Allied & ICAR Exam Bank • ALLIED_1205 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Well Hydraulics and Groundwater

Subtopic: Thiem's Equation for Confined Aquifer

Question Statement:

A fully penetrating well in a confined aquifer of thickness $b = 10\text{ m}$ is pumped at steady rate $Q = 0.05\text{ m}^3/\text{s}$. Two observation wells at radial distances $r_1 = 20\text{ m}$ and $r_2 = 100\text{ m}$ show drawdowns $s_1 = 3.0\text{ m}$ and $s_2 = 1.0\text{ m}$, respectively (so $s_1 - s_2 = 2.0\text{ m}$). With $\ln(5) = 1.609$, the transmissivity $T$ of the aquifer in m$^2$/s is:

Answer Key:

0.0064

Step-by-Step Solution & Explanation

$T = \frac{0.05 \times 1.6094}{2 \times \pi \times 2.0} = \frac{0.08047}{12.566} \approx 0.00640\text{ m}^2/\text{s}$.
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