Wave propagation in a one‐dimensional poroelastic column

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A comparative study of Biot's theory and the linear Theory of Porous Media for wave propagation problems (2003, background): “As already reported by Schanz and Cheng [33], the second slow compressional wave becomes visible for increased permeabilities.”
Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods (2009, methodology): “A solution in frequency domain of a finite 1-d column loaded at the top by total stress and pore pressure was presented by Cheng et al. [54] for comparison with a Boundary Element solution.”
Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, methodology): “For 1D dynamic consolidation, Schanz and Cheng [63] showed the transient wave propagation and obtained the analytical solution for the displacement and pressure distribution.”
The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method (2021, background): “Schanz, M.; Cheng, A.-D. Transient wave propagation in a one-dimensional poroelastic column.”
Comparison of monolithic and splitting solution schemes for dynamic porous media problems (2009, background): “Analytical solutions for one-dimensional (1-d) wave propagation in saturated poroelastic media are given in [20, 21].”