 # Diff of /trunk/doc/inversion/CookGravity.tex

revision 4285 by caltinay, Thu Mar 7 01:08:43 2013 UTC revision 4286 by caltinay, Thu Mar 7 04:28:11 2013 UTC
# Line 758  inv.setup(dom, w0=0.1, w1=[0,0,1]) Line 758  inv.setup(dom, w0=0.1, w1=[0,0,1])
758  \end{verbatim}  \end{verbatim}
759  would lead to the same regularization as the statement above.  would lead to the same regularization as the statement above.
760
%
% \section{Reference}
%
% There are three examples for 2D and 3D gravity inversions with artificial input data.
% In first step, an area with synthetic density section was suggested. Then based on forward modeling its gravitational data was collected. Afterwards with generated gravity data, escripts simulated a volume of inverted density. Whilst new density mass could be compared with the synthetic density section to verify the inversion.
%
% Some of the presumptions were the same for all of the examples to simplify the situation to make a logical comparison between synthetic input and output. which is as followed:
%
% \begin{verbatim}
% n_cells_in_data=100
% depth_offset=0.*U.km
% l_data = 100 * U.km
% l_pad=40*U.km
% THICKNESS=20.*U.km
% l_air=6*U.km
% \end{verbatim}
%
% The others assumptions comes with each examples.
% \begin{enumerate}
% \item  A 2D density section with a maximum in center was assumed. The reference density and inverted will be shown. The padding area is excluded. (\ref{fig:gravity2D1})
%
% \begin{verbatim}
% n_cells_in_data=100
% n_humbs_h= 1
% n_humbs_v=1
% mu=100
% \end{verbatim}
%
% \begin{figure}
% \centering
% \includegraphics[width=\textwidth]{grav2D1.png}
% \caption{2D density model up) reference    down) result}
% \label{fig:gravity2D1}
% \end{figure}
%
%
% \item A 2D density properties with two maximum in corners and one minimum in the center was inverted. The result have eliminated the effects in padding area.(\ref{fig:gravity2D3})
%
% \begin{verbatim}
% n_cells_in_data=100
% n_humbs_h= 3
% n_humbs_v=1
% mu=100
% \end{verbatim}
%
% \begin{figure}
% \centering
% \includegraphics[width=\textwidth]{grav2D3.png}
% \caption{2D density model up) reference  down) result}
% \label{fig:gravity2D3}
% \end{figure}
%
% \item A 3D model with a maximum in the center was used as input data and the result after simulation in shown in the next image which determined a good distribution of density through the model in the main area.(\ref{fig:gravity3D} and \ref{fig:gravity3D1})
%
% \begin{verbatim}
% n_cells_in_data=50
% n_humbs_h= 1
% n_humbs_v=1
% mu=10
% \end{verbatim}
%
% \begin{figure}
% \centering
% \includegraphics[width=\textwidth]{density3D-ref.png}
% \caption{3D density model of reference as synthetic data}
% \label{fig:gravity3D}
% \end{figure}
%
% \begin{figure}
% \centering
% \includegraphics[width=\textwidth]{gravity3D.png}
% \caption{3D density model of result}
% \label{fig:gravity3D1}
% \end{figure}
% \end{enumerate}

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