Chapter 7, Problem 7.19P

### 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

# For a normally consolidated clay, the following values are given.Estimate k at a void ratio of 0.97. Use Eq. (7.38).Redo Problem 7.18 using Mesri and Olson’s (1971) procedure given by Eq. (7.37).

To determine

Find the hydraulic conductivity k3 of the sand at void ratio of 0.97.

Explanation

Given information:

The hydraulic conductivity (k1) at void ratio (e1) of 0.78 is 0.45×106cm/sec.

The hydraulic conductivity (k2) at void ratio (e2) of 1.1 is 0.88×106cm/sec.

The given void ratio (e3) is 0.97.

Calculation:

Determine the experimentally derived constant A using the relation.

A=logk1logk2loge1loge2

Substitute 0.45×106cm/sec for k1, 0.88×106cm/sec for k2, 0.78 for e1, and 1.1 for e2.

A=log(0.45×106)log(0.88×106)log0.78log1.1=6.3467+6.05550

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