# Modeling of the Temperature Field Recovery in the Oil Pool

• I. L. Khabibullin
• A. Ya. Davtetbaev
• D. F. Mar’in
• A. A. Khisamov
Article

This paper considers the problem on mathematical modeling of the temperature field recovery in the oil pool upon termination of injection of water into the pool. The problem is broken down into two stages: injection of water and temperature and pressure recovery upon termination of injection. A review of the existing mathematical models is presented, analytical solutions for a number of cases have been constructed, and a comparison of the analytical solutions of different models has been made. In the general form, the expression has been obtained that permits determining the temperature change in the oil pool upon termination of injection of water (recovery of the temperature field).

## Keywords

mathematical modeling oil pool filtration temperature distribution termination of injection temperature field recovery

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## Authors and Affiliations

• I. L. Khabibullin
• 1
• A. Ya. Davtetbaev
• 2
• D. F. Mar’in
• 1
• A. A. Khisamov
• 1
1. 1.Bashkir State UniversityUfaRussia
2. 2.OOO “RN-UfaNIPIneft’”UfaRussia