Mathematical model of acoustic stimulation of wells to increase rock permeability
Annotatsiya
Abstract The article presents a mathematical model of acoustic stimulation of wells to increase the permeability of productive formations in conditions of uranium deposits exploited by the underground leaching method. The model is based on solving the equations of elastic wave propagation in a saturated porous-fractured medium taking into account the elastic, filtration and viscoelastic characteristics of the ore-bearing rocks. Analytical dependences of the radius of the effective impact of the acoustic field on the frequency-energy parameters of the source (frequency, amplitude, pressure in the well) and the filtration-capacitive properties of the formation are obtained. A parametric analysis of the influence of the acoustic impact spectrum on the dynamics of microcrack opening, destruction of colloidal deposits and mobilization of capillary-bound fluid is carried out. The modeling is consistent with the data of laboratory and pilot studies at operating uranium facilities, which confirms the adequacy of the model. The obtained results allow us to reasonably select optimal acoustic impact modes to intensify filtration with minimal energy costs.