Question Bank • QB_IDE_EXP_070 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Agricultural Drainage

Subtopic: Planning, design and layout of surface and sub-surface drainage systems

Question Statement:

In Hooghoudt's steady-state drain spacing formula $S^2 = \frac{8 K_2 d m + 4 K_1 m^2}{q}$, for an impervious floor located exactly at the drain level ($d = 0$), the formula simplifies to $S = m \sqrt{\frac{4 K_1}{q}}$. If $m = 1.0\text{ m}$, hydraulic conductivity $K_1 = 1.2\text{ m/day}$, and steady recharge $q = 0.003\text{ m/day}$, calculate the drain spacing $S$ in $\text{meters}$.

Answer Key:

40

Step-by-Step Solution & Explanation

$\frac{4 K_1}{q} = \frac{4 \times 1.2}{0.003} = \frac{4.8}{0.003} = 1600$ $S = 1.0 \times \sqrt{1600} = 40.0\text{ m}$
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