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Question
Consider the following statements :
1. Consolidation time increases with increasing compressibility.
2. Consolidation time decreases with increasing permeability.
3. Consolidation time is dependent on the magnitude of stress increase.
Which of these statements are correct?
A.
1, 2 and 3
B.
1 and 2 only
C.
2 and 3 only
D.
1 and 3 only
Answer ( Option A)

1, 2 and 3

Solution

According to Terzaghi's one dimensional consolidation theory
Time factor,
where Cv is coefficient of consolidation and is given as
where K is permeability and av is coefficient of compressibility.
For a particular degree of consolidation and drainage condition, Tv and H are constant, hence time required for consolidation is inversely proportional to Cv 
(i) As compressibility (av) increases, Cv decreases hence consolidation time increases.
(ii) As permeability (K) increases, Cv increases, consolidation time decreases.
(iii) Cv also depends on magnitude of effective stress increment so consolidation time will also depend on magnitude of stress increase.

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