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Finite element implementation of coupled hydro-mechanical modeling of transversely isotropic porous media in ***

International Journal of Modeling, Simulation, and Scientific Computing 2021年第1期12卷 173-184页

作者： Hong-Lam Dang Duc-Phi Do Faculty of Civil Engineering University of Transport and Communications No.3 Cau Giay HanoiVietnam LaM´e Laboratory F-45072University of Orl´eans University of ToursINSA CVLOrl´eansFrance

In geotechnical engineering,modeling geo-structures is challenging,particularly in cases where the interaction between the structures and soil or rock is *** wellknown commercial modeling software is based on homogenous and isotropic ***,soil and rock are often modeled in heterogeneous and anisotropic media because of the inherent anisotropy of sedimentary rock masses and their stratified *** recent decades,coupled hydro-mechanical(HM)interactions in isotropic porous media have been studied;however,the behavior of transversely isotropic porous media is rarely *** addition,it is difficult for commercial software such as Plaxis and Flac3D to express complex rock formation where the anisotropy of the material and the associated cracks and fractures could be assembled into a single *** this study,a finite element implementation using Differential Equation Analysis Library(***),an open-source library of finite element codes,was developed to model the fully coupled HM behavior of transversely isotropic porous *** proposed implementation can be applied to both isotropic and transversely isotropic porous media based on Biot’s *** developed code can be used to model poroelastic media with(1)equations of linear elasticity for the solid matrix and(2)diffusion equations for fluid flow based on mass and linear-momentum conservation *** verified the performance and accuracy of the code through two examples,i.e.,Mandel’s problem with a compared analytical solution and a tunnel excavation process with the Flac3D *** the basis of these numerical applications,we present the code to model the behavior of various geo-structures such as tunnels and pile–soil interactions with anisotropic materials.

关键词： Coupled hydro-mechanical modeling transversely isotropic porous media Biot’s theory finite element method DEAL.II

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