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GATE 2020 AG – Question 42

Irrigation and Drainage Engineering · Groundwater Hydrology · 2 marks · Multiple choice

A 40 cm tubewell penetrates a 10 m confined aquifer with conductivity25 m/day. Piezometric height at radius500 m is40 m and well drawdown30 m. If aquifer thickness doubles and well diameter halves, with other conditions fixed, how does discharge change? Use π=3.14.

  1. Increases83.72%
  2. Decreases83.72%
  3. Increases82.28%
  4. Decreases82.28%

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Correct answer: (A) Increases83.72%

Explanation

Confined steady well flow scales as b/ln(R/rw). Initially rw=0.20 m; finally rw=0.10 m and b doubles. Ratio Q₂/Q₁=2 ln(500/0.20)/ln(500/0.10)=1.8372. Thus discharge increases83.72%, A. Conductivity and drawdown cancel in the ratio.

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