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\mode<handout>{\setbeamercolor{background canvas}{bg=black!3}}

\usepackage{epstopdf}


%% Jose Antonio Abell Mena provided this for DSL descriptions
% (used in a file _Chapter_SoftwareHardware_Domain_Specific_Language_English.tex
% This is added for listing FEI DSL
%   since   he   customized   it,   it   needs   to   be   changed   (linked  to
% /usr/share/texmf/tex/latex/misc)
%\usepackage{myListings}
\input{essi_listings_options.tex}

 
\usepackage[absolute,overlay]{textpos}


  
% for tikzpicture
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\usetikzlibrary{tikzmark,calc}




 
\usepackage{threeparttable}

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% \usepackage{IEEEtrantools}
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% % for listing DSL
% \input{essi_listings_options.tex}
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\usepackage{multimedia}

% for inclusion of other PDF pages, in this case Frank's presentation
\usepackage{pdfpages}

%This is a macro to  convert eps to pdf files on the fly.
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%from http://mailman.mit.edu/pipermail/macpartners/2005-January/000780.html
%
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%% ovo je za cirilicu
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% FEI  LOGO definition
\newcommand{\FEI}
{{\sf \uppercase{F}\kern-0.20em\uppercase{E}\kern-0.20em\uppercase{I}}}

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% % % ovo je za cirilicu
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%  \usetheme{Marburg} % ima naslov i sadrzaj sa desne strane
%  \usetheme{Hannover} % ima naslov i sadrzaj sa leve strane
%  \usetheme{Singapore} % ima sadrzaj i tackice gore
%  \usetheme{Antibes}  % ima sadrzaj gore i kao graf ...
%  \usetheme{Berkeley} % ima sadrzaj desno
%  \usetheme{Berlin} % ima sadrzaj gore i tackice
%  \usetheme{Goettingen} % ima sadrzxaj za desne strane
%  \usetheme{Montpellier} % ima graf sadrzaj gore
%  \usetheme{Warsaw}
%  \usetheme{Warsaw}
  \usetheme{Dresden}
    \usecolortheme[RGB={20,0,128}]{structure}

% or ...

  \setbeamercovered{transparent}


%  \setbeamercovered{transparent}
% or whatever (possibly just delete it)
%  \usecolortheme{albatross} % teget sa svetlim slovima
%  \usecolortheme{beetle} % siva pozadina (vrh plav)
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%%%%%%%
%  \usecolortheme{BorisJeremic}
%%%%%%%
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%   \usefonttheme[onlylarge]{structuresmallcapsserif}
%   \usefonttheme{structuresmallcapsserif}
}

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%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
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\usepackage{hyperref}
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             colorlinks=true,
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             citecolor=webblue,
             urlcolor=webblue,
}
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%             colorlinks=true,
%             linkcolor=webblue,
%             citecolor=webblue,
%             urlcolor=webblue,
%             linktocpage,
%             pdftex]{hyperref}


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% does not look nice, try deleting the line with the fontenc.



%      Site Specific Dynamics of Structures: 
%From Seismic Source to 
%the Safety of Occupants and Content


\title[NRC/LBNL Analysis for SMATCH]
        {SMATCH Benchmark, LBNL-NRC Team 
%         \\ ~ \\
%         Aug2025
         }


%\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}}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.
\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}
\pgfdeclareimage[height=0.7cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}


%\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%\author[Jeremi{\'c} et al.; UCDavis/LBNL/US-NRC] % (optional, use only with lots of authors)
%\author[Jeremi{\'c}, Li, Nie, Graizer; UCDavis/LBNL/US-NRC] % (optional, use only with lots of authors)
\author[Jeremi{\'c}, Li, Nie, Graizer] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
%{Huan Li, Jinsuo Nie, Vladimir Graizer, Jos{\'e} Pires and Boris Jeremi{\'c}}
{~\\~\\{Boris Jeremi{\'c} \\ UCDavis, LBNL \\ ~\\}
{Huan Li, Jinsuo Nie, Vladimir Graizer \\ US-NRC}}


%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[US-NRC, LBNL, UCDavis] % (optional, but mostly needed)
%\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
%\institute[\pgfuseimage{university-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
%{US-NRC; LBNL; UCD}
%{ University of California, Davis, CA, 
%\\
%Lawrence Berkeley National Laboratory, Berkeley, CA}
% % - 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 NRC SMATCH Monthly Meeting \\
%   29Jan2024}

\subject{}
% This is only inserted into the PDF information catalog. Can be left
% out.



% If you have a file called "university-logo-filename.xxx", where xxx
% is a graphic format that can be processed by latex or pdflatex,
% resp., then you can add a logo as follows:

%\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}
%\logo{\pgfuseimage{university-logo}}

% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
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% Structuring a talk is a difficult task and the following structure
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%   15 and 30 frames, all told.

