A Conservative Phase-Field Model for Reactive Transport

Abstract

We present a phase-field model for single-phase flow and reactive transport where ions take part in mineral precipitation/dissolution reactions. The evolving interface between fluid and mineral is approximated by a diffuse interface, which is modeled using an Allen-Cahn equation. As the original Allen-Cahn equation is not conservative, we apply a reformulation ensuring conservation of the phase-field variable and address the sharp-interface limit of the reformulated model. This model is implemented using a finite volume scheme and the discrete conservation of the reformulated Allen-Cahn equation is shown. Numerical examples show how the discrete phase-field variable is conserved up to the chemical reaction.