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Engineering Physics

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HEAT TRANSFER IN THE RESERVOIR UNDER VIBRO-WAVE ACTION
A.I. FILIPPOV, O.V. AKHMETOVA

Heat and mass transfer between a homogeneous isotropic porous medium and a saturating fluid for one-dimensional monochromatic filtration pressure waves are considered. Based on the analytical solution of the problem of filtration-wave heat exchange in the "rock skeleton-saturating fluid" system, it is shown that the period-averaged value of the mass flow is zero, and the period-averaged value of the heat flow is different from zero. An expression is obtained for calculating the value of the "effective coefficient of thermal conductivity" initiated by filtration waves in the bottom-hole zone of the formation.
Based on a computational experiment, it was found that the trans-oscillatory thermal conductivity, in contrast to the molecular diffusion one, depends on the frequency of exposure. With an increase in the frequency of exposure from zero, the oscillatory thermal conductivity increases, reaches a maximum, then decreases. The dependence of the frequency at which the maximum of the oscillatory thermal conductivity is reached, as well as the maximum value on the physical properties of the reservoir and the saturating fluid and the parameters of the wave action is established. In the region of low frequencies, with the selected design parameters, a range is observed in which the trans-oscillatory thermal conductivity exceeds the molecular one. With increasing frequency, the contribution of the oscillatory component of thermal conductivity to the total thermal conductivity decreases. The maximum values of the trans-oscillatory thermal conductivity are observed near the source of the disturbance, when moving away from it, the contribution of the trans-oscillatory component of thermal conductivity to the total value decreases.
Keywords: heat transfer, wave filtration, trans-oscillatory thermal conductivity, convective heat flow.


DOI: 10.25791/infizik.6.2023.1336

Pp. 31-37.

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