摘要：Biot's equations appear in geophysical applications where wave propagation in
_uid saturated porous media is considered, although in recent years they have
also been applied to model ultrasonic technics for osteoporosis or other
bone-modifying diseases diagnosis. It is well known that _nite element
solutions for propagating waves deteriorate rapidly with
increasing dimensionless wavenumber, even when the number of elements per
wavelength is kept constant; this is referred to as pollution error. In
this work we present a detailed analysis of the numerical behaviour of a _nite
element method used to approximate the solution of the 1D Biot
equations. The study is performed by deriving and the dispersion relations
and by evaluating the derived quantities, such as the dimensionless phase and
group velocities.
