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Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1 and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2 m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1 will be _______________
Correct answer is between '690,695'. Can you explain this answer?
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Two parallel canals 50 m apart fully penetrate a homogeneous unconfine...
M day-1 is present on top of the impermeable layer, what is the flux through the sediment layer?
To calculate the flux through the sediment layer, we can use Darcy's law:
Q = -K * A * dh/dl
where Q is the flux, K is the hydraulic conductivity, A is the cross-sectional area, and dh/dl is the hydraulic gradient.
First, let's calculate the hydraulic gradient:
h1 = 10 m (height of water level in upper canal)
h2 = 8.5 m (height of water level in lower canal)
d = 50 m (distance between the canals)
hydraulic gradient (dh/dl) = (h1 - h2) / d
= (10 m - 8.5 m) / 50 m
= 0.03
Next, let's calculate the cross-sectional area of the sediment layer:
A = thickness * width
= 0.04 m * 50 m
= 2 m^2
Finally, we can calculate the flux through the sediment layer:
Q = -K * A * dh/dl
= -1.2 m/day * 2 m^2 * 0.03
= -0.072 m^3/day
Note that the negative sign indicates that the flux is from the sediment layer to the aquifer.
To calculate the flux through the sediment layer, we can use Darcy's law:
Q = -K * A * dh/dl
where Q is the flux, K is the hydraulic conductivity, A is the cross-sectional area, and dh/dl is the hydraulic gradient.
First, let's calculate the hydraulic gradient:
h1 = 10 m (height of water level in upper canal)
h2 = 8.5 m (height of water level in lower canal)
d = 50 m (distance between the canals)
hydraulic gradient (dh/dl) = (h1 - h2) / d
= (10 m - 8.5 m) / 50 m
= 0.03
Next, let's calculate the cross-sectional area of the sediment layer:
A = thickness * width
= 0.04 m * 50 m
= 2 m^2
Finally, we can calculate the flux through the sediment layer:
Q = -K * A * dh/dl
= -1.2 m/day * 2 m^2 * 0.03
= -0.072 m^3/day
Note that the negative sign indicates that the flux is from the sediment layer to the aquifer.
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Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer?
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Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer?.
Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3m day-1and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of 1.2 × 10-2m day-1 is ultimately deposited on the inflow face, the groundwater discharge per 1000m width between the two canals in m3 day-1will be _______________Correct answer is between '690,695'. Can you explain this answer?.
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