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An analytical solution for the transient response of saturated linear elastic porous media
Author(s) -
Gajo A.,
Mongiovi L.
Publication year - 1995
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610190603
Subject(s) - biot number , porous medium , poromechanics , mechanics , transient (computer programming) , transient response , materials science , porosity , physics , composite material , engineering , computer science , electrical engineering , operating system
The motions of fluid and solid phases in saturated porous media are coupled by inertial, viscous and mechanical interactions as described by Biot's equations. A one‐dimensional exact analytical solution of the Biot's equations for the completely general solution of the transient problem in saturated, linear, elastic, porous media is presented. The problem is solved by using the Fourier series. The transient response of porous media is shown for typical material properties of a natural granular deposit and for different degrees of viscous coupling. The analytical results show the mechanics of dispersive wave propagation in saturated porous media and they should provide a useful comparison term for the existing numerical solution methods.