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SoilWorks
1D Consolidation Analysis & Design
NEW POSSIBILITY,
DESIGN YOUR FUTURE
MidasIT Seongwan Bae
2013.04.04
MIDAS Geotechnical Engineering Seminar
1D Consolidation Analysis & Design
Part 1. Definitions
Part 2. Analytical Overview
Part 3. Process of Softground Design
Part 4. Case Study
Part 5. Conclusions
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Part 1. Definitions
Soft Ground
• Compressible deposits such as Clay, silty Clay,clayey Silt.
• Very low permeability
• Initial and long term settlement
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Part 1. Definitions
Classification of Clay
Classification of Clay
Terzaghi & Peck (1967) Very Soft Soft Medium Stiff Very Stiff Hard
Szechy & Varga (1978) Very Soft Soft∼Medium Stiff Very Stiff Hard
SPT(N) <2 2∼4 4∼8 8∼15 15∼30 >30
qc(tf/m2) <5 5∼15 15∼30 30∼60 >60
[Classification of Clay by Terzaghi & Peck]
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Part 1. Definitions
Problems in Soft Ground
• Initial and long term settlements
during and after construction
• Differential settlement on
adjacent structures, services(road)
• Heaving or Boiling
• Reduction of bearing capacity…
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Part 1. Definitions
Softground Improvement Methods
http://www.penta-ocean.co.jp/english/business/civil/softground.html
1D Consolidation Analysis & Design
Part 1. Definitions
Part 2. Analytical Overview
Part 3. Process of Softground Design
Part 4. Case Study
Part 5. Conclusions
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Part 2. Analytical Overview
Overview
[ 1D Consolidation]
[ FEM Consolidation]
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Sand
Part 2. Analytical Overview
Settlement Calculation (Initial Settlement)
[ De Beer Method) ]
[ B.K. Houng Graph Method ]
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Part 2. Analytical Overview
Settlement Calculation (Primary Consolidation)
[ Notation and Terminology used forOedometer Compression
Curves (fromBalasubramaniam & Brenner, 1981) ]
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Part 2. Analytical Overview
Settlement Calculation (Primary Consolidation)
Type Compression Index (Cc)
method
Volumetric Compression
Index (mv) method Initial Pore Ratio (eo) method
Schematic
Diagram
Settlement
Calculation
Remarks
Used when consolidation test
cases are few or none and
when an approximate
settlement calculation using
physical properties is
performed.
The level of variation of mv in
the overconsolidated domain
is high, which results in a
large margin of errors. But
the level is relatively good in
the normally consolidated
domain.
In case a large amount of test
data renders a big variation in
the e-logP curve, the
settlement calculation by this
theoretical method is rather
difficult. It is not commonly
used in practice.
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Part 2. Analytical Overview
Settlement Calculation (Rebound of Cohesive Soil)
Type Compression Index (Cc)
method
Volumetric Compression
Index (mv) method Initial Pore Ratio (eo) method
Schematic
Diagram
Rebound
Calculation
Remarks
In the method, the rebound
is calculated using the
removed stress and,
the slope of the e-logP curve
after the removal of the load.
In the method, the rebound
is calculated using the
removed stress and,
Mv after the removal of the
load.
In the method, the rebound is
calculated using the void ratios
before and after removal of the
load.
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Part 2. Analytical Overview
Settlement Calculation (Secondary Consolidation)
[Relation between Secondary Compression Ration and Water
Content (fromMesri, 1973) ]
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Part 2. Analytical Overview
Rate of Settlement (Degree of Consolidation)
[ Example of Degree of Consolidation Curve for Construction Stage Analysis ]
[ Rate of Settlement] [ Degree of Consolidation]
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Part 2. Analytical Overview
Calculation of Strength Increase
Type Skempton Hansbo Triaxial Compression Test
Empirical
Equations
IP = Plastic Index
WL = Liquid Limit
Φ = Friction angle from CU Test
Type Strength Increment Ratio (m)
Clay 0.25 ~ 0.30
Silt 0.30 ~ 0.45
silty Clay 0.25 ~ 0.40
Peat 0.35 ~ 0.50
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Part 2. Analytical Overview
Calculation of Strength Increase – Stability Analysis
Analysis
Method
Vertical F
Equilibrium
Horizontal F
Equilibrium
Moment
Equilibrium Advantages Disadvantages
Simplified
Bishop ○ X ○
• Reduction in computing
time
• Appliable for circular and
non-circular failure surface
• Inaccurate against
horizontal force
Simplified
Janbu ○ ○ X
• Reduction in computin time
• Optimized for shallow
failure surface
• Conservative Results
(F.S.)
