Luger Modeling Soil-structure Interaction

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    10 december 2015

    Developments in modelling techniquesof soil-water-structure interaction

    History, examples and practical applications

    Dirk Luger 

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    10 december 2015

    Contents

    Introduction and main messages

    History and lessons learned as a journey through time

    • Storm Surge Barrier “Maeslantkering” near Rotterdam (1995)

    • Palm Deira earthquake deformations (2006)• Incheon bridge ship collision protection (2006)

    • Earthquake amplification factors (2009)

    • Windjack spudcan impact study (2012)

    • Marsrover wheel-soil interaction (2013)

    • Burgum bridge pier protection (2015)

    Closure

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    10 december 2015

    Introduction and main messages

    • My background: more emphasis on predicting soil structure

    behaviour as realistic as possible rather on calculations thataim to prove that a certain design code or standard is

    complied with. That comes later.

    • Another reason for that comes from my involvement in

    forensic geotechnical engineering. That’s an area where

    understanding what actually happened is crucial.

    • This requires selection of parameters fit for the job. Purpose

    of the calculation and the mechanisms that develop can

    determine to a large extent what the proper set of soil

    parameters is.

     You will seldom get the proper soil parameters “of the

    shelf”. You’ll have to make them consistent with your

    engineering problem.

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    10 december 2015

    Introduction and main messages

    • A voyage through time to put what we can do nowadays into

    perspective

    • Quality and power of the tools at our disposal have increasedenormously

    • With that the risk that calculation results are taken for granted

    has increased as well (they look nice and “everything is

    modeled, so it has to be OK…..)

     You have to keep thinking, train your engineering

     judgment and learn to trust it. Simple checks can

    reveal a lot!

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    10 december 2015

    Introduction and main messages

    • When extrapolating beyond tested ranges or application areas

    verification of our models by feedback from actual behaviour (monitoring structures) and from model tests is

    indispensable.

    • Whenever you’re venturing in an area where you haven’t been

    before, make sure you’ve done everything to verify that yourcalculations are reliable.

    Calculation Physical model Real Structure

    Feedback loops

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    Maeslantkering

    Storm Surge Barrier 

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    Foundation block

    North door

    Dry dock

    Main truss

    Barrier sill

    Control building

    Ball joint

    rimary sheet pile wall

    Driving unit

    Main components, North side

      Sea

    Rotterdam, river

    Back-up sheet pile wall

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     And actually, during a design meeting on site, in which some people

    expressed their doubt regarding this risk we were suddenly warned

    that a ship had collided with the main sheetpile wall, fortunately at a

    moment and a place which did not lead to flooding of the building

    pit…..

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    Geotechnical design calculations

    • ‘Traditional’ settlement calcs.(level of terrain, settlement of foundation block)

    • 2-D FEM calculations(parallel to main loading direction, perpendicular to

    sheetpile wall, before and after ship collision)

    • BEM calculations(Stresses under foundation block)

    • Discrete element dynamic calculations

    (Ship collision effects)

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     Asymmetric loading and combined perpendicular and in-

    plane loading of the sheet pile wall, both through soil andvia anchors.

    Having to account for 

    interaction between:

    - Foundation block- Back-up sheetpile wall

    - Main sheetpile wall

    Interaction

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    Parallel modeling (direction of main load)

    Displacements

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    Perpendicular modeling

    Displacements

    Loads from parallel

    and perpendicularcalculations were

    combined to determine

    the final dimensions

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    3-D BEM calculations(Stresses under foundation block)

    + =

    +

    =

    Self-weight

    Surrounding

    ballast

    Combination of both

    0.2 MPa

    0 MPa

    -0.1 MPa

    -0.1 MPa

    0.3 MPa

    0.2 MPa

    0.1 MPa

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    Construction of the dock at the South side

    C t ti f th d i th d k

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    Construction of the door in the dock

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    The main truss

    500 mm camber during supported construction80 mm camber after removal of supports

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    and closed….

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    Earthquake induced displacements

     A method developed in the context of thePalm Deira development

    10 december 2015

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    Seismic Risk 2008 26

    Question

    How to verify that my

    embankment structureremains within acceptable

    deformation limits if the

    “design earthquake” occurs?

    +0.6

    +0.4

    +0.2

    0.0

    -0.2

    -0.4

    -0.6

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    Seismic Risk 2008 28

    Sliding Block

    Use published graphs or

    perform own integration ofselected time-histories to

    determine earthquake-

    induced displacement.

