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% 
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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}
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    \usecolortheme[RGB={20,0,128}]{structure}

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

\definecolor{mycolor}{rgb}{0,0.08,0.45}%

\usepackage[english]{babel}



\usepackage{amsmath}
\usepackage{mathrsfs}
\usepackage{amsfonts}

\newcommand{\ud}{{\rm d}}


\usepackage{array}



%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
\definecolor{webgreen}{rgb}{0, 0.15, 0} % less intense green
\definecolor{webblue}{rgb}{0, 0, 0.15} % less intense blue
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\usepackage{pause}
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%\usepackage{html}
%\usepackage{url}

\usepackage[latin1]{inputenc}
% or whatever

\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.






%\title{NRC Staff Capacity Building: \\
%       Micromechanical Origins of Elasto-Plasticity }
\title[ESSI]
%      {Methods, Computational Platform, and          \\
%       Case Studies for Time-Domain                \\
%       Soil-Structures-Interaction \\
%       Modeling and Simulation \\
%       Incorporating Complex Seismic Loads\\
%       Introduction to the NRC ESSI Simulator System}
        {{\cyrsesnaest Numerichko modeliranje \\
           interakcije konstrukcije i tla u \\
           zemljotresnom inzhinjerstvu: \\
           ZEMLJOTRES
}}


%\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[Boris Jeremi{\'c}, CompGeoMech \includegraphics[width=8cm]{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}] % (optional, use only with lots of authors)
\author[{\cyrosam Jeremi\cj{}}] % (optional, use only with lots of authors)
{\cyrsesnaest Boris~Jeremi\cj{}}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.

% 
% 
% \author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
% %{Boris~Jeremi{\'c}}
% {Boris Jeremi{\'c}
% }

%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
%\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}\hspace*{0.1truecm}\pgfuseimage{ETH-logo}] % (optional, but mostly needed)
\institute[\pgfuseimage{university-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{~\vspace*{-5mm} \\
 Professor, University of California, Davis, CA, USA \\
%  and\\
%  Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley }
  Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley, CA, USA \\
%  Visiting Professor, Swiss Federal Institute of Technology, Z{\" u}rich, CH 
  }
% - 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)
{~\vspace*{-5mm} \\ 
\cyrdvanaest Srpsko udruzhenje za zemljotresno inzhenjerstvo 
         \\
         SUZI 
        \\
        17 Septembar 2020 
%        \\ ~
%        \\ ~
%          \\ ~  \vspace*{-8mm}
%  %        \\ ~
%          \flushleft{\hspace*{-10mm}\framebox{\rm \tiny please use google chrome to view this PDF 
%                                     so that animation links work }}
%        \lstinline|please use google chrome to view this PDF!
        }


\subject{}
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% 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}
% \logo{\pgfuseimage{university-logo}}




% Delete this, if you do not want the table of contents to pop up at
% the beginning of each subsection:
% \AtBeginSubsection[]
\setcounter{tocdepth}{2}
% \AtBeginSubsection[]
 \AtBeginSection[]
 {
   \begin{scriptsize}
   \begin{frame}<beamer>
     \frametitle{Outline}
%     \tableofcontents[currentsection,currentsubsection]
    \tableofcontents[currentsection]
   \end{frame}
   \end{scriptsize}
 }


% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command:





\begin{document}

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\begin{frame}
  \titlepage
\end{frame}

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\begin{frame}
  \frametitle{Outline}

   \begin{scriptsize}
  \tableofcontents
% You might wish to add the option [pausesections]
   \end{scriptsize}
\end{frame}

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% Structuring a talk is a difficult task and the following structure
% may not be suitable. Here are some rules that apply for this
% solution:

% - Exactly two or three sections (other than the summary).
% - At *most* three subsections per section.
% - Talk about 30s to 2min per frame. So there should be between about
%   15 and 30 frames, all told.

% - A conference audience is likely to know very little of what you
%   are going to talk about. So *simplify*!
% - In a 20min talk, getting the main ideas across is hard
%   enough. Leave out details, even if it means being less precise than
%   you think necessary.
% - If you omit details that are vital to the proof/implementation,
%   just say so once. Everybody will be happy with that.



