You are performing a dye trace study in which you add some dye to a recharge area of the Norton Aquifer and monitor various wells drilled into the aquifer to watch for the dye to appear.You have determined that the discharge of groundwater in the Norton Aquifer is 7.5 ´ 10-⁷ m/s,and you are monitoring wells at distances of 0.5 m (Well A),2 m (Well B),and 100 m (Well C)from the recharge area.When do you expect the dye to appear at each well site?
A)Well A = ~7 days,Well B = ~30 days,and Well C = ~4 years
B)Well A = ~6 seconds,Well B = ~3 seconds,and Well C = ~133 seconds
C)Well A = ~1.5 ´ 10-6 seconds,Well B = ~3.75 ´ 10-7 seconds,and Well C = ~7.5 ´ 10-9 seconds
D)Well A = ~7 years,Well B = ~30 years,and Well C = ~4 years

Question

Quizplus · Accepted Answer

The time it takes for the dye to appear at each well site can be calculated using the equation:

T = L/Q

where T is the time, L is the distance from the recharge area to the well, and Q is the groundwater discharge rate.

For Well A:

T = 0.5 m / (7.5 × 10-⁷ m/s) = 6.67 days ≈ 7 days

For Well B:

T = 2 m / (7.5 × 10-⁷ m/s) = 26.7 days ≈ 30 days

For Well C:

T = 100 m / (7.5 × 10-⁷ m/s) = 4 years

Therefore, the best choice is A, as it accurately reflects the expected time for the dye to appear at each well site.

You Are Performing a Dye Trace Study in Which You