Question

The coefficient of permeability of a soil is 5 $\times$ ${10}^{-5}$ cm/sec for a certain pore fluid. If the viscosity of the pore fluid is reduced to half, the coefficient of permeability will be

• A. $5\times {10}^{-5}cm/sec$
• B. $10\times {10}^{-5}cm/sec$
• C. $2.5\times {10}^{-5}cm/sec$
• D. $1.25\times {10}^{-5}cm/sec$

Answer 1

The correct option is B $10\times {10}^{-5}cm/sec$

We know that

K $\alpha$ $\frac{1}{\mu }$

$\frac{K_1}{K_2}=\frac{{\mu }_2}{{\mu }_1}$

$\frac{5\times {10}^{-5}}{K_2}=\frac{{\mu }_1}{2}\times \frac{1}{{\mu }_1}$

$K_2=10\times {10}^{-5}cm/s$