BEM ANALYSIS OF POROUS MEDIA SUBJECTED TO DAMAGE: AN APPLICATION TO GEOMECHANICS

Resumo

This work is devoted to the numerical analysis of saturated porous media, taking into account the damage phenomena on the solid skeleton. The porous media is taken into poro-elastic framework, in full-saturated condition, based on the Biot’s Theory. A scalar damage model is assumed for this analysis. An implicit boundary element method (BEM) formulation, based on time-independent fundamental solutions, is developed and implemented to couple the fluid flow and two-dimensional elastostatic problems. The integration over boundary elements is evaluated by using a numerical Gauss procedure. A semi-analytical scheme for the case of triangular domain cells is followed to carry out the relevant domain integrals. The non-linear problem is solved by a Newton-Raphson procedure. Numerical examples are presented, in order to validate the implemented formulation and to illustrate its efficiency.

Keywords: Porous Media. Isotropic Damage. Boundary Element Method.

LIMA JR., E. T.; VENTURINI, W. S.; BENALLAL, A. BEM analysis of porous media subjected to damage: an application to geomechanics. Cadernos de Engenharia de Estruturas, São Carlos, v. 12, n. 57, p. 109-124, 2010. ISSN: 1809-5860.