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\subsection{Experimental results}  An essential characteristic \subsubsection{Testing sequence}  The first set  ofthe  measurements was made with pore space subject  to ensure that the variations of the waveform are linked only vacuum  to the change of the provide 'dry'  properties of fluids at different temperature  and not pressure conditions  to changes in pressure. Thus, all evaluate their effect on the rock frame. The  measurements were carried out at constant differential pressure then repeated with full CO$_2$ saturation under a variety  of14 MPa (corresponding to the reservoir conditions) by varying the confining pressure and the  pore pressure according to  \begin{equation}   P_{d} = P_{c} - P_{p},  \end{equation}  where $P_{d}$ is differential pressure, $P_{c}$ is confining pressure at 25  and $P_{p}$ is pore pressure.  As the sample is buffered by two aluminum caps, the travel time measured must be corrected 35 $^{\circ}$C in order  toobtain the wave velocity $\nu$ of the sample using  \begin{equation}   \nu = \frac{L_{s}}{t_{bs}-t_{b}},  \end{equation}  where $L_s$ is the sample length and $t_{bs} - t_{b}$ is the difference between the travel time through the aluminum buffer and the sample $t_{bs}$ and the traveltime through the aluminum buffer without  sample$t_b$.\\  We present here  themeasurements made for  full range of  CO$_2$ saturation phases states (Fig. \ref{fig:velocityco2}). Finally 'dry' measurements were repeated to asses any mechanical change that have altered the rock 'dry' properties. For each measurements, five minutes were necessary to equilibrate  attwo  constanttemperature (25 and 35 $^{\circ}$C) with the pore  pressure varying form 2 prior  to 25 MPa in each case. Carbon dioxide is in gaseous state at lower pore pressure, and in liquid or supercritical state at higher pore pressures, depending on acquisition of  the temperature as shown in Fig. \ref{fig:velocityco2}. Wave velocities and signal amplitude for $P$- and $S$-wave for waveforms. To reduce random noise effects,  the two constant temperature runs are plotted in Fig \ref{fig:results_lab}. In each subplots, curves for both Cainside (red) and Covey Hill samples (yellow) are shown. final waveform recorded is a stack of at least 100 traces.