Using reduced basis approximation for efficient surrogate‑based inverse identification of thermo‑hydro‑mechanical parameters from an in situ heating test

Ygee Larion, Guangjing Chen, Sergio Zlotnik, Pedro Díez, Suresh Seetharam, Thierry J. Massart

Research outputpeer-review


In this paper, a reduced-order model built from the reduced basis (RB) method is used as a surrogate for an inverse identification problem related to coupled thermo-hydro-mechanical (THM) processes. The RB space—spanned by solutions of the governing THM equations—is constructed using a greedy adaptive procedure guided by an a posteriori error estimator that selects the optimal snapshot points in a given parametric space. The RB model is assessed in terms of accuracy and computational cost reduction for the three-dimensional transient coupled problem described by the ATLAS III small-scale in situ heating test. The substantial system size reduction and the associated significant computational gain result in a surrogate model suitable for parameter identification procedures in the Boom Clay material. The effectiveness of the proposed strategy is demonstrated by performing inverse analysis based on direct-search and genetic algorithm (GA) optimization supported by real sensor measurement data where 800 times faster computational speed-up was achieved.
Original languageEnglish
Pages (from-to)5739–5757
Number of pages19
JournalRock Mechanics and Rock Engineering
Issue number9
StatePublished - 1 Sep 2022

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