The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503–3544] is the object of our study. This system consists of the Burgers equation with a singular source term (term that models the interaction via a drag force with a moving point particle) and of an ODE for the particle path. The notion of entropy solution for the singula...

Matrix acidizing is a good stimulation process in which acid introduced into the reservoir near wellbore area via or coil tubing. In oil industry, formation damage prevalent problem. Bypassing by producing wormholes carbonate reservoirs main purpose of matrix formation. When doing lab tests, scientists are looking for wormhole-inducing injection rate that can be used field. Meantime ongoing wor...

Using kinetic Monte Carlo simulation, we model gas-liquid spinodal decomposition in a size-polydisperse square well fluid, representing a "near-monodisperse" colloidal dispersion. We find that fractionation (demixing) of particle sizes between the phases begins asserting itself shortly after the onset of phase ordering. Strikingly, the direction of size fractionation can be reversed by a seemin...

Unsteady oscillatory flow of generalized Burgers’ fluid in a circular channel tube in the porous medium is investigated under the influence of time-dependent trapezoidal pressure gradient given by an infinite Fourier series. An exact analytical expression for the solution for the fluid velocity and the shear stress are recovered by using the similarity arguments together with the integral trans...

in this paper, nonlinear vibration and instability response of an embedded pipe conveying viscose fluid is investigated. the pipe is considered as a timoshenko beam embedded on an elastic foundation which is simulated by spring constant of the winkler-model and the shear constant of the pasternak-model. the external flow force, acting on the beam in the direction of the flexural displacement is...

Through-tubing abandonment is the operation where production tubing cut or punched and cemented inside casing. This can establish a full cross-sectional barrier isolation in wells cement behind casing provides zonal isolation. Furthermore, form of through-tubing plug be placed from light-well intervention vessel, which reduces risk carbon footprint compared to conventional designs that rely on ...