Dissolution of carbonate stones caused by CO2 pollutant: an erosion model
This addresses the degradation of cultural heritage structures like monuments for conservationists, but it is incremental as it builds on existing erosion models.
The authors tackled the problem of modeling erosion in carbonate stones due to CO2-induced dissolution by developing a new mathematical model as a nonlinear reaction-transport system in porous media, and they validated it with numerical tests showing agreement with literature on erosion front advancement.
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.