Squeeze cementing of micro-annuli: A visco-plastic invasion flow

Squeeze cementing is a process used to repair leaking oil and gas wells, in which cement slurry driven under pressure fill an uneven leakage channel. This results Hele-Shaw type flow problem involving yield stress fluid. We solve the using augmented Lagrangian approach advect forward fluid concentrations until stops. A planar invasion radial (perforation hole) are studied. The characteristics of penetration linked channel thickness profile. distribution streamlines, flowing non-flowing zones, evolves during flow. An interesting aspect extreme variability metrics computed. These depend not only on stochastic nature microannulus thickness, has significant natural variation both azimuthal axial directions, but also “luck” where perforation hole is, relative larger/smaller gaps. may explain unreliability process.