A forecasting model for the porosity variation during the carbonation process. (English) Zbl 1492.76106
Summary: In this paper we introduce a mathematical model of concrete carbonation Portland cement specimens. The main novelty of this work is to describe the intermediate chemical reactions, occurring in the carbonation process of concrete, involving the interplay of carbon dioxide with the water present into the pores. Indeed, the model here proposed, besides describing transport and diffusion processes inside the porous medium, takes into account both fast and slow phenomena as intermediate reactions of the carbonation process. As a model validation, by using the mathematical based simulation algorithm we are able to describe the effects of the interaction between concrete and \(\mathrm{CO}_2\) on the porosity of material as shown by the numerical results in substantial accordance with experimental results of accelerated carbonation taken from literature. We also considered a further reaction: the dissolution of calcium carbonate under an acid environment. As a result, a trend inversion in the evolution of porosity can be observed for long exposure times. Such an increase in porosity results in the accessibility of solutions and pollutants within the concrete leading to an higher permeability and diffusivity thus significantly affecting its durability.
MSC:
| 76S05 | Flows in porous media; filtration; seepage |
| 35R37 | Moving boundary problems for PDEs |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
Keywords:
concrete carbonation; reaction and diffusion models; model parameter estimation; finite difference schemesReferences:
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