Modeling Weak Discontinuities in Saturated Porous Medium by Using Extended Finite Element Method

Abstract

Abstract-The present paper discusses the development of the modeling coupled deforming porous media which contains weak discontinuity. The formulation is based on the coupled solid deformation and fluid pressure. The spatial and time discretization is carried out by extended finite element method and generalized Newmark method, respectively. The fluid flow normal to material discontinuity is modeled by enhancing the pressure field with the modified level set function, which is mostly used for weak discontinuities. Finally as a verification, a problem of material interface under the assumption of fully coupled system is examined.