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\author{Marc Wathelet (marc@geopsy.org)\\
        Cecile Cornou (Cecile.Cornou@obs.ujf-grenoble.fr)\\
	Matthias Ohrnberger (mao@geo.uni-potsdam.de)}

\title{Second draft array course outline \\
Using Ambient Vibration Array Techniques for Site Characterization \\
Monday, 21st Nov. 2005 to 25th Nov. 2005}
\date{\today}
\begin{document}
\maketitle

\section{Course outline}

\begin{tabular}{p{2.2cm}p{10cm}p{2.5cm}}
 & Monday & \\ \hline\hline
 & & \\
 13:30 & Reception and welcome & \\ \hline
 & Technical issues - programme overview & \\
 & & \\
 14:00-14:45 & Introduction & \\ \hline
& physical background / introduction to ambient vibration anaylsis - Goals!
\begin{itemize}
\item what is known about the nature of noise - nature of ambient noise (overview/resume)
\item link between measurement structure and site response
\end{itemize} & Cecile \\
 & & \\
 14:45-15:00 & Coffee break \\
 & & \\
 15:00-17:15 & Basic Array Processing Concept \\ \hline
 & 
\begin{itemize}
\item Overview of methods
\item Arrays as multitracefilter operation (shift and sum)
\item f-k domain
\end{itemize} & Matthias \\
\end{tabular}
\afterpage{\clearpage}

\begin{tabular}{p{2.2cm}p{10cm}p{2.5cm}}
 & Tuesday & \\ \hline\hline
 & & \\
9:00-10:30 &  Array Geometry and Response & \\ \hline
 & Spatial sampling issues:
 \begin{itemize}
 \item Linear array example - relation, interdependece between N, D, d with array response
 \item extension to 2D - geometries  (subitems here)
 \item limits of array resolution/aliasing -- wavelength criteria
       (table display of relation D, N $\rightarrow$ $k_{min}$, $k_{max}$
 \item what a priori information can be helpful for estimating the target wavelength range
\end{itemize} & Matthias \\
 & & \\
 10:30-10:45 & Coffee break \\
 & & \\
 10:45-12:15 &  Array Geometry and Response -- Practicals\\ \hline
 & 
 \begin{itemize}
 \item Tutorial for array design - considering the previously discussed matter
 \item test behaviour with single source (links to f-k computation and 
 grid sampling issues - parameter of f-k computation explained here)
 \item (all practicals done with build\_array)
 \end{itemize} & Matthias \\
 & & \\
 12:15-14:00 &  Lunch break & \\ 
  & & \\
 14:00-15:30 &  GEOPSY - round trip and first steps & \\ \hline
 & Tutorial for data base creation and capabilities / tools within GEOPSY 
   (data examples used: M2- single/multi source wavefield) & Marc \\
 & & \\
 15:30-15:45 &  Coffee break & \\
 & & \\
 15:45-17:15 &  Conventional FK - Practicals & \\ \hline
 & Tutorial for f--k analysis of single/multi M2 model data sets & Marc \\
 & Observation of frequency limits - connection with both array geometry 
   and site structure (HP-filter effect) & Matthias\\
\end{tabular}
\afterpage{\clearpage}

