Chapter 8, Problem 8.12P

### Principles of Geotechnical Enginee...

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

Chapter
Section

### Principles of Geotechnical Enginee...

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

# An earth dam section is shown in Figure 8.28. Determine the rate of seepage through the earth dam using Pavlovsky’s solution. Use k = 4 × 10–5 mm/s.

To determine

Find the seepage rate through the earth dam using Pavlovsky’s solution.

Explanation

Given information:

The height of the water level H is 32 m.

The height of the earth dam Hd is 35 m.

The length of earth dam top B is 7 m.

The hydraulic conductivity of the permeable soil layer k is 4×105mm/s.

Calculation:

Determine the value of α using the relation.

tanα=VH

Here, V is the vertical distance in the slope and H is the horizontal distance in the slope.

Substitute 1 for V and 2 for H.

tanα=12α=tan1(0.5)α=26.57°

Determine the distance h2 value using the relation.

h2=Bcotα+Hd(Bcotα+Hd)2h12

Substitute 7 m for B, 26.57° for α, and 35 m for Hd.

h2=7cot26.57°+35(7cot26.57°+35)2h12=7tan26.57°+35(7tan26.57°+35)2h12=38.51,482.3h12 (1)

Determine the value of h2 using the relation.

Hh1cotβlnHdHdh1=h2cotα

Substitute 32 m for H, 26.57° for β, 35 m for Hd, (38.51,482.3h12) for h2, and 26.57° for α.

32h1cot26

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