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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

A pervious soil layer is sandwiched between two impervious layers as shown in Figure 7.31. Find the rate of flow in m3/sec/m (at right angles to the cross section) through the pervious soil layer. Given: H = 3.5 m, H1 = 1.75 m, h = 2.5 m, S = 28 m, α = 12°, and k = 0.055 cm/sec.

images

Figure 7.31

To determine

Find the rate of flow in m3/sec/m.

Explanation

Given information:

The height of the impervious layer H is 3.5 m.

The height of pervious soil layer H1 is 1.75 m.

The hydraulic conductivity of the permeable soil layer k is 0.055cm/sec.

The horizontal distance between the observation well S is 28 m.

The height difference in the water table h is 2.5 m.

The angle value α is 12°.

Calculation:

Determine the hydraulic gradient using the relation.

i=hScosα

Substitute 2.5 m for h, 28 m for S, and 12° for α.

i=2.528cos12°=0.0873

Determine the rate of flow using the relation.

q=kiA=ki(H1cosα×1)

Here, A is the area of the permeable layer

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