Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-25 |
| Number of pages | 25 |
| Journal | International Journal of Engineering Science |
| Volume | 138 |
| Early online date | 2 Mar 2019 |
| Publication status | Published - May 2019 |
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.
Keywords
- Fluid-structure interaction, Heat transfer, Linear thermoelasticity, Porous media, Two-scale expansions, Upscaling
ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: International Journal of Engineering Science, Vol. 138, 05.2019, p. 1-25.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Thermoporoelasticity via homogenization: Modeling and formal two-scale expansions
AU - van Duijn, C. J.
AU - Mikelić, Andro
AU - Wheeler, Mary F.
AU - Wick, Thomas
N1 - Funding Information: 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-0007) operated by the French National Research Agency (ANR), as well as the support of the Center for Subsurface Modeling, Institute for Computational Engineering and Science (ICES), UT Austin. A.M. was partially supported by Darcy Center, The Netherlands and by The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Science (ICES), UT Austin. T.W. was partially supported by the Center for Subsurface Modeling and the Institute for Computational Engineering and Science (ICES) through the J. Tinsley Oden Faculty Fellowship Research Program.
PY - 2019/5
Y1 - 2019/5
N2 - 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.
AB - 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.
KW - Fluid-structure interaction
KW - Heat transfer
KW - Linear thermoelasticity
KW - Porous media
KW - Two-scale expansions
KW - Upscaling
UR - http://www.scopus.com/inward/record.url?scp=85062276970&partnerID=8YFLogxK
U2 - 10.1016/j.ijengsci.2019.02.005
DO - 10.1016/j.ijengsci.2019.02.005
M3 - Article
AN - SCOPUS:85062276970
VL - 138
SP - 1
EP - 25
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
ER -