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\subsubsection{Geological model}
We consider an idealized geometry and physical model of the sedimentary basin of the St. Lawrence Lowlands. The geological model consists of a tabular succession of 6 horizontal layers corresponding to the Lorraine group, Utica shales, Trenton group, Beekmantown group, Cairnside formation, Covey Hill formation and the Grenville basement. The grid size is 1000 x 1500 $m^2$ with a cell size is 1 x 1 $m^2$, leading to a total of 1.5 million cells. For each cell, 12 parameters ($K_m,K_s,K_f,\phi,G_s,\rho_s,\rho_f,\tau,\eta,\kappa,Q,f0$) characterize the medium. Table 2 resume the main properties of the model.