Influence of relaxation on filtering microflows under harmonic action on the layer

Abstract

The research deals with the studies of the velocity fields of non-equilibrium fluid filtration in a layer under harmonic action on it and assessment of the influence of relaxation effects on the attenuation of the amplitude of the initial disturbance. A mathematical model of non-equilibrium plane-radial filtration with a generalized dynamic Darcy law in the form of a boundary value problem in a half-space with a harmonic excitation law at its boundary is considered. Based on the exact and asymptotic solutions of the boundary value problem, the attenuation of the amplitude of the initial disturbance from the model's parameters and their influence on the size of the disturbed area is investigated. Profiles of the dependencies of the size of the influence zone on the model parameters were plotted and the choice of parameters for optimal influence on the near-wellbore zone is analyzed.