Allied & ICAR Exam Bank • ALLIED_0550 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Groundwater Wells and Pumps

Subtopic: Groundwater Wells and Pumps

Question Statement:

In a pumping test on a confined aquifer, steady well discharge is $Q = 1200\text{ m}^3/\text{day}$. Drawdowns at observation wells at $r_1 = 10\text{ m}$ and $r_2 = 100\text{ m}$ (so $\ln(r_2/r_1) = \ln(10) \approx 2.3026$) are $s_1 = 2.0\text{ m}$ and $s_2 = 0.5\text{ m}$ (difference $s_1 - s_2 = 1.5\text{ m}$). transmissivity $T$ in $\text{m}^2/\text{day}$ is (rounded off to one decimal place):

Answer Key:

293.2

Step-by-Step Solution & Explanation

$T = \frac{1200 \times 2.302585}{2 \times 3.14159 \times 1.5} = \frac{2763.1}{9.4248} = 293.17\text{ m}^2/\text{day} \approx 293.2\text{ m}^2/\text{day}$.
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