% - A conference audience is likely to know very little of what you
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\begin{frame}
 \frametitle{Overview}


\begin{itemize}
    

\vspace*{2mm}
     \item[-] Earthquake Soil Structure Interaction (ESSI) Analysis
       \begin{itemize}
         \item[-] ESSI for realistic seismic  analysis
         \item[-] Analysis procedures
%         \item[-]
       \end{itemize}


\vspace*{2mm}
     \item[-] Cruas SSI Behavior
       \begin{itemize}
         \item[-] Atypical earthquake
         \item[-] Seismic body and surface waves
         \item[-] Detailed model for validation
       \end{itemize}


\vspace*{2mm}
     \item[-] Summary
       \begin{itemize}
         \item[-] Understanding ESSI
         \item[-] Beneficial and Detrimental ESSI effects
         \item[-] Engineer needs to know!
       \end{itemize}



\end{itemize}


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%\vspace*{-10mm}

\begin{itemize}

  \item[-] Development of a 3D SSI model from EDF geometry

\vspace*{2mm}
  \item[-] Development of $3 \times 1C$ motions

\vspace*{2mm}
  \item[-] Development of 2D regional model $\Rightarrow$  $3D/6C$ motions

\vspace*{2mm}
  \item[-] 3D ESSI analysis using $3 \times 1C$ motions 

\vspace*{2mm}
  \item[-] 3D ESSI analysis using  $3D/6C$  motions 

\vspace*{2mm}
  \item[-] High frequency ($10$Hz) vertical signal (P or Rayleigh wave?)
%

\end{itemize}



 
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%    \frametitle{Real-ESSI  Modeling Phases}
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%  \begin{center}
%    \includegraphics[width = 2.3cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/overview.png}
%  \vspace*{-1mm}
%  \\
%    \includegraphics[width = 0.35cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/free_field_1D/DRM_1D_motion_3D_just_column.jpg}
%  \hspace*{5mm}
%  %  \includegraphics[width = 0.1cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/free_field_1D/DRM1D_Motion3D.png}
%    \includegraphics[width = 2.5cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/free_field_3D/motion3D_DRM3D_free_field.png}
%  \hspace*{5mm}
%  %  \includegraphics[width = 1cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-foundation/soil_foundation.png}
%  %  \includegraphics[width = 3cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-foundation/slice.png}
%    \includegraphics[width = 2.5cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-foundation/foundation_results.png}
%  %  \includegraphics[width = 3cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/overview.png}
%  \\
%  \vspace*{-3mm}
%    \includegraphics[width = 1.0cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/structure-only.png}
%  \hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen1.png}
%  \hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen2.png}
%  \hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen3.png}
%  \hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen4.png}
%  \hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen5.png}
%  \hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen6.png}
%  \hfill
%  %  \includegraphics[width = 1.0cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/imposed_motion/structure-only.png}
%  %\hfill
%    \includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/imposed_motion/imposed_motion_results.png}
%  %   \includegraphics[width = 0.1cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/overview.png}
%  \\
%  \vspace*{-1mm}
%    \includegraphics[width = 6cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/DRM3D_motion3D_structure.png}
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% \begin{frame}
% \frametitle{Real-ESSI Education and Training}
% 
% \begin{itemize}
% 
% 
%   \item[-] Real-ESSI Education 
%     \begin{itemize}
% \vspace*{1mm}
%       \item[-] Short courses, online/in-person
% \vspace*{1mm}
%       \item[-] Educational short videos
% %\vspace*{1mm}
% %     \item[-] Professional practice 
% %   \vspace*{1mm}
% %        \item[-] Developers 
% \vspace*{1mm}
%      \item[-] Large number of practical examples available 
% %     in lecture notes, and documentation
% \vspace*{1mm}
%      \item[-] Documentation, Lecture Notes:
%              (I) Theory and Computational Formulation,
%              (II) Software and Hardware System,
%              (III) Verification and Validation,
%              (IV) Modeling and Simulation Examples,
%              (V) Application to Practical Engineering Problems.
% 
%     \end{itemize}
% 
% %\vspace{1mm}
% %  \item[-] Documentation, extensive
% 
% \vspace{2mm}
%   \item[-] Lecture notes available online:
% \url{http://real-essi.us/}    
%   
% 
% \end{itemize}
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% 


















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% 
%  %\subsection{Motivation}
\section{Cruas NPP Response}
%\section{SMATCH Project Progress}
%  








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\subsection{Cruas NPP Analysis Approach}

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% \begin{frame}
%  \frametitle{Cruas NPP Location}
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_stations.pdf}
% %\caption{\label{Cruas_NPP_stations} Locations of the free-field instruments at the Cruas NPP and near Le Teil}
% \end{center}
% \end{figure}
% 
% 
% % 
% % % \begin{itemize}
% %     
% % 
% %      \item[-]
% % 
% % 
% % \end{itemize}
% 
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% 
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\begin{frame}
 \frametitle{Le Teil Earthquake}
     

\begin{itemize}

\vspace*{1mm}
\item[-] Supershear earthquake: \\
$V_{slip}=1800$m/s, \\
 $Vs=1600$~m/s,