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    Seismic Risk 2008 29

    Sliding block

    PGA

     Ayield

    •  Advantage:

    Simple – easy to evaluate for many time histories• Disadvantage:

    Only one displacement value (for the “sliding block”)

    Not accounting for water next to the slope

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    Seismic Risk 2008 30

    Sliding block

    PGA = 0.4 g

    ay=0.2 g ay=0.1 gay=0.25 g

    •  Advantage:

    Simple – easy to evaluate for many time histories• Disadvantage:

    Only one displacement value (for the “sliding block”)

    Not accounting for water next to the slope

    Not accounting for failure in overlying layers

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    Seismic Risk 2008 31

    Dynamic FE analysis

     Actual acceleration time history as

    boundary condition at the base of

    the mesh.

    + Continuous deformation field

    - CPU intensive

    - One time-history is not sufficient

    - Free water causes problems

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    Seismic Risk 2008 32

    Deforming Continuum Method

     Apply a constant horizontal acceleration at the base of the model

    and observe what acceleration level can be transferred tothe different parts of the embankment

    Each line represents 0.2 m/s2 = 0.02 g

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    Seismic Risk 2008 33

    Excess pore pressures

    • Estimate on basis of ‘standard’ procedures: Cyclic shear stress level andrelative density of the soil.

    •  At the onset of the earthquake excess pore pressures a zero, by the end

    they have reached their maximum value.

    • Current approach: use the average…..

    +0.6

    +0.4

    +0.2

    0.0

    -0.2

    -0.4

    -0.6

    Entering excess pore pressures in

    the model by reduction of the

    material strength: at 50% excess

    pore pressure we introduce a

    material that has 50% of its original

    strength:

    Φnew = atan(0.5 tan(Φorg ))

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    Seismic Risk 2008 34

    Sample

    Mesh

    Hor. acceleration

    Vert. acceleration

    Shear strains

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    Seismic Risk 2008 35

    Accelerations and displacements

     Ayield-vert [g]

     Ayield-hor [g]

    -0,12 ; -0,065

    -0,11 ; -0,04 -0,07 ; -0,04

    -0,04; -0,02

    -0,035 ; -0,005

    Verpl-vert [cm]

    Verpl-hor [cm]

    ≈ 10 cm

    ≤ 1 cm

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    Seismic Risk 2008 36

    In short: A nice method filling “the gap”?

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    Incheon Bridge Ship collision prevention

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    Idealized prototype – 20 m diameter 

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    The dolphin model

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    Modelling the sheetpile

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    Set-up of the model

    10 december 2015

    sand filled

    container 

    water basin

    assembly plate

    actuator dolphin

    moving mass

    mounting plate

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    Set-up of the model

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    After the test

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    Forces derived from ship slowdown

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    Earthquake amplification factors

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    E th k lifi ti f t

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    Earthquake amplification factors

    Limits to PGA

    and amplification

    Li it t l ti li i l i

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    Limit to acceleration - preliminary analysis

    0 1,0 2,0 3,0 4,0 5,0-6,0

    -4,0

    -2,0

    0,0

    2,0

    4,0

    Dynamic time [s]

     Acceleration

    CP stand 0.5g...

    Point A -394.4

    Point B -397.1

    Point C -399.7

    Point D -401.5

    Point E -404.7

    Point F -410.6

    Point G -427.0

    Point H -441.7

    Point I -456.7

    Point J -464.0

    Demonstrated mechanism but needed clearer presentation

    M h i

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    Mechanism

    M1

    Su1

    M2

    Su2

    M3

    | Peak acceleration | < Su1 / M1

    So in the top layer 2 values

    | Peak acceleration | < (Su1 ± Su2) / M2

    So for an intermediate layer 4 values

    T t f i l i l

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    Try out for simple signal

    Input at base 1g at 1Hz

    V l iti k it l

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    Velocities make it clear 

    0 1,0 2,0 3,0 4,0 5,0-2,0

    -1,5

    -1,0

    -0,5

    0,0

    0,5

    1,0

    1,5

    2,0

    Dynamic time [s]

     Vx [m/s]

    Time_vx

    Point A 

    Point J

    Point I

    Point H

    Point G

    Point F

    Point E

    Point D

    Point C

    Point B

    V l iti k it l

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    Velocities make it clear 

    0 1,0 2,0 3,0 4,0 5,0-2,0

    -1,5

    -1,0

    -0,5

    0,0

    0,5

    1,0

    1,5

    2,0

    Dynamic time [s]

     Vx [m/s]

    Time_vx

    Point A 

    Point J

    Point I

    Point H

    Point G

    Point F

    Point E

    Point D

    Point C

    Point B

    Amplification at 1g base acc

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    Amplification at 1g base acc.

    Input at base 1g at 0.4 Hz

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    WindJack

    Spudcan-seabed impact interaction

    The WindJack JIP

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    06-Feb-14

    The WindJack JIP

    Soil-Structure Interaction Modelling 59

    The WindJack JIP

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    06-Feb-14

    The WindJack JIP

    Soil-Structure Interaction Modelling 61

    The WindJack JIP

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    The WindJack JIP

    Soil-Structure Interaction Modelling 62

    The WindJack JIP

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    The WindJack JIP

    Soil-Structure Interaction Modelling 63

    The WindJack JIP

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    The WindJack JIP

    Soil-Structure Interaction Modelling 64

    Forces have to be

    corrected for inertia

    effects.

    Note the force to set

    the spudcan in motion

    and the force to stop it

    again.

    The WindJack JIP

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    06-Feb-14

    The WindJack JIP

    Soil-Structure Interaction Modelling 65

    Initial analytical spudcan-

    seabed interaction model

    performance.

    Still without hydro-

    dynamic effects, inertia

    and rate effects.

    The WindJack JIP

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    06-Feb-14

    The WindJack JIP

    Soil-Structure Interaction Modelling 66

    The WindJack JIP

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    The WindJack JIP

    MPM calculation results

    Soil-Structure Interaction Modelling 67

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    Marsrover wheel-soil interaction

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    Previous work: Discrete Element Method (DEM)

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    Previous work: Discrete Element Method (DEM)

    advantage: grousers possible, numerical stability

    disadvantages:

    • often 2D, unrealistic soil transport (impossible to go sideways)

    • parameters for particles difficult to relate to physical quantities

    • less suitable for compactive geomaterials (powder like)

    70

    Example of coupled Eulerian-Lagrangian FEM

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    Example of coupled Eulerian Lagrangian FEM

    Eulerian soil model and rigid (Lagrangian) wheel.

    71

    Wheel/soil is half because of symmetry 

    Flexible wheel modeling

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    Flexible wheel modeling

    Diameter 25 cm, width 11.2 cm.

    grousersshell

    Deformable

    body

    Only half of the wheel is

    modeled (symmetry in FEM

    model)

    Rigid wheel modeling

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    Rigid wheel modeling

    Diameter 25 cm, width 11.2 cm.

    Same features as flexwheel, in rigid body

    constraint

    Only half of the wheel is

    modeled (symmetry in FEM

    model)

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    Rigid wheel 60% slip

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    Burgum bridge pier protection

    Analysis of bridge pier

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    Analysis of bridge pier 

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    Little effect of meshing ……

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    Little effect of meshing ……

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    Soil parameters

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    So pa a ete s

    Dr  γsat eini E50_ref  Eoed_ref  Eur_ref  G0_ref  γ0.7 φ Ψ(*)

    % [kN/m3] [-] [kPa] [kPa] [kPa] [kPa] [%] [degr] [degr]

    50 17.0 0.60 35000 35000 105000 94000 0.0150 34.3 4.3(2.15)

    75 18.0 0.52 50000 50000 150000 111000 0.0125 37.4 7.4

    (3.7)

    65 17.6 0.55 44000 44000 132000 104200 0.0135 36.1 6.1(3.05)

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    Parameters for larger strains

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    g

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    Interface strength @ sheetpiles

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    g @ p

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    a part where soil-soil or concrete-

    concrete friction is mobilized anda strength reduction factor of 1.0

    applies and

    a part where soil-steel or

    concrete-steel friction is

    mobilized where typically a

    strength reduction factor of 0.67is applied.

    Rinter = (422/1160)*0.67 + ((1160-422)/1160)*1.0 = 0.88

    Effect of lower dilatancy

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    y

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    Still room for optimisation: from 22m to 18m

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    p

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    Effect of the bridge

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    g

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    Movement of the bridge

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    g

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    Results

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    Closure – main messages

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    10 december 2015

    • Train your engineering judgment and learn to trust it.

    Simple checks can reveal a lot!

    • Select proper soil parameters, consistent with your 

    engineering problem.

    • Verify models by feedback from actual behaviour  

    (monitoring of structures) and by performing modeltests.

    Closure - thanks

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    For further info on Deltares or this presentation feel free to contact:

    In the Netherlands:Dirk Luger  [email protected] M:+31 6 2049 1414

    In Dubai:

    Geoff Toms [email protected] M:+971 4 337 8353

    mailto:[email protected]:[email protected]:[email protected]:[email protected]