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%Methods, Computation Platform, and Case Studies for
%Time-Domain Soil-Structures-Interaction Modeling and
%Simulation Incorporating Complex Seismic Loads
\title[Nonlinear ESSI of NPPs with Contact Slip]{The Nonlinear Time-Domain Modeling of \\
Earthquake Soil Structure Interaction for \\
Nuclear Power Plants: Nonlinear Contact \\
Between Foundation and Rock }
%\subtitle
%{Include Only If Paper Has a Subtitle}
%\author[Author, Another] % (optional, use only with lots of authors)
%{F.~Author\inst{1} \and S.~Another\inst{2}}
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% affiliation.
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\pgfdeclareimage[height=0.9cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}
\pgfdeclareimage[height=0.9cm]{USNRC-logo}{/home/jeremic/BG/amblemi/5in-color-bl-nrc-logo}
\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{B. Jeremi{\'c},
A. Kammerer,
N. Tafazzoli,
B. Kamrani,}
%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[\pgfuseimage{university-logo}
\hspace*{0.1truecm}
\pgfuseimage{lbnl-logo}
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\pgfuseimage{USNRC-logo}] % (optional, but mostly needed)
{University of California, Davis, CA\\
% and\\
Lawrence Berkeley National Laboratory, Berkeley, CA \\
U.S. Nuclear Regulatory Commission, Washington DC }
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.
\date[] % (optional, should be abbreviation of conference name)
{\small SMiRT 21, New Delhi, India, November 2011}
\subject{}
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\frametitle{Outline}
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\section{Introduction}
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%\subsection{Introduction}
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\begin{frame}
\frametitle{Introduction}
\begin{itemize}
\vspace*{0.1cm}
\item High fidelity modeling and simulation of earthquake soil/rock structure
interaction behavior of NPPs
\vspace*{0.1cm}
\item Reduction of modeling uncertainty
\vspace*{0.1cm}
\item Focus in this study are nonlinear material effects at the
foundation -- soil/rock interface
\vspace*{0.1cm}
\item Thanks to Dr. Godoy and Dr. Kennedy for pointing out to this issue/problem
\vspace*{0.1cm}
\item One of the case studies for the NRC ESSI Simulator System
\end{itemize}
\end{frame}
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\section{Foundation -- Soil/Rock Interface}
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\subsection{The Problem}
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\begin{frame}
\frametitle{Foundation -- Soil/Rock Interface}
\begin{itemize}
\vspace*{0.3cm}
\item The case of nonlinear, elastic-plastic zone between a concrete slab and
a foundation soil/rock.
\vspace*{0.3cm}
\item Layers of plastic waterproof sheets in the zone
\vspace*{0.3cm}
\item Reduction of capacity for horizontal shear a the foundation-rock contact
\vspace*{0.3cm}
\item Possible gaping, opening and closing (hard or soft)
\end{itemize}
\end{frame}
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\begin{frame}
\frametitle{Beneficial and/or Detrimental ?}
\begin{itemize}
\item Benefits of nonlinear contact between the foundation slab and the
soil/rock
\begin{itemize}
\item Dissipation (significant) of seismic energy (shear)
\item Change of seismic motions characteristics (frequency reduction)
\item "Passive" base isolation
\end{itemize}
\item Detriments of nonlinear contact between the foundation slab and
the soil/rock
\begin{itemize}
\item Gap opening with hard gap closing (high frequency load)
\item Change of seismic motions
% \item Additional, new, high frequency loads
\end{itemize}
\end{itemize}
\end{frame}
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\subsection{The Modeling}
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\begin{frame}
\frametitle{Contact Element}
\begin{itemize}
%\vspace*{0.3cm}
\item Node to node contact element
\vspace*{0.15cm}
\item General, 3D element
%\vspace*{0.3cm}
\vspace*{0.15cm}
\item Gap opening/closing in normal direction
%\vspace*{0.3cm}
\vspace*{0.15cm}
\item Frictional contact in shear direction
%\vspace*{0.3cm}
\vspace*{0.15cm}
\item Viscous and/or non-viscous gap opening/closing
%%\vspace*{0.3cm}
%\item 3D, gap opening/closing, frictional contact
\end{itemize}
\end{frame}
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\begin{frame}
\frametitle{Verification and Validation}
% the process of determining that a model
% implementation accurately represents the developer's conceptual description
% and specification.
% Mathematics issue.
