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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 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer.
Thickness of the silt layer is 2 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 ________.
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- 11.0254
- 10.9675
- 10.0056
- 9.6542
Correct Option: B
Given, k2 = 10 k3 and k2 = 1/10 k1
d2 =2d1 and d2 = 2/3 d3
∴ k1 = 10k2, k3 = 1/10 k2
d1 = 1/2 d2,d3 = 3/2 d2
kH = | ||
d1 + d2 + d3 |
= | (10k2 × | d2) + k2d2 + | k2 × | d2 | |||||
2 | 10 | 2 | |||||||
d2 + d2 + | d2 | ||||||||
2 | 2 |
= | |||
d2 | 3 |
= k2 × | = 2.05 k2 | |
60 |
= | k2 = 0.187 k2 | |
321 |
∴ | = | = 10.9675 | ||
kV | 0.187k2 |