  Zhu & Granick [Phys. Rev. Lett. 87, 096105 (2001)] have recently
experimentally established existence of a boundary slip in a Newtonian liquid.
They reported typical values of the slip length of the order of few
micro-meters. In this light, the effect of introduction of the boundary slip
into the theory of propagation of elastic waves in a fluid-saturated porous
medium formulated by Biot is investigated. The new model should allow to fit
the experimental seismic data in circumstances when Biot's theory fails, as the
introduction of phenomenological dependence of the slip velocity upon
frequency, which is based on robust physical arguments, adds an additional
degree of freedom to the model. If fact, it predicts higher than the Biot's
theory values of attenuation coefficients of the both rotational and
dilatational waves in the intermediate frequency domain, which is in
qualitative agreement with the experimental data. Therefore, the introduction
of the boundary slip yields three-fold benefits: (A) Better agreement of theory
with an experimental data since the parametric space of the model is larger
(includes effects of boundary slip); (B) Possibility to identify types of
porous medium and physical situations where boundary slip is important; (C)
Constrain model parameters that are related to the boundary slip.
