A comparison of variational formats for porous media subjected to dynamic loading
Journal article, 2011

This paper presents a comparison of two variational formats for fully saturated porous media subjected to dynamic loading, whereby the general situation of relative fluid acceleration is considered: (1) the classical three-field (u, p, w)-format and (2) a novel two-field (u, p)-format, where the seepage velocity w is a spatially 'local' field whose treatment resembles that of internal variables in material models. The limited numerical comparison shows that the (u, p)-format competes well with the (u, p, w)-format. Indeed, it is consistent with the general acceleration modeling in the full range of permeabilities. Moreover, in the low permeability regime (where the magnitude of w is insignificant), the new format reflects the situation pertinent to 'added-mass' and is more efficient than the classical (u, p, w)-format. Finally, the (u, p)-format can conveniently be implemented in existing FE-codes based on the 'added mass' formulation.

two-field variational format

porous media

hydro-mechanical modeling

poromechanics

models

mixtures

algorithmic state variable

wave-propagation

binary phase mixture

galerkin method

Author

Bernd Lenhof

Chalmers, Applied Mechanics, Material and Computational Mechanics

Fredrik Larsson

Chalmers, Applied Mechanics, Material and Computational Mechanics

Kenneth Runesson

Chalmers, Applied Mechanics, Material and Computational Mechanics

International Journal for Numerical and Analytical Methods in Geomechanics

0363-9061 (ISSN)

Vol. 35 7 807-823

Subject Categories

Mechanical Engineering

DOI

10.1002/nag.925

More information

Created

10/8/2017