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Data-informed mathematical characterization of absorption properties in artificial and natural porous materials

Author

Listed:
  • Braun, Elishan C.
  • Bretti, Gabriella
  • Di Fazio, Melania
  • Medeghini, Laura
  • Pezzella, Mario

Abstract

In this work, we characterize the water absorption properties of selected porous materials through a combined approach that integrates laboratory experiments and mathematical modeling. Specifically, experimental data from imbibition tests on marble, travertine, wackestone and mortar mock-ups are used to inform and validate the mathematical and simulation frameworks. First, a monotonicity-preserving fitting procedure is developed to preprocess the measurements, aiming to reduce noise and mitigate instrumental errors. The imbibition process is then simulated through a partial differential equation model, with parameters calibrated against rough and smoothed data. The proposed procedure appears particularly effective to characterize absorption properties of different materials and it represents a reliable tool for the study and preservation of cultural heritage.

Suggested Citation

  • Braun, Elishan C. & Bretti, Gabriella & Di Fazio, Melania & Medeghini, Laura & Pezzella, Mario, 2026. "Data-informed mathematical characterization of absorption properties in artificial and natural porous materials," Applied Mathematics and Computation, Elsevier, vol. 528(C).
    • Handle: RePEc:eee:apmaco:v:528:y:2026:i:c:s0096300326001840
    DOI: 10.1016/j.amc.2026.130132
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