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\section{Introduction}


%\subsection{Intro}



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\begin{frame}
 \frametitle{Motivation}

\begin{itemize}
  


%\vspace*{0.3cm}
  \item[-] Improve design and assessment of infrastructure objects

\vspace*{3mm}
  \item[-]  Use of high fidelity numerical models to  
  analyze behavior of 
  earthquake, soil, structure interacting (ESSI) systems


\vspace*{3mm}
  \item[-] Control modeling uncertainty




\vspace*{3mm}
  \item[-]  Propagate parametric uncertainty

  

\end{itemize}
\end{frame}
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\section{Ground Motions}


%\subsection*{Ground Motions}


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\begin{frame}
\frametitle{Earthquake Ground Motions}



\begin{itemize}


\vspace*{0.5cm}
\item[-]  Real earthquake ground motions
   \begin{itemize}
     \item[-] Body, P and S waves
     \item[-] Stoneley waves
     \item[-] Surface, Rayleigh and Love waves
     \item[-] Lack of correlation (incoherence)
     \item[-] Inclined waves
     \item[-] 3C. 6C waves
     \item[-] Uncertainty!

   \end{itemize}



\vspace*{0.5cm}
\item[-] What are the  effects of these earthquake ground motion features on structures



\end{itemize}




\end{frame}


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\begin{frame}
\frametitle{Body Primary (P) Waves}

%
\vspace*{-0.5cm}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=5cm, angle=45]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/P_body_wave.jpeg}
%\caption{\label{P_body_wave} Visualization of propagation of a compressional (P)
%body seismic wave (illustrations are from MTU web site).}
\end{center}
\end{figure}
%



\end{frame}

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\begin{frame}
\frametitle{Body Secondary (S) Waves}


\vspace*{-0.3cm}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=5cm, angle=45]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/S_body_wave.jpeg}
%\caption{\label{S_body_wave} Visualization of propagation of a Secondary (S)
%body seismic wave (illustrations are from MTU web site).}
\end{center}
\end{figure}


\end{frame}


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\begin{frame}
\frametitle{Surface Rayleigh Waves}

\vspace*{-0.1cm}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=6cm]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/Rayleigh_surface_wave.jpeg}
%\caption{\label{Rayleigh_surface_wave}   Visualization   of   propagation  of  a
%Rayleigh surface seismic wave (illustrations are from MTU web site).}
\end{center}
\end{figure}



\end{frame}

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\begin{frame}
\frametitle{Surface Love Wave}


\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=6cm]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/Love_surface_wave.jpeg}
%\caption{\label{Love_surface_wave}   Visualization  of  propagation  of  a  Love
%surface seismic wave (illustrations are from MTU web site).}
\end{center}
\end{figure}

\end{frame}


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\begin{frame}
 \frametitle{Body and Surface Waves}


% local
% local
% local
\vspace*{-2mm}
\begin{center}
%\movie[label=show3,width=8.5cm,poster,autostart,showcontrols,loop]
%\hspace*{-6mm}
% %\movie[label=show3,width=6.0cm,autostart,showcontrols]
% \movie[label=show3,width=6.0cm,poster]
%   {\includegraphics[width=60mm]{movie_input_mp4_icon.jpeg}}{movie_input.mp4}
% \hspace*{-2mm}
% %\hfill
\hspace*{-20mm}
\movie[label=show3,width=110mm,autostart,showcontrols]
%\movie[label=show3,width=90mm,poster]
  {\includegraphics[width=120mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_mp4_icon.jpeg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4}
\hspace*{-12mm}
\end{center}
% local
% local
% local
%


\end{frame}







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\begin{frame}
 \frametitle{Zoom in on Motions}


% local
% local
% local
\vspace*{-2mm}
\begin{center}
%\movie[label=show3,width=8.5cm,poster,autostart,showcontrols,loop]
\hspace*{-12mm}
% %\movie[label=show3,width=6.0cm,autostart,showcontrols]
% \movie[label=show3,width=6.0cm,poster]
%   {\includegraphics[width=60mm]{movie_input_mp4_icon.jpeg}}{movie_input.mp4}
% \hspace*{-2mm}
% %\hfill
% %\hspace*{-7mm}
% %\movie[label=show3,width=5.3cm,poster,autostart,showcontrols]
\movie[label=show3,width=100mm,showcontrols]
  {\includegraphics[width=100mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.mp4}
\hspace*{-12mm}
\end{center}
% local
% local
% local
%


