The law of flow of water through the soil was first studied by ___________.

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SSC JE Civil 10 Oct 2023 Shift 1 Official Paper-I
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  1. Francis
  2. Rankine
  3. Darcy
  4. Boussinesq

Answer (Detailed Solution Below)

Option 3 : Darcy
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Explanation:

Darcy's law states that there is a linear relationship between flow velocity (v) and hydraulic gradient (i) for any given saturated soil under steady laminar flow conditions.

F1 N.M N.J 2-8-2019 D1 (1)

If the rate of flow is q (volume/time) through a cross-sectional area (A) of the soil mass, Darcy's Law can be expressed as

v = q/A = k × i

Darcy’s law is valid for fine saturated sands only.

Where

k = permeability of the soil

i = Δh /L

Δh = difference in total heads

L = length of the soil mass

Darcy law represents the statistical macroscopic equivalent of Naiver-stokes equations of motion for the viscous flow of ground water.

Additional Information

Permeability of different soil are as follows:

Soil type

Coefficient of permeability (cm/sec)

Clear gravel

1.0 and greater

Clear sand (coarse)

1.0 to 10-2

Sand

10-2 to 5 × 10-2

Fine sand

5 × 10-2 to 1 × 10-3

Silty sand

2 × 10-3 to 1 × 10-4

Silt

5 × 10-4 to 1 × 10-5

Clay

1 × 10-6 and smaller

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