Question Bank • QB_IDE_ADV_057 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Irrigation Water Conveyance and Application Methods

Subtopic: Irrigation efficiencies

Question Statement:

A canal turnout delivers a steady discharge of $Q = 100.0\text{ L/s}$ ($0.100\text{ m}^3/\text{s}$) to a farm conveyance channel for an irrigation duration of $t = 8.0\text{ hours}$. The water conveyance efficiency of the farm channel is $\eta_c = 80.0\%$ and the water application efficiency in the field is $\eta_a = 75.0\%$. The volume of irrigation water stored in the crop root zone in cubic meters ($\text{m}^3$) is ________ (answer in integer).

Answer Key:

1728

Step-by-Step Solution & Explanation

**Method 1: Step-by-Step Delivery Tracking** 1. Total water volume diverted from canal turnout ($V_d$): $V_d = Q \times t = 0.100\text{ m}^3/\text{s} \times (8.0 \times 3600\text{ s}) = 0.100 \times 28,800 = 2880.0\text{ m}^3$ 2. Water volume delivered to field inlet ($V_f$): $V_f = \eta_c \times V_d = 0.80 \times 2880.0 = 2304.0\text{ m}^3$ 3. Water volume stored in crop root zone ($V_s$): $V_s = \eta_a \times V_f = 0.75 \times 2304.0 = 1728.0\text{ m}^3$ **Method 2: Project Scheme Efficiency Product** $\text{Overall Efficiency } \eta_p = \eta_c \times \eta_a = 0.80 \times 0.75 = 0.60$ $V_s = \eta_p \times V_d = 0.60 \times 2880.0 = 1728\text{ m}^3$
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