Question Bank • QB_IDE_008 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:

Parallel agricultural tile drains are laid at a depth of $1.8\text{ m}$ below the ground surface. The impermeable barrier is situated at a depth of $6.8\text{ m}$ below ground. The maximum permissible water table height midway between drains is $0.8\text{ m}$ below ground (hydraulic head midway $h = 1.8 - 0.8 = 1.0\text{ m}$). The soil hydraulic conductivity is $K = 1.5\text{ m/day}$, steady drainage flux $q = 0.005\text{ m/day}$, and equivalent aquifer depth $d = 3.0\text{ m}$. Using Hooghoudt's equation ($S^2 = \frac{8 K d h + 4 K h^2}{q}$), the required drain spacing $S$ in metres is ________ (round off to 1 decimal place).

Answer Key:

91.7

Step-by-Step Solution & Explanation

Hooghoudt's steady-state drain spacing formula: $S^2 = \frac{8 K d h + 4 K h^2}{q}$ Given: • $K = 1.5\text{ m/day}$ • $d = 3.0\text{ m}$ • $h = 1.0\text{ m}$ • $q = 0.005\text{ m/day}$ $8 K d h = 8 \times 1.5 \times 3.0 \times 1.0 = 36.0$ $4 K h^2 = 4 \times 1.5 \times (1.0)^2 = 6.0$ $\text{Numerator} = 36.0 + 6.0 = 42.0$ $S^2 = \frac{42.0}{0.005} = 8400$ $S = \sqrt{8400} \approx 91.65\text{ m} \approx 91.7\text{ m}$
← Previous (QB_IDE_ADV_057) Next (QB_IDE_EXP_029) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test