Mathematical Modeling of the Heavy Oil Production with Hydraulic Fracturing under Radio-Frequency Electromagnetic Irradiation

Abstract— The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well under radio-frequency electromagnetic irradiation. We consider an element of a development system with several fractured wells. The fractures have the same geometry and properties and are directed along the regional stresses. The model takes into account the effects of thermal expansion of oil, the dependence of the viscosity of fluid on temperature, and the influence of the surrounding wells on the nonstationary pressure and temperature distributions around the producing well under thermal influence. Numerical calculations of variants with various fracture conductivities are carried out, the processes of mass and heat transfer around the fractured well are investigated, and comparative calculations with “cold” production are performed.