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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

Redo Problem 7.3 with the following information: H1 = 12 m; H2 = 2 m; H3 = 0.5 m; k = 6.3 × 10−3 cm/sec; e = 1.22; L = 52 m; and dam length = 410 m.

7.3 Seepage is occurring through the sandy layer underneath the concrete dam as shown in Figure 7.30.

images

Figure 7.30

Given: upstream water level, H1 = 16 m; downstream water level, H2 = 2.3 m; thickness of the sandy layer, H3 = 0.75 m; hydraulic conductivity of the sandy layer, k = 0.009 cm/sec; void ratio of sand, e = 0.8; and L = 45 m. Determine:

a. Rate of seepage per unit length of the dam (in m3/hr/m)

b. Seepage velocity

c. Quantity of seepage per day if the dam is 350 m long

(a)

To determine

The rate of seepage per unit length of the dam.

Explanation

Given information:

The upstream water level H1 is 12 m.

The downstream water level H2 is 2.0 m.

The thickness of the sandy layer H3 is 0.5 m.

The hydraulic conductivity of the sandy layer k is 6.3×103cm/sec.

The void ratio of sand e is 1.22

The value of length L is 52 m.

The dam length ldam is 410 m.

Calculation:

Determine the hydraulic gradient using the relation.

i=ΔhL=H1H2L (1)

Substitute 12 m for H1, 2.0 m for H2, 52 m for L.

i=122.052=0.192

Determine the rate of seepage per unit length of the dam using the relation.

q=kiA

Here, A is the area of the sandy layer

(b)

To determine

The seepage velocity.

(c)

To determine

The quantity of seepage per day.

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