Mathematical Model of Replacing Methane in Hydrate with Carbon Dioxide When It Is Injected into a Reservoir Saturated with a Mixture of Hydrate, Methane, and Water

G. G. Tsypkin

Informatics and Automation, Modern Methods of Mechanics, Tome 322 (2023), pp. 233-240.

Résumé

A mathematical model is proposed for the replacement of methane with carbon dioxide in a hydrate contained in a reservoir in thermodynamic equilibrium with water and free methane. The substitution reaction region is assumed to be narrow enough to be approximated by the conversion front. A self-similar solution is found that reduces the problem to the numerical analysis of a system of transcendental equations. Numerical experiments show that there exist three characteristic regimes of injection, whose implementation depends on the amount of water in the free state in the reservoir.

Détail

Keywords: porous medium, hydrate, methane, carbon dioxide, water, substitution reaction
Mots-clés : conversion front.

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