\vspace*{1mm}
\item[-] Geology: soft surface soil, \\
overlying soft and hard rock

% \vspace*{1mm}
% \item[-] More material data for \\
% soil and interfaces  needed
% 
\vspace*{1mm}
\item[-] Seismic wave field: \\
Rayleigh waves, \\
Stoneley waves
   
% \vspace*{3mm}
% \item[-] Real-ESSI Simulator: \hspace*{3mm}
% \underline{\url{http://real-essi.us/}}
%    


\end{itemize}




\vspace*{-55mm}
\begin{figure}[!h]
\begin{flushright}
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_motions-station1.pdf}
%\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas-RAN-acc_Le_Teil_EQ.pdf}
%\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
%acceleration at Cruas NPP (probably at station~1 or station~2 from
%Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
%the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
%north-south (NS) component and up-down (UD) component}
\end{flushright}
%\hspace*{-10mm}
\end{figure}

% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_NPP_soil_profiles.pdf}
% %\caption{\label{Cruas_NPP_soil_profile} Shallow geology profiles at station~1 and station~2 at Cruas NPP}
% \end{center}
% \end{figure}


\end{frame}


   


% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Cruas NPP Location}
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_stations.pdf}
% %\caption{\label{Cruas_NPP_stations} Locations of the free-field instruments at the Cruas NPP and near Le Teil}
% \end{center}
% \end{figure}
% 
% 
% % 
% % % \begin{itemize}
% %     
% % 
% %      \item[-]
% % 
% % 
% % \end{itemize}
% 
% 
% \end{frame}
% 
% 
%    




% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Rayleigh/Surface Wave at Cruas NPP}
%      
%           
% \end{frame}
% 
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
%  \frametitle{Le Teil EQ, Acceleration, Station \#1, N-S}
%      
%          
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_acc-station1-hodo-NS-2.pdf}
% %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
% %acceleration at Cruas NPP (probably at station~1 or station~2 from
% %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
% %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
% %north-south (NS) component and up-down (UD) component}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Acceleration, Station \#1, E-W}
%      
%          
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_acc-station1-hodo-EW-2.pdf}
% %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
% %acceleration at Cruas NPP (probably at station~1 or station~2 from
% %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
% %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
% %north-south (NS) component and up-down (UD) component}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 
% 
% 



% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Displacement, Station \#1, N-S}
%      
%          
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_uu-station1-hodo-NS-2.pdf}
% %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
% %acceleration at Cruas NPP (probably at station~1 or station~2 from
% %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
% %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
% %north-south (NS) component and up-down (UD) component}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 

% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Displacement, Station \#1, E-W}
%      
%          
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_uu-station1-hodo-EW-2.pdf}
% %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
% %acceleration at Cruas NPP (probably at station~1 or station~2 from
% %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
% %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
% %north-south (NS) component and up-down (UD) component}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 














% 
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%   \frametitle{Le Teil EQ, Acceleration, Station \#1, N-S}
%       
%           
%  \begin{figure}[!h]
%  \begin{center}
%  \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_acc-station1-hodo-NS.pdf}
%  %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
%  %acceleration at Cruas NPP (probably at station~1 or station~2 from
%  %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
%  %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
%  %north-south (NS) component and up-down (UD) component}
%  \end{center}
%  \end{figure}
%  
%  
%  \end{frame}


% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Acceleration, Station \#1, E-W}
%      
%          
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_acc-station1-hodo-EW.pdf}
% %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
% %acceleration at Cruas NPP (probably at station~1 or station~2 from
% %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
% %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
% %north-south (NS) component and up-down (UD) component}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 
% 





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Le Teil EQ, Displacement, Station \#1, N-S, U-D}
     
         
\begin{figure}[!h]
\begin{center}
\includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_uu-station1-hodo-NS.pdf}
%\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
%acceleration at Cruas NPP (probably at station~1 or station~2 from
%Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
%the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
%north-south (NS) component and up-down (UD) component}
\end{center}
\end{figure}


\end{frame}


% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Displacement, Station \#1, E-W}
%      
%          
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7.50truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_uu-station1-hodo-EW.pdf}
% %\caption{\label{Cruas_NPP_EQ_acc_01} Time function of the free-field ground
% %acceleration at Cruas NPP (probably at station~1 or station~2 from
% %Table~\ref{tab:stations-free-field} and Figure~\ref{Cruas_NPP_stations}) due to
% %the Le Teil earthquake after \citep{Viallet2022}: east-west (EW) component,
% %north-south (NS) component and up-down (UD) component}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 
% 
























% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{NRC/LBNL Modeling Approach }
     


\begin{itemize}

\vspace*{1mm}
 \item[-]  Measured surface motions used for  motion development
    \begin{itemize}
      \item[-] Free field motions deconvolution (1C in $u, v, w$)
      \item[-] Deconvolved motions propagated  into SSI model
      \item[-] Developed  are  $3 \times 1C$ motions
    \end{itemize}


