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in Geotechnical Engineering I by (102k points)
A soil deposit has three layers of soil. The permeability of the second layer is twice that of the first layer and the permeability of the third layer is thrice that of the first layer. The thickness of each layer is 5m. What will be its average permeability parallel to the bedding plane?

(a) k

(b) 2k

(c) 3k

(d) 4k

I got this question in final exam.

Question is taken from Permeability of Stratified Soil Deposits in division Permeability of Geotechnical Engineering I

1 Answer

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Best answer
Right choice is (b) 2k

Explanation: Given,

Let the permeability of the three layers be k1, k2, and k3.

K1=k

K2=2k

K3=3k

And z1=z2=z3=5m

For flow parallel to the bedding plane,

\(K_x=\frac{k_1 z_1+k_2 z_2+⋯.+k_n z_n}{z} \)

\(K_x=\frac{5k+10k+15k}{15}  \)

∴ Kx=2k.

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