GATE AG 2017 • Q14 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Soil Mechanics

Subtopic: Permeability and seepage analysis

Question Statement:

The seepage analysis in earthen dams is carried out by drawing flownet which consists of equipotential and stream lines. For a homogeneous and isotropic earthen dam, these two lines are always

Options:

  • (A) orthogonal to each other
  • (B) parallel to each other
  • (C) divergent to each other
  • (D) convergent to each other

Official Answer Key:

A

Step-by-Step Solution & Explanation

• In a homogeneous, isotropic seepage medium, flow follows Laplace’s equation, and the family of streamlines (paths of flow) and the family of equipotential lines (constant total head) form an orthogonal curvilinear net — every streamline crosses every equipotential line at 90°. • This orthogonality is the basis of flownet construction (curvilinear squares) used to estimate seepage discharge and exit gradients in earthen dams. • Final Answer: (A) orthogonal to each other

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