Geodesic
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
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern Methods of Mechanics, Tome 322 (2023), pp. 233-240

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: porous medium, hydrate, methane, carbon dioxide, water, substitution reaction
Mots-clés : conversion front. 
@article{TM_2023_322_a17,
     author = {G. G. Tsypkin},
     title = {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}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {233--240},
     publisher = {mathdoc},
     volume = {322},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2023_322_a17/}
}
TY  - JOUR
AU  - G. G. Tsypkin
TI  - 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
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2023
SP  - 233
EP  - 240
VL  - 322
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2023_322_a17/
LA  - ru
ID  - TM_2023_322_a17
ER  - 
%0 Journal Article
%A G. G. Tsypkin
%T 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
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2023
%P 233-240
%V 322
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2023_322_a17/
%G ru
%F TM_2023_322_a17
G. G. Tsypkin. 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. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern Methods of Mechanics, Tome 322 (2023), pp. 233-240. http://geodesic.mathdoc.fr/item/TM_2023_322_a17/