A sand sample of  cross-sectional area and 20 cm long was tested in a constant head permeameter. Under a head of 60 cm , the discharge was 120 ml in 6 min . The dry weight of sand used for the test was 1120 g , and  Determine the seepage velocity.

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Detailed Solution

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Concept:

Seepage velocity is related to Darcy’s velocity (discharge velocity, v) and porosity (n):

Calculation:

Given Data:

  • Cross-sectional area (A) = 35 cm² = 35 × 10⁻⁴ m²

  • Length of specimen (L) = 20 cm = 0.2 m

  • Head (h) = 60 cm = 0.6 m

  • Discharge (Q) = 120 ml in 6 min
    → Q = 120 ml = 120 × 10⁻⁶ m³ in 6 min
    → Time = 6 min = 360 sec
    Q/sec = (120 × 10⁻⁶) / 360 = 3.33 × 10⁻⁷ m³/sec

  • Dry weight of sand (Wd) = 1120 g = 1.12 kg

  • G (specific gravity) = 2.68

Discharge Velocity: 

Volume of specimen = A × L = 

Volume of voids: 

Void volume = Total volume − Volume of solids = 2.821 x 10-4 m3

Porosity: 

Seepage Velocity: 

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