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Determination of Coefficient of Permeability

A 30 cm diame...

Question

A 30 cm diameter well completely penetrates a confined aquifer of uniform thickness 30 m as shown in the below figure.

If steady stage discharge from the well is 3520 litres/min, coefficient of permeability would be m/day.

A

8.44

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B

3.29

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C

5.0

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D

11.12

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Solution

The correct option is A 8.44
$r_{1} = 25 m$ $S_{1} = 5 m$ $Q = 3520 l / m i n$

$r_{2} = 75 m$ $S_{2} = 1.5 m$ $B = 30 m$

$Q = \frac{2 π T (S_{1} - S_{2})}{l n (r_{2} / r_{1})}$

$\frac{3520 \times 10^{- 3}}{1 / (24 \times 60)} = \frac{2 π T (5 - 1.5)}{l n (75 / 25)}$

$T = 253.22 m^{2} / d a y$

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