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2. Two piezometers have been placed along the direction of flow in a confined aquifer that is 30.0 m thick. The piezometers are 280 m apart. The difference in piezometer head between the two is 1.4 m. The aquifer hydraulic conductivity is 50 m/day, and the aquifer is composed of soil with a porosity of 30%. Estimate the travel time for water to flow between the two piezometers.

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Answer

given,

thickness of the aquifer = 30 m

distance between the piezometer = 280 m

head difference between them  = 1.4 m

n = 0.3

K= 50 m/day

using Darcy's law

[tex]v = k \dfrac{dh}{dl}[/tex]

[tex]v = 50\times  \dfrac{1.4}{280}[/tex]

v = 0.25 m/day

average linear velocity

[tex]v = \dfrac{v}{n}[/tex]

[tex]v = \dfrac{0.25}{0.3}[/tex]

  v = 0.833 m/day

time to travel

=  [tex]\dfrac{280}{0.833}[/tex]

= 336 days

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