Question Bank • QB_IDE_EXP_087 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Groundwater Hydrology

Subtopic: Steady and unsteady flow in confined and unconfined aquifers

Question Statement:

In an unconfined aquifer, a fully penetrating well of radius $r_w = 0.20\text{ m}$ is pumped to produce a steady drawdown of $s_w = 2.0\text{ m}$. The initial saturated thickness of the unconfined aquifer is $H = 20.0\text{ m}$. Calculate the equivalent drawdown $s'$ in a confined aquifer having the same transmissivity using Dupuit's correction $s' = s_w - \frac{s_w^2}{2 H}$ in $\text{meters}$.

Answer Key:

1.9

Step-by-Step Solution & Explanation

$s' = s_w - \frac{s_w^2}{2 H} = 2.0 - \frac{2.0^2}{2 \times 20.0} = 2.0 - \frac{4.0}{40.0} = 2.0 - 0.10 = 1.90\text{ m}$
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