\relax 
\citation{Biondi.sepphd.64}
\citation{Etgen.sep.68.0}
\citation{GEO56.04.04830495}
\citation{GEO62-03-09700979}
\citation{GEO60-01-01640175}
\citation{Biondi.sep.95.biondo1}
\citation{GEO51-10-18931903}
\citation{Mora.sepphd.52}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Newton's method applied to ray based tomography.}}{2}}
\newlabel{fig:newton}{{1}{2}}
\newlabel{eq:init}{{4}{2}}
\citation{vanTrier.sepphd}
\citation{Stork}
\newlabel{eq:segment}{{5}{3}}
\newlabel{eq:back}{{6}{3}}
\newlabel{eq:firstTomo}{{7}{3}}
\newlabel{eq:chain}{{8}{3}}
\newlabel{eq:tomo-base}{{9}{3}}
\citation{GPR25.04.07380745}
\citation{GEO46.05.07340750}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces The two portions of the back projection operator. $\bf  T_{z,ray}$ is the pair of rays through $\bf  s_{0}$ from the source to the receiver that obey Snell's law at the reflector. $\bf  T_{z,ref}$ is the raypath from this reflection point to the surface.}}{4}}
\newlabel{fig:schematic}{{2}{4}}
\newlabel{eq:transform1}{{10}{4}}
\newlabel{eq:transform2}{{11}{4}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Left panel is the synthetic velocity model with six reflectors spanning the anticline. The right panel shows the data generated from this model.}}{5}}
\newlabel{fig:synth-model}{{3}{5}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Left panel is our initial guess at the velocity function, the right panel shows the zero offset reflector position using this migration velocity. Note that reflectors are significantly mispositioned.}}{5}}
\newlabel{fig:mig0}{{4}{5}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Left panel is the same model as in Figure\nobreakspace  {}\G@refundefinedtrue {\unhbox \voidb@x \hbox {\normalfont  \bfseries  ??}}\GenericWarning  {               }{LaTeX Warning: Reference `fig:depth-initial' on page 6 undefined} in tau, the right is our initial guess in tau. Note how our reflectors positions are much more accurate in the tau case compared to the depth case.}}{6}}
\newlabel{fig:tau-initial}{{5}{6}}
\newlabel{eq:eik-depth}{{12}{6}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Sigma values for the synthetic model in Figure\G@refundefinedtrue {\unhbox \voidb@x \hbox {\normalfont  \bfseries  ??}}\GenericWarning  {               }{LaTeX Warning: Reference `fig:tau-initial' on page 7 undefined}}}{7}}
\newlabel{fig:sigma}{{6}{7}}
\newlabel{eq:tau-segment}{{17}{7}}
\citation{Biondi.sep.95.biondo1}
\citation{Clapp.sep.97.bob1}
\newlabel{eq:dtauop}{{23}{8}}
\newlabel{eq:tomo-base-tau}{{24}{8}}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Synthetic 1-D velocity function in $\tau $.}}{9}}
\newlabel{fig:cor}{{7}{9}}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Initial guess at the velocity function overlaid by ray hitting reflector at 4\nobreakspace  {}km with a half-offset of 2\nobreakspace  {}km. Left panel is in depth, right panel is in tau.}}{10}}
\newlabel{fig:vel0}{{8}{10}}
\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces The operator calculated from our initial guess at velocity and the resulting ray paths in depth (left) and tau (right).}}{10}}
\newlabel{fig:operator0}{{9}{10}}
\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces ``Correct'' velocity function overlaid by ray hitting reflector at 4\nobreakspace  {}km with a half-offset of 2\nobreakspace  {}km. Left Panel is in depth, right panel is in tau.}}{11}}
\newlabel{fig:vel1}{{10}{11}}
\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces The operator calculated from the ``correct'' velocity and the resulting ray paths in depth (left) and tau (right).}}{11}}
\newlabel{fig:operator1}{{11}{11}}
\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces The difference between the operators calculated from the correct and our initial guess at velocity, for depth (left) and tau (right. Note the significant spikes at the reflector and at the lower layer boundary in the depth case.}}{12}}
\newlabel{fig:diff}{{12}{12}}
\citation{paul}
\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces Semblance at 8 km}}{14}}
\newlabel{fig:semb-mig0}{{13}{14}}