Problem 2 As shown in the following figure, upstream and downstream water levels

Question

Problem 2 As shown in the following figure, upstream and downstream water levels are maintained. Water permeates through the soil layer but there is no flow across the dam. The unit weight of water is 62.4 pcf. Show the water levels in piezometer when they are placed at A, B, C, and D (locations are shown in figure 2). Calculate hydrostatic pressure, pressure head, and the total head at those locations with respect to the datum X-X and Y-Y If downstream water level is allowed to rise while maintaining the upstream water level at the same height, how high the downstream water level will rise before stopping any flow through the soil layer? Note: Figure is not drawn to scale 20 12 10' SOIL Figure 2

Explanation / Answer

piezometer level at point A=27'

piezometer level at point B=15'

piezometer level at point C=21'

piezometer level at point D=15'

about datum Y-Y

point hydrostatic pressure pressure head total head

A 499.2 psf 12' 12'

B 1248 psf 0 0

C 249.6 psf 6 6

D 624 psf 0 0

about datum X-X

point hydrostatic pressure pressure head total head

A 499.2 psf 27' 12'

B 1248 psf 15' 15'

C 249.6 psf 21' 21'

D 624 psf 15' 15'

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