\end{frame}

% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{1C vs 6C Free Field Motions}
% 
% 
% 
%  
% \begin{itemize}
% 
%   \item[-] One component of motions, 1C from  6C
% %  or 3$\times$1D (it is done all the time!)
% 
%   \item[-]  Excellent fit
% %  (goal is to predict and inform and not (force) fit)
% 
% 
% \end{itemize}
% 
% 
% 
% 
% % local
% %\vspace*{-2mm}
% \begin{center}
% \hspace*{-16mm}
% %\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
% \movie[label=show3,width=61mm,poster, showcontrols]
%   {\includegraphics[width=60mm]{/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_ff_3d_mp4_icon.jpeg}}
%   {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4}
% %\hspace*{-2mm}
% %\hfill
% %\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
% \movie[label=show3,width=61mm,poster, showcontrols]
%   {\includegraphics[width=60mm]
%   {/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_ff_1d_mp4_icon.jpeg}}
%   {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4}
% \hspace*{-16mm}
% \end{center}
% % local
% 
% 
% % online
% \begin{center}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% {\tiny (MP4)}
% %
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
%  {\tiny (MP4)}
% \end{center}
% % online
% 
% 
% 
% 
% 
% 
% % out      
% % out  % local
% % out  %\vspace*{-2mm}
% % out  \begin{center}
% % out  \hspace*{-16mm}
% % out  %\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
% % out  \movie[label=show3,width=61mm,poster, showcontrols]
% % out    {\includegraphics[width=60mm]{movie_ff_3d_mp4_icon.jpeg}}{movie_ff_3d.mp4}
% % out  % \hspace*{-16mm}
% % out  % \end{center}
% % out  % %  
% % out  % %
% % out  % %
% % out  % \begin{center}
% % out  % \hspace*{-16mm}
% % out  \movie[label=show3,width=61mm,poster, showcontrols]
% % out    {\includegraphics[width=60mm]{movie_ff_1d_mp4_icon.jpeg}}{movie_ff_1d.mp4}
% % out  \hspace*{-16mm}
% % out  \end{center}
% % out  %
% % out  
% % out  \begin{flushleft}
% % out  %\vspace*{-15mm}
% % out  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% % out  %  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
% % out    {\tiny (MP4)}
% % out  %
% % out  \hspace*{55mm}
% % out  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% % out  %  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
% % out    {\tiny (MP4)}
% % out  \end{flushleft}
% % out  %
% % out  
% % out  
% % out  
% % out  % online
% % out  % online  \begin{center}
% % out  % online  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% % out  % online    {\includegraphics[width=50mm]{movie_ff_3d_mp4_icon.jpeg}}
% % out  % online  %
% % out  % online  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% % out  % online    {\includegraphics[width=50mm]{movie_ff_1d_mp4_icon.jpeg}}
% % out  % online  \end{center}
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% 



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Body Primary (P) Waves}
% 
% %
% \vspace*{-0.5cm}
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=5cm, angle=45]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/P_body_wave.jpeg}
% %\caption{\label{P_body_wave} Visualization of propagation of a compressional (P)
% %body seismic wave (illustrations are from MTU web site).}
% \end{center}
% \end{figure}
% %
% 
% 
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Body Secondary (S) Waves}
% 
% 
% \vspace*{-0.3cm}
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=5cm, angle=45]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/S_body_wave.jpeg}
% %\caption{\label{S_body_wave} Visualization of propagation of a Secondary (S)
% %body seismic wave (illustrations are from MTU web site).}
% \end{center}
% \end{figure}
% 
% 
% \end{frame}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Surface Rayleigh Waves}
% 
% \vspace*{-0.1cm}
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=5.5cm]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/Rayleigh_surface_wave.jpeg}
% %\caption{\label{Rayleigh_surface_wave}   Visualization   of   propagation  of  a
% %Rayleigh surface seismic wave (illustrations are from MTU web site).}
% \end{center}
% \end{figure}
% 
% 
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Surface Love Wave}
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=5.5cm]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Presentation/Love_surface_wave.jpeg}
% %\caption{\label{Love_surface_wave}   Visualization  of  propagation  of  a  Love
% %surface seismic wave (illustrations are from MTU web site).}
% \end{center}
% \end{figure}
% 
% \end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Importance of Rayleigh Waves}
% 
% 
% \begin{itemize}
% 
% %\item[-] Rayleigh waves become significant source of seismic motions at distance
% %$R  =  h  /  (\sqrt{(v_p/v_R)^2 - 1 })$ where h is hypocenter depth, for IDEAL uniform
% %half-space, (Kramer 1996)
% %% Kramer pp161
% %
% %\item[-] For example for $v_R \approx 0.93 v_S = 0.93 \times 0.6 v_p = 0.56 v_p$ it
% %follows  that  $R \approx 1.5 h$, while for layered soil/rock, distance is
% %(much) smaller due to geology (Semblat and Pecker, 2009)
% %% Semblat pp 179
% 
% %\item[-]  Rayleigh  waves  do  carry majority of seismic energy to distance, 
% %responsible for peak accelerations at distance
% %% Kramer, Semblat
% 
% \vspace*{3mm}
% \item[-]  Rayleigh  waves  are  produced by interaction of  of P- and SV-waves with
% soil/rock surface
% %Kramer
% 
% \vspace*{3mm}
% \item[-] Velocity of Rayleigh decreases with increase in frequency
% %Kramer
% 
% \vspace*{3mm}
% \item[-]  Dispersive, Rayleigh  waves, waves with a higher frequency, short wave
% length, low depth of propagation, travel more  slowly
% 
% \end{itemize}
% %
% \end{frame}
% 
% 







% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Earthquake Motions and the Horizontally Layered Geology}
% 
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=10cm]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Reports/SeismicWavePropagation01.pdf}
% %\caption{\label{SeismicWavePropagation01}  Propagation  of seismic waves in nearly
% %horizontal  local  geology,  with stiffness of soil/rock layers increasing with
% %depth, and refraction of waves toward the vertical direction.}
% \end{center}
% \end{figure}
% %
% 
% 
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% % \frametitle{Earthquake Motions with any Geology}
% % 
% % 
% % 
% % \begin{figure}[!hbpt]
% % \begin{center}
% % \includegraphics[width=10cm]{/home/jeremic/tex/works/consulting/2010/CanadianNuclearSafetyComission/Reports/SeismicWavePropagation02.pdf}
% % %\caption{\label{SeismicWavePropagation01}  Propagation  of seismic waves in nearly
% % %horizontal  local  geology,  with stiffness of soil/rock layers increasing with
% % %depth, and refraction of waves toward the vertical direction.}
% % \end{center}
% % \end{figure}
% % %
% % 
% % 
% % 
% % \end{frame}
% % 
% % % %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %\begin{frame}
% % %\frametitle{3C/6C Inclined Waves}
% % %
% % %\begin{itemize}
% % %\vspace*{2mm}
% % %  \item[-] Geologic layering
% % %
% % %\vspace*{2mm}
% % %  \item[-] Superposition, positive and negative interference  of body and surface waves
% % %
% % %\vspace*{2mm}
% % %  \item[-] Distance from the causal fault (vertical, horizontal)
% % %
% % %%\vspace*{2mm}
% % %%  \item[-] 6C (and not 3C) is perhaps a better way to characterize seismic waves
% % %
% % %\vspace*{2mm}
% % %  \item[-] Soil/Rock -- Structure Interaction effects contribute to occurence of 6C waves
% % %\end{itemize}
% % %
% % %
% % %
% % %
% % %\end{frame}
% % %
% % %
% % %% \subsection*{Fundamentals}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Recent Japanese Earthquake as an Examples (ACC)}
% 
% 
% \vspace*{-2cm}
% \begin{figure}[!h]
% \begin{center}
% {\includegraphics[width=7.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_acc4.jpg}}
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% \begin{frame}
% \frametitle{Recent Japanese Earthquake as an Examples (DSP)}
% 
% 
% \vspace*{-2cm}
% \begin{figure}[!h]
% \begin{center}
% {\includegraphics[width=7.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_dsp4.jpg}}
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% \begin{frame}
% \frametitle{3C/6C Motions}
% 
% 
% \vspace*{-2cm}
% \begin{figure}[!h]
% \begin{center}
% {\includegraphics[width=3.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Tohoku_1Hz-11-locations.jpg}}
% {\includegraphics[width=6.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Tohoku_1Hz-21.jpg}}
% \end{center}
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% 
% 
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% 
% 
% \end{frame}
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% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% % \frametitle{ERI, Tokyo Motions}
% % 
% % 
% % %\vspace*{-1cm}
% % \begin{figure}[!h]
% % \begin{center}
% % {\includegraphics[width=6.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/ERI_waveformDisp.jpg}}
% % \end{center}
% % \end{figure}
% % \vspace*{-0.2cm}
% % 
% % \end{frame}
% % 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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\begin{frame}
\frametitle{T\={o}hoku Earthquake Slip Sequence}

