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GATE 2021 AG – Question 60

Irrigation and Drainage Engineering · Groundwater Hydrology · 2 marks · Numerical answer

Fully penetrating wells1.4 km apart in a homogeneous confined aquifer differ4 m in piezometric head. Flow is steady and unidirectional, K=3.5 m/day, effective porosity40%. Find advective travel time between wells in days as an integer.

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Correct answer: 56000 to 56000

Explanation

Gradient=4/1400. Darcy flux=3.5(4/1400)=.01 m/day. Actual pore velocity=.01/.40=.025 m/day. Time=1400/.025=**56000 days**. Dividing by porosity is essential because Darcy flux is based on the full bulk cross-section.

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