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GATE 2022 ES – Question 57

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

Reservoir levels differ20 m across a 2 km long,5 m thick confined aquifer. K=.003 m/s, porosity .3. Find advective contaminant travel time in days, to one decimal.

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Correct answer: 230.0 to 233.0

Explanation

Hydraulic gradient=20/2000=.01. Darcy flux=Ki=.00003 m/s. Pore velocity=flux/porosity=.0001 m/s. Travel time=2000/.0001=20000000 s=**231.5 days**. Thickness affects total discharge but cancels from advective travel velocity.

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