Thermoporoelasticity via homogenization I. Modeling and formal two-scale expansions
Résumé
In this paper we derive a macroscopic model for thermoporoelasticity from the pore scale linearized fluid-structure and energy equations. We consider the continuum mechanics thermody-namically compatible pore scale equations corresponding to realistic rock mechanics parameters. They are upscaled using two-scale asymptotic expansions. For the upscaled equations a Lya-punov functional (a generalization of Biot's free energy) is constructed and the well-posedness * C.J.v.D. acknowledges support of the LABEX MILYON (ANR-10-LABX-0070) of Université de Lyon, within the program " Investissements d'Avenir " (ANR-11-IDEX-1 of the model is discussed. Possible applications to large time numerical simulations are pointed out.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...