GATE CE 2015 Set 1 — Question 51
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Geotechnical Engineering → Permeability → One-Dimensional Flow
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Question
A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is .
Correct answer
10 to 12
Solution
Let be the permeability of the clay layer and be its thickness.Given relationships for permeability:
For layered soils, the equivalent horizontal permeability is given by:
2. Equivalent Vertical Permeability ():
For layered soils, the equivalent vertical permeability is given by:
3. Ratio of equivalent horizontal and equivalent vertical permeability:
Ratio The value falls within the given range of .The final answer is .
- Permeability of silt layer
- Permeability of silt layer
- Thickness of silt layer
- Thickness of silt layer
- Clay layer: ,
- Silt layer: ,
- Sand layer: ,
For layered soils, the equivalent horizontal permeability is given by:
2. Equivalent Vertical Permeability ():
For layered soils, the equivalent vertical permeability is given by:
3. Ratio of equivalent horizontal and equivalent vertical permeability:
Ratio The value falls within the given range of .The final answer is .
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