Time factor for a clay layer isa)a dimensional parameterb)directly pro...
Time factor for a clay layer
Time factor for a clay layer refers to the time taken for the consolidation of clay under a given load or stress.
Inversely proportional to drainage path
The time factor for a clay layer is inversely proportional to the drainage path. This means that the shorter the drainage path, the faster the consolidation of the clay layer.
Explanation
The consolidation of a clay layer occurs due to the dissipation of excess pore water pressure. When a load is applied to a clay layer, the excess pore water pressure is generated within the layer. This excess pore water pressure needs to dissipate for the clay layer to consolidate.
The drainage path refers to the distance that the excess pore water pressure needs to travel to reach the drainage outlet. The shorter the drainage path, the faster the excess pore water pressure can dissipate, leading to faster consolidation of the clay layer.
On the other hand, if the drainage path is longer, the excess pore water pressure has to travel a greater distance to reach the drainage outlet. This results in a longer time for the consolidation of the clay layer.
Therefore, the time factor for a clay layer is inversely proportional to the drainage path.
Time factor for a clay layer isa)a dimensional parameterb)directly pro...
Ans. is b).
Tv={(Cv×t)/(d^2)}
where, Tv= time factor
Cv= coefficient of consolidation
t= time
d= drainage path
so, Tv is proportional to Cv
Tv~Cv
now , Cv= {(k)/(mv×Y wew)}
where, k= coefficient of permeability
mv= coefficient of volume compressibility
Yw=unit weight of water
so, Cv (coefficient of consolidation) is proportional to k (coefficient of permeability)
Cv~k
hence, Tv~k
ans, b). time factor (Tv) is directly proportional to permeability (k)...
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