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GATE 2021 ES – Question 56

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

A permeable formation has porosity20%,hydraulic gradient2%,and actual seepage velocity .0025 m/s. Assume laminar flow. Find hydraulic conductivity K in m/s, to three decimals.

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Correct answer: .024 to .026

Explanation

Darcy flux is porosity×pore velocity=.20(.0025)=.0005 m/s. Darcy’s law gives K=q/i=.0005/.02=**.025 m/s**. The source calls K permeability, but the units and Darcy relation here identify hydraulic conductivity.

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