You are attempting to calculate the discharge of groundwater in the Marshak Aquifer.The measured the height of the water table in Well A is 300 m and 175 m in Well B,and the wells are 15,000 m apart.The Marshak Aquifer is composed of fine-grained sandstone with a hydraulic conductivity of 3 ´ 10-⁵ m/s,and a cross-sectional area of 2 m².Calculate the discharge of the Marshak Aquifer.
A)0.5 ´ 10-7 m/s
B)6.0 ´ 105 m/s
C)5.0 ´ 105 m/s
D)5.0 ´ 10-7 m/s

Question

You are attempting to calculate the discharge of groundwater in the Marshak Aquifer.The measured the height of the water table in Well A is 300 m and 175 m in Well B,and the wells are 15,000 m apart.The Marshak Aquifer is composed of fine-grained sandstone with a hydraulic conductivity of 3 ´ 10-⁵ m/s,and a cross-sectional area of 2 m².Calculate the discharge of the Marshak Aquifer.
A)0.5 ´ 10-7 m/s
B)6.0 ´ 105 m/s
C)5.0 ´ 105 m/s
D)5.0 ´ 10-7 m/s

Quizplus · Accepted Answer

We can use Darcy's Law to calculate the discharge of the Marshak Aquifer:

Q = K × A × Δh / L

where Q is the discharge (m^3/s), K is the hydraulic conductivity (m/s), A is the cross-sectional area (m^2), Δh is the difference in water table height (m), and L is the distance between the wells (m).

Plugging in the values:

Q = (3 × 10^-5 m/s) × (2 m^2) × (300 m - 175 m) / 15,000 m

Q = 5.0 × 10^5 m^3/s

Therefore, the best choice is C) 5.0 ´ 10^5 m/s.

You Are Attempting to Calculate the Discharge of Groundwater in the Marshak