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GATE 2023 ES – Question 54

Water Resources and Environmental Hydraulics · Groundwater Resources · 2 marks · Numerical answer

A confined aquifer has thickness16 m, K25 m/day and a fully penetrating well pumping.1 m³/s at steady state. Drawdown at 75 m is 3.5 m. Find drawdown at 150 m, in m, to two decimals.

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Correct answer: 1.00 to 1.15

Explanation

Convert flow to 8640 m³/day. The confined Thiem difference is $s_1-s_2=Q\ln(r_2/r_1)/(2\pi Kb)=8640\ln2/[2\pi(25)(16)]=2.3828645$ m. Thus $s_2=3.5-2.3828645=1.1171355$ m, rounded **1.12 m**. The farther observation point has smaller drawdown.

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