Wave-induced fluid flow at microscopic and mesoscopic scales arguably
constitutes the major cause of intrinsic seismic attenuation throughout
the exploration seismic and sonic frequency ranges. The quantitative
analysis of these phenomena is, however, complicated by the fact
that the governing physical processes may be dependent. The reason
for this is that the presence of microscopic heterogeneities, such
as micro-cracks or broken grain contacts, causes the stiffness of
the so-called modified dry frame to be complex-valued and frequency-dependent,
which in turn may affect the viscoelastic behaviour in response to
fluid flow at mesoscopic scales. In this work, we propose a simple
but effective procedure to estimate the seismic attenuation and velocity
dispersion behaviour associated with wave-induced fluid flow due
to both microscopic and mesoscopic heterogeneities and discuss the
results obtained for a range of pertinent scenarios.