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\subsection{Dynamic optimization}  The results obtained after the previous step honor the measured values at static  well-log locations data  and the spatial variability model variograms  inferred from this data. 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 consist of the following steps; \begin{enumerate}  \item running a flow simulation;  \item applying suitable rock-physics transform to generate the corresponding volumes of the elastic properties after CO_2 injection;