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

Fingerprint

Sewers
Gypsum
Macros
Pipe
Corrosion
Sulfuric acid
Concretes
Feedback
Sulfates

Cite this

Chalupecky, V., Fatima, T., Muntean, A., & Kruschwitz, J. (2012). Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model. In Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011) (pp. 22-31). (COE Lecture Note Series; Vol. 39). Fukuoka: Institute of Mathematics for Industry, Kyushu University.
Chalupecky, V. ; Fatima, T. ; Muntean, A. ; Kruschwitz, J. / Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model. Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011). Fukuoka : Institute of Mathematics for Industry, Kyushu University, 2012. pp. 22-31 (COE Lecture Note Series).
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title = "Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model",
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.",
author = "V. Chalupecky and T. Fatima and A. Muntean and J. Kruschwitz",
year = "2012",
language = "English",
series = "COE Lecture Note Series",
publisher = "Institute of Mathematics for Industry, Kyushu University",
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Chalupecky, V, Fatima, T, Muntean, A & Kruschwitz, J 2012, Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model. in Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011). COE Lecture Note Series, vol. 39, Institute of Mathematics for Industry, Kyushu University, Fukuoka, pp. 22-31.

Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model. / Chalupecky, V.; Fatima, T.; Muntean, A.; Kruschwitz, J.

Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011). Fukuoka : Institute of Mathematics for Industry, Kyushu University, 2012. p. 22-31 (COE Lecture Note Series; Vol. 39).

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

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T1 - Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model

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N2 - 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.

AB - 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.

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Chalupecky V, Fatima T, Muntean A, Kruschwitz J. Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model. In Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011). Fukuoka: Institute of Mathematics for Industry, Kyushu University. 2012. p. 22-31. (COE Lecture Note Series).