Abstract of the review article ``Extensions of Biot's theory of
poroelasticity to complex porous media'' with Lewis Thigpen
We summarize recent efforts
to extend the theory of poroelasticity to semilinear and nonlinear elastic
response, to partially saturated pores, to inhomogeneous frame materials, and
to viscous losses due to localized flow effects. The prospects for a
comprehensive theory of wave propagation in porous media are also discussed.
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