{\it Verification provides evidence that the model is solved correctly.}
\begin{itemize}
%\vspace*{0.1cm}
\item Code verification
%\vspace*{0.1cm}
\item Finite elements
% (tests: patch, aspect ratio)
%\vspace*{0.1cm}
\item Constitutive simulations
% (integration error, bounds test)
%\vspace*{0.1cm}
\item Static and dynamic solution advancement
algorithms
%\vspace*{0.1cm}
\item Solvers
%(well posedness of the system of equation, error)
%\vspace*{0.1cm}
\item Wave propagation
%(Seismic motion input and radiation,
%energy dissipation, frequency modification)
\item Model/mesh verification
\end{itemize}
{\it Validation provides evidence that the correct model is solved.}
\begin{itemize}
%\vspace*{0.2cm}
\item Validate components, unit tests
%(material modeling, dynamic analysis, soil pressures)
%\vspace*{0.2cm}
\item Validate the system (limited data, recent earthquakes)
% \begin{itemize}
%
% \item Lotung LSST tests
% \item Kashiwazaki data
% \item Tohoku Earthquake data (Onagawa, Fukushima-Daiichi, Fukushima-Daini
% NPPs)
%
% \end{itemize}
%
\end{itemize}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Contact Element Verification and Validation}
% \begin{itemize}
%
% %\vspace*{0.3cm}
% \item Finite Elements
%
% %\vspace*{0.3cm}
% \item General 3D
%
% %\vspace*{0.3cm}
% \item Gap opening/closing
%
% %\vspace*{0.3cm}
% \item Frictional contact
%
% %\vspace*{0.3cm}
% \item Viscous and/or non-viscous gap opening/closing
%
% %%\vspace*{0.3cm}
% %\item 3D, gap opening/closing, frictional contact
%
% \end{itemize}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
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\begin{frame}
\frametitle{ESSI Model, with/without Interface}
%\vspace*{-0.5cm}
\begin{figure}[!h]
\begin{center}
{\includegraphics[width=9.0cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Slip_Model01.jpg}}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
\frametitle{Model Verification}
\begin{itemize}
\item Verification: finite element mesh, wave propagation
\vspace*{0.1cm}
\item Synthetic motions: Ricker, Ormsby wavelets
\vspace*{0.1cm}
\item Verify propagation of {\bf Body} (P, SV and SH) and {\bf Surface}
(Rayleigh, Love) waves
\end{itemize}
\vspace*{-1.5cm}
\begin{figure}[!h]
\begin{center}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model.pdf}
%\includegraphics[width=4.2cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/3000_3000_x_displacement.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_FFT/3000_3000_x_displacement_FFT.pdf}
%\vspace*{1.5cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_x.pdf}
\hspace*{-1.5cm}
%\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_z.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_x.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_z.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_x.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_z.pdf}
\end{center}
\end{figure}
\end{frame}
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\section{Nonlinear Interface Results/Issues}
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\begin{frame}
\frametitle{Influence of Inelastic Foundation-Soil/Rock Contact on the NPP Response}
\begin{itemize}
\item Soil/rock -- foundation interface slip behavior
\vspace*{0.1cm}
\item Changes in Earthquake Soil/Rock Structure Interaction (reduction/increase
in demand)
\vspace*{0.1cm}
\item Dissipation of seismic energy in the slip plane
\vspace*{0.1cm}
\item Passive (and active) base isolation
\vspace*{0.1cm}
\item Two examples, 1D seismic wave and 3D synthetic Ricker wavelet
\end{itemize}
\end{frame}
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\subsection{Vertically Propagating Earthquake}
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\begin{frame}
\frametitle{Incident Earthquake SV Wave}
%\vspace*{-3.5cm}
\vspace*{-1.0cm}
\begin{figure}[H]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_acceleration.pdf}
\\
\vspace*{-4cm}
\hspace*{2cm}
{\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Slip_Model01.jpg}}
\hspace*{-1cm}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_displacement.pdf}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
\frametitle{Base and Top of the Containment}
%\vspace*{-3.5cm}
%\vspace*{-1.0cm}
\begin{figure}[H]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/11_11_07/8node_with_without_contact/bottom_structure_x_acceleration_FFT.pdf}
\hspace*{-0.5cm}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/11_11_07/8node_with_without_contact/top_structure_x_acceleration_FFT.pdf}
\hspace*{-1cm}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_displacement.pdf}
\end{center}
\end{figure}
\textcolor{red}{---slip} \hspace*{1cm} \textcolor{blue}{---noslip}
\end{frame}
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\subsection{3D Synthetic Ricker Wavelet}
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\begin{frame}
\frametitle{Incident Ricker Wavelet at $45^o$}
%\vspace*{-3.5cm}
%\vspace*{-1.0cm}
\begin{figure}[H]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=9cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Ricker_2nd.jpg}
\\
\vspace*{-3cm}
\hspace*{2cm}
{\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Slip_Model01.jpg}}
\hspace*{-1cm}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_displacement.pdf}
\end{center}
\end{figure}
\end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Base, Displacements}
%
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/2_x_displacement.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/2_z_displacement.pdf}
% \end{center}
% \end{figure}
%
% \vspace*{-0.90cm}
% {horizontal displacements \hfill vertical displacements}
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Base, Accelerations}
%
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/2_x_acceleration.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/2_z_acceleration.pdf}
% \end{center}
% \end{figure}
%
% \vspace*{-0.90cm}
% {horizontal displacements \hfill vertical displacements}
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{ESSI with Slip, Base, Accelerations FFT}
%\vspace*{-3.5cm}
\begin{figure}[H]
\begin{center}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/2_x_acceleration_FFT.pdf}
\hspace*{-0.5cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/2_z_acceleration_FFT.pdf}
\end{center}
\end{figure}
\vspace*{-0.90cm}
{horizontal Acc. FFT \hfill vertical acc. FFT}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Top, Displacements}
%
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/top_x_displacement.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/top_z_displacement.pdf}
% \end{center}
% \end{figure}
%
% \vspace*{-0.90cm}
% {horizontal displacements \hfill vertical displacements}
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Top, Accelerations}
%
