\documentclass[fleqn]{beamer}
%\documentclass[handout]{beamer}
%\usepackage{pgfpages}
%\pgfpagelayout{2 on 1}[letterpaper, border shrink=5mm]

\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

 
\usepackage[absolute,overlay]{textpos}



%% 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{threeparttable}

%\usepackage{MnSymbol}%
% for smileys
\usepackage{wasysym}%
\usepackage{multirow}
% for subfloat figures:
\usepackage{subfig}
\usepackage{tabularx}
%used for truncated section title in headers
\usepackage[breakall]{truncate}
%\usepackage{caption}


\usepackage{ulem}
\usepackage{amsmath}
\usepackage{bm}
\usepackage{IEEEtrantools}
\usepackage{setspace}
\usepackage{scalerel}



  
% for tikzpicture
\usepackage{tikz}
\usetikzlibrary{tikzmark,calc}


      
\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.
% make sure figure syntax uses graphicx syntax NOT epsfig syntax
%from http://mailman.mit.edu/pipermail/macpartners/2005-January/000780.html
%
% \ifx\pdfoutput\undefined
% % we are running LaTeX, not pdflatex
% \usepackage{graphicx}
% \else
% % we are running pdflatex, so convert .pdf files to .pdf
% \usepackage[pdftex]{graphicx}
% \usepackage{epstopdf}
% \fi
% %*****************************************


%% ovo je za cirilicu
\input vuk.def
\newfont{\cyr}{wncyr10 scaled 1000 }
\newfont{\cyb}{wncyb10 scaled 1000 }
\newfont{\cyi}{wncyi10 scaled 1000 }
\newfont{\cysc}{wncysc10 scaled 1000 }
\newfont{\cyss}{wncyss10 scaled 1200 }
\newfont{\romjba}{cmss10 scaled 1000}
\newfont{\cyrjbnaslov}{wncyss10 scaled 1400 }



% % for not showing eq numbers unless eq is references
% \usepackage[fleqn,tbtags]{mathtools}
% \mathtoolsset{
%   showonlyrefs
%   }

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% FEI  LOGO definition
\newcommand{\FEI}
{{\sf \uppercase{F}\kern-0.20em\uppercase{E}\kern-0.20em\uppercase{I}}}

% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % ovo je za cirilicu
% % \input vuk.def
% % %\newfont{\cyr}{wncyr10 scaled 1200}
% % %\newfont{\cyrimena}{wncyb10 scaled 1800}
% % %\newfont{\cyrnaslov}{wncyb10 scaled 2600}
% % %\newfont{\cyrpodnaslov}{wncyr10 scaled 1400}
%
% \newfont{\cyr}{wncyss10 scaled 1200}
% \newfont{\cyrimena}{wncyss10 scaled 2000}
% \newfont{\cyrnaslov}{wncyss10 scaled 2800}
% \newfont{\cyrpodnaslov}{wncyss10 scaled 1400}
%
% \newfont{\cyn}{wncyss10 scaled 2200}
% %% JB sig
% \newfont{\cyrjb}{wncyr10 scaled 600}
% \newcommand{\JB}
% {{\cyrjb \lower0.50ex\hbox{\uppercase{J}}\kern-.58em\hbox{\uppercase{B}}}}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\setbeamertemplate{navigation symbols}{}
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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)
  \usecolortheme{seagull} % sivo
%%%%%%%
%  \usecolortheme{BorisJeremic}
%%%%%%%
%  \usecolortheme{rose}
%   \usefonttheme[onlylarge]{structuresmallcapsserif}
%   \usefonttheme{structuresmallcapsserif}
}

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


\usepackage[greek,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, 0.35, 0} % less intense green
\definecolor{webblue}{rgb}{0, 0, 0.50} % less intense blue
\definecolor{webred}{rgb}{0.35, 0, 0} % less intense red
%\usepackage[colorlinks=true,linkcolor=webblue,citecolor=webred,urlcolor=webgreen]{hyperref}


\usepackage{hyperref}
\hypersetup{
  pdfmenubar=true,
  pdftoolbar=true,
  pdfpagemode={None}
             colorlinks=true,
             linkcolor=webblue,
             citecolor=webblue,
             urlcolor=webblue,
}
% \usepackage[pdfauthor={Boris Jeremic},
%             colorlinks=true,
%             linkcolor=webblue,
%             citecolor=webblue,
%             urlcolor=webblue,
%             linktocpage,
%             pdftex]{hyperref}


\usepackage{pause}
% or whatever
%\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.



