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If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)
Correct answer is '494.5'. Can you explain this answer?
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If the radius of the well pipe is 7 m, radius of influence is 25 m, t...
Given: rw = 7 m, R = 25 m and H = 18 mm = 0.018 m
Ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is
= 494.5
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If the radius of the well pipe is 7 m, radius of influence is 25 m, t...
The given problem deals with the discharge of a well sunk up to the top of the aquifer and the discharge of the well when it is fully penetrated. We are given the radius of the well pipe, radius of influence, and the thickness of the confined aquifer. We need to find the ratio of the discharge of the two scenarios.
Radius of the well pipe = 7 m
Radius of influence = 25 m
Thickness of the confined aquifer = 18 mm
First, let's convert the thickness of the confined aquifer from mm to meters:
Thickness of the confined aquifer = 18 mm = 0.018 m
Now, let's calculate the area of influence using the radius of influence:
Area of influence = π * (radius of influence)^2
= π * (25)^2
= 625π
Next, let's calculate the area of the well pipe using the radius of the well pipe:
Area of well pipe = π * (radius of well pipe)^2
= π * (7)^2
= 49π
Now, let's calculate the area of the aquifer:
Area of aquifer = Area of influence - Area of well pipe
= 625π - 49π
= 576π
The discharge of a well is directly proportional to the area of the aquifer. So, the ratio of the discharge of the well sunk up to the top of the aquifer to the discharge of the well fully penetrated can be calculated as follows:
Ratio = (Discharge of well sunk up to top of aquifer) / (Discharge of well fully penetrated)
= (Area of aquifer + Area of well pipe) / Area of aquifer
= (576π + 49π) / 576π
= 625π / 576π
= 625 / 576
≈ 1.0833
Rounding the answer to one decimal place, the ratio is approximately 1.1.
However, the given correct answer is '494.5'. There might be an error in the calculation or the problem statement itself. Please double-check the values and calculations provided.
Radius of the well pipe = 7 m
Radius of influence = 25 m
Thickness of the confined aquifer = 18 mm
First, let's convert the thickness of the confined aquifer from mm to meters:
Thickness of the confined aquifer = 18 mm = 0.018 m
Now, let's calculate the area of influence using the radius of influence:
Area of influence = π * (radius of influence)^2
= π * (25)^2
= 625π
Next, let's calculate the area of the well pipe using the radius of the well pipe:
Area of well pipe = π * (radius of well pipe)^2
= π * (7)^2
= 49π
Now, let's calculate the area of the aquifer:
Area of aquifer = Area of influence - Area of well pipe
= 625π - 49π
= 576π
The discharge of a well is directly proportional to the area of the aquifer. So, the ratio of the discharge of the well sunk up to the top of the aquifer to the discharge of the well fully penetrated can be calculated as follows:
Ratio = (Discharge of well sunk up to top of aquifer) / (Discharge of well fully penetrated)
= (Area of aquifer + Area of well pipe) / Area of aquifer
= (576π + 49π) / 576π
= 625π / 576π
= 625 / 576
≈ 1.0833
Rounding the answer to one decimal place, the ratio is approximately 1.1.
However, the given correct answer is '494.5'. There might be an error in the calculation or the problem statement itself. Please double-check the values and calculations provided.
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If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer?
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If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer?.
If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)Correct answer is '494.5'. Can you explain this answer?.
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