Modelling the Effects of Protective Treatments in Porous Materials

Bretti, Gabriella; Filippo, Barbara De; Natalini, Roberto; Goidanich, Sara; Roveri, Marco; Toniolo, Lucia

doi:10.1007/978-3-030-58077-3_5

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2021

2023

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Cited by 4 publications

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“…A strategy for predicting the penetration of carbonation reaction fronts in concrete was proposed by Muntean et al in [24]. A simple 1D mathematical model for the treatment of sandstone neglecting the effects of chemical reactions is proposed in [11] and further refined in [10].…”

Section: Introductionmentioning

confidence: 99%

A model for lime consolidation of porous solids

Detmann,

Gavioli,

Krejčí

et al. 2021

Preprint

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We propose a mathematical model describing the process of filling the pores of a building material with lime water solution with the goal to improve the consistency of the porous solid. Chemical reactions produce calcium carbonate which glues the solid particles together at some distance from the boundary and strengthens the whole structure. The model consists of a 3D convection-diffusion system with a nonlinear boundary condition for the liquid and for calcium hydroxide, coupled with the mass balance equations for the chemical reaction. The main result consists in proving that the system has a solution for each initial data from a physically relevant class. A 1D numerical test shows a qualitative agreement with experimental observations.

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Section: Introductionmentioning

confidence: 99%