The GATE Grind

GATE 2026 AG – Question 61

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

A well fully penetrates a 30 m thick confined aquifer and pumps steadily at $.06\,\mathrm{m^3/s}$. Drawdowns are 3.6 m and 2.0 m at radii 60 m and 120 m. If hydraulic conductivity is $n\times10^{-4}$ m/s, find n, to two decimals.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 1.36 to 1.39

Explanation

Thiem’s confined-aquifer equation is $Q=2\pi Kb(s_1-s_2)/\ln(r_2/r_1)$. Hence $$K=\frac{.06\ln(120/60)}{2\pi(30)(3.6-2.0)}\approx1.3790\times10^{-4}\ \mathrm{m/s}.$$ Therefore **n=1.38**. The radius ratio and drawdown difference refer to the two observation wells, so the pumping-well radius is unnecessary.

More Groundwater Hydrology questions

All Groundwater Hydrology questions →