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

10.20347/WIAS.PREPRINT.2999

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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