Mathematical Modeling of Carbon Dioxide Injection into a Reservoir with Methane and Water Taking into Account the Formation of Carbon Dioxide Hydrate

An increase in the concentration of carbon dioxide in the atmosphere caused by thecombustion of fuels has a negative impact on the current biosphere of the Earth. One way to getrid of excess carbon dioxide in the atmosphere is to capture and store it. Various methods forlong-term storage of carbon dioxide are proposed, including in various geological formations in gashydrate form, since gas hydrates have a number of unique properties, for example, it is possible tostably store a sufficiently large amount of gas in a small volume at a relatively low pressure. Oneof the objects for creating underground carbon dioxide storage facilities are depleted natural gasdeposits, since they are well studied, the characteristics of the deposits, their geometric dimensionsare known, and there are drilled wells. To study the patterns of the formation process of anunderground gas hydrate carbon dioxide storage, the article presents a mathematical model of theprocess of carbon dioxide injection into a zonally heterogeneous porous reservoir, initiallysaturated with methane and water, accompanied by the formation of gas hydrate. Unlike previousworks, the mathematical model additionally takes into account a number of factors: the solubilityof carbon dioxide in water, zonal heterogeneity of a reservoir, heat exchange of the reservoir withthe surrounding rocks impermeable to matter, filtration of water and gas. Numerical solutions ofthe problem were constructed to describe the distribution of parameters (pressure, temperature,carbon dioxide hydrate saturation) in the reservoir.