Title | Choice of Methods for Solving the Problem of Fluid Dynamic Modeling in a Fractured-Porous Reservoir |
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Authors | R. M. Uzyanbaev^{1, 2}, Y. O. Bobreneva^{2}, S. V. Polyakov^{2, 3}, V. F. Tishkin^{2, 3}^{1}Ufa State Petroleum Technological University ^{2}Institute of Petrochemistry and Catalysis of the Ufa Federal Research Center of the Russian Academy of Sciences ^{3}Keldysh Institute of Applied Mathematics of RAS |

Annotation | The work is devoted to numerical methods for solving the problem of modeling the mass transfer of a two-phase fluid in a carbonate reservoir. The problem is complicated by the presence of two media embedded in each other (a system of fractures and a pore part of the reservoir), which complicates its numerical analysis. For the numerical solution of the problem in the one-dimensional case, explicit and implicit difference schemes on a non-uniform grid are considered and implemented as a software module. Computational experiments were performed, on the basis of which a comparative analysis of the implemented methods was carried out. |

Keywords | mathematical modeling, system of equations for two-phase filtration, frac-tured porous reservoir, piezoconductivity and double porosity, explicit and implicit difference schemes |

Citation | Uzyanbaev R. M., Bobreneva Y. O., Polyakov S. V., Tishkin V. F. ''Choice of Methods for Solving the Problem of Fluid Dynamic Modeling in a Fractured-Porous Reservoir'' [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. 240-247. Available at: https://conf.svmo.ru/files/2023/papers/paper38.pdf. - Date of access: 02.12.2023. |

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

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