Finite Element Modeling of a Nonlinear Poromechanic Deformation in Porous Media
Manouchehr Sanei1; Omar Durán2; Philippe R.B. Devloo3
1 DEP-FEM-Universidade Estadual de Campinas, SP; 2 Center for Petroleum Studies CEPETRO - UNICAMP, SP; 3 FEC-Universidade Estadual de Campinas, SP
doi:10.20906/CPS/CILAMCE2017-0418
Resumo
Coupled fluid flow and deformation analysis in porous media is a remarkable subject in many engineering applications such as petroleum, civil, geothermal, biomechanical and nuclear engineering. Specifically, in petroleum applications the understanding of the poromechanic response of any petroleum reservoir is crucial for the accurate prediction of reservoir performance and evaluation of environmental impacts. Thus, this study develops an up to date coupled model between fluid flow and non-linear deformation in porous media, which delineates the complex multiphysics problem associated to reservoir depletion under solid deformation. The poromechanic analysis includes the linear component based on the Biot's theory and the nonlinear component based on the plastic deformation being established using the Drucker-Prager constitutive model. The fluid flow formulation in this coupling will be represented by the Darcy law. The numerical approximation lies on the Finite Element method with continuous Galerkin (CG) approximations for the u / p formulation, being u displacement and p pore pressure. Several simulations are compared with analytical and experimental data showing the validity of the computational implementation.
Palavras-chave: Finite Element; Poromechanic; Drucker-Prager; Porous Media