Question

From the coefficient of consolidation and coefficient of compressibility, the coefficient of permeability is found by equation __________

(a) \(k=\frac{γ_w}{1+e_o} \)

(b) \(k=\frac{C_v a_v Aγ_w}{1+e_o} \)

(c) \(k=\frac{a_v γ_w}{1+e_o} \)

(d) \(k=\frac{C_v a_v γ_w}{1+e_o} \)

I got this question in final exam.

The above asked question is from Determination of Coefficient of Consolidation topic in division One Dimensional Consolidation of Geotechnical Engineering I

Answer 1

The correct option is (d) \(k=\frac{C_v a_v γ_w}{1+e_o} \)

The explanation is: Since the coefficient of permeability is given by the equation,

k=Cv mv γw  —————–(1)

The coefficient of volume change is given by,

\(m_v=\frac{a_v}{1+e_0},\) therefore substituting in (1),

\(k=\frac{C_v a_v γ_w}{1+e_o} \).