JEM2004
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(817 K)
"On steady state displacements in primary cementing of an oil well"
S. Pelipenko and I.A.Frigaard. Journal of Engineering Mathematics, 2004, 48(1), pp 1-26.

Here we define the displacement model in its variational form and show the existence and uniqueness of the solution. We determine what function space this weak solution lies in and show the equivalence of concentration and interface-tracking formulations. We derive analytic expressions for steady-state interfaces for concentric annuli and perturbation solutions for annuli with small eccentricities. To conclude, we provide some illustrative results such as the stream function in moving frame of reference and variations in steady state interface shape with displacement parameters.

SPE80999
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(244 K)
"Effective and Ineffective Strategies for Mud Removal and Cement Slurry Design"
I.A. Frigaard and S. Pelipenko. SPE 80999. Presented at the SPE Latin American and Caribbean Petroleum Engineering Conference, Port-of-Spain, Trinidad, West Indies, 27-30 April 2003.

We present interface-tracking formulation of the 2-D annular displacement model and steady-state interface shape results for concentric and small eccentricity annuli.

JAM2004
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(359 K)
"Two-dimensional computational simulation of eccentric annular cementing displacements"
S. Pelipenko and I.A.Frigaard. IMA Journal of Applied Mathematics, December 2004, 64(6).

We present a numerical approach that for the first time allows us to solve the fully 2-D eccentric annular non-Newtonian fluid displacement problem. Previously used numerical solutions required additional regularisation and approximations to be made. We examine the features of the algorithm and provide some simulation results such as steady-state interface shapes.

JFM2004
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(1,967 K)
"Visco-plastic fluid displacements in near-vertical narrow eccentric annuli: prediction of travelling wave solutions and interface instability"
S. Pelipenko and I.A.Frigaard. Journal of Fluid Mechanics, Accepted for publication 2004.

Starting with interface-tracking model for 2-D annular flow, we derive a simple criterion for steady fluid displacement. This allows us to analyse parameter dependence in greater detail. We also compare our criterion with current industrial cementing rule-based systems.