Abstract

The paper considers the effect of heating an oil-saturated reservoir during the propagation of high-frequency acoustic waves in it, due to their absorption by a saturated porous medium. It is assumed that in this case, volumetric heat sources are created in the reservoir. The density of distribution of heat sources in a porous medium at various capacities and frequencies of acoustic waves is shown. The paper presents a mathematical model for calculating the temperature field in a porous saturated medium under acoustic influence with an emitter located opposite the treated reservoir. It is assumed that the radius of the acoustic radiator is equal to the radius of the well, and the length of the radiator is equal to the power of the treated reservoir. In addition, the effect of increasing the effective thermal conductivity of the formation is taken into account when calculating the distribution of the temperature field. It is believed that the well works without stopping with a certain oil flow rate, depending on the viscosity of the oil. The problem is solved by the numerical method of finite differences according to an implicit scheme in a cylindrical coordinate system. In this paper, the author presents the results of studies of thermal effects occurring in the formation, namely, an increase in the effective thermal conductivity of the formation and the occurrence of heat sources during the propagation of acoustic waves in the formation. Thus, the article presents the results of computational studies that take into account only thermal effects during the treatment of the formation by the wave (acoustic) method. The treatment of the reservoir by wave methods (acoustic, sound, water hammer, elastic, and so on) is one of the promising methods for both increasing oil recovery and intensifying oil production, therefore, the theoretical study of the processes arising from the interaction of waves with a saturated porous medium is significant.

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