An aquifer has a cross-sectional area of 1000 m² and a hydraulic gradient of 0.01. If water is flowing from the aquifer at a rate of 10 m³/sec, the hydraulic conductivity (in m/sec) of the aquifer is .............
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Correct Answer: 1
Solution and Explanation
Step 1: Use Darcy's law.
Darcy's law for groundwater flow is given by the equation:
\[
Q = K \times A \times i
\]
Where:
- \( Q = 10 \, \text{m}^3/\text{sec} \) (flow rate)
- \( A = 1000 \, \text{m}^2 \) (cross-sectional area)
- \( i = 0.01 \) (hydraulic gradient)
We need to find \( K \), the hydraulic conductivity. Rearranging the equation:
\[
K = \frac{Q}{A \times i}
\]
Substituting the values:
\[
K = \frac{10}{1000 \times 0.01} = \frac{10}{10} = 1 \, \text{m/sec}
\]
Thus, the hydraulic conductivity of the aquifer is 1 m/sec.
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