Question Bank • QB_IDE_PUMP_002 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Wells and Pumps

Subtopic: Steady flow through wells

Question Statement:

The drawdown $s_w$ in an agricultural pumping tubewell is expressed by Jacob's well loss equation $s_w = B Q + C Q^2$, where the formation aquifer loss coefficient is $B = 15.0\text{ s/m}^2$ and the well loss coefficient is $C = 125.0\text{ s}^2\text{/m}^5$. When pumped at a steady discharge $Q = 0.040\text{ m}^3\text{/s}$, the total drawdown $s_w$ at the well screen in metres is ________ (round off to 1 decimal place).

Answer Key:

0.8

Step-by-Step Solution & Explanation

From Jacob's well drawdown equation: $s_w = B Q + C Q^2$ Given: • $Q = 0.040\text{ m}^3\text{/s}$ • $B Q = 15.0 \times 0.040 = 0.60\text{ m}$ • $C Q^2 = 125.0 \times (0.040)^2 = 125.0 \times 0.0016 = 0.20\text{ m}$ $s_w = 0.60 + 0.20 = 0.80\text{ m}$
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