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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2023 Volume 26, Number 1, Pages 33–46 (Mi sjim1210)

Mathematical modeling of the heavy oil production with hydraulic fracturing and radio-frequency electromagnetic radiation

A. Ya. Davletbaev, L. A. Kovaleva, Z. S. Mukhametova

Ufa University of Science and Technologies, ul. Zaki Validi 32, Ufa 450076, Russia

Abstract: The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well a radio-frequency electromagnetic irradiation. An element of a development system with several fractured wells in which the fractures have the same geometry and properties, and are directed along regional stresses, is considered. The model takes into account the effects of thermal expansion of oil, the dependence of the viscosity of fluid on temperature, the influence of the surrounding wells on pressure and temperatures distribution around the producing well with thermal influence. Numerical calculations of variants with different fracture conductivities have been performed, the processes of mass and heat transfer in the around fractured well have been investigated, and comparative calculations with "cold" production have been performed.

Keywords: fracture, hydraulic fracturing, radio-frequency electromagnetic irradiation, element of the development system, heavy oil. .

UDC: 532.546

Received: 22.08.2022
Revised: 22.08.2022
Accepted: 29.09.2022

DOI: 10.33048/SIBJIM.2023.26.103


 English version:
Journal of Applied and Industrial Mathematics, 2023, 17:1, 32–42


© Steklov Math. Inst. of RAS, 2026