GATE CE 2019 Set 2 — Question 27
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Geotechnical Engineering → Permeability → Anisotropic Permeability
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Question
An anisotropic soil deposit has coefficient of permeability in vertical and horizontal directions as and , respectively. For constructing a flow net, the horizontal dimension of the problem's geometry is transformed by a multiplying factor of
Correct answer
(A) √((k_z)/(kₓ))
Solution
For flow through anisotropic soils, the governing Laplace equation is:To use standard flow net construction techniques, this equation must be transformed into the isotropic form . This is achieved by transforming the horizontal coordinate to using:Thus, the horizontal dimensions are multiplied by the factor .
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