A canal is cut into a soil with a stratigraphy as shown in the figure. Assume flow takesplace laterally and vertically through the sides of the canal and vertically below the canal.The values of k= kx= kz in each layer are given.1.0 m 0k- 2.3 x 10 cm/s1.5 m Tk = 5.2 x 10 cm/s3.0 m2.0 mk = 2 x 1o“ cm/s1.2 m Ik - 0.3 x 10 cm/s3.0 mk = 0.8 x 10° cm/sa) Calculate the horizontal equivalent permeability of the canal in cm/day.b) Calculate the vertical equivalent permeability of the canal in cm/day.c) Determine the equivalent permeability in the vertical directions below the bottom ofthe canal in cm/day.

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A canal is cut into a soil with a stratigraphy as shown in the figure. Assume flow takes place laterally and vertically through the sides of the canal and vertically below the canal. The values of k= kx= kz in each layer are given. k 2.3 x 10 cm/s k = 5.2 x 10 cm/s 1.0 m 0 3.0 m 1.5 m T 2.0 m k = 2 x 1o cm/s 1.2 m I k - 0.3 x 10 cm/s 3.0 m k = 0.8 x 10 cm/s a) Calculate the horizontal equivalent permeability of the canal in cm/day. b) Calculate the vertical equivalent permeability of the canal in cm/day. c) Determine the equivalent permeability in the vertical directions below the bottom of the canal in cm/day.

A canal is cut into a soil with a stratigraphy as shown in the figure. Assume flow takes place laterally and vertically through the sides of the canal and vertically below the canal. The values of k= kx= kz in each layer are given. k 2.3 x 10 cm/s k = 5.2 x 10 cm/s 1.0 m 0 3.0 m 1.5 m T 2.0 m k = 2 x 1o cm/s 1.2 m I k - 0.3 x 10 cm/s 3.0 m k = 0.8 x 10 cm/s a) Calculate the horizontal equivalent permeability of the canal in cm/day. b) Calculate the vertical equivalent permeability of the canal in cm/day. c) Determine the equivalent permeability in the vertical directions below the bottom of the canal in cm/day.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Principles of Seepage

In hydrology, when water flows down in a pore or crack of unsaturated soil due to gravity, the deep layer of soil is called seepage. It is the slow movement of water in the soil layer. Seepage is mainly found near hydraulic structures and is responsible for the stability of earthen-type hydraulic structures.

Question

A canal is cut into a soil with a stratigraphy as shown in the figure. Assume flow takes
place laterally and vertically through the sides of the canal and vertically below the canal.
The values of k= kx= kz in each layer are given.
1.0 m 0
k- 2.3 x 10 cm/s
1.5 m T
k = 5.2 x 10 cm/s
3.0 m
2.0 m
k = 2 x 1o“ cm/s
1.2 m I
k - 0.3 x 10 cm/s
3.0 m
k = 0.8 x 10° cm/s
a) Calculate the horizontal equivalent permeability of the canal in cm/day.
b) Calculate the vertical equivalent permeability of the canal in cm/day.
c) Determine the equivalent permeability in the vertical directions below the bottom of
the canal in cm/day.

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