Spencer ○ ○ ○
• Appliable for circular and
non-circular failure surface
• Consider more accurate
than simplified method
• Need more iteration
than simplified method
Morgenstern -
Price ○ ○ ○
• Possible to estimate the
internal vertical force
• Consider more accurate
than Janbu
• Need more iteration
than simplified method
Sarma
(Vertical) ○ ○ ○
• Applicable for rock slope
• A modification of MP which
reduces the iterations
• Need more iteration
than simplified method
1D Consolidation Analysis & Design
Part 1. Definitions
Part 2. Analytical Overview
Part 3. Process of Softground Design
Part 4. Case Study
Part 5. Conclusions
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Part 3. Process of Softground Design
Process of Softground Design
Check Design Criteria
Site Investigation
Determine Material Properties
Check Improvement Methods
Max.height of embankment
Construction Stage
Check Reinforcement
Stability Analysis
Settlement and Duration
Residual Settlement
Drainage / Preloading Method
1D Consolidation Analysis
SCP / GCP
Conterweight Fill
Compare Reinforcement
Determine Reinforcement
Determine Drainage/Preloading
Determine Improvement Method
Plastic Board Drain
Pack Drain
Sand Drain
Fiber Drain
Compare Drainage
Construction,
Monitoring and Control
Total Construction Period
Design level of embankment
Design Criteria
(Allowable Residual Settlement)
Boring Test
Lab Test
-Consolidation Test
-UU,CU Test
Cc , Cv , Ch
E0 , Pc , Kv , Kh
Sa
Check Points
-Material properties
-Stability
-Waterlevel, site condition
-Effect
-Duration
-Economy, Constructability
1D Consolidation Analysis & Design
Part 1. Definitions
Part 2. Analytical Overview
Part 3. Process of Softground Design
Part 4. Case Study
Part 5. Conclusions
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Part 4. Case Study
Plan drawing of Soft Ground
2
2
2
3
2
2
2
3
2 2
2
6 1st Zone
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Part 4. Case Study
Preliminary Analysis
[ Model ]
Type 1 2 3 4 5 Number of
Analysis Cases
Weak Layer
Thickness (m) 2 4 6 8 10
5 X 5 X 2 = 50 case
Embankment
Height (m) 3 6 9 12 15
Landfill Thickness
(m) 2
Softground
Properties Top Bottom
Soft Ground
Embankment
Landfill
Weak Layer Thickness
Embankment Height
N-value
Waterlevel
Total Settlement
Consolidation Period
Generated Settlement
Residual Settlement
Landfill Thickness
[ Input Data ]
[ Output Data ] [ Preliminary Analysis Cases ]
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Part 4. Case Study
Preliminary Analysis
1
2
3
4
Weak Layer Thickness (D) Allowable Residual Settlement (cm)
D ≤ 10m 10
10m ≤ D ≤ 30m 20
30m < D 30
[ Allowable Residual Settlement ]
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Part 4. Case Study
Parametric Analysis
2
2
2
3
2
2
2
3
2 2
2
6 1st section
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Drainage Methods
Preloading Heights
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<Model>
Modeling Process : CAD section import Smart Surface Drag &Drop (Assign Material Properties)
1D Consolidation Analysis
Multi Analysis
Parametric Analysis for Max. Drain Spacing
Parametric Analysis for Min. Preloading Height
Smart Result
Result Analysis -> Report Generation
Softground – Slope Coupled Analysis
Part 4. Case Study
Parametric Analysis
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Copy & Paste
Smart Surface(SS) Drag & Drop
(Assign Material) Set Calculation Point
Set Waterlevel
Create Analysis Cases
Part 4. Case Study
Parametric Analysis – modeling process
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Copy & Paste Smart Surface(SS) Drag & Drop
(Assign Material) Set Calculation Point
Set Waterlevel
Create Analysis Cases
Part 4. Case Study
Parametric Analysis – modeling process
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Copy & Paste Smart Surface(SS) Drag & Drop
(Assign Material)
