Multiscale sulfate attack on sewer pipes: Numerical study of a fast micro-macro mass transfer limit

Abstract

MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」We present two multiscale reaction-diffusion (RD) systems modeling sulfate attack in concrete structures (here: sewer pipes). The systems are posed on two different spatially separated scales. The only difference between them is the choice of the micro-macro transmission condition. We explore numerically the way in which the macroscopic Biot number Bi^M connects the two reaction-diffusion scenarios. We indicate connections between the solution of the \u22regularized\u22 system (with moderate size of Bi^M) and the solution to the \u22matched\u22 system (with blowing up size of Bi^M), where Henry\u27s law plays the role of the micro-macro transmission condition