Abstract
Numerical pore-scale simulation of elastic wave propagation is an emerging tool in the analysis of static and dynamic elastic properties of porous materials. The dry rock moduli (shear modulus & bulk modulus) and the tortuosity are derived by those simulations. The rotated staggered-grid (RSG) finite difference method has proved to be particularly effective in modeling porous media saturated with ideal , i.e. non-viscous fluids. This method has been extended to viscoelastic (gernalized Maxwell) media, which allows simulation of wave propagation in porous solids saturated with Newtonian fluids. The capability of the viscoelastic RSG algorithm in modeling wave dispersion and attenuation was confirmed by simulations for an idealized porous material, namely a periodic system of alternating solid and viscous fluid layers. Revisiting these results give the perspective to determine the permeability with dynamic wave propagation simulations and to better understand a simulated signature of a theoretically predicted slow S-wave.
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