Set Calculation Point Set
Waterlevel Create Analysis
Cases
Part 4. Case Study
Parametric Analysis – modeling process
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Copy & Paste Smart Surface(SS) Drag & Drop
(Assign Material) Set Calculation
Point Set
Waterlevel Create Analysis
Cases
Part 4. Case Study
Parametric Analysis – modeling process
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Copy & Paste Smart Surface(SS) Drag & Drop
(Assign Material) Set Calculation Point
Set Water
level
Create Analysis Cases
Part 4. Case Study
Parametric Analysis – modeling process
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Part 4. Case Study
Parametric Analysis – modeling process
Copy & Paste Smart Surface(SS) Drag & Drop
(Assign Material) Set Calculation Point
Set Water
level
Create Analysis
Cases
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Part 4. Case Study
Parametric Analysis – Result Analysis
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Part 4. Case Study
Preloading Heights
Preloading Heights
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Part 4. Case Study
Preloading Heights
1
2
3
Preloading Heights
Height Increase / Number of Increment
Analysis Cases for Each Increment
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Part 4. Case Study
Preloading Heights
1
2
3
Results Analysis
Analysis of Preloading Analysis Results
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Part 4. Case Study
Preloading Heights
Degree of consolidation (%) 55 60 65 70 75 80 85 90 95 99
Duration (day) 371 445 530 627 741 882 1063 1318 1755 2769
Occurred settlement (m) 0.5884 0.6418 0.6953 0.7488 0.8023 0.8558 0.9093 0.9628 1.0162 1.0590
Residual settlement (m) 0.4814 0.4279 0.3744 0.3209 0.2674 0.2139 0.1605 0.1070 0.0535 0.0107
Scheduled construction
period(day)
Degree of
consolidation (%)
Occurred
settlement (m)
Residual
settlement (m)
Allowable
settlement(m) Remarks
730 74.54 0.7974 0.2723 0.1000 NG
[ Settlement calculation results for scheduled construction period]
[Degree of consolidation – consolidation period – settlement calculation results]
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0 0.5 1 1.5 2 2.5
Preloading height (m)
-0.1
0
0.1
0.2
Resid
ual settle
ment (m
)
85%90%95%
Part 4. Case Study
Preloading Heights
Section P/L height
0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00
Degree of
consolidation
90%
Duration (day) 1318 1318 1318 1318 1318 1318 1318 1318 1318 1318
Occurred
settlement (m) 0.9721 0.9812 0.9900 0.9987 1.0071 1.0153 1.0233 1.0312 1.0389 1.0464
Residual
settlement (m) 0.0976 0.0886 0.0797 0.0711 0.0626 0.0544 0.0464 0.0385 0.0309 0.0233
[Preloading Height – Summary of review results of residual settlement]
[Preloading Height estimate for designated degree of consolidation]
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Part 4. Case Study
Drain Spacing
Drainage Methods, Reinforcement Methods,
Drain Spacing
Drainage Methods, Drain Spacing
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Part 4. Case Study
Drain Spacing
1
2
3
Construct PBD
Drain Spacing
Analysis Cases for Each Spacing
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2
3
Part 4. Case Study
Drain Spacing
Results Analysis
Analysis of Drain Spacing Analysis Results
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Scheduled construction
period(day)
Degree of
consolidation (%)
Occurred
settlement (m)
Residual
settlement (m)
Allowable
settlement(m) Remarks
730 74.54 0.7974 0.2723 0.1000 NG
[ Settlement calculation results for scheduled construction period]
Part 4. Case Study
Drain Spacing - PBD
Spacing Degree of
consolidation (%)
Occurred
settlement (m)
Residual
settlement (m)
Allowable
residual settlement
(m)
Remarks
0.90m x 0.90m 95.69 1.0236 0.0461 0.1000 OK
1.10m x 1.10m 91.63 0.9802 0.0895 0.1000 OK
1.30m x 1.30m 88.05 0.9419 0.1278 0.1000 NG
