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CONSOLIDATION
MRINALJYOTI ADHYAPOK
1. TERMINOLOGY
2. OEDOMETER TEST
3. PRECONSOLIDATION PRESSURE
4. CONSOLIDATION SETTLEMENT
5. TERZAGHI’S THEORY
6. DEGREE OF CONSOLIDATION
TERMINOLOGY
1.1 COMPRESSIBILITY :
It is a process of decrease in volume of soil due to increase in
load on the soil. The compressibility of soil may be due to:
1.1.A : Expulsion of pore air; Compaction.
1.1.B: Expulsion of pore water; 1st
Degree Consolidation.
1.1.C: Compression of water and solid molecules;
Negligible.
1.1.D: Plastic readjustment of soil molecules to achieve
more stable position; 2nd
Degree Consolidation.
COMPRESSIBILITY OF SOIL
COMPACTION CONSOLIDATION
PRIMARY
CONSOLIDATION
SECONDARY
CONSOLIDATION
1. INSTANTANEOUS
2. DUE TO EXPULSION OF
PORE AIR
1. TIME DEPENDENT
2. DUE TO EXPULSION
OF PORE WATER
1. TIME DEPENDENT
2. VERY SLOW; TAKE
YEARS
3. DUE TO PLASTIC
READJUSTMENT OF
SOIL MOLECULES
CONSOLIDATION
Water
Water Table (W.T.)
Voids
Solids
Expulsion of
the water
WHEN THE WATER IN THE
VOIDS STARTS TO FLOW
OUT OF THE SOIL MATRIX
DUE TO CONSOLIDATION
OF THE CLAY LAYER.
CONSEQUENTLY, THE
EXCESS PORE WATER
PRESSURE (∆U) WILL
REDUCE, AND THE VOID
RATIO (E) OF THE SOIL
MATRIX WILL REDUCE
TOO.
SConsolidation = Sprimary + Ssecondary
NORMALLY CONSOLIDATED SOIL:
•Which are loaded 1st
time in the history to the present
applied effective stress.
•Such soils are more compressible representing high
settlement of loading.
OVER CONSOLIDATED SOIL:
•Which are loaded in the past history.
•Past applied effective stress is more than present
applied effective stress.
•Such soils are less compressible and more stable.
OVER CONSOLIDATION RATIO (OCR) :
OCR =
1.For Over Consolidated Soil OCR > 1
2.For Heavily Over Consolidated Soil OCR > > 1
3.For Normally Consolidated Soil OCR ≤1
Maximum value of OCR for normally
consolidated soil is 1.
OEDOMETER TEST
P1
s1
e1
e0
P
t
e s
t
P2
s2
e2
P3
s3
e3
COMPRESSION COEFFICIENT “a”
p1
p2
e1
e2
M1
M2
e0
e
p
curve e-p
△p
△e
p
e
a
d
d
−=
12
21
pp
ee
p
e
a
−
−
∆
∆
−= =
Evaluation of compression with a1-2
 a1-2
< 0.1 , Low compressibility
 0.1MPa-1
≤a1-2
< 0.5 , Middle compressibility
 a1-2
≥0.5 , High compressibility
12
21
=
pp
ee
p
e
aslope
−
−
∆
∆
−=
Preconsolidation pressure-the maximum effective vertical
stress that has acted on the clay in the past.
p
s
OCR
σ
=
σ
How to obtain the preconsolidation
pressure:
1 Produce back the straight-line part (BC) .
2 Determine the point (D) of maximum curvature on the
recompression part (AB) of the curve.
3 Draw the tangent to the curve at D and bisect the angle
between the tangent and the horizontal through D.
4 The vertical through intersection point of the bisector and
CB produced gives the approximate value of the
preconsolidation pressure.
PRECONSOLIDATION PRESSURE
TERZAGHI’S THEORY OF ONE-DIMENSIONAL
CONSOLIDATION
The assumptions made in the theory are:
1. The soil is homogeneous and fully saturated.
2. There is a unique relationship, independent of time, between
void ratio and effective stress.
3. The solid particles and water are incompressible.
4. Compression and flow are one-dimensional (vertical).
5. Strains are small.
6. Darcy’s law is valid at all hydraulic gradients.
7. The coefficient of permeability and volume compressibility
remain constant.
( ) 2
1
2
w
k 1 eu u
t a z
+∂ ∂
=
∂ γ ∂
The total stress increment
soil skeleton
increasing effective stress
the excess pore water pressure decreases
1(1 )
, v
k e
where c
a ωγ
+
=
2
DEGREE OF CONSOLIDATION
1.Degree of consolidation represents percentage
completion of 1st
degree at any instant of time.
2.Theoretically consolidation is completed in infinite time.
However practically it completes in certain finite time.
3.DOC can be computed in following three forms:
a. When settlement is given.
b. when void ratio is given.
c. when excess pore pressure is given.
