Next: Implementation
Up: Porous Media Model
Previous: Porous Media Model
The equations of motion for a porous sediment layer may be written in
the form[5]
where u is the displacement vector associated with the frame
and
is the weighted (by
porosity) relative displacement of the frame with respect to the pore
fluid. Also
and
;
is the average density of the
saturated sediment and H, C, and M are (complex) elastic moduli
calculated from the prescribed moduli as
Finally, F is a frequency dependent drag coefficient which is taken
as[8]
where
The constitutive equations describing the Biot porous sediment model
on which the above equations of motion are based may be written as
where
is the total stress in the saturated
sediment and
p is the pore fluid pressure.
henrik schmidt
1999-08-25