MATHematical tools for predictive maintenance and PROtection of CULTtural heritage (MATHPROCULT)
ProjectThe project MATHematical tools for predictive maintenance and PROtection of CULTtural heritage (MATHPROCULT) aimed at developing and calibrating mathematical models for the analysis, study and forecast of chemical aggression to building stones in the realm of cultural heritage management. The case study was chosen to be the area of the Terme di Porta Marina at the archaeological park of Ostia Antica, in Roma.
Two novel mathematical models have been designed: one for the process of stone erosion via carbonation and the second for imbibition, capillary rise and salt cristallization in porous materials. The third model considered was the well-established one of marble sulfation.
We have proposed a complete framework from the on-site the geometry acquisition via photogrammetry, to the generation of a computerized model for the real geometry of the object via level-set methods, to performing “in silico” experiments for the evolution of damage based on simulations with mathematical models based on partial differential equations. Further, new techniques to calibrate the parameters of mathematical models in this context hve been developed and published.
Moreover the project has analyzed a 2-years long data series of weather and pollutant measurement data have been collected at two locations in the pilot site and chemically investigated samples of bricks and mortars from the weathered ancient walls at the Terme di Porta Marina.
Results have been disseminated in public events, scientific conferences and throught the publication in international journals.
Two novel mathematical models have been designed: one for the process of stone erosion via carbonation and the second for imbibition, capillary rise and salt cristallization in porous materials. The third model considered was the well-established one of marble sulfation.
We have proposed a complete framework from the on-site the geometry acquisition via photogrammetry, to the generation of a computerized model for the real geometry of the object via level-set methods, to performing “in silico” experiments for the evolution of damage based on simulations with mathematical models based on partial differential equations. Further, new techniques to calibrate the parameters of mathematical models in this context hve been developed and published.
Moreover the project has analyzed a 2-years long data series of weather and pollutant measurement data have been collected at two locations in the pilot site and chemically investigated samples of bricks and mortars from the weathered ancient walls at the Terme di Porta Marina.
Results have been disseminated in public events, scientific conferences and throught the publication in international journals.