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\subsubsection{Gassmann's model}  Gassmann’s relation is used to predict the bulk modulus of a fully saturated rock ($K_sat$), from the bulk modulus of the dry rock ($K_m$), the fluid ($K_f$), the mineral ($K_s$), and the rock porosity ($\phi$) [Gassmann, 1951]: \cite{Gassmann}:  \begin{equation}   K_m = \frac{(\phi K_s/K_f + 1 - \phi)K - K_s}{\phi K_s/K_f + K/K_s - 1 - \phi}  \label{eq:eq1}