Finite element methods for unsaturated porous solids and their application to dam engineering problems

Hyperelastic Multiphase Porous Media with Strain-Dependent Retention Laws

“…Furthermore, taking into account the compressibility of all the phases, we have assessed the thermodynamic consistency of an extension of Biot's coefficient to partially saturated anisotropic porous media. 5 The poroelastic models presented in this article can be successfully applied in the analysis of problems involving a negligible irreversible behavior, as shown by the numerical simulations and the comparison with available experimental data performed by Callari and Abati (2009). Among these problems, there is the evaluation of the coupled response of soils to the drainage induced by imposed changes of boundary conditions on flow, in the absence of mechanical loading.…”

Strong discontinuities in partially saturated poroplastic solids

“…Details are omitted here, with the reader referred to [1,18] for particulars on the continuum contributions. We also refer to [19,20,22] for details on a nested strategy for the static condensation outlined above, by which Eq.…”

“…In the present work, we consider the partially saturated model presented recently in [17,18] for the continuum response of the solid. The model is formulated in a Biot thermodynamic framework [11,23] employing the same primary variables of displacements and fluid pressures (rather than e.g.…”

A solution to transient seepage in unsaturated porous media

“…1); see the excellent discussion in [27,10]. The situation is even more complex when these conditions change over time.…”

“…To circumvent this problem, a number of strategies has been proposed in the literature and some include iterative techniques while others use mesh adaptivity [4][5][6][7]. The topic is still active with some recent papers published [8][9][10][11][12].…”