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A flownet for an earth dam on imperviousfoundation consists of 4 flow channels and 15 equipotential drops. The fall reservoir level is15m above the downstream horizontal permeability is 9×10-6m/s and verticalpermeability is 1×10-6m/ s , The quantity ofseepage through the dam will be
  • a)
    36 ml/s/m
  • b)
    25ml/s/m
  • c)
    20ml/s/m
  • d)
    12ml/s/m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A flownet for an earth dam on imperviousfoundation consists of 4 flow ...
Given Data
The flownet for an earth dam on impervious foundation consists of:
- 4 flow channels
- 15 equipotential drops
- Fall reservoir level: 15m above the downstream
- Horizontal permeability: 9.10^-6 m/s
- Vertical permeability: 1.10^-6 m/s

To find
The quantity of seepage through the dam

Solution
1. Determine the hydraulic gradient
- Hydraulic gradient (i) = Total head loss / Flow length
- Total head loss = Upstream head - Downstream head = 15m
- Flow length = Distance between the two consecutive equipotential drops
- Flow length = (1/2) * channel width
- Channel width = Distance between two consecutive flow channels
- Channel width = Total width / (Number of channels + 1)
- Total width = Distance between the two consecutive equipotential drops in the first and last row
- Total width = (Distance between the two consecutive equipotential drops in the first row + Distance between the two consecutive equipotential drops in the last row) / 2
- Distance between the two consecutive equipotential drops = Distance between two consecutive flow lines
- Distance between two consecutive flow lines = (1/2) * equipotential drop spacing
- Equipotential drop spacing = Total head / (Number of equipotential drops - 1)
- Number of equipotential drops = 15
- Number of channels = 4
- Solving all the above equations, we get:
Total width = 13.5m
Channel width = 3m
Distance between two consecutive equipotential drops = 1.5m
Equipotential drop spacing = 1m
Flow length = 1.5m
Hydraulic gradient (i) = 15 / (4 * 1.5) = 2.5

2. Determine the seepage velocity
- Seepage velocity (v) = i * K
- K = Average permeability = (Horizontal permeability + Vertical permeability) / 2
- K = (9.10^-6 + 1.10^-6) / 2 = 5.5.10^-6 m/s
- Solving the above equation, we get:
Seepage velocity (v) = 2.5 * 5.5.10^-6 = 13.75.10^-6 m/s

3. Determine the quantity of seepage
- Quantity of seepage (q) = Flow area * Seepage velocity
- Flow area = Total width * (Fall reservoir level - Upstream head)
- Flow area = 13.5 * 15 = 202.5 m^2
- Solving the above equation, we get:
Quantity of seepage (q) = 202.5 * 13.75.10^-6 = 0.00279 m^3/s
- Quantity of seepage per unit length (q/L) = q / Flow length
- q/L = 0.00279 / 1.5 = 0.00186 m^3/s/m
- Converting m^3/s/m to ml/s/m, we get:
q/L = 1.86 ml/s
Free Test
Community Answer
A flownet for an earth dam on imperviousfoundation consists of 4 flow ...
Equivalent permeability.

ke =sq root ( kx * ky) =3 * 10^6 m/s.

Seepage q= ke x H x Nf/Nd.
= 12 x 10-6m3/s/m.
=12ml/s/m.
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A flownet for an earth dam on imperviousfoundation consists of 4 flow channels and 15 equipotential drops. The fall reservoir level is15m above the downstream horizontal permeability is 9×10-6m/s and verticalpermeability is 1×10-6m/ s , The quantity ofseepage through the dam will bea)36 ml/s/mb)25ml/s/mc)20ml/s/md)12ml/s/mCorrect answer is option 'D'. Can you explain this answer?
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A flownet for an earth dam on imperviousfoundation consists of 4 flow channels and 15 equipotential drops. The fall reservoir level is15m above the downstream horizontal permeability is 9×10-6m/s and verticalpermeability is 1×10-6m/ s , The quantity ofseepage through the dam will bea)36 ml/s/mb)25ml/s/mc)20ml/s/md)12ml/s/mCorrect answer is option 'D'. 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 A flownet for an earth dam on imperviousfoundation consists of 4 flow channels and 15 equipotential drops. The fall reservoir level is15m above the downstream horizontal permeability is 9×10-6m/s and verticalpermeability is 1×10-6m/ s , The quantity ofseepage through the dam will bea)36 ml/s/mb)25ml/s/mc)20ml/s/md)12ml/s/mCorrect answer is option 'D'. 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 A flownet for an earth dam on imperviousfoundation consists of 4 flow channels and 15 equipotential drops. The fall reservoir level is15m above the downstream horizontal permeability is 9×10-6m/s and verticalpermeability is 1×10-6m/ s , The quantity ofseepage through the dam will bea)36 ml/s/mb)25ml/s/mc)20ml/s/md)12ml/s/mCorrect answer is option 'D'. Can you explain this answer?.
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