GATE CE 2019 Set 2 — Question 63
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Geotechnical Engineering → Permeability → Constant Head Test
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Question
Constant head permeability tests were performed on two soil specimens, and . The ratio of height of the two specimens () is , the ratio of the diameter of specimens () is , and the ratio of the constant head () applied on the specimens is . If the discharge from both the specimens is equal, the ratio of the permeability of the soil specimens () is _______
Correct answer
2.95 to 3.05
Solution
For a constant head permeability test, the discharge is given by Darcy's law:Given that the discharge from both specimens is equal ():Rearranging to find the ratio of permeabilities:From the given data:
- Ratio of heights:
- Ratio of diameters:
- Ratio of constant heads:
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