Sulfate attack in sewer pipes: Derivation of a concrete corrosion model via two-scale convergence
2014 (English)In: Nonlinear Analysis, ISSN 1468-1218, Vol. 15, no 1, 326-344 p.Article in journal (Refereed) PublishedText
We explore the homogenization limit and rigorously derive upscaled equations for a microscopic reaction-diffusion system modeling sulfate corrosion in sewer pipes made of concrete. The system, defined in a periodically-perforated domain, is semi-linear, partially dissipative and weakly coupled via a non-linear ordinary differential equation posed on the solid-water interface at the pore level. First, we show the well-posedness of the microscopic model. We then apply homogenization techniques based on two-scale convergence for a uniformly periodic domain and derive upscaled equations together with explicit formulas for the effective diffusion coefficients and reaction constants. We use a boundary unfolding method to pass to the homogenization limit in the non-linear ordinary differential equation. Finally, we give the strong formulation of the upscaled system.
Place, publisher, year, edition, pages
Oxford: Elsevier, 2014. Vol. 15, no 1, 326-344 p.
two-scale convergence, sulphate corrosion, concrete, porous media, effective models
Mathematical Analysis Civil Engineering
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-39787DOI: 10.1016/j.nonrwa.2012.01.019ISI: 000328011300028ScopusID: 2-s2.0-84885301408OAI: oai:DiVA.org:kau-39787DiVA: diva2:901163
cited By 82016-02-062016-02-062016-10-07Bibliographically approved