scholarly journals Obstructed viscoplastic flow in a Hele-Shaw cell

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Masoud Daneshi ◽  
Jordan MacKenzie ◽  
Neil J. Balmforth ◽  
D. Mark Martinez ◽  
Duncan R. Hewitt
2016 ◽  
Vol 790 ◽  
pp. 173-204 ◽  
Author(s):  
D. R. Hewitt ◽  
M. Daneshi ◽  
N. J. Balmforth ◽  
D. M. Martinez

A theoretical study is presented of the flow of viscoplastic fluid through a Hele-Shaw cell that contains various kinds of obstructions. Circular and elliptical blockages of the cell are considered together with stepwise contractions or expansions in slot width, all within the simplifying approximation of a narrow gap. Specific attention is paid to the flow patterns that develop around the obstacles, particularly any stagnant plugged regions, and the asymptotic limits of relatively small or large yield stress. Periodic arrays of circular contractions or expansions are studied to explore the interference between obstructions. Finally, viscoplastic flow through a cell with randomly roughened walls is examined, and it is shown that constructive interference of local contractions and expansions leads to a pronounced channelization of the flow. An optimization algorithm based on minimization of the pressure drop is derived to construct the path of the channels in the limit of relatively large yield stress or, equivalently, relatively slow flow.


2008 ◽  
Vol 44 (2) ◽  
pp. 135-142 ◽  
Author(s):  
C. Derec ◽  
P. Boltenhagen ◽  
S. Neveu ◽  
J.-C. Bacri

2021 ◽  
Vol 1809 (1) ◽  
pp. 012020
Author(s):  
Ivan E Karpunin ◽  
Nikolai V Kozlov ◽  
Viktor G Kozlov

Energies ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 51
Author(s):  
Amir Taheri ◽  
Jan David Ytrehus ◽  
Bjørnar Lund ◽  
Malin Torsæter

We present our new designed concentric Hele-Shaw cell geometry with dynamic similarity to a real field wellbore annulus during primary cementing, and then, the results of displacement flow of Newtonian and yield-stress non-Newtonian fluids in it are described. The displacement stability and efficiency, the effect of back, front, and side boundaries on displacement, bypassing pockets of displaced yield-stress fluid in displacing fluid, and the behavior of pressure gradients in the cell are investigated. Applications of intermediate buoyant particles with different sizes and densities intermediate between those of successively pumped fluids for tracking the interface between the two displaced and displacing fluids are examined. The main idea is to upgrade this concentric Hele-Shaw cell geometry later to an eccentric one and check the possibility of tracking the interface between successive fluids pumped in the cell. Successful results help us track the interface between drilling fluid and spacer/cement during primary cementing in wells penetrating a CO2 storage reservoir and decreasing the risk of CO2 leakage from them.


1999 ◽  
Vol 26 (1-2) ◽  
pp. 153-160 ◽  
Author(s):  
M.-N. Pons ◽  
E. M. Weisser ◽  
H. Vivier ◽  
D. V. Boger

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