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Determination of Coefficient of Permeability

In a two-laye...

Question

In a two-layer soil system, the top soil and bottom soil are of same thickness but the coefficient of permeability of the top soil is twice that of the bottom soil of coefficient of permeability 'k'. When horizontal flow occurs, the equivalent coefficient of permeability of the system will be

A

2k

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B

1.5k

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C

1.25k

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D

1.2k

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Solution

The correct option is B 1.5k
Equivalent horizontal permeability,

$k_{e x} = \frac{k_{1} h_{1} + k_{2} h_{2}}{h_{1} + h_{2}} = \frac{2 k h + k h}{h + h} = 1.5 k$

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