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NUMERICALMODELINGOF
FOUNDATIONDEFORMATION
DUETOFAULTRUPTURE
A. Giannakou, J. Chacko, O. Zarzouras, and W. Chen
NorthAnatolianFault
Istanbul
Izmir
South Approach Viaduct
Izmit Bay Bridge South Approach Viaduct
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IdentificationofActiveFaultsinInterpretedSiteinvestigationData
Active Faults near Bridge Alignment
Identified Secondary Faults Geophysical Data
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Identified Secondary Faults Geophysical Data
Beginning of South Approach ViaductAnchorage Location
Pier 1 Pier 2
Identified Secondary Faults Geotechnical Data
Beginning of South Approach ViaductPier 1 Pier 2
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South Approach Viaduct Pier Foundation Design
P01
P02
P03P04
InthenearshoreareawherefaultswereidentifiedingeophysicaldataPier
foundationswerelocatedinbetweenidentifiedfaults
Imagingoffaultfeatureswasnotpossibleintheonshoreareas,duetohigh
watertable
and
large
thicknesses
of
very
recent
sediments
Foundationdesignneedstoaccommodatethepotentialforfaultsbeingpresent
attheindividualfoundationlocations
2,475yearsurfacefaultrupturedisplacements:1mhorizontaland0.5mvertical
Failure of the Bolu Viaduct in the 1999 Duzce Eq due to Fault Rupture
Anastasopoulos et al (2008)
Case Histories of Bridge Failures due to Fault
Rupture
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Collapse of Two Bridges in the 1999 Chi Chi Eq due to Fault Rupture
Anastasopoulos et al (2008)
Case Histories of Bridge Failures due to Fault
Rupture
Foundation Systems Performance Against Fault
RupturePerformance of Pile Foundation
to Fault Rupture
Performance of Shallow
Foundation to Fault Rupture
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Step 1: Detailed
Soil-Foundation Model
Step 2: Detailed
Superstructure Model
Problem Definition and Design Approach
Idealized Soil Profile
Elevation(m)
StrengthParameters(kPa)
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Sands
Clays
Soil Constitutive Model
HorizontalDistanced(m)
y(m)
e_plastic
0.00E+00 4.00E-02
8.00E-02 1.20E-01
1.60E-01 2.00E-01
Contour interval= 2.00E-02Exaggerated Grid Distortion
Magnification = 1.000E+00Max Disp = 9.694E-01
Validation of Soil Model - Centrifuge Test of
Reverse Fault Rupture
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y(m)
HorizontalDistanced(m)
e_plastic 0.00E+00 4.00E-02
8.00E-02 1.20E-01
1.60E-01 2.00E-01
Contour interval= 2.00E-02Exaggerated Grid Distortion
Magnifica tion = 1.000E+00Max Disp = 9.847E-01
Validation of Soil Model - Centrifuge Test of
Normal Fault Rupture
Mesh Sensitivity
1mx1m elements 2mx2m elements
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Fault Offset
Foundation 26m x 36m
Numerical Model
Modeling of Strike Slip Fault Rupture
ShearStrainContours
FreeFieldFaultRupture
Propagation
Diversionof
Fault
Rupture
DuetoFootingPresence
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Sensitivity to Fault Offset Location with respect to
Footing Centerline
FaultOffsetat+10mFaultOffsetat+5mFaultOffsetat5m
FaultOffset
at
10
mFault
Offset
at
0mFree
Field
Ca s e1b
Ca s e1c
Ca s e1a
Ca s e1d
Ca s e1e
Sensitivity to Fault Offset Location with respect to
Footing CenterlineCa s e1b
Ca s e1c
Ca s e1a
Ca s e1d
Ca s e1e
1.2
1.0
0.8
0.6
0.4
0.2
0
0.2
1.2
1.0
0.80.6
0.4
0.2
0
VerticalDisplacement(m)
HorizontalDispla
cement(m)
30 20 10 0 10 20 30
DistancefromFoundationCenterline(m)
Fault offset -10 m
Fault offset -5 m
Fault offset 0 m
Fault offset 5 m
Fault offset 10 m
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Sensitivity to Fault Rupture Dip Angle
Dip
angle
65
o
Dipangle50o
Found Case 1a
Found Case 4a
Found Case 4b
FF Ca se1a
FF Ca se4a
FF Ca se4b
Sensitivity to Fault Rupture Dip Angle
Dip Angle 80o - Base Case
Dip Angle 65o
Dip Angle 50o
Free Field, Dip Angle 80o
Free Field, Dip Angle 65o
Free Field, Dip Angle 50o
FoundCa se1a
FoundCa se4a
FoundCa se4b
FF Case 1a
FF
Case
4a
FF Case 4b
1.2
1.0
0.8
0.6
0.4
0.2
0VerticalDisplacement(m)
HorizontalDisplacem
ent(m)
DistancefromFoundationCenterline(m)30 20 10 0 10 20 30
1.2
1.0
0.8
0.6
0.4
0.2
0
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Sensitivity to Fault Rupture Direction
45o
Angle
Strike
FoundationFoundation
Transverse
to
Bridge
Axis
F oundCase1a
F oundCase2
FF Case1a
FF Case2
Sensitivity to Fault Rupture Direction
F oundCase1a
F oundCase2
FF Case1a
FF Case2
1.2
1.0
0.8
0.6
0.4
0.2
0
0.2
0.4
1.2
1.0
0.8
0.6
0.4
0.2
0
0.2
VerticalDisplacement(m)
HorizontalDispla
cement(m)
DistancefromFoundationCenterline(m)40 30 20 10 0 10 20 30 40
Transverse to Bridge Axis - Base Case
45oAngle
Free Field, Base Case
Free Field, 45oAngle
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Thefoundation
system
has
been
found
to
play
akey
role
intheresponseofstructuressubjectedtofaultinducedgroundmovement
Structuresrestingonrigidandcontinuousfoundationsystems(suchasaraft,oraboxtypefoundation)havedemonstratedtobecapableofachievingaverysatisfactoryperformance,irrespectiveofthefaultingtype
ThetypeoffootingselectedfortheIzmitBridgeSouth
ApproachViaduct
diverts
fault
rupture
around
the
footing
compressessurfaceasperities,thusleadingtosmallerdifferentialdisplacements,andthefootingblockitselfremainsstructurallysound
Conclusions
Rotationsandtorsionsontheorderof0.5to1degreeareobservedasthefoundationelementspreadsouttheoverallgrounddisplacements
Greatertranslationisobservedforcaseswherethefaultruptureisclosertotheedgesofthefooting,whereasmorerotation/torsionisobservedfortherupturebeneaththefooting
Conclusions