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


\title[Seismic Eave Field Inversion]
        {Full Seismic Wave Inversion in 3D for ESSI Analysis}


%\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)
%{Boris~Jeremi{\'c}}
{Boris Jeremi{\'c}
}

%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{ University of California, Davis, 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 SMiRT26, Potsdam, Germany\\
        July 2022}

\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}
% \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}{3}
 \AtBeginSubsection[]
% \AtBeginSection[]
 {
   \begin{scriptsize}
   \begin{frame}<beamer>
     \frametitle{Outline}
     \tableofcontents[currentsection,currentsubsection]
%    \tableofcontents[currentsection]
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 }


% 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}




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%\subsection{Motivation}
\subsection{\ }



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\begin{frame}
 \frametitle{Motivation}

\begin{itemize}



 

%\vspace*{0.3cm}
  \item[]  Improve  modeling  and  simulation  of nuclear installations 
 

% \vspace*{2mm}
%  \item[]  Expert numerical modeling and simulation tool
% 
% \vspace*{1mm}
%   \item[]      Use of numerical models to
%   analyze statics and dynamics of soil/rock-structure systems
% 

\vspace*{2mm}
  \item[]  Reduction  of modeling uncertainty

\vspace*{2mm}
  \item[]  Development of full 3D/3C wave fields for ESSI analysis

\vspace*{2mm}
  \item[] Use surface, structure and limited downhole motion measurements for
  development of wave fields




\end{itemize}
\end{frame}
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\begin{frame}
 \frametitle{Dedication}


% Thick fbox lines 
\setlength{\fboxrule}{1.8pt} 
 
    
\vspace*{5mm}

\noindent
\framebox{Robert P. Kennedy, 1939-2018}
%\hspace*{5mm}
\vspace*{-18mm}
\begin{flushright}
\includegraphics[height=15mm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Dedication_Photos/Robert_P_Kennedy/Robert_P_Kennedy_07Dec2018.jpg}
\end{flushright}

\vspace*{-1mm}
\noindent
"Response of a soil structure system 
 is nonlinear, and I would really 
 like to know what that response is!"

%\vspace*{1mm}
%\noindent
%"There are engineers and then there are Engineers!"



\vspace*{12mm}
\noindent
\fbox{Neboj{\v s}a Orbovi{\' c},  1962-2021}
%\hspace*{7mm}
\vspace*{-15mm}
\begin{flushright}
\includegraphics[width=18mm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Dedication_Photos/Nebojsa_Orbovic/Nebojsa_Orbovic_26Feb2016.jpg}
\end{flushright}

%\noindent
%"As an engineer, I have to know, \\
%with good accuracy, what will happen \\
%to the structure during loading, \\
%hence numerical analysis and \\
%verification and validation for \\
%numerical analysis is really important"

\vspace*{-1mm}
\noindent
"As an engineer, I have to know  what are response sensitivities 
 to modeling choices and model parameters."


% back to standard fbox lines 
 \setlength{\fboxrule}{0.2pt} 



\end{frame}
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\begin{frame}
 \frametitle{Prediction under Uncertainty}


\begin{itemize}




%\vspace*{1mm}
  \item[-]    \underline{Modeling Uncertainty}, Simplifying assumptions
    \begin{itemize}

\vspace*{2mm}
      \item[] Low, medium, high  sophistication modeling and simulation

\vspace*{2mm}
      \item[] Choice of sophistication level for confidence in  results

    \end{itemize}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{4mm}
  \item[-]   \underline{Parametric    Uncertainty},  ${M}  \ddot{u_i}  +  {C}  \dot{u_i} + {K}^{ep} {u_i} = {F(t)}$,

  \begin{itemize}

\vspace*{2mm}
    \item[] Uncertain mass $M$, viscous damping  $C$ and stiffness $K^{ep}$


\vspace*{2mm}
    \item[] Propagation  of uncertainty in  loads, $F(t)$


\vspace*{2mm}
    \item[] Results are PDFs   and   CDFs  for  $\sigma_{ij}$,  $\epsilon_{ij}$,  $u_i$,  $\dot{u}_i$,  $\ddot{u}_i$

  \end{itemize}




\end{itemize}



% 
% 
% %Le doute n'est pas un {\'e}tat bien agr{\'e}able,\\ 
%        mais l'assurance est un {\'e}tat ridicule.  (Fran{\c c}ois-Marie Arouet, Voltaire)



\end{frame}
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% 
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\begin{frame}
 \frametitle{Goal: Reduction of Modeling Uncertainty}

\begin{itemize}


   \item[-]        Modeling      Uncertainty:   introduced   with   unnecessary and
   unrealistic modeling simplification

\vspace*{2mm}
  \item[-]  Simplified (or inadequate/wrong) modeling:  important  features    are
  missed (3C (6C) seismic ground motions, inelasticity, etc.)

