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Flow through a 500 m wide section of that aquifer, at transmissivity 750 m\( ^2 \)/day and gradient 0.002, is

  • A.750 m\( ^3 \)/day
  • B.75 m\( ^3 \)/day
  • C.7500 m\( ^3 \)/day
  • D.1.5 m\( ^3 \)/day

Answer: A

Correct answer: 750 m\( ^3 \)/day

The discharge through a width \( W \) of aquifer is

\[ Q = TiW = 750 \times 0.002 \times 500 = 750 \ \mathrm{m^3/day} \]

which is the Darcy law written for the whole saturated thickness. Note that the transmissivity has already absorbed the thickness, so the aquifer depth must not be brought in again.

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