\begin{tabular}{p{2.2cm}p{10cm}p{2.5cm}}
 & Wednesday & \\ \hline\hline
 & & \\
 9:00-10:30 &  Capon's Method -- high resolution f--k & \\ \hline
9:00-9:45 & Viewing f-k in the context of cross correlation (covariance) matrix & Matthias \\
 & Spatial weighting of sensor couple contributions $\rightarrow$ Capon's method & Matthias \\
 & Technical implementation - stabilization by block-averaging, sensor normalization and
   diagonal loading before hermitian matrix inversion  & Matthias \\
 & & \\
9:45-10:30 & hands-on - processing M2 data sets with Capon's method & Matthias \\
 & discussion of results - comparison to f--k  & Matthias \\
 & & \\
 10:30-10:45 & Coffee break & \\
 & & \\
  10:45-12:15 & SPAC Method  & \\ \hline
10:45-11:30 & Introduction to SPAC (Aki) -- Assumptions, etc. & Cecile \\
 & Extension for imperfect array-layouts (Bettig et al., 2001) & Cecile \\
 & Technical implementation -- Parameters, etc. & Marc \\
 & & \\
11:30-12:15 & Hands-on - processing M2 data sets with SPAC  & Marc \\
 & Use of tools for comparing to f--k results -- discussion & Marc \\
  & & \\
  12:15-14:00 &  Lunch break & \\ 
  & & \\
  14:00-15:30 & DC Inversion & \\ \hline
14:00-14:45 & Basics of Inversion \\
 & Forward problem -- inverse problem & Marc \\
 & Linear problems - overview - examples for data space, model parameter space & Marc \\
 & non-linear problems, overview of approaches & Marc \\
 & DC-inversion - our non-linear problem to be attacked & Marc \\
 & & \\
14:45-15:30 & outline of NA-sampling - benefits - 
    general problem of sampling techniques, etc.& Marc \\
 & & \\
  15:30-15:45 &  Coffee break & \\
 & & \\
  15:45-17:15 & Inversion - Practicals (first steps) & \\ \hline
 & use of na\_viewer (dinver!) & Marc \\
 & Tutorial for creation of synthetic DC and inversion & Marc \\
 & effects of restricting search ranges, type of parametrization, what are the pitfalls!& Marc \\
 & & \\
 20:00- & Workshop Dinner & \\
\end{tabular}
\afterpage{\clearpage}

\begin{tabular}{p{2.2cm}p{10cm}p{2.5cm}}
 & Thursday & \\ \hline\hline
 & & \\
  9:00-10:30 &  Inversion - Practicals (Advanced) & \\ \hline
 & Importing analysis results for M2 data sets (f--k, Capon, SPAC)& Marc \\
 & Combining/editing obtained results for inversion target & Marc\\
 & Inversion  & Marc\\
 & & \\
  10:30-10:45 & Coffee break & \\
 & & \\
  10:45-12:15 & Discussion of results for M2-model\\ \hline
  & General discussion on results obtained for M2-model & Matthias \\
  & Important: Pointing out frequency limitation, interpretation problems, etc. & Matthias \\
  & & \\
  12:15-14:00 &  Lunch break & \\ 
  & & \\
  14:00-15:30 &  Analysis and inversion of test data sets I & Cecile \\ \hline
 & Free practicals for participants on predefined data sets (3 data sets) -- 
   contains choosing array layouts from set of virtual sensor locations, analysis with 
   all array methods and inversion & \\
 & & \\
  15:30-15:45 &  Coffee break & \\
 & & \\
  15:45-17:15 & Analysis and inversion of test data sets II & Cecile \\ \hline
 & Free practicals for participants on predefined data sets (2 data sets) -- 
   contains choosing array layouts from set of virtual sensor locations, analysis with 
   all array methods and inversion\\
 & & \\
 & data sets are 1 synthetic but no longer so easy than M2 and 1 real data example\\
 & & \\
\end{tabular}
\afterpage{\clearpage}

\begin{tabular}{p{2.2cm}p{10cm}p{2.5cm}}
 & Friday & \\ \hline\hline
 & & \\
  9:00-10:30 &  Discussion of results from data sets & (later - all)\\ \hline
 & Report of participants about their results & \\
 & general discussion of variations obtained for different data sets (M2, 2nd synthetic and real) & \\
 & & \\
  10:30-10:45 & Coffee break & \\
 & & \\
  10:45-12:15 & Summary of SESAME findings & (all) \\ \hline
  & Presentation by Cecile, Marc and Matthias presenting the main findings within SESAME\\
  & in particular: recommendations, what are the still open questions and: THIS is not a black box!\\
  & & \\
  12:15-14:00 &  Lunch break & \\ 
  & & \\
  14:00- & Departure of Participants and final discussion for those who want& \\ \hline
 & & \\
  14:45-15:00 &  Coffee break& \\
 & & \\
  15:45-17:15 & Open Discussion & \\ \hline
 & & \\
\end{tabular}

\section {Detailed course contents}

\end{document}

