A porous-media model for reactive fluid–rock interaction in a dehydrating rock

Author:

Zafferi Andrea1ORCID,Huber Konstantin2ORCID,Peschka Dirk3ORCID,Vrijmoed Johannes2ORCID,John Timm2ORCID,Thomas Marita13ORCID

Affiliation:

1. Department of Mathematics and Computer Science, Freie Universität Berlin 1 , Arnimalle 9, 14195 Berlin, Germany

2. Department of Earth Sciences, Freie Universität Berlin 2 , Malteserstr. 74-100, 12249 Berlin, Germany

3. Weierstrass Institute for Applied Analysis and Stochastics 3 , Mohrenstr. 39, 10117 Berlin, Germany

Abstract

We study the General Equations of Non-Equilibrium Reversible–Irreversible Coupling (GENERIC) structure of models for reactive two-phase flows and their connection to a porous-media model for a 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 datasets.

Funder

Deutsche Forschungsgemeinschaft

Berlin Mathematics Research Center MATH+

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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