\vspace*{2mm}
     \item[-]  Modeling  simplifications   are  justifiable  if  one, two or higher
     level sophistication model demonstrates that features being simplified out
     are not important


\vspace*{2mm}
     \item[-]  Use  of  HPC  for  low modeling uncertainty and direct probabilistic
     modeling  and  simulations 
     


\end{itemize}
\end{frame}









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\section{Inverse Wave Field Analysis}

      
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%\subsection*{Real-ESSI Simulator System}
%\subsection{Real ESSI Components}
\subsection{\ }




	 
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\begin{frame}
\frametitle{ESSI: 6C or 1C Seismic Motions}


\begin{itemize}


\item Assume that a full 6C (3C) motions at the surface are only recorded in one
horizontal direction


\item  From such recorded motions one can develop a vertically propagating shear
wave (1C) in 1D

\item  Apply  such  vertically propagating shear wave to same soil-structure
system

\end{itemize}

\vspace*{-3mm}
\begin{figure}[!H]
\begin{center}
 \includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2015/CompDyn/Present/6D_to_1D_01.jpg}
\end{center}
\end{figure}



 \end{frame}



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

\begin{itemize}

  \item Free field seismic motion models

\end{itemize}

% 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*{-5mm}
\movie[label=show3,width=100mm,poster,autostart,showcontrols]
%\movie[label=show3,width=90mm,poster]
  {\includegraphics[width=90mm]{/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{Development of Realistic Motions}

\begin{itemize}

  \item Sources will send both P and S waves

\end{itemize}

% online
% online  \begin{center}
% online  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4}
% online    {\includegraphics[width=55mm]{movie_input_mp4_icon.jpeg}}
% online  %
% online  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.mp4}
% online    {\includegraphics[width=50mm]{movie_input_closeup_mp4_icon.jpeg}}
% online  \end{center}
% online

% 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=80mm,poster, showcontrols]
  {\includegraphics[width=80mm]{/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}




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\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}
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% 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)}
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% out  %
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% 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  %
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\frametitle{1C vs 6C Free Field Motions}


 		 
%
\begin{figure}[!htb]
\vspace*{-4mm}
\begin{center}
 \subfloat[$f=5Hz\ \theta=10^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_10_degree_snippet.pdf}}
 \subfloat[$f=5Hz\ \theta=45^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_45_degree_snippet.pdf}} 
 %
 \subfloat[$f=5Hz\ \theta=60^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_60_degree_snippet.pdf}}
 \subfloat[$f=5Hz\ \theta=80^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_80_degree_snippet.pdf}}
%  \\
%  \caption{\label{fig:free_field_different_inclination}
%  Displacement magnitudes for a free  field  response  under  incident SV wave,
%  frequency $f=5$Hz, with different incident wave angles: 
%  (a) $\theta=10^{\circ}$ 
%  (b) $\theta=45^{\circ}$ 
%  (c) $\theta=60^{\circ}$ 
%  (d) $\theta=80^{\circ}$.}
\end{center}
\vspace*{-4mm}
\end{figure}
% %
% % 
% Figure~\ref{fig:free_field_different_frequency} shows snapshots of wave
% displacements in the model, for a wave that is inclined at $\theta=60^{o}$, 
% for variable input plane wave frequencies $f=1.0, 2.5, 5.0, 10.0$Hz.
% %
%
%
\begin{figure}[!htbp]
\vspace*{-4mm}
\begin{center}
 \subfloat[$f=1Hz\ \theta=60^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_1_frequency_snippet.pdf}}
 \subfloat[$f=2.5Hz\ \theta=60^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_2_frequency_snippet.pdf}}
%
 \subfloat[$f=5Hz\ \theta=60^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_5_frequency_snippet.pdf}}
 \subfloat[$f=10Hz\ \theta=60^{o}$]{
 \includegraphics[width=0.23\columnwidth]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Figures/free_field_10_frequency_snippet.pdf}}
%  \\
%  \caption{\label{fig:free_field_different_frequency}
% Displacement magnitudes for a free  field  response  under  incident  SV wave at
% an angle of $\theta=60^{o}$,
% with different frequencies: 
% (a) $f=1.0$Hz 
% (b) $f=2.5$Hz 
% (c) $f=5.0$Hz 
% (d) $f=10.0$Hz.}
\end{center}
\vspace*{-4mm}
\end{figure}

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%\frametitle{SMR ESSI, Variation in Input Frequency, $\theta = 60^{o}$}
\frametitle{SMR ESSI, 3C vs 3$\times$1C}

% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy

     
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
%\movie[label=show3,width=10cm,poster,autostart,showcontrols]
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/3Dvs1D_deconvolution.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/3Dvs1D_deconvolution.ogv}
\end{center}
        
% online   
\vspace*{-12mm}
\begin{flushleft}
\hspace*{-4mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/3Dvs1D_deconvolution.ogv}
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% online  
   

