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Bernard Giroux edited Experimental results.tex
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\subsection{Experimental results}
An essential characteristic of the measurements was to ensure that the variations of the waveform are linked only to the change
on of the properties of fluids and not to changes in pressure. Thus, all measurements were carried out at constant differential pressure of 14 MPa (corresponding to the reservoir conditions) by varying the confining pressure and the pore pressure according
to: to
\begin{equation}
P_{d} = P_{c} -
P_{p} P_{p},
\end{equation}
where $P_{d}$ is differential pressure, $P_{c}$
is confining pressure and $P_{p}$
is pore
pressure.\\ pressure.
As the sample is buffered by two alluminium cap, the travel time measured must be corrected to obtain the wave velocity $\nu$ of the sample
using: using
\begin{equation}
\nu =
\frac{L_{s}}{t_{bs}-t_{b}} \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 alluminum buffer and the sample $t_{bs}$ and the traveltime through the alluminum buffer without sample
$t_b$.\\ $t_b$.
We presents here the measurements made for full CO$_2$ saturation at two constant temperature (25 and 35 $^{\circ}$C) with the pore pressure varying form 2 to 25 MPa in each case. Carbon dioxide is
a gas in gaseous state at
low lower pore
pressure pressure, and
in liquid or supercritical
fluid state at higher pore
pressures pressures, depending on the temperature as shown in Fig. \ref{fig:fig3}. Wave velocities and signal amplitude for
P- $P$- and
S-wave of $S$-wave for the two constant temperature runs are plotted in Fig \ref{fig:fig4}. In each subplots, CA (red) and CH (yellow) results are shown.
\\