\vspace*{-1.5cm}
\begin{figure}[!h]
\begin{center}
{\includegraphics[width=8.0cm]{/home/jeremic/tex/works/Conferences/2020/online_ESSI_lectures/Seismic_Motions/Intro/Tohoku_earthquake_sequence_11Mar2011.jpg}}
\end{center}
\end{figure}
\vspace*{-0.2cm}


\href{http://www.japanquakemap.com/}{http://www.japanquakemap.com/}
\vspace*{-2cm}



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% \begin{frame}
% \frametitle{Christchurch Earthquake Maps}
% 
% 
% \vspace*{-1.5cm}
% \begin{figure}[!h]
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% {\includegraphics[width=7.0cm]{/home/jeremic/tex/works/Conferences/2020/online_ESSI_lectures/Seismic_Motions/Intro/Christchurche_quake_map_sequence_25largest.jpg}}
% \end{center}
% \end{figure}
% \vspace*{-0.2cm}
% 
% 
% \href{http://www.christchurchquakemap.co.nz/}{http://www.christchurchquakemap.co.nz/}
% \vspace*{-2cm}
% 
% 
% 
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% \begin{frame}
%   \frametitle{Lotung, Taiwan ('86) Motions}
% 
% \vspace*{2mm}
% 
% \begin{itemize}
% 
%    \item[-]  Example of 2C motion (?), LSST07, LSST12
% \vspace*{2mm}
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-10mm}
% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST07_FA25.jpeg}
% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST12_FA25.jpeg}
% \hspace*{-10mm}
% %
% \end{center}
% \end{figure}
%    
% 
% %
% %   \item[-]  1D (?): M 6.9 San Pablo, Guatemala EQ, 14Jun2017
% %
% \end{itemize}
% 
% 
% \end{frame}
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% 
% \begin{frame}
%   \frametitle{San Pablo, Guatemala (2017) Motions}
% 
% \vspace*{2mm}
% 
% data from  \url{http://www.strongmotioncenter.org/}
% 
% %\vspace*{-5mm}
% 
% 
% \begin{figure}[!hbpt]
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% %
% \hspace*{-10mm}
% \includegraphics[width=5.5truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__01_Guatemala_14Jun2017.jpg}
% \\
% \hspace*{-10mm}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__02_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.6truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__03_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__04_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__05_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__06_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__07_Guatemala_14Jun2017.jpg}
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%  - out for SUZI   





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%\subsection{Incoherence, Lack of Correlation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Spatial Variability, Incoherence, Lack of Correlation}

Incoherence $\rightarrow$ frequency domain

\vspace*{0.2cm}

Lack of Correlation $\rightarrow$ time domain


\vspace*{0.5cm}

\begin{itemize}
  \item[-] Attenuation effects
  \item[-] Wave passage effects
  \item[-] Extended source effects
  \item[-] Scattering effects
  \item[-] Variable seismic energy dissipation
\end{itemize}

%%\begin{figure}[!htb]
%%\begin{center}
%\vspace*{-2cm}
%\hspace*{5.5cm}
%{\includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2010/NRC-LBL-ProjectReviewMeeting_21_22_Sept_2010/Lack_of_Correlation_5_points.pdf}
%%\caption{\label{LC} Four main sources contributing to the lack of correlation of
%%seismic waves as measured at two observation points.}
%%\end{center}
%%\end{figure}


