   Chapter 7, Problem 7.23P Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section Principles of Geotechnical Enginee...

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

Refer to Figure 7.25. During an auger hole test to determine field permeability, it was observed that the water table inside the hole rose by 5 cm in 8 min, when h = 2 m. Given: diameter of the auger hole = 150 mm, length of auger hole = 4 m, and depth of the ground water table from the surface = 1 m. Estimate k. Use Eq. (7.50).

To determine

Find the value of field permeability.

Explanation

Given information:

The water table (dh) inside the hole rose at 8 min time period (dt) is 5 cm.

The hydraulic conductivity for first layer (k1) is 9×104cm/sec.

The depth value h is 2m.

The diameter of the auger hole D is 150 mm.

The length of the auger hole l is 4 m.

Depth of the ground water table from the surface dsur is 1 m.

Calculation:

Determine the depth of the hole below the water table using the relation.

d=ldsur

Substitute 4 m for l and 1 m for dsur.

d=41=3m

Determine the radius of the auger hole (rw) using the relation.

rw=D2

Substitute 150 mm for D.

rw=1502=75mm

Determine the ratio of rwd.

Substitute 75 mm for rw and 3 m for d.

rwd=753m×1,000mm1m=0.025

Determine the ratio of hd

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