Principles of Geotechnical Enginee...

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



Principles of Geotechnical Enginee...

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

A layered soil is shown in Figure 7.33. Given:

H1 = 1.5 m k1 = 9 × 104 cm/sec

H2 = 2.5 m k2 = 7.8 × 10−3 cm/sec

H3 = 3.5 m k3 = 4.5 × 10−5 cm/sec

Estimate the ratio of equivalent permeability, kH(eq)/kV(eq).


Figure 7.33

To determine

Find the ratio of equivalent permeability kH(eq)kV(eq).


Given information:

The depth of first layer H1 is 1.5 cm.

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

The depth of second layer H2 is 2.5 cm.

The hydraulic conductivity (k2) second layer is 7.8×103cm/sec.

The depth of third layer H3 is 3.5 cm.

The hydraulic conductivity (k3) third layer is 4.5×105cm/sec.


Determine the hydraulic conductivity in the horizontal direction using the relation.


Here, H is the total depth of the soil layer.

Substitute 7.5 cm for H, 9×104cm/sec for k1, 1.5 cm for H1, 7.8×103cm/sec for k2, 2.5 cm for H2, 3.5 cm for H3, and 4.5×105cm/sec for k1.


Determine the hydraulic conductivity in the vertical direction using the relation.


Substitute 7

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