Abstract
Based on the generalized variational principle (GVP) the system of the generalized Biot’s equations is derived for consistent account of fluid shear relaxation. Account of shear viscosity relaxation leads to existence of additional degree of freedom and hence to additional second shear wave similar to a couple of longitudinal waves in the original Biot’s approach. At this the one shear wave is an acoustical one, while the other shear wave has diffusive behavior with linear dependence of phase velocity and attenuation factor at low frequencies. This behavior is different from analogous behavior of diffusive longitudinal wave with the root frequency behavior of the same values. The dispersion properties of the second shear wave are calculated for the whole frequency domain. The frequency dependences of phase velocity and attenuation factor of the second diffusive shear wave in porous medium with Maxwell’s fluid behavior are presented for different relaxation times.
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