4. A canal is cut into a soil with a stratigraphy shown in the figure below. A flow takes place laterally and vertically through the sides of the canal and below the canal, determine: 1 m k = 2.3 x 10° cm/s Canal 3 m 1.5 m k= 5.2 x 10 cm/s k= 2.0 x 10 cm/s 2 m k= 0.3 x 10 cm/s 1.2 m k = 0.8 x 10° cm/s 3 m Equivalent hydraulic conductivity equations for stratified soil masses: H ky kH H 'H The equivalent hydraulic conductivity in the horizontal direction for the sides of the canal. (a) The equivalent hydraulic conductivity in the vertical direction for the sides of the canal. (b) Calculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent vertical hydraulic conductivity for flow through the sides of the canal. (c) Explain the physical meaning of the ratio for the (d) horizontal to vertical hydraulic conductivities calculated for the previous question. The equivalent hydraulic conductivity in the vertical direction for below the bottom of the canal. (e)

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter3: Weight–volume Relationships
Section: Chapter Questions
Problem 3.24P
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4. A canal is cut into a soil with a stratigraphy shown in the figure below. A
flow takes place laterally and vertically through the sides of the canal and ▪
below the canal, determine:
k = 2.3 x 10* cm/s
Canal
1 m
3 m
1.5 m
k = 5.2 x 10° cm/s
k = 2.0 x 10° cm/s
2 m
1.2 m
k = 0.3 x 10" cm/s
k = 0.8 x 10° cm/s
3 m
Equivalent hydraulic conductivity equations for stratified soil masses:
H
ky
kH
H
The equivalent hydraulic conductivity in the
horizontal direction for the sides of the canal.
(a)
The equivalent hydraulic conductivity in the
(b)
vertical direction for the sides of the canal.
Calculate the ratio of the equivalent horizontal
hydraulic conductivity to the equivalent vertical
hydraulic conductivity for flow through the sides of
the canal.
(c)
Explain the physical meaning of the ratio for the
(d)
horizontal to vertical hydraulic conductivities
calculated for the previous question.
The equivalent hydraulic conductivity in the
vertical direction for below the bottom of the canal.
(e)
Transcribed Image Text:4. A canal is cut into a soil with a stratigraphy shown in the figure below. A flow takes place laterally and vertically through the sides of the canal and ▪ below the canal, determine: k = 2.3 x 10* cm/s Canal 1 m 3 m 1.5 m k = 5.2 x 10° cm/s k = 2.0 x 10° cm/s 2 m 1.2 m k = 0.3 x 10" cm/s k = 0.8 x 10° cm/s 3 m Equivalent hydraulic conductivity equations for stratified soil masses: H ky kH H The equivalent hydraulic conductivity in the horizontal direction for the sides of the canal. (a) The equivalent hydraulic conductivity in the (b) vertical direction for the sides of the canal. Calculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent vertical hydraulic conductivity for flow through the sides of the canal. (c) Explain the physical meaning of the ratio for the (d) horizontal to vertical hydraulic conductivities calculated for the previous question. The equivalent hydraulic conductivity in the vertical direction for below the bottom of the canal. (e)
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