\vspace*{1mm}
 \item[-] Measured motions also contain surface waves (!?)
    \begin{itemize}
      \item[-] Regional model, small, 2D, for body and surface waves
      \item[-] Excite 3D SSI model with body and surface waves
      \item[-] Body and surface waves from 2D model
      \item[-] Apply inclined waves field that replicates measure motions
    \end{itemize}



% \vspace*{1mm}
%  \item[-] Investigate effects of  surface wave length on SSI 
%     \begin{itemize}
%       \item[-] Longer waves (low freq.): felt by the SSI system
%       \item[-] Shorter waves (high freq.): NOT felt by the SSI system
%     \end{itemize}



\end{itemize}



\end{frame}








%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% %\frametitle{Seismic Wave Length, Frequencies, Verticals}
% \frametitle{Seismic Wave Lengths, Frequencies}
% 
% 
% \vspace*{3mm}  
% 
% \begin{itemize}
% 
% \item[-] SSI for long  wave lengths/low frequencies is $3 \times 1D/1C$  
% 
% \vspace*{2mm}  
% \item[-] SSI for short wave lengths/high frequencies is $3C/6C$  
% \vspace*{2mm}  
%  
% %\vspace*{2mm}  
% %\item[-] Cruas NPP is about 150m long, assume $V_s = 800$m/s 
% % ($V_s = 800, 1600$m/s)
% 
% 
% \end{itemize}
% 
% 
% 
% \begin{figure}[!htb]
% \begin{center}
% %\includegraphics[width=5cm]{/home/jeremic/tex/works/consulting/2017/IAEA/TECDOC/Version_14Mar2017/1Dvs3x1Dvs3D_waves_02.pdf}
% \includegraphics[width=6.0cm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_wave_length_01.png}
% \end{center}
% \end{figure}
% 
% 
% 
% 
% \end{frame}
% 
% 
% % 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Le Teil EQ, Surface Wave }
%      
% 
% 
% \begin{itemize}
%  \item[-]  $a_{EW}=0.045g$
%  \item[-]  $a_{NS}=0.022g$
%  \item[-]  $a_{UD}=0.25g$
% \end{itemize}
% 
% \noindent
% %Assuming that all three components occur at the same time,
% %from graphical analysis, as seen in 
% %Figure~\ref{Cruas_NPP_EQ_acc_02}
% %on page~\pageref{Cruas_NPP_EQ_acc_02}, this is a plausible assumption, 
% Maximum horizontal components, using vectorial addition:
% %
% \begin{eqnarray*}
% a_{HOR} = \sqrt{ (0.45g)^2 + (0.22g)^2 }  =
% \\ 
% \sqrt{ 0.002025g^2 + 0.000484g^2 }  = 
% \sqrt{0.002425 g^2} = 
% 0.04924 g 
% \end{eqnarray*}
% 
% 
% 
% \noindent
% It follows that the ratio of horizontal to vertical acceleration is
% %
% \begin{equation*}
% R_{HV} = a_{HOR} / a_{UD} = 
% 0.04924 g / 0.025 g =
% 1.97 \approx 2
% \end{equation*}
% 
% 
% 
% 
% \end{frame}
% 



% 
%  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{The Domain Reduction Method (Bielak et al.)}
% 
% %Substitute $P_e$
% 
% \begin{small}
% \begin{eqnarray*}
% \left[\begin{array}{ccc}M^{\Omega}_{ii} &  M^{\Omega}_{ib} &   0 \\
%   M^\Omega_{bi} &   M^\Omega_{bb}+M^{\Omega+}_{bb} &   M^{\Omega+}_{be}
%   \\ 0 &   M^{\Omega+}_{eb} &   M^{\Omega+}_{ee} \end{array}\right]
% \left\{\begin{array}{c}\ddot{u}_i \\ \ddot{u}_b \\  \ddot{w}_e\end{array}\right\}
% +\\
% \left[ \begin{array}{ccc}K^\Omega_{ii} &   K^{\Omega}_{ib}  &  0 \\
%  K^{\Omega}_{bi} &   K^{\Omega}_{bb}+K^{\Omega+}_{bb} &  K^{\Omega+}_{be} \\
%  0 & K^{\Omega+}_{eb} &   K^{\Omega+}_{ee} \end{array}\right]
%   \left\{\begin{array}{c} u_i \\  u_b \\  w_e \end{array} \right\}
%    = \nonumber \\ \left\{\begin{array}{c} 0 \\ -M^{\Omega+}_{be} \ddot{u}^0_e-K^{\Omega+}_{be}u^0_e
%    \\ M^{\Omega+}_{eb}\ddot{u}^0_b+K^{\Omega+}_{eb}u^0_b\end{array}\right\}
% \label{DRMeq08}
% \end{eqnarray*}
% \end{small}
% 
% 
% %\vspace*{-1cm}
% \begin{figure}[!h]
% \begin{flushright}
% \includegraphics[width=4cm]{/home/jeremic/tex/works/psfigures/DRM_NPP_idea01.pdf}
% \end{flushright}
% \end{figure}
% 
% 
% \end{frame}



