A Locally Conservative Mixed Finite Element Framework for Coupled Hydro-Mechanical-Chemical Processes in Heterogeneous Porous Media

Abstract

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.

Preprint submitted to Elsevier

References in corpus (3)

• Physics-informed Neural Networks for Solving Nonlinear Diffusivity and Biot's equations
• Enriched Galerkin Discretization for Modeling Poroelasticity and Permeability Alteration in Heterogeneous Porous Media
• Physics-informed Neural Networks for Solving Inverse Problems of Nonlinear Biot's Equations: Batch Training

Cited by in corpus (6)

• Non-intrusive reduced order modeling of natural convection in porous media using convolutional autoencoders: comparison with linear subspace techniques
• Continuous conditional generative adversarial networks for data-driven solutions of poroelasticity with heterogeneous material properties
• Reduced order modeling for flow and transport problems with Barlow Twins self-supervised learning
• Non-intrusive reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation
• Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning
• Extended Barton-Bandis model for rock joints under cyclic loading: Formulation and implicit algorithm