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- W3089183763 abstract "PropagaƟ on of seismic waves in parƟ ally saturated porous media depends on various material properƟ es, including saturaƟ on, porosity, elasƟ c properƟ es of the skeleton, viscous properƟ es of the pore fl uids, and, addiƟ onally, capillary pressure and eff ecƟ ve permeability. If the weƫ ng fl uid is in a disconƟ nuous state (i.e., residual saturated confi guraƟ on), phase velociƟ es and frequency-dependent aƩ enuaƟ on addiƟ onally depend on microscopical (pore-scale) properƟ es such as droplet and/or ganglia size. To model wave propagaƟ on in residual saturated porous media, we developed a three-phase model based on an enriched conƟ nuum mixture theory capturing the strong coupling between the micro- and the macroscale. The three-phase model considers a conƟ nuous and a disconƟ nuous part. The conƟ nuous part exhibits similar behavior as the poroelasƟ c model introduced by Biot. The disconƟ nuous part describes the movement of blobs/clusters of the weƫ ng fl uid and is based on an oscillator rheology. In comparison with other three-phase models, the presented one accounts for the heterogeneity of the disconƟ nuous fl uid clusters by use of their dynamic properƟ es, i.e., their staƟ sƟ cally distributed inerƟ a, eigenfrequency, and damping eff ects. This heterogeneous and disconƟ nuous distribuƟ on of the weƫ ng fl uid in the form of single blobs or fl uid clusters is represented by a model-embedded distribuƟ on funcƟ on of the cluster sizes. We defi ne a dimensionless parameter that determines if the overall moƟ on of the residual fl uid is dominated by oscillaƟ ons (underdamped, resonance) or not (overdamped). Our results show that the residual fl uid has a signifi cant impact on the velocity dispersion and aƩ enuaƟ on no maƩ er if it oscillates or not. For long wavelengths our model coincides with the Biot–Gassmann equaƟ ons. We show under which condiƟ ons and how the classical biphasic models can be used to approximate the dynamic behavior of residual saturated porous media." @default.
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- W3089183763 date "2012-04-01" @default.
- W3089183763 modified "2023-09-26" @default.
- W3089183763 title "Phase velocity dispersion and attenuation of seismic waves due to trapped fluids in residual-saturated porous media" @default.
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