19–22 May 2026
Europe/Paris timezone

Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model

21 May 2026, 11:35
15m
Oral Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes MS07

Speaker

Son-Young Yi (The University of Texas at El Paso)

Description

We present a computational framework for simulating tightly coupled thermo-hydro-mechanical processes in porous media, as encountered in subsurface energy and environmental applications. The model is based on a fully coupled, quasi-static thermo-poroelasticity model, capturing the mutual feedback between deformation, pressure, and temperature.

To solve this multiphysics system efficiently and robustly, we employ a unified enriched Galerkin (EG) discretization. The approach combines the advantages of continuous and discontinuous methods: a locking-free EG formulation is used for the mechanical response, while locally conservative EG discretizations ensure accurate mass and energy balance for flow and heat transport. As a result, the method preserves key physical conservation properties at significantly lower computational cost than standard discontinuous Galerkin or mixed finite element approaches.

We present a mathematical theory of well-posedness and optimal convergence, and validate the approach through numerical experiments that demonstrate accuracy, robustness, and mass and energy conservation. These results indicate that enriched Galerkin methods offer a practical and scalable tool for multiphysics simulations in porous media, bridging rigorous numerical analysis with applications at laboratory and field scales.

Country USA
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Author

Son-Young Yi (The University of Texas at El Paso)

Co-author

Sanghyun Lee (Florida State University)

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