This article presents an overview on poroelastodynamic models and some analytical solutions. A brief summary of Biot’s theory and of other poroelastic dynamic governing equations is given. There is a focus on dynamic formulations, and the quasistatic case is not considered at all. Some analytical solutions for special problems, fundamental solutions, and Green’s functions are discussed. The numerical realization with two different methodologies, namely, the finite element method and the boundary element method, is reviewed.