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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

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Abstract

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.

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Funding

The work was carried out within the state assignment, project no. AAAA-A20-120011690131-7.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526, Russia

    G. G. Tsypkin

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  1. G. G. Tsypkin
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Correspondence to G. G. Tsypkin.

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Translated from Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Vol. 322, pp. 233–240 https://doi.org/10.4213/tm4329.

Translated by I. Nikitin

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Tsypkin, G.G. 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. Proc. Steklov Inst. Math. 322, 224–231 (2023). https://doi.org/10.1134/S0081543823040181

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  • DOI: https://doi.org/10.1134/S0081543823040181

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