | 2 mo | 3 mo | 4 mo | 5 mo | 6 mo |
|---|
| 10 | 0.10 | 0.51 | 0.40 | 0.36 | 0.22 | 0.15 | | 20 | 0.10 | 0.40 | 0.50 | 0.45 | 0.36 | 0.22 | | 30 | 0.10 | 0.30 | 0.35 | 0.48 | 0.41 | 0.32 | | 40 | 0.10 | 0.20 | 0.25 | 0.31 | 0.40 | 0.32 | | 50 | 0.10 | 0.10 | 0.15 | 0.16 | 0.26 | 0.30 |
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| 5.4. | Prove that for a more permeable layer below a less permeable layer that flow must be unsaturated in the more permeable layer based upon an argument using retention curves.
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| 5.5. | Redraw Figure 5.5 by moving the datum to the top of the soil in the column.
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| 5.6. | For the following column draw the energy components, φ, z0 and ψ with the datum at the bottom of the soil column and at the top of the soil column.

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| 5.7. | Plot the breakthrough curve using the units of Figure 5.17 for a column 30 cm long 5 cm in diameter packed with soil of porosity 0.42. The column is saturated and the discharge is 2 cm3·hr−1. The following concentration data is obtained at the outflow:
| Time after introduction of chemical (hr) | Concentration (mg/l) |
|---|
| 15 | 20 | | 30 | 100 | | 45 | 180 | | 60 | 200 | | 70 | 200 |
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| 5.8. | A column of 20 cm long has a diameter of 4 cm. For a water content of 0.23 and a seepage velocity of 0.9 cm ·d−1, calculate the pore volume.
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| 5.9. | Assume a water column is initially saturated and drains to a stable water table as well as is subjected to a hot dry wind across the soil surface. Sketch profile water content curves and energy head curves.
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| 5.10. | Determine the leaching fraction for the lumped root zone example of Section 5.1.2.
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| 5.11. | What is the leaching fraction for problem 5.1.
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| 5.12. | Assume the average annual deep drainage below the root zone is 10 cm ·yr−1, the depth to the water table is 10 m, and the soil profile is a uniform silt, estimate the travel time from the soil surface to the water table.
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| 5.13. | Repeat problem 5.11 but assume that water is ponded on the surface. Comment on the sustainability of infiltration rates at the pond bottom.
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