Thermoporoelasticity via homogenization: modeling and formal two-scale expansions

C.J. van Duijn, Andro Mikelić (Corresponding author), Mary F. Wheeler, Thomas Wick

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

6 Citaten (Scopus)

Samenvatting

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 thermodynamically compatible pore scale equations corresponding to realistic rock mechanics parameters. They are upscaled using two-scale asymptotic expansions. For the upscaled equations a Lyapunov functional (a generalization of Biot's free energy) is constructed and the well-posedness of the model is discussed. Possible applications to large time numerical simulations are pointed out.

Originele taal-2Engels
Pagina's (van-tot)1-25
Aantal pagina's25
TijdschriftInternational Journal of Engineering Science
Volume138
DOI's
StatusGepubliceerd - 1 mei 2019

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