Engineering Calculation of Helical Microwave Heater of the Downhole Oil Wells

Mathematical Model of the Electrothermal Process of Heating the Formation by the Ultra-Frequency Electromagnetic Waves

“…is the complex dielectric mixture constant; other coefficients are presented in works [2,6,7]. Let us write down the basic differential equations of Maxwell's electrodynamics to describe electromagnetic waves and Fourier thermal conductivity:…”

“…According to (6), the Umov-Poynting theorem means that the average energy of P penetrated into the envelope surface S, following the modulus and phase, depends on the amplitude, distribution, and corresponding phase of the electric and magnetic fields. The transformation of the surface integral in (6), according to the Gauss theorem, into an integral over the volume, leads to the determination of the loss of active energy due to the finite conductivity of the medium, losses for polarization reversal and magnetization reversal of the environment, i.e., power loss of electromagnetic radiation:…”

“…The scheme of the microwave effect on the bottom of an oil well and the scheme of the installation (emitter) are presented in [6,7].…”

“…Currently, most of the technological processes for the production of products are associated with heating materials. Microwave heating technologies have begun to be actively used not only in domestic conditions, but also in many industries, as effective, multiply accelerating production processes [1][2][3][4][5][6][7][8].…”

“…One of the ways to solve this problem is considered in works [6,7]. They propose safe microwave heating of the bottom of an oil well to enhance the production of hydrocarbons from the formation using a spiral microwave heater (SMH).…”