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Hydrology & Irrigation

Yield of a Confined Aquifer

A well diamet...

Question

A well diameter 30 cm fully penetrated a confined aquifer of 25 m thick. After a long period of pumping at a steady state, the observations drawdown taken at 25 m and 75 meters distances from the centre of the main well are found to be 5 m and 1.5 m respectively. If the coefficient of permeability of the aquifer is 12 m/day, the steady state discharge from the main well would be ____ liter/min.
4170.25

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Solution

The correct option is A 4170.25
$Q = \frac{2 π K B (S_{1} - S_{2})}{l n (\frac{r_{2}}{r_{1}})}$

$Q = \frac{2 π {12 \times 25} {5 - 1.5}}{l n (\frac{75}{25})}$

$Q = 6005.162 m^{3} / d a y$

$Q = 4170.25 l / m i n$

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