\subsection{Dynamic optimization}
The results obtained after the previous step honor the static well-log data and the variograms  inferred from these data and the deterministic static inversion. The aim now is to make the reservoir model consistent with the dynamic data (i.e.\ CO_2 injection and propagation within the reservoir).  An iterative history matching loop is started in which each iteration consists of the following steps:
\begin{enumerate}
	\item run a fluid flow simulation;
	\item apply suitable rock-physics mapping to generate the corresponding volumes of the elastic properties after CO_2 injection;
	\item compute the seismic response;
	\item calculate the mismatch between simulated and observed data;
	\item perturb the model to lower the mismatch using gradual deformation.
\end{enumerate}
    
    
    
  