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Exercises

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.
5.2.Obtain water level data for a well in your area and plot a hydrograph of water table elevation versus time.
5.3.For the following water content data draw depth versus time contours of equal water content.

Depth (cm)1 mo2 mo3 mo4 mo5 mo6 mo
100.100.510.400.360.220.15
200.100.400.500.450.360.22
300.100.300.350.480.410.32
400.100.200.250.310.400.32
500.100.100.150.160.260.30


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.
5.5.Redraw Figure 5.5 by moving the datum to the top of the soil in the column.
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.

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)
1520
30100
45180
60200
70200


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.
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.
5.10.Determine the leaching fraction for the lumped root zone example of Section 5.1.2.
5.11.What is the leaching fraction for problem 5.1.
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.
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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