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We investigate the fast-reaction asymptotics for a one-dimensionalreaction-diffusion (RD) system describing the penetration of the carbonationreaction in concrete. The technique of matched-asymptotics is used to show thatthe RD system leads to two distinct classes of sharp-interface models, thatcorrespond to different scalings in a small parameter \epsilon representing thefast-reaction. Here \epsilon is the ratio between the characteristic scale ofthe diffusion of the fastest species and the one of the carbonation reaction.We explore three conceptually different scaling regimes (in terms of \epsilon)of the effective diffusivities of the driving chemical species. The limitingmodels include one-phase and two-phase generalised Stefan moving-boundaryproblems as well as a nonstandard two-scale (micro-macro) moving-boundaryproblem -- the main result of the paper. Numerical results, supporting theasymptotics, illustrate the behavior of the concentration profiles for relevantparameter regimes.

Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation