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Introduction Modeling and Simulation Summary
Modeling and Simulation ofEarthquakes, Soils, Structures and
their Interaction
Boris JeremicHexiang Wang, Han Yang, Maxime Lacour, Yuan Feng
University of California, Davis, CALawrence Berkeley National Laboratory, Berkeley, CA
Best PSHANIChâteau de Cadarache, France
Mai 2018
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Motivation
I Improve safety and economy of infrastructure objects
I Improve numerical modeling and simulation forinfrastructure objects, nuclear installations
I Quality assurance, verification & validation
I Practical numerical modeling and simulation system
I Select level of sophistication numerical models to analyzeearthquake soil structure interaction of nuclear installations
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Uncertainties
I Modeling uncertainty, introduced by simplifyingassumptions, need for capability to perform lower andhigher level of sophistication modeling and simulation
I Parametric uncertainty, propagation of uncertainty inmaterial K ep and loads F (t), through:Mui + Cui + K epui = F (t), resulting in PDFs and CDFs forσij , εij , ui , ui , ui
I Le doute n’est pas un état bien agréable, mais l’assuranceest un état ridicule. (François-Marie Arouet, Voltaire)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Flow of Seismic Energy
I Seismic energy input into the ESSI system
I Seismic energy dissipation outside of ESSI systemI Wave reflectionsI Structural oscillations, wave radiation
I Seismic energy dissipation within ESSI systemI Viscous effects (soil, fluid containers...)I Inelastic effects (soil, concrete, contacts, dissipators...)
I Numerical energy dissipation and production
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Stress Test Motions and Regional Scale Motions
I Stress test motionsI 3D - 6C, Haskel’s solution for plane harmonic wavesI 3D - 3×1CI 3D - 1CI 1D - 1C
I High fidelity (?) free field regional scale seismic motionsusing SW4, courtesy of Dr. Rodgers, Dr. Pitarka andDr. Petersson (LLNL)
I Knowledge of geology and the site is important
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Example Structure, a Small Modular Reactor (SMR)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Stress Test Motions
I Variation in inclination, frequency, energy and durationI Try to "break" the system, shake-out strong and weak links
L oL w
L oL w
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Free Field, Variation in Input Wave Angle, f = 5Hz
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
SMR ESSI, Variation in Input Wave Angle, f = 5Hz
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Free Field, Variation in Input Frequency, θ = 60o
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
SMR ESSI, Variation in Input Frequency, θ = 60o
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
SMR ESSI, Variation in Input Frequency, REAL TIME
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Free Field vs ESSI - Different Frequencies
0.0 0.2 0.4 0.6 0.8 1.0Time [s]
0.50
0.25
0.00
0.25
0.50
Ax [
g]
SMR Free field
0.0 0.2 0.4 0.6 0.8 1.0Time [s]
60
30
0
30
60
Ax [
g]
SMR Free field
0.0 0.2 0.4 0.6 0.8 1.0Time [s]
60
30
0
30
60
Ax [
g]
SMR Free field
0.0 0.2 0.4 0.6 0.8 1.0Time [s]
0.50
0.25
0.00
0.25
0.50
Az [
g]
SMR Free field
0.0 0.2 0.4 0.6 0.8 1.0Time [s]
60
30
0
30
60
Az [
g]
SMR Free field
0.0 0.2 0.4 0.6 0.8 1.0Time [s]
60
30
0
30
60
Az [
g]
SMR Free field
AB
C
Jeremic et al.
MS-ESSI
Acceleration response - Surface center point A
X direction
Z direction
(a) f = 1Hz θ = 60o (b) f = 5Hz θ = 60o (c) f = 10Hz θ = 60o
Introduction Modeling and Simulation Summary
Seismic Motions
Example Regional Model (Rodgers et al, LLNL)
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Seismic Motions: SW4 to MS-ESSI
ESSI nodes
SW42ESSI
1 2 31 2 3 , ,( ), , ,u u u
72m×72m×56m36m embedded
300m ×300m ×100mGrid spacing ～ 5m
ESSI Box
30km × 14km ×5 km
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Inelasticity
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Inelasticity
Inelastic Modeling for Components
I Soil elastic-plasticI Dry, single phaseI Unsaturated (partially saturated)I Fully saturated
I Contact, inelastic, soil/rock – foundationI Dry, single phase, normal/axial (hard and soft, gap
open/close), friction/shear (inelastic)I Fully saturated, suction and excess pressure (dynamic
buoyant force)I Structural inelasticity/damage
I Nonlinear/inelastic fiber beamI Nonlinear/inelastic fiber wall element
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Inelasticity
SMR: Inelastic ESSI Effects, Top Center
5 10 15 20Time [s]
1.00.50.00.51.0
A x [g
]
Elastic Inelastic
5 10 15 20Time [s]
1.00.50.00.51.0
A y [g
]
Elastic Inelastic
5 10 15 20Time [s]
1.00.50.00.51.0
A z [g
]
Elastic Inelastic
0 5 10 15 20Frequency [Hz]
0.00
0.05
0.10
FFT
A x [g
]
Elastic Inelastic
0 5 10 15 20Frequency [Hz]
0.00
0.05
0.10
FFT
A y [g
]
Elastic Inelastic
0 5 10 15 20Frequency [Hz]
0.00
0.05
0.10
FFT
A z [g
]
Elastic Inelastic
23
1
4(8)
5(9)6(10)
7(11)
12(13)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Inelasticity
SMR: Accelerations Along Depth
40 30 20 10 0 10 20 30 40Width [m]
50
40
30
20
10
0
10
Dept
h [m
]
X=15
A
B
C
D
E
1g
0.0
2.5
5.0
7.5
10.0
12.5
15.0
17.5
20.0
Time [s]
40 30 20 10 0 10 20 30 40Width [m]
50
40
30
20
10
0
10
Dept
h [m
]
X=15
A
B
C
D
E
1g
0.0
2.5
5.0
7.5
10.0
12.5
15.0
17.5
20.0Tim
e [s]
40 30 20 10 0 10 20 30 40Width [m]
50
40
30
20
10
0
10
Dept
h [m
]
A
B
C
D
E
1g
0.0
2.5
5.0
7.5
10.0
12.5
15.0
17.5
20.0
Time [s]
40 30 20 10 0 10 20 30 40Width [m]
50
40
30
20
10
0
10
Dept
h [m
]
A
B
C
D
E
1g
0.0
2.5
5.0
7.5
10.0
12.5
15.0
17.5
20.0
Time [s]
Nonlinearsiteeffects
NonlinearESSIeffects
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Inelasticity
Energy Dissipation for an SMR
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Inelasticity
Stochastic Elastic-Plastic Finite Element MethodMui + Cui + K epui = F
(MP4)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Summary
I Seismic wave fields, 3C/6C, 3×1C and 1C, for ESSIbehavior
I Inelastic ESSI behavior, soil, contact and structure
I MS-ESSI Simulator: http://ms-essi.info
I Funding from and collaboration with the DOE, NRC,CNSC-CCSN, NSF and IAEA is greatly appreciated
I Collaborators: Feng, Han, Wang, Sinha, Lacour, Abell,Pisanò, Orbovic, McCallen, Petrone, McKenna
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
US-DOE: ESSI of Nuclear Installations
The MS-ESSI Simulator: http://ms-essi.info
High Quality Validation test (UNR/UCD/LBNL)
Jeremic et al.
MS-ESSI
