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A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, k_H and coefficient of vertical permeability, k_V. 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.

1. √(k_H/k_V)
2. √(k_V/k_H)
3. 1.0
4. k_H/k_V

Correct answer: √(k_V/k_H)

Solution

The correct option is √(k_V/k_H) because to achieve isotropic conditions, the vertical scale of the flow net must be adjusted to account for the differing permeabilities in the horizontal and vertical directions. This scaling ensures that the flow behavior represented in the net accurately reflects the anisotropic properties of the soil.

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