GATE CE 2018 Set 2 — Question 43
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Geotechnical Engineering → Permeability → Constant Head Test
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Question
Three soil specimens (Soil 1, Soil 2 and Soil 3), each 150 mm long and 100 mm diameter, are placed in series in a constant head flow set-up as shown in the figure. Suitable screens are provided at the boundaries of the specimens to keep them intact. The values of coefficient of permeability of Soil 1, Soil 2 and Soil 3 are 0.01, 0.003 and 0.03 cm/s, respectively.
The value of in the set-up is
Correct answer
(B) 40 mm
Solution
1.For flow in series, the discharge is the same through each specimen: .
2.Since the cross-sectional area and length mm are the same for all, , where is the head loss in each specimen.
3.Given , , cm/s.
4. and .
5.Total head loss mm.
6. mm.
7.The piezometer level is measured from the downstream water level. The head at the junction of Soil 2 and Soil 3 is equal to the head loss in Soil 3, which is mm. Thus, mm.
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