lorenzo edited Geological model.tex  about 10 years ago

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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. \\  \begin{table}  \caption{Synthetic seismograms parameters}  \begin{tabular}{lccc}  \hline  & "Baseline" & CA & CH \\  \hline  Pore fluid & \textbf{Brine} & \textbf{CO$_2$ in Cairnside layer\tnote{$\dagger$}} & \textbf{CO$_2$\ in Covey Hill layer\tnote{$\dagger$}} \\  Geologial parameters & \multicolumn{3}{p{10.5cm}}{$K_m$ (dry-rock bulk modulus), $K_s$ (solid bulk modulus),$K_f$ (fluid bulk modulus),$\phi$ (porosity) ,$G_s$ (Solid shear modulus) ,$\rho_s$ (solid densities),$\rho_f$ (fluid densities),$\tau$ (tortuosity),$\eta$ (fluid viscosity),$\kappa$ (permeability),$Q$ (quality factor),$f0$ (relaxation frequency)} \\  X range & \multicolumn{3}{c}{2000 m} \\  Z range & \multicolumn{3}{c}{1500 m} \\  Source offsets & \multicolumn{3}{c}{100, 300, 500, 700 m} \\  Sampling rate & \multicolumn{3}{c}{4 ms} \\  Record length & \multicolumn{3}{c}{1.5 s} \\  \hline  \end{tabular}   \end{table}