ABSTRACT
Wave propagation in fluid-filled porous media involves the coupled motions of the fluid and solid at the pore scale. Since the fluid and solid motions are coupled, such motions are described at the mega scale by a non-linear field theory. The megascopic continuum equations that describe wave propagation in a fluid-filled porous medium can be constructed by using volume averaging in conjunction with physical arguments. The equations that describe seismic wave propagation in fluid-filled porous media were constructed. It was observed that the volume fraction of space occupied by the two phases is altered during compression. A number of reflection transmission problems were presented showing the differences between elastic media and porous media, as well as how different the results are when different fluids are present. It was shown that the equations of motion constructed for seismic wave propagation in porous media predict additional processes.
