It is commonly accepted that, in modelling of the mechanical behavior of bi
ological tissues (e.g cortical and trabecular bones) and porous bone implan
ts "working" in their natural environment, one should take into account the
fact that such biomaterials have a multiphase nature and they are composed
of solid porous matrix filled with interstitial fluid. Spatial arrangement
of matrix structure strongly influences mechanical properties, transport p
henomena, and acoustic waves propagating in saturated biomaterials.
The well known two-phase model of dynamics of saturated porous materials de
veloped by Blot [1], and extended by other authors includes three pore stru
cture macro-parameters (porosity, permeability, and tortuosity). The attenu
ation and dispersion of wave velocity predicted by the model results mainly
from relative motion of phases.
On the other hand, a disease like osteoporosis is identified in both cortic
al and trabecular bone by an increase of pore space and related changes in
the microscopic pore characteristic that does not appear in Blot's model. S
uch micro-quantity (characteristic pore or grain size) plays an important r
ole for scattering phenomena at microinhomogeneities in the two-phase porou
s materials when the ratio of waves length and average size of pores/grain
is not too large.
Taking these facts into account, and using the model which incorporates the
relative motion of phases and scattering effects, both the micro- and macr
o-structure parameters can be determined from wave propagation analysis usi
ng the ultrasonic technique and applying wide band spectroscopy.