WIAS Preprint No. 2999, (2023)
A porous-media model for reactive fluid-rock interaction in a dehydrating rock
Authors
- Zafferi, Andrea
ORCID: 0000-0003-4012-7666 - Huber, Konstantin
- Peschka, Dirk
ORCID: 0000-0002-3047-1140 - Vrijmoed, Johannes
- John, Timm
ORCID: 0000-0003-0686-5585 - Thomas, Marita
ORCID: 0000-0001-9172-014X
2020 Mathematics Subject Classification
- 35D30 35Q35 37K58 76Nxx 76M30 80A32 80M30
Keywords
- Reactive porous media, thermomechanical modeling, GENERIC, Darcy flow, equilibration of fast dissipative processes, time-discrete scheme
DOI
Abstract
We study the GENERIC structure of models for reactive two-phase flows and their connection to a porous-media model for reactive fluid-rock interaction used in Geosciences. For this we discuss the equilibration of fast dissipative processes in the GENERIC framework. Mathematical properties of the porous-media model and first results on its mathematical analysis are provided. The mathematical assumptions imposed for the analysis are critically validated with the thermodynamical rock data sets.
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