TY - JOUR
T1 - A locally conservative mixed finite element framework for coupled hydro-mechanical–chemical processes in heterogeneous porous media
AU - Kadeethum, T.
AU - Lee, S.
AU - Ballarin, F.
AU - Choo, J.
AU - Nick, H. M.
PY - 2021
Y1 - 2021
N2 - This paper presents a mixed finite element framework for coupled hydro-mechanical–chemical processes in heterogeneous porous media. The framework combines two types of locally conservative discretization schemes: (1) an enriched Galerkin method for reactive flow, and (2) a three-field mixed finite element method for coupled fluid flow and solid deformation. This combination ensures local mass conservation, which is critical to flow and transport in heterogeneous porous media, with a relatively affordable computational cost. A particular class of the framework is constructed for calcite precipitation/dissolution reactions, incorporating their nonlinear effects on the fluid viscosity and solid deformation. Linearization schemes and algorithms for solving the nonlinear algebraic system are also presented. Through numerical examples of various complexity, we demonstrate that the proposed framework is a robust and efficient computational method for simulation of reactive flow and transport in deformable porous media, even when the material properties are strongly heterogeneous and anisotropic.
AB - This paper presents a mixed finite element framework for coupled hydro-mechanical–chemical processes in heterogeneous porous media. The framework combines two types of locally conservative discretization schemes: (1) an enriched Galerkin method for reactive flow, and (2) a three-field mixed finite element method for coupled fluid flow and solid deformation. This combination ensures local mass conservation, which is critical to flow and transport in heterogeneous porous media, with a relatively affordable computational cost. A particular class of the framework is constructed for calcite precipitation/dissolution reactions, incorporating their nonlinear effects on the fluid viscosity and solid deformation. Linearization schemes and algorithms for solving the nonlinear algebraic system are also presented. Through numerical examples of various complexity, we demonstrate that the proposed framework is a robust and efficient computational method for simulation of reactive flow and transport in deformable porous media, even when the material properties are strongly heterogeneous and anisotropic.
KW - Enriched Galerkin method
KW - Hydro-mechanical–chemical coupling
KW - Local conservation
KW - Mixed finite element method
KW - Poroelasticity
KW - Reactive flow
UR - http://www.scopus.com/inward/record.url?scp=85104350942&partnerID=8YFLogxK
U2 - 10.1016/j.cageo.2021.104774
DO - 10.1016/j.cageo.2021.104774
M3 - Article
AN - SCOPUS:85104350942
SN - 0098-3004
VL - 152
SP - 1
EP - 16
JO - Computers and Geosciences
JF - Computers and Geosciences
M1 - 104774
ER -