Civil Engineering MCQAE Level Civil Engineering

For a stratified soil deposit with horizontal layers, the equivalent coefficient of permeability in the VERTICAL direction (k_v) is:

Soil MechanicsCoefficient of PermeabilityMEDIUM

Choose the correct answer

A

Σ(k_i × H_i) / ΣH_i

B

ΣH_i / Σ(H_i/k_i)

C

Average of all layer permeabilities

D

k_v = k_h always

Correct Answer

B. ΣH_i / Σ(H_i/k_i)

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For flow perpendicular to layers (vertical): k_v = ΣH_i / Σ(H_i/k_i) — this is a harmonic average weighted by layer thickness. For flow parallel to layers (horizontal): k_h = Σ(k_i×H_i)/ΣH_i (arithmetic average).

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