A fully coupled 3-D mixed finite element model of Biot consolidation

Authors:
Massimiliano Ferronato;Nicola Castelletto;Giuseppe Gambolati
Affiliations:
Dept. Mathematical Methods and Models for Scientific Applications, University of Padova, via Trieste 63, 35121 Padova, Italy;Dept. Mathematical Methods and Models for Scientific Applications, University of Padova, via Trieste 63, 35121 Padova, Italy;Dept. Mathematical Methods and Models for Scientific Applications, University of Padova, via Trieste 63, 35121 Padova, Italy
Venue:
Journal of Computational Physics
Year:
2010

Citing 2
Cited 1

Improved accuracy in finite element analysis of Biot's consolidation problem

Computer Methods in Applied Mechanics and Engineering
Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations

Journal of Computational Physics

Preconditioning for large scale micro finite element analyses of 3d poroelasticity

PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing

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Abstract

The numerical solution to the Biot equations of 3-D consolidation is still a challenging task because of the ill-conditioning of the resulting algebraic system and the instabilities that may affect the pore pressure solution. Recently new approaches have been advanced based on mixed formulations. In the present paper a fully coupled 3-D mixed finite element model is developed with the aim at alleviating the pore pressure numerical oscillations at the interface between materials with different permeabilities. A solution algorithm is implemented that takes advantage of the block structure of the discretized problem. The proposed model is verified against well-known analytical solutions and successfully experimented with in realistic applications of soil consolidation.