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Numerical Method for Solving the Inverse Problem of Nonisothermal Filtration


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Abstract

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.

About the authors

E. R. Badertdinova

Kazan National Research Technological University

Author for correspondence.
Email: badertdinova@yandex.ru
Russian Federation, Kazan, Tatarstan, 420015

M. Kh. Khairullin

Institute of Mechanics and Engineering, Kazan Scientific Center

Author for correspondence.
Email: khairullin@imm.knc.ru
Russian Federation, Kazan, 420111

M. N. Shamsiev

Institute of Mechanics and Engineering, Kazan Scientific Center

Author for correspondence.
Email: mshamsiev@imm.knc.ru
Russian Federation, Kazan, 420111

R. M. Khairullin

Kazan National Research Technological University

Author for correspondence.
Email: rustemkhairullin@yandex.ru
Russian Federation, Kazan, Tatarstan, 420015

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