Commit e1797a92 by valerie.krampe

### Implementation of VTI forward solver and VTI inversion for SH component

parent 9accb585
 ... @@ -375,6 +375,29 @@ Small $Q$ values ($Q<50$) may lead to significant amplitude decay and velocity d ... @@ -375,6 +375,29 @@ Small $Q$ values ($Q<50$) may lead to significant amplitude decay and velocity d The frequency dependence of attenuation, i.e. $Q$ and phase velocity as a function of frequency, may be calculated using the Matlab functions in the directory mfiles. The Matlab script /mfiles/qplot.m can be used to plot $Q(\omega)$ for different values of L, $f_l$ and $\tau$. The m-file qapprox.m in the same directory finds optimal values for L, $f_l$ and $\tau$ that fit a desired function $Q(\omega)=const$ in a least-squares sense. The frequency dependence of attenuation, i.e. $Q$ and phase velocity as a function of frequency, may be calculated using the Matlab functions in the directory mfiles. The Matlab script /mfiles/qplot.m can be used to plot $Q(\omega)$ for different values of L, $f_l$ and $\tau$. The m-file qapprox.m in the same directory finds optimal values for L, $f_l$ and $\tau$ that fit a desired function $Q(\omega)=const$ in a least-squares sense. \section{Anisotropic modeling and inversion} \label{anisotropy} {\color{blue}{\begin{verbatim} "Anisotropy" : "comment", "VTI" : "0", \end{verbatim}}} With VTI=1, the forward modeling and the inversion is calculated for a vertically transversely isotropic medium. For the forward modeling with WAVETYPE=1, additional models of the Thomsen parameters $\varepsilon$ and $\delta$ are needed with the file name expansions .epsilon'' and .delta''. For WAVETYPE=2, the input models are density, vertical S-wave velocity and horizontal S-wave velocity (.rho'', .vs'', .vshor''). The inversion is only implemented for SH waves (WAVETYPE=2) and should only be used with VELOCITY=1. Additional parameters that are used equivalent to those existing for the isotropic case are {\color{blue}{\begin{verbatim} "INV_VSHOR_ITER" : "0", "VSHORUPPERLIM" : "5000", "VSHORLOWERLIM" : "0", \end{verbatim}}} \noindent Additionally, with {\color{blue}{\begin{verbatim} "GAMMA_VTI" : "0", \end{verbatim}}} a maximal absolute value of the Thomsen parameter $\gamma$ can be defined to constrain updates of the velocities (constraint is not active for GAMMA\_VTI=0). \section{Wavefield snapshots} \section{Wavefield snapshots} {\color{blue}{\begin{verbatim} {\color{blue}{\begin{verbatim} "Snapshots" : "comment", "Snapshots" : "comment", ... ...