Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model

V. Chalupecky, T. Fatima, A. Muntean, J. Kruschwitz

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

We consider a two-scale reaction diffusion system able to capture the corrosion of concrete with sulfates. Our aim here is to define and compute two macroscopic corrosion indicators: typical pH drop and gypsum profiles. Mathematically, the system is coupled, endowed with micro-macro transmission conditions, and posed on two different spatiallyseparated scales: one microscopic (pore scale) and one macroscopic (sewer pipe scale). We use a logarithmic expression to compute values of pH from the volume averaged concentration of sulfuric acid which is obtained by resolving numerically the two-scale system (microscopic equations with direct feedback with the macroscopic diffusion of one of the reactants). Furthermore, we also evaluate the content of the main sulfatation reaction (corrosion) product - the gypsum - and point out numerically a persistent kink in gypsum's concentration profile. Finally, we illustrate numerically the position of the free boundary separating corroded from not-yet-corroded regions.
Original languageEnglish
Title of host publicationMultiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011)
Place of PublicationFukuoka
PublisherInstitute of Mathematics for Industry, Kyushu University
Pages22-31
Publication statusPublished - 2012

Publication series

NameCOE Lecture Note Series
Volume39
ISSN (Print)1881-4042

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