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{DRM}
% 
% 
% 
% 
% The    right   hand side  is the dynamically consistent
% replacement  force, so  called effective force, $P^{eff}$ for the source forces  $P_{e}$
% 
% 
% 
%   \begin{eqnarray*}
% P^{eff} = \left\{\begin{array}{c} P^{eff}_i \\ P^{eff}_b \\ P^{eff}_e \end{array}\right\}
% = \left\{\begin{array}{c} 0 \\ -M^{\Omega+}_{be} \ddot{u}^0_e-K^{\Omega+}_{be}u^0_e
%    \\ M^{\Omega+}_{eb}\ddot{u}^0_b+K^{\Omega+}_{eb}u^0_b\end{array}\right\}
% \label{DRMeq09}
% \end{eqnarray*}
% %
% 
% 
% %\vspace*{-1cm}
% \begin{figure}[!h]
% \begin{flushright}
% \includegraphics[width=4cm]{/home/jeremic/tex/works/psfigures/DRM_NPP_idea01.pdf}
% \end{flushright}
% \end{figure}
% 
% 
% 
% \end{frame}
% 
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{DRM}



DRM features:

\begin{itemize}
%\vspace*{-0.2cm}
%  \item[-]  Seismic forces $P_e$  replaced by $P^{eff}(\ddot{u}^0_{b},u^0_{b},\ddot{u}^0_{e},u^0_{e},  $
  \item[-]  Seismic forces $P_e$  replaced by $P^{eff}({u}^0_{boundary},u^0_{external})$

%\vspace*{-0.2cm}
  \item[-] $P^{eff}$ applied only to a  single layer of elements
%\vspace*{-0.2cm}
  \item[-] Material inside $\Omega$ can be elastic-plastic
%\vspace*{-0.2cm}
%\vspace*{-0.2cm}

%  \item[-] Any wave field can be input/imposed

%  \item[-] We can also neglect the outside ($\Omega^+$) problems thus reducing model size
  \item[-] Neglect the outside ($\Omega^+$) problem
  \item[-] Only outgoing waves 

% \item[-]  The only input wave field is the one for the nodes of this layer of elements.
\end{itemize}

\vspace*{3mm}

\begin{small}
  \begin{eqnarray*}
P^{eff} = \left\{\begin{array}{c} P^{eff}_i \\ P^{eff}_b \\ P^{eff}_e \end{array}\right\}
= \left\{\begin{array}{c} 0 \\ -M^{\Omega+}_{be} \ddot{u}^0_e-K^{\Omega+}_{be}u^0_e
   \\ M^{\Omega+}_{eb}\ddot{u}^0_b+K^{\Omega+}_{eb}u^0_b\end{array}\right\}
\label{DRMeq09}
\end{eqnarray*}
\end{small}
%



\vspace*{-38mm}
\begin{figure}[!h]
\begin{flushright}
%\vspace*{-0.50cm}
%\begin{center}
%\hspace*{1cm}
%\vspace*{-3.50cm}
%{\includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2010/NRC-LBL-ProjectReviewMeeting_21_22_Sept_2010/DRM05NPP.pdf}}
%
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/tex_works_psfigures_DRM_NPP_idea03_with_element.pdf}}
%\vspace*{-5.50cm}
%\hspace*{1cm}
%\vspace*{-2.50cm}
%\end{center}
%\vspace*{-0.3cm}
\end{flushright}
\end{figure}


\end{frame}




























%     
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Cruas NPP FEM Analysis}
     
         

\vspace*{4mm}

% \begin{itemize}
% 
% 
% \vspace*{2mm}
% \item[-] Cruas NPP FEM model for  Real-ESSI
% 
% %\vspace*{2mm}
% %\item[-] Collaboration with the ETH-Zuerich  on model development
% 
% %\vspace*{1mm}
% %\item[-] \url{http://sokocalo.engr.ucdavis.edu/~jeremic/for_US-NRC/Model_Cruas_NPP_03Jun2024/}
% 
% 
% \end{itemize}




\hspace*{-30mm}
\begin{figure}[!h]
\begin{center}
\hspace*{-30mm}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_cross_section.png}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_DRM_model.png}
\hspace*{-30mm}
\end{center}
\end{figure}
\hspace*{-30mm}


\end{frame}



      









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\subsection{Cruas NPP Analysis}

%    
% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{NRC/LBNL EQ, Regional Scale Model}
     
         


 
\begin{figure}[!h]
\begin{center}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_model-2d-ela.pdf}
%\caption{\label{Cruas_NPP_model-2d-ela} FE model used in the preliminary \twoD simulation of the Le Teil earthquake}
\end{center}
\end{figure}
%

\begin{itemize}

  \item[-] Wave propagation, shallow source, layered


  \item[-] Rayleigh and Stonely waves


  \item[-] 2D model, plane, $25^{o}$ east of north (N$25^{o}$E)