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/top_x_acceleration.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/top_z_acceleration.pdf}
% \end{center}
% \end{figure}
%
% \vspace*{-0.90cm}
% {horizontal accelerations \hfill vertical accelerations}
%
% \end{frame}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{ESSI with Slip, Top, Accelerations FFT}
%\vspace*{-3.5cm}
\begin{figure}[H]
\begin{center}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/top_x_acceleration_FFT.pdf}
\hspace*{-0.5cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/top_z_acceleration_FFT.pdf}
\end{center}
\end{figure}
\vspace*{-0.90cm}
{horizontal acc. FFT \hfill vertical acc. FFT}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \subsection{Body and Surface Wave Verification}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Seismic Body and Surface Waves}
%
% \begin{itemize}
%
% \item Both body (P, SV and SH) and surface (Rayleigh, Love, etc) waves
% are present
%
% \item Surface waves carry more seismic energy at distance
%
% \item Analytically (Aki and Richards 2002) and numerically generated, 3D,
% inclined (plane) body and surface waves are used in tests
%
% \item Seismic moment from a point source at $2$km depth used
%
% \item Stress drop at the source: Ricker and/or Ormsby wavelets
%
% \end{itemize}
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Plane Wave Model}
%
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model.pdf}
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% \frametitle{Seismic Source Mechanics}
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% Stress drop, Ormsby wavelet
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% \begin{flushright}
% \includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/Seismic_source_moment_couple.pdf}
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% \begin{center}
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% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/3000_3000_x_displacement.pdf}
% \hspace*{-0.4cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_FFT/3000_3000_x_displacement_FFT.pdf}
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% \frametitle{Source Plane, Top 2km}
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% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_at_SOURCE.pdf}
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% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_x.pdf}
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% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
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% {horizontal accelerations \hfill vertical accelerations}
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% \begin{frame}
% \frametitle{Middle (NPP) Plane, Top 2km}
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% \vspace*{-0.4cm}
% \begin{figure}[H]
% \begin{flushright}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_MIDDLE.pdf}
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% \end{figure}
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% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
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% {horizontal accelerations \hfill vertical accelerations}
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% \begin{frame}
% \frametitle{Surface 6km}
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% \vspace*{-0.4cm}
% \begin{figure}[H]
% \begin{flushright}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_SURFACE.pdf}
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% \end{figure}
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% \vspace*{-1.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
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% \vspace*{-0.90cm}
% {horizontal accelerations \hfill vertical accelerations}
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% \section{Case Studies}
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% \subsection{Body and Surface Waves}
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% \begin{frame}
% \frametitle{Body and Surface Seismic Waves}
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% \begin{itemize}
% \item Investigate influence of full body (P and S) and surface (Love and
% Rayleigh) waves on the NPP response
%
%
% \vspace*{0.2cm}
% \item Lack of correlation modeling (incoherence) for full 3D seismic motions
%
% \vspace*{0.2cm}
% \item Inclined wave fields and their influence on the NPP response
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% \vspace*{0.2cm}
% \item Influence of soil/rock variability and uncertainty on seismic motions
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% \end{itemize}
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% \begin{frame}
% \frametitle{Stress-Test NPPs for Different Wave Inclinations}
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% \vspace*{-0.6cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_top_200m.pdf}
% \end{center}
% \end{figure}
%
% \vspace*{-3.9cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/FaultSlip_Ormsby/figs/surface_200m/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/FaultSlip_Ormsby/figs/surface_200m/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
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% \vspace*{-0.90cm}
% {horizontal accelerations \hfill vertical accelerations}
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% \end{frame}
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% \begin{frame}
% \frametitle{Example, Free Field, $45^o$ Inclined Ormsby Wavelet}
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% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/5000_5000_x_acceleration.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/5000_5000_z_acceleration.pdf}
% \end{center}
% \end{figure}
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% \vspace*{-0.90cm}
% {horizontal accelerations \hfill vertical accelerations}
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% \end{frame}
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\section{Summary}
%\subsection{Summary}
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\begin{frame}
\frametitle{Summary}
\begin{itemize}
\vspace*{0.1cm}
\item Nonlinear behavior of the foundation -- soil/rock interface zone can have
beneficial and detrimental effects on the seismic response of NPPs
\vspace*{0.1cm}
\item Beneficial or Detrimental, such nonlinear interface does exists and has to
be properly modeled
\vspace*{0.1cm}
\item High fidelity numerical prediction relies heavily on proper verification
and validation
\vspace*{0.1cm}
\item Information Portal:\\
{\large \bf \url{http://nrc-essi-simulator.info}}
\vspace*{0.1cm}
\item Funding by and Collaboration with the U.S.-NRC is gratefully acknowledged
\end{itemize}
\end{frame}
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\end{document}