Question Bank • QB_IDE_EXP_037 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Groundwater Hydrology

Subtopic: Groundwater movement; Darcy's Law

Question Statement:

In a confined aquifer, two piezometers installed $400\text{ m}$ apart in the direction of flow show hydraulic heads of $65.0\text{ m}$ and $63.0\text{ m}$. The aquifer has hydraulic conductivity $K = 25\text{ m/day}$ and porosity $n = 0.25$. The actual pore velocity (seepage velocity $V_s$) of groundwater in meters per day is ________ (round off to 1 decimal place).

Answer Key:

0.5

Step-by-Step Solution & Explanation

1. Hydraulic gradient $i$: $i = \frac{\Delta h}{L} = \frac{65.0 - 63.0}{400} = \frac{2.0}{400} = 0.005$ 2. Darcy velocity (discharge velocity) $v$: $v = K i = 25 \times 0.005 = 0.125\text{ m/day}$ 3. Seepage velocity $V_s$: $V_s = \frac{v}{n} = \frac{0.125}{0.25} = 0.50\text{ m/day}$
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