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Primary cementing of horizontal wells. Displacement flows in eccentric horizontal annuli. Part 2. Computations

Published online by Cambridge University Press:  19 March 2021

P. Sarmadi Open the ORCID record for P. Sarmadi [Opens in a new window] ,
A. Renteria  and
I.A. Frigaard Open the ORCID record for I.A. Frigaard [Opens in a new window]
P. Sarmadi
Affiliation:
Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BCV6T 1Z2, Canada
A. Renteria
Affiliation:
Department of Mechanical Engineering, University of British Columbia, 2054-6250 Applied Science Lane, Vancouver, BCV6T 1Z4, Canada
I.A. Frigaard*
Affiliation:
Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BCV6T 1Z2, Canada Department of Mechanical Engineering, University of British Columbia, 2054-6250 Applied Science Lane, Vancouver, BCV6T 1Z4, Canada
*
†Email address for correspondence: frigaard@math.ubc.ca
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Abstract

We present results of three-dimensional computational simulations of horizontal eccentric annular displacement flows as studied experimentally by Renteria & Frigaard (J. Fluid Mech., vol. 905, 2020, A7). We show the simulations are able to effectively capture detailed dispersive features of the flows, not resolved in simpler models. Top side flows, slumping flows and narrow side residual layers are predicted reliably and we are able to understand the main mechanisms that drive the flow into one of these classifications. Both experiments and simulations agree in their classification of steady and unsteady displacements. However, when the dispersion is properly resolved the concept of a steady state displacement becomes questionable. We study the axial spreading of the displacement front via one-dimensional simplifications, both advective and diffusive. While these do not fully describe the flows, they give some estimates that are useful for practical application.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A83
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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