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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Modeling Biot media at the meso-scale using a finite element approach
verfasst von : Juan Enrique Santos, Patricia Mercedes Gauzellino
Erschienen in: Numerical Simulation in Applied Geophysics
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Fast compressional or shear waves travelling through a fluid-saturated porous material (a Biot medium) containing heterogeneities on the order of centimeters (mesoscopic scale) suffer attenuation and dispersion observed in seismic data. The mesoscopic loss effect occurs because different regions of the medium may undergo different strains and fluid pressures. This in turn induces fluid flow and Biot slow waves causing energy losses and velocity dispersion. Numerical modeling of wave propagation using Biot’s equations of motion takes into account this phenomenon but is computationally very expensive. In the context of Numerical Rock Physics, this chapter presents compressibility and shear time-harmonic experiments to determine an equivalent viscoelastic medium having in the average the same attenuation and velocity dispersion than the original highly heterogeneous Biot medium. Each experiment is associated with a boundary-value problem that is solved using the finite element method.