Figure 9.
Measurements at ${P_{{\rm{eff}}}} = [ {5,\,\,15} ]$ MPa under a maintained pore pressure ${P_{\rm{P}}} = 1.2$ MPa, showing the frequency dependence of Young's modulus E (a) and Young's attenuation $Q_{\rm{E}}^{ - 1}$ (b) in the fully brine saturated sandstone sample at $T = {23^{\rm{o}}}\,{\rm{C}}$. Graphs (c) and (d) show the derived bulk and shear modulus, respectively. Brine-saturated elastic moduli show errors of around $\pm 0.5$ GPa for (a), $\pm 0.45$ GPa for (c), and $\pm 0.54$ GPa for (d). Measured Young's attenuation $Q_{\rm{E}}^{ - 1}$ (b) has an error of $\pm 0.003$. Solid curves in graph (a) represent a parametric fit to the experimental measurements based on the Kramers–Kronig relationship. Note that each symbol of open circle (ο) from Pair 1# and cross (×) from Pair 2# represents the mean measurement of three experiments, with corresponding error bars illustrated.

Measurements at |${P_{{\rm{eff}}}} = [ {5,\,\,15} ]$| MPa under a maintained pore pressure |${P_{\rm{P}}} = 1.2$| MPa, showing the frequency dependence of Young's modulus E (a) and Young's attenuation |$Q_{\rm{E}}^{ - 1}$| (b) in the fully brine saturated sandstone sample at |$T = {23^{\rm{o}}}\,{\rm{C}}$|⁠. Graphs (c) and (d) show the derived bulk and shear modulus, respectively. Brine-saturated elastic moduli show errors of around |$\pm 0.5$| GPa for (a), |$\pm 0.45$| GPa for (c), and |$\pm 0.54$| GPa for (d). Measured Young's attenuation |$Q_{\rm{E}}^{ - 1}$| (b) has an error of |$\pm 0.003$|⁠. Solid curves in graph (a) represent a parametric fit to the experimental measurements based on the Kramers–Kronig relationship. Note that each symbol of open circle (ο) from Pair 1# and cross (×) from Pair 2# represents the mean measurement of three experiments, with corresponding error bars illustrated.

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