Thermoporoelasticity via homogenization: modeling and formal two-scale expansions

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

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1-25
Number of pages25
JournalInternational Journal of Engineering Science
Volume138
DOIs
Publication statusPublished - 1 May 2019

Keywords

  • Fluid-structure interaction
  • Heat transfer
  • Linear thermoelasticity
  • Porous media
  • Two-scale expansions
  • Upscaling

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