  \item[-] Cruas NPP location geology


  \item[-] Goal is to recreate similar surface waves



\end{itemize}



\end{frame}


   
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{NRC/LBNL EQ, Disp., $1.3$km away, Surface ($-0m$)}
     
         


 
\begin{figure}[!h]
\begin{center}
\includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_disp-hodo-2D-ela-z0.pdf}
%\caption{\label{Cruas_NPP_model-2d-ela} FE model used in the preliminary \twoD simulation of the Le Teil earthquake}
\end{center}
\end{figure}
%


\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{NRC/LBNL EQ, Disp., $1.3$km away, Rock ($-20m$)}
%      
%          
% 
% 
%  
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_disp-hodo-2D-ela-z20.pdf}
% %\caption{\label{Cruas_NPP_model-2d-ela} FE model used in the preliminary \twoD simulation of the Le Teil earthquake}
% \end{center}
% \end{figure}
% %
% 
% 
% \end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{NRC/LBNL EQ, Acc., $1.3$km away, Surface ($-0m$)}
     
         


 
\begin{figure}[!h]
\begin{center}
\includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_acc-hodo-2D-ela-z0.pdf}
%\caption{\label{Cruas_NPP_model-2d-ela} FE model used in the preliminary \twoD simulation of the Le Teil earthquake}
\end{center}
\end{figure}
%


\end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{NRC/LBNLEQ, Acc.  $1.3$km away, Rock ($-20m$)}
%      
%          
% 
% 
%  
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=9.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_acc-hodo-2D-ela-z20}
% %\caption{\label{Cruas_NPP_model-2d-ela} FE model used in the preliminary \twoD simulation of the Le Teil earthquake}
% \end{center}
% \end{figure}
% %
% 
% 
% \end{frame}
% 
   


















% 
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \subsection{Cruas NPP FEM Analysis}
%  



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% 




% %     
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Cruas NPP Model}
%      
%          
% 
% \vspace*{4mm}
% \begin{itemize}
% 
% 
% \vspace*{2mm}
% \item[-] Real-FEI model for Structure/slab finalized
% 
% \vspace*{2mm}
% \item[-] Collaboration with the ETH-Zuerich  on model development
% 
% %\vspace*{1mm}
% %\item[-] \url{http://sokocalo.engr.ucdavis.edu/~jeremic/for_US-NRC/Model_Cruas_NPP_03Jun2024/}
% 
% 
% \end{itemize}
% 
% 
% 
% 
% %\hspace*{5mm}
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_cross_section.png}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
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% 

    

