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Sulfate attack in sewer pipes: Derivation of a concrete corrosion model via two-scale convergence
Technical University Eindhoven. (Mathematics)ORCID-id: 0000-0002-1160-0007
2014 (engelsk)Inngår i: Nonlinear Analysis, ISSN 1468-1218, Vol. 15, nr 1, s. 326-344Artikkel i tidsskrift (Fagfellevurdert) Published
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Abstract [en]

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.

sted, utgiver, år, opplag, sider
Oxford: Elsevier, 2014. Vol. 15, nr 1, s. 326-344
Emneord [en]
two-scale convergence, sulphate corrosion, concrete, porous media, effective models
HSV kategori
Forskningsprogram
Matematik
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URN: urn:nbn:se:kau:diva-39787DOI: 10.1016/j.nonrwa.2012.01.019ISI: 000328011300028Scopus ID: 2-s2.0-84885301408OAI: oai:DiVA.org:kau-39787DiVA, id: diva2:901163
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Tilgjengelig fra: 2016-02-06 Laget: 2016-02-06 Sist oppdatert: 2017-11-30bibliografisk kontrollert

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