Title: Analysis of a nonlinear model arising in chemical aggression of marble

Authors: Giuseppe Alì; Isabella Torcicollo; Carmelo Scuro

Addresses: Department of Physics, University of Calabria, Arcavacata di Rende, Italy; National Institute for Nuclear Physics (INFN), Associated Group of Cosenza, Arcavacata di Rende, I-87036 Cosenza, Italy ' Istituto per le Applicazioni del Calcolo 'Mauro Picone' (IAC), National Research Council (CNR), Naples, Italy ' Department of Physics, University of Calabria, Arcavacata di Rende, Italy

Abstract: We present a simple model describing the chemical aggression undergone by calcium carbonate rocks in the presence of acid atmosphere. A large literature is available on the deterioration processes of building stones, in particular in connection with problems concerning historical buildings in the field of cultural heritage. It is well known that the greatest aggression is caused by sulphur dioxide and nitrate. In this paper we consider the corrosion caused by sulphur dioxide, which, reacting with calcium carbonate, produces gypsum. The model proposed is obtained by considering both the diffusive and convective effects of propagation and assuming that the porous medium is saturated with a compressible fluid having an assigned polytropic constitutive equation for the pressure. The qualitative behaviour of the one-dimensional solutions in the fast reaction limit is performed.

Keywords: porous media; chemical reactions; Stefan problem; fast reaction limit.

DOI: 10.1504/IJMRI.2023.129551

International Journal of Masonry Research and Innovation, 2023 Vol.8 No.2/3, pp.263 - 274

Received: 15 Jul 2021
Accepted: 27 Sep 2021
Published online: 14 Mar 2023 *

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