WHEN VOID RATIO IS GIVEN
WHEN EXCESS PORE PRESSURE IS GIVEN
TIME FACTOR
Time factor is the parameter which relates to degree
of consolidation and time required for that
consolidation. It depends on the following:
1.Degree of Consolidation
2.Length of Drainage path
3.Time of Consolidation
4.Co- efficient of Consolidation
You
Thank

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Consolidation

  • 2. 1. TERMINOLOGY 2. OEDOMETER TEST 3. PRECONSOLIDATION PRESSURE 4. CONSOLIDATION SETTLEMENT 5. TERZAGHI’S THEORY 6. DEGREE OF CONSOLIDATION
  • 3. TERMINOLOGY 1.1 COMPRESSIBILITY : It is a process of decrease in volume of soil due to increase in load on the soil. The compressibility of soil may be due to: 1.1.A : Expulsion of pore air; Compaction. 1.1.B: Expulsion of pore water; 1st Degree Consolidation. 1.1.C: Compression of water and solid molecules; Negligible. 1.1.D: Plastic readjustment of soil molecules to achieve more stable position; 2nd Degree Consolidation.
  • 4. COMPRESSIBILITY OF SOIL COMPACTION CONSOLIDATION PRIMARY CONSOLIDATION SECONDARY CONSOLIDATION 1. INSTANTANEOUS 2. DUE TO EXPULSION OF PORE AIR 1. TIME DEPENDENT 2. DUE TO EXPULSION OF PORE WATER 1. TIME DEPENDENT 2. VERY SLOW; TAKE YEARS 3. DUE TO PLASTIC READJUSTMENT OF SOIL MOLECULES
  • 5. CONSOLIDATION Water Water Table (W.T.) Voids Solids Expulsion of the water WHEN THE WATER IN THE VOIDS STARTS TO FLOW OUT OF THE SOIL MATRIX DUE TO CONSOLIDATION OF THE CLAY LAYER. CONSEQUENTLY, THE EXCESS PORE WATER PRESSURE (∆U) WILL REDUCE, AND THE VOID RATIO (E) OF THE SOIL MATRIX WILL REDUCE TOO. SConsolidation = Sprimary + Ssecondary
  • 6. NORMALLY CONSOLIDATED SOIL: •Which are loaded 1st time in the history to the present applied effective stress. •Such soils are more compressible representing high settlement of loading. OVER CONSOLIDATED SOIL: •Which are loaded in the past history. •Past applied effective stress is more than present applied effective stress. •Such soils are less compressible and more stable.
  • 7. OVER CONSOLIDATION RATIO (OCR) : OCR = 1.For Over Consolidated Soil OCR > 1 2.For Heavily Over Consolidated Soil OCR > > 1 3.For Normally Consolidated Soil OCR ≤1 Maximum value of OCR for normally consolidated soil is 1.
  • 9. COMPRESSION COEFFICIENT “a” p1 p2 e1 e2 M1 M2 e0 e p curve e-p △p △e p e a d d −= 12 21 pp ee p e a − − ∆ ∆ −= = Evaluation of compression with a1-2  a1-2 < 0.1 , Low compressibility  0.1MPa-1 ≤a1-2 < 0.5 , Middle compressibility  a1-2 ≥0.5 , High compressibility 12 21 = pp ee p e aslope − − ∆ ∆ −=
  • 10. Preconsolidation pressure-the maximum effective vertical stress that has acted on the clay in the past. p s OCR σ = σ How to obtain the preconsolidation pressure: 1 Produce back the straight-line part (BC) . 2 Determine the point (D) of maximum curvature on the recompression part (AB) of the curve. 3 Draw the tangent to the curve at D and bisect the angle between the tangent and the horizontal through D. 4 The vertical through intersection point of the bisector and CB produced gives the approximate value of the preconsolidation pressure. PRECONSOLIDATION PRESSURE
  • 11. TERZAGHI’S THEORY OF ONE-DIMENSIONAL CONSOLIDATION
  • 12. The assumptions made in the theory are: 1. The soil is homogeneous and fully saturated. 2. There is a unique relationship, independent of time, between void ratio and effective stress. 3. The solid particles and water are incompressible. 4. Compression and flow are one-dimensional (vertical). 5. Strains are small. 6. Darcy’s law is valid at all hydraulic gradients. 7. The coefficient of permeability and volume compressibility remain constant.
  • 13. ( ) 2 1 2 w k 1 eu u t a z +∂ ∂ = ∂ γ ∂ The total stress increment soil skeleton increasing effective stress the excess pore water pressure decreases 1(1 ) , v k e where c a ωγ + = 2
  • 14. DEGREE OF CONSOLIDATION 1.Degree of consolidation represents percentage completion of 1st degree at any instant of time. 2.Theoretically consolidation is completed in infinite time. However practically it completes in certain finite time. 3.DOC can be computed in following three forms: a. When settlement is given. b. when void ratio is given. c. when excess pore pressure is given.
  • 15.
  • 16. WHEN VOID RATIO IS GIVEN
  • 17. WHEN EXCESS PORE PRESSURE IS GIVEN
  • 18. TIME FACTOR Time factor is the parameter which relates to degree of consolidation and time required for that consolidation. It depends on the following: 1.Degree of Consolidation 2.Length of Drainage path 3.Time of Consolidation 4.Co- efficient of Consolidation