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Propagation of pore pressure diffusion waves in saturated porous
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A microscopic 1D analytical model was developed for describing pore pressure
diffusion wave propagation in porous media. The
diffusion waves, being heavily damped, have relatively slow velocities
and short wavelength, and do not exhibit square-law behavior. Investigation on
permeability effect on attenuation dispersion and penetration depth indicates that the
transition zone in attenuation and penetration depth peak shifts toward low frequency when
permeability decreases. Controversially, the transition zone in phase velocity peak shifts
toward high frequency when permeability decreases. The high frequency-dependent
low-frequency waves was well predicted by the pressure
diffusion mechanism. At a mass interface,
diffusion waves obey an accumulation–depletion law, rather than the
reflection–refraction law. Pressure
diffusion waves are accelerated and amplified by a space-dependent
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