Example Problems

Example

Example Problem 1: A constant head permeability test is performed on a sand sample.
  • Diameter = 10 cm (A=78.54cm2A = 78.54 cm^2).
  • Length = 15 cm.
  • Head difference = 30 cm.
  • Water collected in 2 minutes = 450 cm³.
Calculate the coefficient of permeability (kk).

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Example

Example Problem 2: Calculate the seepage loss under a dam if:
  • k=2×10−4 cm/sk = 2 \times 10^{-4} \, cm/s.
  • Head loss H=10 mH = 10 \, m.
  • From flow net: Nf=4N_f = 4, Nd=12N_d = 12.

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Example

Example Problem 3: A stratified soil deposit consists of three distinct parallel horizontal layers. The properties of the layers from top to bottom are:
  • Layer 1: Thickness 2.0 m2.0 \, m, Permeability 1.5×10−4 cm/s1.5 \times 10^{-4} \, cm/s
  • Layer 2: Thickness 1.5 m1.5 \, m, Permeability 3.0×10−2 cm/s3.0 \times 10^{-2} \, cm/s
  • Layer 3: Thickness 3.0 m3.0 \, m, Permeability 2.0×10−5 cm/s2.0 \times 10^{-5} \, cm/s
Calculate the equivalent hydraulic conductivity for flow parallel to the layers and for flow perpendicular to the layers.

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