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On the Description of Partially Saturated Soils by the Theory of Porous Media
Author(s) -
Ehlers Wolfgang,
Graf Tobias,
Diebels Stefan
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310100
Subject(s) - compressibility , porous medium , capillary pressure , poromechanics , pore water pressure , mixture theory , capillary action , characterisation of pore space in soil , porosity , saturation (graph theory) , mechanics , soil water , materials science , viscoplasticity , boundary value problem , constitutive equation , geotechnical engineering , thermodynamics , geology , mathematics , physics , mathematical analysis , composite material , finite element method , soil science , statistics , combinatorics , mixture model
In this contribution, a multi‐phase soil model based on the Theory of Porous Media (TPM) is presented. The model is fully coupled in the following constitutive phases: An elasto‐plastic or elasto‐viscoplastic solid skeleton, a materially incompressible pore‐liquid (water) and a materially compressible pore‐gas (air). The interaction of the solid skeleton and the pore‐fluids is specified by a capillary pressure‐saturation relation, whereas the mobilities of the fluid phases in the pore‐space of the solid skeleton are described by the so‐called relative permeabilities. Finally, a gravity governed initial‐boundary‐value problem solved by the FE method is presented.