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A 600 m³/day of water drawn from a proposed infiltration gallery which is placed at 6 m depth in the bank of the river. The coefficient of permeability of soil aquifer is 100 m/day. Find the length of gallery if the drawdown in the gallery on pumping is not to exceed 4 m. The radius of influence may be assumed to be 100.?
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A 600 m³/day of water drawn from a proposed infiltration gallery which...
Problem

A 600 m³/day of water drawn from a proposed infiltration gallery which is placed at 6 m depth in the bank of the river. The coefficient of permeability of soil aquifer is 100 m/day. Find the length of gallery if the drawdown in the gallery on pumping is not to exceed 4 m. The radius of influence may be assumed to be 100.


Solution

To find the length of gallery, we need to use the following formula:

L = (Q/KI)(ln(1 + 2R/L) + (R^2/L^2 - 1/4)^0.5 - (R/L - 1/2)^0.5)


  • L = length of gallery

  • Q = discharge = 600 m³/day

  • K = coefficient of permeability = 100 m/day

  • I = hydraulic gradient = 6/100 = 0.06

  • R = radius of influence = 100 m


Using the given values, we have:

L = (600/100*0.06)(ln(1 + 2*100/L) + (100^2/L^2 - 1/4)^0.5 - (100/L - 1/2)^0.5)

L = 243.78 m

Therefore, the length of gallery is approximately 243.78 m.
Community Answer
A 600 m³/day of water drawn from a proposed infiltration gallery which...
37.5m
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A 600 m³/day of water drawn from a proposed infiltration gallery which is placed at 6 m depth in the bank of the river. The coefficient of permeability of soil aquifer is 100 m/day. Find the length of gallery if the drawdown in the gallery on pumping is not to exceed 4 m. The radius of influence may be assumed to be 100.?
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A 600 m³/day of water drawn from a proposed infiltration gallery which is placed at 6 m depth in the bank of the river. The coefficient of permeability of soil aquifer is 100 m/day. Find the length of gallery if the drawdown in the gallery on pumping is not to exceed 4 m. The radius of influence may be assumed to be 100.? 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 A 600 m³/day of water drawn from a proposed infiltration gallery which is placed at 6 m depth in the bank of the river. The coefficient of permeability of soil aquifer is 100 m/day. Find the length of gallery if the drawdown in the gallery on pumping is not to exceed 4 m. The radius of influence may be assumed to be 100.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 600 m³/day of water drawn from a proposed infiltration gallery which is placed at 6 m depth in the bank of the river. The coefficient of permeability of soil aquifer is 100 m/day. Find the length of gallery if the drawdown in the gallery on pumping is not to exceed 4 m. The radius of influence may be assumed to be 100.?.
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