GATE CE 2023 Set 2 — Question 19
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Geotechnical Engineering → Permeability → Anisotropic Permeability
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Question
A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, and coefficient of vertical permeability, . In order to draw the flow net for the isotropic condition, the embedment depth of the wall should be scaled by a factor of ______, without changing the horizontal scale.
Correct answer
(A) √((k_H)/(k_V))
Solution
In anisotropic soils, the Laplace equation for seepage is given by:To transform this into the standard Laplace equation () for drawing a flow net, we use transformed coordinates. If the horizontal scale is kept unchanged (), the vertical scale must be transformed as:Therefore, vertical dimensions such as the embedment depth of the wall must be scaled by a factor of .
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