A 4-cell aquifer model is conceptualized in the figure below. River River Cell 1 Cell 2 Cell 3 (a) Top view 2 (b) Cross section Cell 4 Impervious boundary The width of the aquifer strip is 3.0 km; the length of each cell is 5 km. The recharge rates for the aquifer strip is 400 mm/yr, 300 mm/yr, 300 mm/yr, 200 mm/yr in Cells 1,2,3, and 4,respectively. The water level in the river is maintained at a constant elevation of 160 m above the horizontal impervious bottom. The hydraulic conductivity in Cells 1 and 2 is 3 m/d, while in Cells 3 and 4 it is 6 m/d. Using this conceptual model, determine:

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A 4-cell aquifer model is conceptualized in the figure below.
River
Cell 1
Cell 2
Cell 3
(a) Top view
(b) Cross section
Cell 4
Impervious
boundary
The width of the aquifer strip is 3.0 km; the length of each cell is 5 km. The recharge rates for the aquifer strip is 400 mm/yr, 300 mm/yr, 300 mm/yr, 200 mm/yr in Cells
1,2,3, and 4,respectively. The water level in the river is maintained at a constant elevation of 160 m above the horizontal impervious bottom. The hydraulic conductivity in
Cells 1 and 2 is 3 m/d, while in Cells 3 and 4 it is 6 m/d.
Using this conceptual model, determine:
1. Write the steady-flow balance equations to estimate average water levels in the four cells.
2. Solve these equations to determine the average elevations in the 4 cells without pumping.
3. Solve these equations when pumping takes place in Cells 2 and 3 at rates of 4×106 m3/yr and 7×106 m3/yr, respectively.
Transcribed Image Text:A 4-cell aquifer model is conceptualized in the figure below. River Cell 1 Cell 2 Cell 3 (a) Top view (b) Cross section Cell 4 Impervious boundary The width of the aquifer strip is 3.0 km; the length of each cell is 5 km. The recharge rates for the aquifer strip is 400 mm/yr, 300 mm/yr, 300 mm/yr, 200 mm/yr in Cells 1,2,3, and 4,respectively. The water level in the river is maintained at a constant elevation of 160 m above the horizontal impervious bottom. The hydraulic conductivity in Cells 1 and 2 is 3 m/d, while in Cells 3 and 4 it is 6 m/d. Using this conceptual model, determine: 1. Write the steady-flow balance equations to estimate average water levels in the four cells. 2. Solve these equations to determine the average elevations in the 4 cells without pumping. 3. Solve these equations when pumping takes place in Cells 2 and 3 at rates of 4×106 m3/yr and 7×106 m3/yr, respectively.
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