Dissolution of carbonate stones caused by CO2 pollutant: an erosion model

TL;DR

This paper presents a new mathematical model for carbonate stone erosion caused by CO2 pollutants, incorporating nonlinear reaction-transport dynamics and a finite difference numerical algorithm with level-set boundary tracking.

Contribution

The paper introduces a novel nonlinear reaction-transport model for carbonate erosion and a finite difference numerical scheme with level-set boundary tracking.

Findings

Numerical tests align with existing literature on erosion front progression.

The model effectively captures the dissolution process in carbonate stones.

The proposed algorithm demonstrates accurate boundary evolution in simulations.

Abstract

In this paper we introduce a new mathematical model describing the erosion process caused in carbonate stones by the dissolution of the porous matrix due to the penetration of carbonic acid present in the environment. Such model is formulated as nonlinear reaction-transport system in porous media governed by Darcy flow. We propose a numerical algorithm based on finite difference approximation that relies on level-set method at the boundaries and we show numerical tests that are in accordance with the literature in terms of the advancement of the erosion front.