Calculate the time required (in years) for water to penetrate a layer of clay that is 40 cm deep when exposed to a hydraulic gradient of 1 cm/cm. The permeability of clay is 1x10-8 cm/sec. If there is 30 cm static head of water on the clay layer, how long will it take for moisture to penetrate the 40 cm clay layer (in years)?

Respuesta :

Answer:

The time required to penetrate the 40 cm clay layer is 126.82 years

Explanation:

Given:

Hydraulic gradient = 1 [tex]\frac{cm}{cm}[/tex]

Permeability of clay [tex]K = 1 \times 10^{-8}[/tex] [tex]\frac{cm}{sec}[/tex]

Time required to penetrate 40 cm clay layer,

  [tex]= \frac{40}{K}[/tex]

  [tex]= \frac{40}{1 \times 10^{-8} }[/tex]

  [tex]= 40 \times 10^{8}[/tex] sec

But we have to find time in years,

  [tex]= \frac{40 \times 10^{8} }{24 \times 60 \times 60 \times 365}[/tex] years

  [tex]= 126.82[/tex] years

Therefore, the time required to penetrate the 40 cm clay layer is 126.82 years

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