Question

In the phase diagrams given the change due to initial state changing into final state is shown due to consolidation. Depth of soil layer undergoing consolidation is H, $e_0$ is initial void ratio; $e_f$ is final void ratio; $\Delta e$ is change in void ratio.

Indicate which of the following expressions gives settlement of the layer

• A. $Hlo{g}_{10}\left(\frac{\Delta e}{1+e_0}\right)$
• B. $lo{g}_{10}\left(H\frac{\Delta e}{1+e_0}\right)$
• C. $\frac{\Delta e}{1+e_0}$
• D. $H\frac{\Delta e}{1+e_0}$

Answer 1

The correct option is D $H\frac{\Delta e}{1+e_0}$

$\text{Settlement,}\Delta H=H\left(\frac{e_0-e_f}{1+e_0}\right)=\frac{H\Delta e}{1+e_0}$