Ia. Frigaard et Jp. Crawshaw, Preventing buoyancy-driven flows of two Bingham fluids in a closed pipe - Fluid rheology design for oilfield plug cementing, J ENG MATH, 36(4), 1999, pp. 327-348
The mechanically unstable situation of a heavy Bingham fluid resting on top
of a light Bingham fluid in an inclined closed-ended pipe can be stabilise
d if the fluids have sufficiently large yield stresses. This paper focuses
on determining the yield stresses that are sufficient to keep the fluids st
atically stable for a given fluid density difference, pipe diameter and pip
e inclination. The results are applicable to a broad class of practically o
bservable flows. This situation provides an idealised model for the oilfiel
d process of plug cementing.