Chapter 7, Problem 7.4P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Redo Problem 7.3 with the following information: *H*_{1} = 12 m; *H*_{2} = 2 m; *H*_{3} = 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.

**Figure 7.30**

Given: upstream water level, *H*_{1} = 16 m; downstream water level, *H*_{2} = 2.3 m; thickness of the sandy layer, *H*_{3} = 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 m^{3}/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

The downstream water level

The thickness of the sandy layer

The hydraulic conductivity of the sandy layer *k* is

The void ratio of sand *e* is 1.22

The value of length *L* is 52 m.

The dam length

Calculation:

Determine the hydraulic gradient using the relation.

Substitute 12 m for *L*.

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

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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