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.

Topics
Nonequilibrium thermodynamics, Irreversible process, Thermodynamic functions, Thermodynamic methods and models, Geophysics, Porous media, Mathematical analysis, Numerical approximations, Dehydration reaction, Multiphase flows
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