Title | Mathematical modeling of unsteady single-phase fluid flow in single-pore reservoirs using web-technologies |
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Authors | A. A. Mazitov^{1}, I. M. Gubaydullin^{1}, V. F. Tishkin^{1, 2}^{1}Institute of Petrochemistry and Catalysis ^{2}Keldysh Institute of Applied Mathematics |

Annotation | The most effective method for studying the filtration properties of the reservoir and fluids are hydrodynamic studies of wells. For mathematical modeling of oil flow, as well as analysis and interpretation of data from hydrodynamic studies of wells, it is proposed to use a web application. The theoretical basis for the application is a mathematical model of the flow of a single-phase fluid in a single-pore reservoir, for which a computational solution algorithm has been developed. The difference scheme was obtained by the finite difference method, which is solved by the scalar sweep method. |

Keywords | mathematical modeling, finite difference method, scalar sweep method, web applications |

Citation | Mazitov A. A., Gubaydullin I. M., Tishkin V. F. ''Mathematical modeling of unsteady single-phase fluid flow in single-pore reservoirs using web-technologies'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 138-141. Available at: https://conf.svmo.ru/files/2023/papers/paper21.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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