An XFEM model for cracked porous media: effects of fluid flow and heat transfer |
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Authors: | Qian Shao Lyazid Bouhala Anis Younes Pedro Núñez Ahmed Makradi Salim Belouettar |
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Affiliation: | 1. Centre de Recherche Public Henri Tudor, 29, avenue John F. Kennedy, 1855?, Luxembourg-Kirchberg, Luxembourg 2. Laboratoire d’Hydrologie et de Géochimie de Strasbourg, Université de Strasbourg/EOST, CNRS, 1 rue Blessig, 67084?, Strasbourg, France 3. Departemento de Química Inorgánica, Universidad de La Laguna, 38200?, La Laguna, Tenerife, Spain
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Abstract: | In this work, a numerical model is developed to investigate the influence of fluid flow and heat transfer on the thermo-mechanical response of a cracked porous media. The fluid flow, governed by the Darcy’s law, is discretized with the nonconforming finite element method. Time splitting is used with the energy conservation equation to solve the fluid and the solid phases separately. A combination of Discontinuous Galerkin (DG) and multi-point flux approximation methods is used to solve the advection-diffusion heat transfer equation in the fluid phase. While the conductive heat transfers equation in the solid phase is solved using the eXtended finite element method (XFEM) to better handle the temperature discontinuities and singularities caused by the cracks. Further, the resulted temperature is used as body force to solve the thermo-mechanical problem using the XFEM. In the post processing stage, the thermal stress intensity factor is computed using the interaction integral technique at each time step and used to validate the obtained results. A good agreement was found when the results were compared with the existing ones in the literature. |
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