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Thermal processes during acoustic impact on a liquid-saturated porous

Выполнено исследование процесса нагрева трехзонной пористой среды, насыщенной жидкостью, с помощью акустического поля. С учетом того, что основным механизмом, переводящим энергию акустического поля в тепло, является сила вязкого трения между насыщающей жидкостью и скелетом пористой среды, построена функция объемного источника тепла для процесса нагрева пористой среды акустическим воздействием. Исследована зависимость температурного поля от параметров пористой среды и акустического поля.
 Research of the impact of acoustic field on the near-well zone of rocks is considered to be attractive for using in different technological processes, in particular, during gas-oil well exploitation. Thermal effect under acoustic impact on three-zone porous medium is analyzed in this paper.

At the boundary of the porous medium a source of harmonic pressure waves is imposed. Affected by a source of pressure waves liquid will vibrate relatively to the skeleton of the porous medium.

The wave and the thermal problem are considered. The linearized equations of continuity, momentum and state, as well as boundary conditions are written for the wave problem. For the boundary between the first and second zones we write the conditions of absence of an abrupt change in the pressure and the velocity of motion of the liquid, and the right-hand boundary of the second zone is considered to be highly permeable.

The solution of the wave problem is sought in the form of a traveling wave. Solutions are obtained for the pressure and velocity of fluid flow the formula for calculating the average heat influx per unit volume in a unit time.

For the temperature problem we write the equation of the influx of heat to the porous medium saturated with liquid, with allowance for the heat source due to the viscous attenuation of the acoustic field.

The temperature problem is solved numerically by the sweep method. The dependence of the temperature field from the porous medium parameters and the acoustic field has been analyzed. Graphs of the dependence of the temperature of the porous medium from the coordinates are presented.

The obtained results show that by selecting the frequency and amplitude of the acoustic field, it is possible to achieve a pronounced effect on the clogged areas of the bottomhole formation zone in order to heat this zone and, thereby, melting and cleaning from paraffin deposits.