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%  
%   
%  % local
%  \vspace*{-2mm}
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%  \hspace*{-7mm}
%  %\movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
%  \movie[label=show3,width=8.8cm,poster, showcontrols]
%    {\includegraphics[width=92mm]
%    {/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_2_npps_mp4_icon.jpeg}}
%    {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_2_npps.mp4}
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%  %  \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
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\frametitle{Development of 3D/3C Wave Fields}


\begin{itemize}

	 \item[-] PDE-constrained optimization

	 \item[-] Evaluate gradient of a misfit between measured and computed wave fields

	 \item[-] Optimize DRM effective forces 
	 \begin{equation}
	 \mathbf{P}_{eff}
	 = 
					     \begin{bmatrix}
0 \\
- \mathbf{M}_{\text{be}}^{\Omega^{+}} \ddot{\mathbf{u}}_e^0
- \mathbf{K}_{\text{be}}^{\Omega^{+}} {\mathbf{u}}_e^0 \\
+ \mathbf{M}_{\text{eb}}^{\Omega^{+}} \ddot{\mathbf{u}}_b^0
+ \mathbf{K}_{\text{eb}}^{\Omega^{+}} {\mathbf{u}}_b^0 \\
 \end{bmatrix}
 \nonumber
	 \end{equation}



\end{itemize}

 
% local
\begin{figure}[htbp]
%---
\begin{center}
\includegraphics[width = 8cm]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/DRM_fig109_9_Boris_lecture.pdf}
\end{center}
\end{figure}
% local
%  \vspace*{-2mm}
%  \begin{center}
%  \hspace*{-7mm}
%  \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
%    {\includegraphics[width=90mm]{movie_2_npps_mp4_icon.jpeg}}{movie_2_npps.mp4}
%  \end{center}






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\begin{frame}
\frametitle{Development of 3D/3C Wave Fields}


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

	 \item[-] Preliminary results encouraging

	 \item[-] Minimizing number of measuring points 

	 \item[-] Measurements of 1C, 2C or 3C motions

	 \item[-] Recreate full 3D/3C wave field


\end{itemize}



\begin{figure}[htb]
%---
\begin{center}
\includegraphics[width = 11cm]{/home/jeremic/tex/works/Proposals/2020/NSF-Disaster-Resilience-Research-Grant/proposal/Prelim_fig2.pdf}
%
\vspace*{-3mm}
\label{Prelim_DTO}
\end{center}
\end{figure}
%



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%\section{Conclusion}
\section{Summary}



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%    \subsection{Real-ESSI Simulator System}
    \subsection{\ }





 
%  
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%  \begin{frame} 
%  
%  \frametitle{Real-ESSI Simulator System}
%  
%  The  Real-ESSI, Realistic  
%  {\underline {\bf M}}odeling  and  
%  {\underline {\bf S}}imulation  of  
%  {\underline {\bf E}}arthquakes,  
%  {\underline {\bf S}}oils,
%  {\underline {\bf S}}tructures  and  their  
%  {\underline {\bf I}}nteraction.  Simulator  is  a  software,  hardware  and
%  documentation   system   for  high  fidelity,  high  performance,  time  domain,
%  nonlinear/inelastic, deterministic or probabilistic, 3D, finite element modeling
%  and simulation of:
%  
%      \begin{itemize}
%  %\vspace*{1mm}
%        \item[-] statics and dynamics of soil,
%  \vspace*{1mm}
%        \item[-]    statics and dynamics of rock,
%  \vspace*{1mm}
%        \item[-]    statics and dynamics of structures,
%  \vspace*{1mm}
%        \item[-]    statics of soil-structure systems, and
%  \vspace*{1mm}
%        \item[-]    dynamics of earthquake-soil-structure system interaction
%      \end{itemize}
%  
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\begin{frame}
  \frametitle{Summary}

  \begin{itemize}

%    \item[-] Importance   of   using  proper  models  correctly  (verification,
%    validation, level of sophistication)
%     
 
%    \item[-] Reduction of modeling uncertainty 
%
\vspace*{1mm}
    \item[-] Importance of using realistic 3D/3C seismic wave fields


\vspace*{3mm}
    \item[-]  PDE-constrained optimization
 
%    \item[-]  Sophisticated inelastic/nonlinear modeling and simulations need to be
%    done carefully and in phases


\vspace*{3mm}
    \item[-] Develop optimized DRM effective forces


\vspace*{3mm}
   \item[-] Use surface and at depth measurements (1C, 2C, 3C) 

\vspace*{3mm}
  \item[-] Develop full, 3C wave field 


\vspace*{3mm}
  \item[-] 
%	 Real-ESSI Simulator:  
    \url{http://real-essi.us}
%    \url{http://real-essi.us}
%    \url{http://sokocalo.engr.ucdavis.edu/~jeremic}
      

\end{itemize}



\end{frame}
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\end{document}

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