Analytical solutions for transient temperature distribution in heavy-oil reservoir due to heating producer well.

*(English)*Zbl 1454.80005Analytical solutions to the problem of heating the bottom hole zone using a heater with a constant temperature or power are obtained. The analytical solutions are compared with the known approximate solutions. The article is well written and the approach in the article is easily understandable for learners.

The abstract part is clear and what so ever the author mentions in the abstract is reflected in the title of the paper.

The author cites the references from old to latest. The author presents the solution methodology clearly and no typographical errors were observed.

The abstract part is clear and what so ever the author mentions in the abstract is reflected in the title of the paper.

The author cites the references from old to latest. The author presents the solution methodology clearly and no typographical errors were observed.

Reviewer: W. Sridhar (Vaddeswaram)

##### MSC:

80A19 | Diffusive and convective heat and mass transfer, heat flow |

80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |

76S05 | Flows in porous media; filtration; seepage |

35Q79 | PDEs in connection with classical thermodynamics and heat transfer |

##### Keywords:

heavy-oil reservoir; downhole heater; heat transfer; Peclet number; temperature distribution; analytical solution; well productivity
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\textit{P. E. Morozov}, Lobachevskii J. Math. 41, No. 7, 1261--1266 (2020; Zbl 1454.80005)

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##### References:

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[10] | Tyutyaev, A. V.; Dolzhikov, A. S.; Zvereva, I. S., Calculation method of efficiency evaluation at oil wells electric heating, Fundam. Issled., 2, 30-32 (2015) |

[11] | Mao, D.; Xie, X.; Jones, R. M.; Harvey, A.; Caranikas, J. M., A simple approach for quantifying accelerated production through heating producer wells, Soc. Pet. J. Eng., 22, 316-326 (2017) |

[12] | Tazetdinova, Y. A., To the theory of filtration of high-viscosity oil under thermal effects, Lobachevskii J. Math., 40, 2008-2012 (2019) · Zbl 1434.76136 |

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