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\subsubsection{Testing sequence}  The first set of measurements was made with pore space subject to vacuum to provide 'dry' porperties at different T an P condtions to evaluate the effect of temperature and pression on the rock frame.\\  The measurements were then repeated with full CO$_2$ saturation under a variety of pore pressure at 25 and 35 $^{\circ}$C in order to sample the full range of CO$_2$ phases states (Fig. \ref{fig 3}).\\ Finally 'dry' measurements were repeated to asses any mechanical change that have altered the rock 'dry' properties.\\  For each measurements, 5 minutes are necessary to equilibrate at constant pressure prior to acquisition of the waveforms. To reduce random noise effects, the final waveform recorded is a stack of at least 100 traces.