Mud removal and cement placement during primary cementing of an oil well – Laminar nonNewtonian displacements in an eccentric annular HeleShaw cell
 S.H. Bittleston,
 J. Ferguson,
 I.A. Frigaard
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A twodimensional model is derived of the displacement flows that occur during primary cementing of oil and gas wells. The displacement geometry is a long narrow eccentric annulus, between the casing and the rock formation. The model consists of a series of firstorder convection equations for the fluid concentrations and a quasilinear Poissontype equation for the stream function. Coupling is through the velocity field and the concentrationdependent fluid properties.
A range of computed results from this model is presented. One simulation illustrates how a channel of mud can be left behind on the narrow side of the annulus. Another shows that stable steadystate displacements can occur, although conditions under which this occurs are not yet understood. A third simulation captures some of the complexity that occurs in realistic cementing operations.
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 Title
 Mud removal and cement placement during primary cementing of an oil well – Laminar nonNewtonian displacements in an eccentric annular HeleShaw cell
 Journal

Journal of Engineering Mathematics
Volume 43, Issue 24 , pp 229253
 Cover Date
 20020801
 DOI
 10.1023/A:1020370417367
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 displacement flows
 HeleShaw cell
 nonNewtonian fluids
 viscoplastic fluid flow
 Industry Sectors
 Authors

 S.H. Bittleston ^{(1)}
 J. Ferguson ^{(1)}
 I.A. Frigaard ^{(2)}
 Author Affiliations

 1. Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge, CB3 0EL, England
 2. Department of Mathematics and Department of Mechanical Engineering, University of British Columbia, 2324 Main Mall, Vancouver, BC, V6T 1Z4, Canada