Title | Temperature distribution over the reservoir during viscoplastic oil filtration |
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Authors | N. N. Morozkin^{1}^{1}Bashkir State University |

Annotation | The process of viscoplastic oil filtration is considered in this article. To model the viscoplastic properties of oil, we use a model in which the viscosity depends on the pressure gradient. We use a system from the equations of conductivity and energy, to simulate the process of non-isothermal filtration. In this case, the energy equation takes into account the adiabatic effect and the Joule-Thomson effect.The paper presents the equations for calculating, there is a numerical scheme and input data.We performed calculations for different times of the filtration process.The graphs of temperature distribution over the reservoir for the case of viscoplastic and common oils are given. |

Keywords | Non-isothermal filtration, the dependence of viscosity on pressure gradient, shear gradient, limiting gradient, abnormal oil, viscoplastic oil, high-viscosity oil, thermometry |

Citation | Morozkin N. N. ''Temperature distribution over the reservoir during viscoplastic oil filtration'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 483-490. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper66.pdf. - Date of access: 03.12.2021. |

**© SVMO, National Research Mordovia State University, 2021**

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