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Hydrogeology University problem

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Aksuratos

Civil/Environmental
Apr 12, 2020
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Hello, fellow geoscientists !

I am trying to remember my early hydrogeology class and I somehow can not solve the following problem:
Water is passed through a water-saturated sample 30 cm high and 10 cm in diameter, filled with rock with a filtration coefficient (K) of 3.2 m / day, while the small tank of 30 ml is filled in 15 seconds.
Calculate at what point on the scale (in cm) the water level in the piezometer will be set.

In this problem, I need to apply the filtration Darcy's law and relate the piezometer h_p. Trying to figure out this relation, so I could come up with the formula.

The picture that comes along with the problem:
PS. This is Hydraulics hydrogeology problem.

Thank you for your assistance in advance !
 
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