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.

本文提出了一种混合的有限元框架，用于非均质多孔介质中的水力-化学耦合过程。该框架结合了两种类型的局部保守离散化方案：（1）用于反应流动的富集Galerkin方法，以及（2）用于耦合流体流动和固体变形的三场混合有限元方法。这种结合确保了局部质量守恒，这对于在异质多孔介质中的流动和运输至关重要，并且具有相对可承受的计算成本。为方解石沉淀/溶解反应构建了特定类别的框架，并结合了它们对流体粘度和固体变形的非线性影响。还提出了求解非线性代数系统的线性化方案和算法。