Numerical method for solving the inverse problem of nonisothermal filtration.

*(English)*Zbl 1453.76187Summary: In this work a mathematical model of thermohydrodynamic processes occurring in the oil reservoir and the horizontal well bore is developed. On the basis of the proposed model and regularization methods, a computational algorithm for solving the inverse coefficient problem is proposed. Data of temperature changes, registered simultaneously by several depth gauges installed in the different locations of the horizontal part of the well bore, is taken as the initial information.

##### MSC:

76M99 | Basic methods in fluid mechanics |

65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |

35R30 | Inverse problems for PDEs |

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

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\textit{E. R. Badertdinova} et al., Lobachevskii J. Math. 40, No. 6, 718--723 (2019; Zbl 1453.76187)

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##### References:

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