Question Bank • QB_IDE_EXP_040 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 of initial saturated depth $H = 20.0\text{ m}$, a fully penetrating well is pumped at steady state. At an observation well, the water table drops to $h = 16.0\text{ m}$. The equivalent drawdown in a fictitious confined aquifer of thickness $H$ according to Dupuit's transformation ($s_{eq} = s - \frac{s^2}{2 H}$) in meters is ________ (round off to 2 decimal places).

Answer Key:

3.6

Step-by-Step Solution & Explanation

1. Observed unconfined drawdown $s = H - h = 20.0 - 16.0 = 4.0\text{ m}$. 2. Equivalent drawdown correction $s_{eq}$: $s_{eq} = s - \frac{s^2}{2 H} = 4.0 - \frac{4.0^2}{2 \times 20.0} = 4.0 - \frac{16.0}{40.0} = 4.0 - 0.40 = 3.60\text{ m}$
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