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%   %\caption{\label{Cruas_NPP_stations} Locations of the free-field instruments at the Cruas NPP and near Le Teil}
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%   \includegraphics[width=8.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_Cruas_NPP/Cruas_NPP_soil_profiles.pdf}
%   %\caption{\label{Cruas_NPP_soil_profile} Shallow geology profiles at station~1 and station~2 at Cruas NPP}
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%     \item[-] Total mass, NPP (two slabs): $M = 409,829$~t
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%  \vspace*{2mm}
%     \item[-] Internal structure, $F^{is}_{1,2} = 3.9; 4.0$~Hz
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%     \item[-] Shield building, $F^{sb}_{1,2} = 4.2; 4.3$~Hz
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%     \item[-] NPP island on isolators ($M = 409,000$~t, $39,945$~MN ),   $F = 1.3$~Hz
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%  \vspace*{2mm}
%     \item[-] $M = 409,000$~t),   $F = 1.3$~Hz
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%       \item[-] Overall Compressional Stiffness, 1812 pads, \\ $K_c =
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%  %\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_xz_2.png}
%  %\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_yz_1.png}
%  %\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_yz_2.png}
%  \includegraphics[width=10.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_bottom.png}
%  %\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_22Apr2024/Cruas_NPP_model_graphics/CRUAS_model_top.png}
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%     
%      \item[-] Compressional Stiffness, per pad, \\ $K_c = 3,591.00$~MN/m
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% %\vspace*{3mm}
%      \item[-] Shear  Stiffness, per pad, \\ $K_s = 15.685.00$~MN/m
% 
% %\vspace*{3mm}
%      \item[-] Overall Compressional Stiffness, 1812 pads, \\ $K_c =
%      6,506,892.00$~MN/m
% 
% %\vspace*{3mm}
%      \item[-] Overall Shear Stiffness, 1812 pads, \\ $K_s = 28,421.22$~MN/m
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% \begin{figure}[!h]
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% \includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_15Jul2024/present/Cruas_NPP_elastomeric_pad.png}
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%    \item[-] Total mass, NPP (two slabs): $M = 409,829$~t
%  
% \vspace*{1mm}
%    \item[-] Internal structure, $F^{is}_{1,2} = 3.9; 4.0$~Hz
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% \vspace*{1mm}
%    \item[-] Shield building, $F^{sb}_{1,2} = 4.2; 4.3$~Hz
%  
% \vspace*{1mm}
%    \item[-] NPP island on isolators ($M = 409,000$~t, $39,945$~MN ), 
%  
% %\vspace*{1mm}
% %   \item[-] $M = 409,000$~t),  
%  
% % https://www.omnicalculator.com/physics/natural-frequency
% % https://www.omnicalculator.com/physics/natural-frequency#how-do-you-calculate-the-natural-frequency-of-a-coiled-spring
% \vspace*{1mm}
%      \item[-] Shear/Horizontal Stiffness $K_H = 28,421.22$~MN/m
% 
% \vspace*{1mm}
%      \item[-] Horizontal/shear eigen frequency $F_h = 1.32$~Hz
% 
% % https://www.omnicalculator.com/physics/natural-frequency
% % https://www.omnicalculator.com/physics/natural-frequency#how-do-you-calculate-the-natural-frequency-of-a-coiled-spring
% 
% \vspace*{1mm}
%      \item[-] Axial/Vertical Stiffness  $K_V = 6,506,892.00$~MN/m
% 
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% \vspace*{1mm}
%      \item[-] Vertical/axial eigen frequency $F_v = 20.075$~Hz
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%    \item[-]   $G=3.2$MPa $\rightarrow$ re-calibration from eigen analysis
%    \item[-]  Shear stiffness re-calibration $K_S=19.7$MN/m 
%    \item[-]  Original shear stiffnes $K_S=15.7$MN/m 
%  \end{itemize}
% 
% %\vspace*{-50mm}
% \begin{figure}[!h]
% \begin{center}
% %\hspace*{-5mm}
% \includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_base_isolators_01.png}
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%  \frametitle{Fukushima NPP: Vertical Isolator Amplification  +80\% }
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% \vspace*{10mm}
% 
% \begin{figure}[!hbpt]
% \begin{center}
% \hspace*{-20mm}
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Conferences/2024/DOE_Natural_Hazard_Phenomena_at_NRC_29-30Oct2024/present/Fukushima_NPP_vertical_amplification_01.jpg}
% \hspace*{5mm}
% \includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Conferences/2024/DOE_Natural_Hazard_Phenomena_at_NRC_29-30Oct2024/present/Fukushima_NPP_vertical_amplification_02.jpg}
% \hspace*{-20mm}
% \end{center}
% \end{figure}
% 
% 
% 
% \vspace*{5mm}
% \begin{flushleft}
% %{\tiny{Control Rod Drive System DAMAGE [TEPCO]}}
% {{Base isolation, VERTICAL amplification (!)  [JAEE/LLNL, 2012]}}
% \end{flushleft}
% % 
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%    \item[-]  Observed/measured $F = 1.4$Hz
%  \vspace*{1mm}
%    \item[-]  Reminder, from SDOF analysis $F = 1.3$Hz
%  \end{itemize}
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% \begin{figure}[!h]
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% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_free_vibration_01.png}
% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_free_vibration_02.png}
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% 
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%  
% \item[-] Cruas NPP is about 150m long
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% \item[-] Assume $V_s = 800$m/s ($V_s = 800, 1600$m/s)
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% \includegraphics[width=8cm]{/home/jeremic/tex/works/consulting/2017/IAEA/TECDOC/Version_14Mar2017/1Dvs3x1Dvs3D_waves_02.pdf}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_wave_length_01.png}
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% \includegraphics[width=12cm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_wave_length_01.png}
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% \includegraphics[width=10.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_sensor_locations_01.png}
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%    \item[-] Analysis compares well in H direction
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%    \item[-] Analysis overpredicts V direction, use of 1D/1C P wave ?
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\vspace*{3mm}
   \item[-] Material properties as originally defined/provided


\vspace*{3mm}
   \item[-] Linear elastic material assumed, small motions

\vspace*{3mm}
  \item[-] Seismic motions:
    \begin{itemize}
      \item[-] $3  \times 1C $
      \item[-] $3/6C$
     \end{itemize}


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% \url{http://sokocalo.engr.ucdavis.edu/~jeremic/for_US-NRC/SMATCH_Analysis_Comparison_plots/}
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\vspace*{5mm}

\begin{itemize}
\vspace*{1mm}
  \item[-]  EAU $\rightarrow$ Analysis,  $3 \times 1C$ motions
\vspace*{1mm}
  \item[-] TH-EAU $\rightarrow$ Measurement
\end{itemize}



\vspace*{-30mm}


\begin{figure}[!h]
\begin{flushright}
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_sensor_locations_01.png}
\hspace*{-5mm}
\end{flushright}
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%\vspace*{-50mm}
\begin{figure}[!h]
\begin{center}
\hspace*{-15mm}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_001/Comparison_EAU_001_u_responseSpectra.pdf}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_001/Comparison_EAU_001_v_responseSpectra.pdf}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_001/Comparison_EAU_001_w_responseSpectra.pdf}
\hspace*{-15mm}
\end{center}
\end{figure}

