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A flownet constructed to determine the seepage through an earth dam which is homogenous but anisotropic, gave four flow channels and sixteen equipotential drops. The coefficients of permeability in the horizontal and vertical directions are 4 × 10–7 m/s and 1.0 × 10–7 m/s, respectively. If the storage head was 20 m, then the seepage per unit length of the dam (in m3/s) would be
  • a)
    5 × 10–7
  • b)
    10 × 10–7
  • c)
    20 × 10–17
  • d)
    40 × 10–7
Correct answer is option 'B'. Can you explain this answer?
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Given data:
- Homogenous but anisotropic earth dam
- Four flow channels and sixteen equipotential drops
- Coefficient of permeability in horizontal direction = 4*10^7 m/s
- Coefficient of permeability in vertical direction = 1*10^7 m/s
- Storage head = 20 m

To find: Seepage per unit length of the dam (in m^3/s)

Solution:
1. Determine the hydraulic gradient (i) along each flow channel using the equipotential drops and the distance between them.
2. Calculate the seepage velocity (q) for each flow channel using Darcy's law:

q = KiA

where K is the coefficient of permeability, i is the hydraulic gradient, and A is the cross-sectional area of flow.
3. Sum up the seepage velocities for all flow channels to get the total seepage velocity (Q) per unit length of the dam:

Q = q1 + q2 + q3 + q4

4. Calculate the seepage per unit length of the dam using the total seepage velocity and the storage head:

Seepage = Q * storage head

Substituting the given values, we get:

i1 = (20-0)/4 = 5 m/m
i2 = (20-4)/4 = 4 m/m
i3 = (20-8)/4 = 3 m/m
i4 = (20-12)/4 = 2 m/m

q1 = 4*10^7 * 5 * 1 = 2*10^8 m^3/s
q2 = 4*10^7 * 4 * 1 = 1.6*10^8 m^3/s
q3 = 1*10^7 * 3 * 1 = 3*10^7 m^3/s
q4 = 1*10^7 * 2 * 1 = 2*10^7 m^3/s

Q = q1 + q2 + q3 + q4 = 4.6*10^8 m^3/s

Seepage = Q * storage head = 9.2*10^9 m^3/s

Therefore, the seepage per unit length of the dam is 10*10^7 m^3/s (option B).
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A flownet constructed to determine the seepage through an earth dam which is homogenous but anisotropic, gave four flow channels and sixteen equipotential drops. The coefficients of permeability in the horizontal and vertical directions are 4 × 10–7 m/s and 1.0 × 10–7 m/s, respectively. If the storage head was 20 m, then the seepage per unit length of the dam (in m3/s) would bea)5 × 10–7b)10 × 10–7c)20 × 10–17d)40 × 10–7Correct answer is option 'B'. Can you explain this answer?
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A flownet constructed to determine the seepage through an earth dam which is homogenous but anisotropic, gave four flow channels and sixteen equipotential drops. The coefficients of permeability in the horizontal and vertical directions are 4 × 10–7 m/s and 1.0 × 10–7 m/s, respectively. If the storage head was 20 m, then the seepage per unit length of the dam (in m3/s) would bea)5 × 10–7b)10 × 10–7c)20 × 10–17d)40 × 10–7Correct answer is option 'B'. 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 constructed to determine the seepage through an earth dam which is homogenous but anisotropic, gave four flow channels and sixteen equipotential drops. The coefficients of permeability in the horizontal and vertical directions are 4 × 10–7 m/s and 1.0 × 10–7 m/s, respectively. If the storage head was 20 m, then the seepage per unit length of the dam (in m3/s) would bea)5 × 10–7b)10 × 10–7c)20 × 10–17d)40 × 10–7Correct answer is option 'B'. 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 constructed to determine the seepage through an earth dam which is homogenous but anisotropic, gave four flow channels and sixteen equipotential drops. The coefficients of permeability in the horizontal and vertical directions are 4 × 10–7 m/s and 1.0 × 10–7 m/s, respectively. If the storage head was 20 m, then the seepage per unit length of the dam (in m3/s) would bea)5 × 10–7b)10 × 10–7c)20 × 10–17d)40 × 10–7Correct answer is option 'B'. Can you explain this answer?.
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