Preventing buoyancy-driven flows of two Bingham fluids in a closed pipe – Fluid rheology design for oilfield plug cementing

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 stabilised if the fluids have sufficiently large yield stresses. This paper focuses on determining the yield stresses that are sufficient to keep the fluids statically stable for a given fluid density difference, pipe diameter and pipe inclination. The results are applicable to a broad class of practically observable flows. This situation provides an idealised model for the oilfield process of plug cementing.

[1]  R. C. Smith,et al.  Improved method of setting successful whipstock cement plugs , 1983 .

[2]  James E. Griffith,et al.  Plug cementing : Horizontal to vertical conditions , 1995 .

[3]  Robert M. Beirute Flow Behavior Of An Unset Cement Plug In Place , 1978 .

[4]  Arild Saasen,et al.  Optimization of Balanced-Plug Cementing , 1997 .

[5]  R. Glowinski,et al.  Numerical Analysis of Variational Inequalities , 1981 .

[6]  V. Constantinescu Laminar viscous flow , 1995 .

[7]  R. Byron Bird,et al.  The Rheology and Flow of Viscoplastic Materials , 1983 .

[8]  Ian A. Frigaard,et al.  Uniaxial exchange flows of two Bingham fluids in a cylindrical duct , 1998 .

[9]  S. H. Bittleston,et al.  The axial flow of a Bingham plastic in a narrow eccentric annulus , 1991, Journal of Fluid Mechanics.

[10]  D. L. Bour,et al.  Development of Effective Methods for Placing Competent Cement Plugs , 1986 .

[11]  John Tsamopoulos,et al.  Creeping motion of a sphere through a Bingham plastic , 1985, Journal of Fluid Mechanics.

[12]  The Effects of Yield Stress Variation on Uniaxial Exchange Flows of Two Bingham Fluids in a Pipe , 2000, SIAM J. Appl. Math..

[13]  Ian A. Frigaard,et al.  Stratified exchange flows of two Bingham fluids in an inclined slot , 1998 .

[14]  R. Glowinski,et al.  Numerical Methods for Nonlinear Variational Problems , 1985 .

[15]  W. Prager On Slow Visco-Plastic Flow1 , 1952 .

[16]  P. P. Mosolov,et al.  Variational methods in the theory of the fluidity of a viscous-plastic medium , 1965 .