\end{frame}

% - 
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  \begin{frame}
% -  \frametitle{Attenuation Effects}
% -  
% -  
% -  Responsible for change in amplitude and phase of seismic motions
% -  due to the distance between observation points and losses (damping, energy dissipation) that
% -  seismic wave experiences along that distance. This is a significant source of lack of correlation
% -  for long structures (bridges), however for NPPs it is not of much significance.
% -  
% -  
% -  %\begin{figure}[!htb]
% -  \begin{center}
% -  %\vspace*{-2cm}
% -  %\hspace*{5.5cm}
% -  \includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Lack_of_Correlation_5_points.pdf}
% -  %\caption{\label{LC} Four main sources contributing to the lack of correlation of
% -  %seismic waves as measured at two observation points.}
% -  \end{center}
% -  %\end{figure}
% -  
% -  
% -  
% -  \end{frame}
% -  
% -  
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  \begin{frame}
% -  \frametitle{Wave Passage Effects}
% -  
% -   Contribute  to  lack of correlation due to diference in
% -   recorded  wave  field  at  two  location  points as the (surface) wave travels,
% -   propagates from the first to second point.
% -  
% -  \begin{center}
% -  %\hspace*{5.5cm}
% -  \includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Lack_of_Correlation_5_points.pdf}
% -  \end{center}
% -  
% -  
% -  \end{frame}
% -  
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  \begin{frame}
% -  \frametitle{Extended Source Effects}
% -  
% -  Contribute to lack of correlation by creating a complex wave source
% -  field, as the fault ruptures, rupture propagates and generate seismic sources along the fault.
% -  Seismic energy is thus emitted from different points (along the rupturing fault) and will have
% -  different travel path and timing as it makes it observation points.
% -  
% -  
% -  \begin{center}
% -  %\hspace*{5.5cm}
% -  \includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Lack_of_Correlation_5_points.pdf}
% -  \end{center}
% -  
% -  \end{frame}
% -  
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  \begin{frame}
% -  \frametitle{Scattering Effects}
% -  
% -   Responsible  to  lack  of  correlation  by creating a
% -   scattered wave field.
% -  Scattering  is due to (unknown or not known enough) subsurface geologic features
% -  that contribute to (elastic) modification of the wave field.
% -  
% -  
% -  \begin{center}
% -  %\hspace*{5.5cm}
% -  \includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Lack_of_Correlation_5_points.pdf}
% -  \end{center}
% -  
% -  
% -  
% -  \end{frame}
% -  
% -  
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  \begin{frame}
% -  \frametitle{Variable Seismic Energy Dissipation}
% -  
% -  Contribute  to  variability  of seismic motions by bending seismic waves as they
% -  pass through inelastic soi/rock.
% -  Variable  seismic  energy  dissipation  is  due to (unknown or not known enough)
% -  subsurface   geologic  features  that contribute to (inelastic, elastic-plastic)
% -  modification of the wave field.
% -  
% -  
% -  \begin{center}
% -  %\hspace*{5.5cm}
% -  \includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Lack_of_Correlation_5_points.pdf}
% -  \end{center}
% -  
% -  
% -  
% -  
% -  \end{frame}
% -  
% -  
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - \begin{frame}
% - \frametitle{Modeling Lack of Correlation (Incoherence)}
% - 
% - \begin{itemize}
% - 
% - \item[-] A number of models available (Abrahamson...)
% - 
% - \item[-] Most of the models (all) are based on a (very) limited data set from Lotung, Pinyon Flat...
% - 
% - \item[-] Most of the models (all) based on hard rock data 
% - %($V_s > 2600$m/s)
% - 
% - %\item[-]  Most  of the models (all) can produce statistically significant number of
% - %motions, yet only few are used (destroying the model statistical assumptions)
% - 
% - \item[-] Incoherence models assume that waves are not dispersive (however, they are!)
% - 
% - \item[-]  Lack  of  differentiation  between  soil  sites  and rock sites, sources,
% - directivity 
% - 
% - \item[-]  Ergodic  assumption  must  be  made  in order to extrapolate models
% - to other parts of the world
% - 
% - 
% - %\item[-] Extrapolations can be  (are) dangerous
% - 
% - 
% - \end{itemize}
% - 
% - 
% - \end{frame}
% - 
% - 
% - 
% - 
% - 
% - 
% - 
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - 
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - \begin{frame}
% - \frametitle{Incohrent Seismic Motions}
% - 
% - 
% - 
% - \begin{figure}[h]
% - \begin{center}
% - \includegraphics[width=9cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/incoherent_motion_x_v2.pdf}
% - \end{center}
% - %\caption{\label{Fig_incoherent_grid_motion} Incoherent motions for two corner
% - %points on $250m$ $\times$ $250m$ with the largest separate distance.}
% - \end{figure}
% - 
% - 
% - 
% - \begin{itemize}
% - 
% - \item[-]
% - 
% - \end{itemize}
% - 
% - 
% - \end{frame}
% - 
% - 
% - 
% - 
% - 
% - 
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - 
% - 
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% - \begin{frame}
% - \frametitle{Recorded Motions, EQ120111, $2 \times 1$C}
% - 
% - 
% - \begin{figure}[!htb]
% - \begin{center}
% - %\subfloat[Acceleration EQ120111]{
% - \includegraphics[width=4cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/Tall_building_acc_120111_medium1_baseline.pdf}
% - %\subfloat[Displacement EQ120111]{
% - \includegraphics[width=4cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/Tall_building_dis_120111_medium1_baseline.pdf}
% - \\
% - %\subfloat[Acceleration EQ120112]{
% - \includegraphics[width=4cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/Tall_building_acc_120112_medium2_baseline.pdf}
% - %\subfloat[Displacement EQ120112]{
% - \includegraphics[width=4cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/Tall_building_dis_120112_medium2_baseline.pdf}
% - \end{center}
% - %\caption{\label{Fig_EQ120111_EQ120112_records} Two horizontal components ($2 \times 1$C) un-scaled seismogram from earthquake record 120111 and earthquake record 120112.}
% - \end{figure}
% - 
% - 
% - 
% - 
% - \begin{itemize}
% - 
% - \item[-]
% - 
% - \end{itemize}
% - 
% - 
% - \end{frame}
% - 
% - 
% - 
% - 



