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We explore the homogenization limit and rigorously derive upscaled equationsfor a microscopic reaction-diffusion system modeling sulfate corrosion in sewerpipes made of concrete. The system, defined in a periodically-perforateddomain, is semi-linear, partially dissipative and weakly coupled via anon-linear ordinary differential equation posed on the solid-water interface atthe pore level. Firstly, we show the well-posedness of the microscopic model.We then apply homogenization techniques based on two-scale convergence for anuniformly periodic domain and derive upscaled equations together with explicitformulae for the effective diffusion coefficients and reaction constants. Weuse a boundary unfolding method to pass to the homogenization limit in thenon-linear ordinary differential equation. Finally, besides giving its strongformulation, we also prove that the upscaled two-scale model admits a uniquesolution.

Sulfate attack in sewer pipes: Derivation of a concrete corrosion model via two-scale convergence