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Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.
- a)0.0345 m/sec
- b)0.0226 m/sec
- c)1.345 m/sec
- d)1.121 m/sec
Correct answer is option 'A'. Can you explain this answer?
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Determine the coefficient of permeability of a confined aquifer 6m th...
Discharge q = 20 liters/sec
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radius of influence R = 300 m
thick b = 6m
radius r = 0.5 m
confined aquifer
k = 0.0345 m/sec
Hence the correct answer is option A.
Most Upvoted Answer
Determine the coefficient of permeability of a confined aquifer 6m th...
Calculation of Coefficient of Permeability of Confined Aquifer
Given data:
Thickness of confined aquifer, h = 6 m
Steady discharge through well, Q = 20 L/s
Radius of well, r = 0.5 m
Initial water level, H1 = 12 m
Final water level, H2 = 8 m
Radius of influence, R = 300 m
Step 1: Calculation of Transmissivity
The transmissivity of the confined aquifer is given by the formula:
T = Kh
where K is the hydraulic conductivity and h is the thickness of the aquifer.
Given that h = 6 m, we need to find K.
Step 2: Calculation of Radius of Influence
The radius of influence of the pumping well is given by the formula:
R = 0.28 * (T/Q) ^ 0.5
where T is the transmissivity and Q is the steady discharge through the well.
Given that R = 300 m, we can rearrange the formula to find T:
T = Q ^ 2 * (R/0.28) ^ 2
Step 3: Calculation of Coefficient of Permeability
The coefficient of permeability of the confined aquifer is given by the formula:
K = T/h
where T is the transmissivity and h is the thickness of the aquifer.
Using the values calculated in Steps 1 and 2, we get:
T = 116640 m^2/day
K = T/h = 116640 / (6 * 86400) = 0.0345 m/s
Therefore, the coefficient of permeability of the confined aquifer is 0.0345 m/s, which is option A.
Given data:
Thickness of confined aquifer, h = 6 m
Steady discharge through well, Q = 20 L/s
Radius of well, r = 0.5 m
Initial water level, H1 = 12 m
Final water level, H2 = 8 m
Radius of influence, R = 300 m
Step 1: Calculation of Transmissivity
The transmissivity of the confined aquifer is given by the formula:
T = Kh
where K is the hydraulic conductivity and h is the thickness of the aquifer.
Given that h = 6 m, we need to find K.
Step 2: Calculation of Radius of Influence
The radius of influence of the pumping well is given by the formula:
R = 0.28 * (T/Q) ^ 0.5
where T is the transmissivity and Q is the steady discharge through the well.
Given that R = 300 m, we can rearrange the formula to find T:
T = Q ^ 2 * (R/0.28) ^ 2
Step 3: Calculation of Coefficient of Permeability
The coefficient of permeability of the confined aquifer is given by the formula:
K = T/h
where T is the transmissivity and h is the thickness of the aquifer.
Using the values calculated in Steps 1 and 2, we get:
T = 116640 m^2/day
K = T/h = 116640 / (6 * 86400) = 0.0345 m/s
Therefore, the coefficient of permeability of the confined aquifer is 0.0345 m/s, which is option A.
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Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer?
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Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer?.
Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the coefficient of permeability of a confined aquifer 6m thick which gives a steady discharge of 20 liters/sec through a well of 0.5 m radius. The height of water in the well, which was 12 m above the base before pumping, dropped to 8 m. Take the radius of influence as 300 m.a)0.0345 m/secb)0.0226 m/secc)1.345 m/secd)1.121 m/secCorrect answer is option 'A'. Can you explain this answer?.
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