% - 
% - 
% - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{1C, 1D Wave Propagation}



\begin{figure}[!htb]
\begin{center}
%\subfloat[Surface input and nonlinear surface site response]{
\hspace*{-15mm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/DP/acc_inelastic_propagation_surface_compare_DP_hyperbolic_original.pdf}
%\subfloat[Nonlinear site response]{
\includegraphics[width=6cm]{/home/jeremic/tex/works/Reports/2020/ATC-144-buildings/ATC_building_report_git/ATC_building_report/images/DP/acc_inelastic_propagation_depth_DP_hyperbolic_original.pdf}
\hspace*{-15mm}
\end{center}
\vspace*{-15mm}
%\caption{\label{Fig_DP_AF_Original_PGA} Inelastic site response under hyperbolic Drucker Prager model with Armstrong Frederick Kinematic Hardening material and surface input acceleration PGA 1 g (scale factor 2.022), soil material model SM-EP3.}
\end{figure}



\begin{itemize}

\item[-]

\end{itemize}


\end{frame}



















  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame} 
\frametitle{Seismic Risk Analysis (SRA)}

% 
\begin{itemize}
%\vspace{2mm}

\item[-] Intensity measure (IM) selected as a proxy for ground motions, 
usually Spectral acceleration $Sa(T_0)$

\vspace{4mm}
\item[-] Ground Motion Prediction Equations (GMPEs) need development, ergodic or site specific 

\vspace{4mm}
\item[-] Probabilistic seismic hazard analysis (PSHA)
% for ground motion $\lambda(Sa>z)$
% \begin{equation*}
% \resizebox{0.85\hsize}{!}{%
% $\lambda(Sa>z) = \sum_{i=1}^{NFL} \underbrace{N_i \int\int f_{mi}(M) f_{ri}(R|M)}_\text{seismic source characterization (SSC)} \underbrace{P(Sa>z|M, R)}_\text{GMPE} dM dR$}
% \end{equation*}

\vspace{4mm}
\item[-] Fragility analysis $P(EDP>x|IM=z)$, deterministic time domain FEM,
Monte Carlo (MC)

%  \begin{itemize}
% 
%     \item[-] Records selection: Spectrum-matching technique UHS, etc   
% 
%     \item[-] Incremental dynamic analysis: Monte Carlo 
% 
%   \end{itemize}



\end{itemize}

% \begin{textblock}{15}(2.2, 9.2)
% \begin{figure}[H]
% \flushleft
% % \includegraphics[width=0.38\linewidth]{pic/hazard_curve.png}
% \includegraphics[width=0.38\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/hazard_curve.pdf}
% \enspace
% \includegraphics[width=0.35\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/design_spectra.png}
% \end{figure}
% \end{textblock}


\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \subsection{Issues in State-of-the-art SRA}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame} 

\frametitle{Seismic  Risk Analysis Challenges}

\begin{itemize}

\vspace{4mm}
\item[-] Miscommunication between seismologists and structural engineers,
$Sa(T_0)$ not compatible with nonlinear FEM

\vspace{4mm}
\item[-] IMs difficult to choose, Spectral Acc, PGA, PGV...


