This paper has presented a method of generalizing the elasticity-based methods of Backus (1962)
and of Schoenberg and Muir (1989) to poroelastic systems, having additional dependencies on
pore-pressures and pore-fluid physical properties. The approach taken is very close in spirit to
that of Schoenberg and Muir (1989). The results are necessarily a little more complicated due to
the presence of the pore-fluid, which permits different types of elastic-poroelastic behavior to occur
than can appear in simply elastic stratified systems. The drained results agree completely with
the elastic results, as they should. The undrained results permit studies of complicated
layered poroelastic systems to proceed in an analytical framework that should be helpful
for better understanding of a wide range of problems in oil and gas reservoir exploration.