MATHEMATICAL MODEL OF HYDROGEN STORAGE IN AQUIFER

• Date: 2023
• Main Authors: Morozov, Yu., Zhokhin, А.
• Format: Article
• Language: Ukrainian
• Published: Institute of Renewable Energy National Academy of Sciences of Ukraine 2023
• Subjects: gas storage; hydrogen; aquifer; mathematical model; finite difference method.
• Online Access: https://ve.org.ua/index.php/journal/article/view/435
• Journal Title: Vidnovluvana energetika

A mathematical model of the underground storage of hydrogen in an aquifer is proposed, which describes the hydrodynamic interaction between hydrogen, which is injected through a well, and water in porous aquifers, which is displaced from the formation by the pressure of hydrogen gas. The model is a system of differential equations in partial derivatives for functions of the coordinates and time of the pressure potential and the gas-water contact boundary. The considered model is proposed to be used in numerical calculations using difference schemes in time and space coordinates of non-stationary methods of approximation of differential equations. The relevance of the use and study of gas storages and their mathematical modeling is given. A mathematical model of hydrogen storage in the aquifer was built, which describes the displacement of liquid water by hydrogen gas in the porous layer into its peripheral horizontal region. The model is a system of evolutionary partial differential equations for hydrogen pressure and movement of the boundary between water and hydrogen gas. Cylindrical symmetry is assumed in the model. For the analysis of time-space processes in the sto-rage of hydrogen based on the presented model, it is proposed to use finite-difference numerical methods that allow to closely investigate and analyze the processes of hydrogen injection and pumping in aquifers. Since these processes occur deep underground and are quite difficult to observe, the use of a mathematical model helps predict these processes with some accuracy, both qualitatively and quantitatively.