\vspace{4mm}
\item[-] Single IM does not contain all/most uncertainty

\vspace{4mm}
\item[-] Monte Carlo, not accurate enough for tails 

\vspace{4mm}
\item[-] Monte Carlo, computationally expensive, CyberShake for LA, 20,000
cases, 100y runtime, (Maechling et al. 2007)




\end{itemize}

\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%







  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}

\frametitle{Stochastic Seismic Motion Development}

\begin{itemize}
 \item UCERF3 (Field et al. 2014)
 \item Stochastic motions (Boore 2003) 
 \item Polynomial Chaos Karhunen-Lo{\`e}ve expansion
 \item Domain Reduction Method for $P_{eff}$ (Bielak et al. 2003)
\end{itemize}

\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/UCERF3.pdf}
\includegraphics[width=3.0cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/SMSIM.pdf}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/KL_exact_dis_correlation_from_dis.pdf}
\end{center}
\end{figure}

% 
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/structural_uncertainty.pdf}
%  \end{center}
%  \end{figure}
%  
%  
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/probabilsitc_evolution.png}
%  \end{center}
%  \end{figure}
%  
%  
%  
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/seismic_risk_result_framework.png}
%  \end{center}
%  \end{figure}
%  
%  
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%






%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame} 
\frametitle{Uncertain Model Description}

\begin{textblock}{15}(0.3, 3.4)
\includegraphics[width=0.70\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/example_illustration.png}
\end{textblock}


\begin{textblock}{15}(1.2, 11.6)
\scriptsize
\begin{itemize}
\item Fault 1: San Gregorio fault 
\item Fault 2: Calaveras fault
\item Uncertainty: Segmentation, \\ slip rate, rupture geometry, etc.
\end{itemize} 
\end{textblock}


\begin{textblock}{15}(7.2, 11.7)
\scriptsize
\begin{itemize}
\item $Vs_{30}=620m/s$
\item $m=100kips/g$
\item $\overline{k} = 168kip/in$
\end{itemize}
\end{textblock}

\begin{textblock}{15}(9.7, 6.5)
\scriptsize
\[Cov_k  = 
\begin{bmatrix}
1.0 & 0.6 & 0.3 & 0.2\\
0.6 & 1.0 & 0.5 & 0.2\\
0.3 & 0.5 & 1.0 & 0.7\\
0.2 & 0.2 & 0.7 & 1.0
\end{bmatrix}
\]
\end{textblock}

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Seismic Source Characterization}

\begin{textblock}{15}(0.3, 3.4)
\includegraphics[width=0.65\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/SSC_legend.pdf}
\end{textblock}

\begin{textblock}{15}(6.5, 12.1)
\scriptsize
\begin{itemize}
\item 371 total seismic scenarios 
\item $M \ 5 \sim 5.5$ and $6.5 \sim 7.0$
\item $R_{jb} \ 20km \sim 40km$
\end{itemize}
\end{textblock}

\begin{textblock}{15}(11.7, 3.3)
\includegraphics[width=0.22\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/Acc_time_series100.pdf}\\
\includegraphics[width=0.22\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/Acc_time_series343.pdf}\\
\includegraphics[width=0.22\linewidth]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/Acc_time_series439.pdf}
\end{textblock}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame} 
\frametitle{Stochastic Ground Motion Realizations}


\begin{figure}[!htbp]
\centering
\includegraphics[width=9cm]{/home/jeremic/tex/works/Papers/2019/Hexiang/1D_risk/version6/Figures/Acc_realization_200.pdf}
%
%
% \includegraphics[width=0.31\textwidth]{/home/jeremic/tex/works/Papers/2019/Hexiang/1D_risk/version6/Figures/Acc_time_series_realiztion70.pdf}
% \includegraphics[width=0.29\textwidth]{/home/jeremic/tex/works/Papers/2019/Hexiang/1D_risk/version6/Figures/Acc_time_series_realiztion100.pdf}
% \includegraphics[width=0.32\textwidth]{/home/jeremic/tex/works/Papers/2019/Hexiang/1D_risk/version6/Figures/Acc_time_series_realiztion367.pdf}
% %\caption{\label{figure_acc_realizations}  Realizations of uncertain acceleration
% %time series population.}
\end{figure}






\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Summary}


%\subsection*{Close}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Summary}


\begin{itemize}


\vspace*{0.2cm}
     \item[-] Importance of using  realistic seismic motions!

\vspace*{6mm}
     \item[-] Reduce modeling uncertainty

\vspace*{6mm}
     \item[-] Propagate parametric uncertainty

%\vspace*{0.2cm}
%     \item[-] Help in checking hidden (most if not all) failure (problem) modes



%
% \vspace*{0.2cm}
%      \item[-]  NRC  ESSI  Simulator  will  (can)  take  into consideration (use for
%      modeling/simulation) all of the above motions

\end{itemize}

\end{frame}
%--


\end{document}