1.50m x 1.50m 85.24 0.9118 0.1579 0.1000 NG
1.70m x 1.70m 83.10 0.8889 0.1808 0.1000 NG
[ Improvement period for check is based on 730 date]
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Part 4. Case Study
Drain Spacing - SCP
Scheduled construction
period(day)
Degree of
consolidation (%)
Occurred
settlement (m)
Residual
settlement (m)
Allowable
settlement(m) Remarks
730 74.54 0.6598 0.2253 0.1000 NG
[ Settlement calculation results for scheduled construction period]
Spacing Degree of
consolidation (%)
Occurred
settlement (m)
Residual
settlement (m)
Allowable
residual settlement
(m)
Remarks
1.60m x 1.60m 94.40 0.7519 0.0446 0.1000 OK
1.80m x 1.80m 91.61 0.7448 0.0682 0.1000 OK
2.00m x 2.00m 89.03 0.7349 0.0906 0.1000 OK
2.20m x 2.20m 86.79 0.7247 0.1103 0.1000 NG
2.40m x 2.40m 84.92 0.7154 0.1271 0.1000 NG
[ Improvement period for check is based on 730 date]
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Part 4. Case Study
Softground-Slope Coupled Analysis
Strength Increase, Slope Stability for each construction stage
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Part 4. Case Study
Softground-Slope Coupled Analysis
1
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Part 4. Case Study
Softground-Slope Coupled Analysis
1
2
Create Slope Models
Guide Message
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Part 4. Case Study
Softground-Slope Coupled Analysis
1
2
Top Clay Surface
Increase Parameters
Material Properties for each surface
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Part 4. Case Study
Softground-Slope Coupled Analysis
Slope Module 1st stage stability 2nd stage stability 3rd stage stability 4th stage stability
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Softground
Module
•Single Stage Model
•Create Slope Model
Slope
Module
•Max.Height of 1st
stage
Softground
Module
•Multi Stage Model
•Create Slope Models
Slope
Module
•Max.Height of 2nd
stage
Part 4. Case Study
Softground-Slope Coupled Analysis
Estimate the Max. heights of embankment during construction
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Part 4. Case Study
Softground-Slope Coupled Analysis
Max. heights of embankment for 1st stage
Softground
Module
•Single Stage Model
•Create Slope Model
Slope
Module
•Max.Height of 1st
stage
Softground
Module
•Multi Stage Model
•Create Slope Models
Slope
Module
•Max.Height of 2nd
stage
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Part 4. Case Study
Softground-Slope Coupled Analysis
Estimate the Max. heights of embankment during construction
Softground
Module
•Single Stage Model
•Create Slope Model
Slope
Module
•Max.Height of 1st
stage
Softground
Module
•Multi Stage Model
•Create Slope Models
Slope
Module
•Max.Height of 2nd
stage
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Part 4. Case Study
Softground-Slope Coupled Analysis
Max. heights of embankment for 2nd stage
Softground
Module
•Single Stage Model
•Create Slope Model
Slope
Module
•Max.Height of 1st
stage
Softground
Module
•Multi Stage Model
•Create Slope Models
Slope
Module
•Max.Height of 2nd
stage
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1
2
Part 4. Case Study
Softground-Slope Coupled Analysis
What if… take the same time to model..?
1D Consolidation Analysis & Design
Part 1. Definitions
Part 2. Analytical Overview
Part 3. Process of Softground Design
Part 4. Case Study
Part 5. Conclusions
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Part 5. Conclusions
Conclusions
• Design Criteria
– In terms of both serviceability and costs
• Site Investigation
– Geological information and reliable parameters for analysis
• Design Process
– Ensure both stability of embankment and residual settlements
• Monitoring
– Performance of embankment during and after construction
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