a spill of hazardous chemical has occurred on a road parallel to a river. Two ro

Question

a spill of hazardous chemical has occurred on a road parallel to a river. Two rows of wells were installed parallel to the road/river. The hydraulic head of all wells in row 1 is 200m and in row 2 is 150m. The contaminated water is flowing from the spill site toward the river. The wells of row 2 are planned to be used to pump the contaminated water away so that it does not reach the river. The pump rate must be at least as high as the rate of groundwater flow toward the river.

Calculate the flow rate using Darcy's Law. The hydraulic conductivity is (1x10^-3 m/s) the distance between the two rows of wells is 2000m, the thickness of the aquifer is 100m and the width of the aquifer is 1000m.

Explanation / Answer

Q = A k (h2 -h1) /L

A = 100 m x 1000m , K = (1 x 10 -3 m/s) , h2 = (150 m) , h1 = (200m) ,

L = distance between the wells (2000m)

Q = (100m x 1000m) (1 x 10 -3 m/s) (150 m - 200m) / 2000m

= 2.5 m3/s

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