deletions | additions       diff --git a/VSP methodology.tex b/VSP methodology.tex  index bf21e03..61bc595 100644  --- a/VSP methodology.tex  +++ b/VSP methodology.tex 
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where $K_{dry}$, $K_s$, $K_f$ are the bulk moduli of the drained matrix, the solid and the fluid respectively; $\phi$ is the porosity, and $G$ is the shear modulus of the matrix (drained and saturated).  \citet{Carcione1998} presented an aproach to introduce viscoelasticity into Biot's poroelastic equations, in which matrix-fluid mechanisms are modeled by generalizing the coupling modulus M to a time dependent relaxation function while the others elastic coefficients are independant of frequency. Detailed information on the implementation of the equations of motion can be found in \citet{Carcione1998} and \citet{Carcione1999}.  The procedure followed in this study to perform seismic modeling is directly inspired by the work of \citet{Carcione2006}, who presents present  an application of porviscoelastic modeling for monitoring underground CO$_2$ storage. The poro-viscoelastic formulation represents perhaps the most effective tool to study the effect of the saturating fluid on seismic because fluid properties are directely taken into account in the equations. The modeling code used in this work is described in \citet{Giroux2012}.