Soil mechanics - time of consolidation A potentially consolidating soil exists i

Question

Soil mechanics - time of consolidation

A potentially consolidating soil exists in a soil profile between depths of 8 and 13 m. The
one dimensional consolidation settlement has been estimated to be 180 mm for the applied
loading from an embankment construction. If the initial uniform excess pore water pressure in
the consolidating layer was 80 kPa, how long would it take to reach 90% consolidation if the
Time Factor, T90 = 0.848 and the coefficient of consolidation, cv, is 1 m2 /year? The
consolidating layer can drain both top and bottom of the layer. (3 marks)
Note: T = (cvt)/h2

Explanation / Answer

as T = (Cvt)/h2

In this problem ,

T = 0.848 for 90% consolidation and Cv = 1 m2/year

h = height of drainage path = (13-8)/2 = 2.5 m .

So, by putting these values in expression we get

     0.848 = 1* t /(2.5)2

It implies that t = 5.3 years.

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