The mathematical expression commonly used for spacing design of tile drainage system is called

This question was previously asked in
BPSC AE Paper 6 (Civil) 25 March 2022 Official Paper
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  1. V. T. Chow equation
  2. Hooghoudt equation
  3. Horton equation
  4. R. J. Garde equation

Answer (Detailed Solution Below)

Option 2 : Hooghoudt equation
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Concept:

Tile drainage is a type of drainage system that removes excess water from soil below the surface. Plants need air as well as moisture in their root zones for their survival, excess irrigation farm water is free to move into the underground tile drains, this water, if not removed, retards the plant growth because It fills the soil voids and restricts proper aeration, Therefore there is a need for Sub-surface drainage or tile drainage.

The spacing of the drains is given by the Hooghoudt equation:

\(S = \frac{{4k}}{q}\left( {{b^2} - {a^2}} \right)\)

Where,

k = Coefficient of permeability

q = discharge per unit length in the drain

a = depth of the impervious strata below the drain

b = maximum height of the drained water table above the impervious layer

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