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E-W  
\hspace*{32mm} 
N-S
\hspace*{32mm}
U-D
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% \begin{itemize}
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%   \item[-] 
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\vspace*{5mm}

\begin{itemize}
\vspace*{1mm}
  \item[-]  EAU $\rightarrow$ Analysis,  $3 \times 1C$ motions 
\vspace*{1mm}
  \item[-] TH-EAU $\rightarrow$ Measurement
\end{itemize}



\vspace*{-30mm}

\begin{figure}[!h]
\begin{flushright}
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_sensor_locations_01.png}
\hspace*{-5mm}
\end{flushright}
\end{figure}


%\vspace*{-50mm}
\begin{figure}[!h]
\begin{center}
\hspace*{-15mm}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_002/Comparison_EAU_002_u_responseSpectra.pdf}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_002/Comparison_EAU_002_v_responseSpectra.pdf}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_002/Comparison_EAU_002_w_responseSpectra.pdf}
\hspace*{-15mm}
\end{center}
\end{figure}

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E-W  
\hspace*{32mm} 
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\hspace*{32mm}
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% \begin{itemize}
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%   \item[-] 
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\vspace*{5mm}

\begin{itemize}
\vspace*{1mm}
  \item[-]  EAU $\rightarrow$ Analysis,  $3 \times 1C$ motions 
\vspace*{1mm}
  \item[-] TH-EAU $\rightarrow$ Measurement
\end{itemize}



\vspace*{-30mm}

\begin{figure}[!h]
\begin{flushright}
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2024/NRC_Monthly_telecon_SMATCH_Benchmark_04Sep2024/present/Cruas_NPP_sensor_locations_01.png}
\hspace*{-5mm}
\end{flushright}
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%\vspace*{-50mm}
\begin{figure}[!h]
\begin{center}
\hspace*{-15mm}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_003/Comparison_EAU_003_u_responseSpectra.pdf}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_003/Comparison_EAU_003_v_responseSpectra.pdf}
\includegraphics[width=4.0truecm]{/home/jeremic/public_html/for_US-NRC/SMATCH_Analysis_Comparison_plots/EAU_003/Comparison_EAU_003_w_responseSpectra.pdf}
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\vspace*{-3mm} 
E-W  
\hspace*{32mm} 
N-S
\hspace*{32mm}
U-D
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{/home/jeremic/tex/works/Thesis/JasonChen/Cruas_NPP_animations/Cruas_NPP_10x_slower.mp4}
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\begin{frame}
 \frametitle{Summary}


\begin{itemize}
    


%      \item[-] SMiRT-27 Report

  
% \vspace*{2mm}
%    \item[-] Analysis good in H direction
% 
% 
% \vspace*{1mm}
%    \item[-] Analysis overpredicts V direction, use of 1D/1C P wave ?
% 


\vspace*{3mm}
  \item[-] Unique opportunity for validation of SSI analysis


%\vspace*{-2mm}
\vspace*{3mm}
  \item[-]   
Effects of realistic seismic body and surface waves 



% \vspace*{3mm}
%   \item[-] 
% Realistic behavior of materials, elastic, inelastic
% %(soil, interfaces, concrete, steel) for stronger motions
% 

\vspace*{3mm}
   \item[-] Base isolators, response sensitivity to aging/stiffness



% \vspace*{3mm}
%    \item[-] Stress motions, test the resilience of SSI system
% 



\vspace*{15mm}

{\tiny
DISCLAIMER NOTICE: The findings and opinions expressed in this presentation are
those of the authors and do not necessarily reflect the view of the U.S. Nuclear
Regulatory Commission nor Lawrence Berkeley National Laboratory nor University
of California).
}

\vspace*{-5mm}


% 
% \vspace*{3mm}
% \item[-] Real-ESSI Simulator: \hspace*{3mm}
% \underline{\url{http://real-essi.us/}}
%    


% \vspace*{3mm}
%     \item[-] All d

% \vspace*{3mm}
%    \item[-] Issue of unintended base isolation, as per Bob Kennedy, water-stops,
%    plastic sheets, $\Phi \approx 23^{o}$ (only!)
% 
% \vspace*{1mm}
%    \item[-] Continued working on reporting
% % and interfaces/contacts
% 
% \vspace*{1mm}
%    \item[-] Realistic analysis, inelastic, QA, new ASCE-4
% 


% 
% 
% \vspace*{3mm}
%      \item[-] "NPP Analysis Guidance" in progress
% 
% %\vspace*{3mm}
% %     \item[-] "NPP Analysis Lessons Learned" in progress
% 
% \vspace*{3mm}
%      \item[-] ASCE-4 restart !
% 



\end{itemize}


\end{frame}


   


\end{document}

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