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A NOTE ON AXISYMMETRIC SUPERCRITICAL CONING IN A POROUS MEDIUM

Published online by Cambridge University Press:  07 August 2014

G. C. HOCKING  and
H. ZHANG
G. C. HOCKING*
Affiliation:
Mathematics & Statistics, Murdoch University, Perth, Australia email [email protected]
H. ZHANG
Affiliation:
Griffith School of Engineering, Griffith University, Gold Coast Campus, QLD 4222, Australia email [email protected]
*
✉[email protected]
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Abstract

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The steady response of a fluid with two layers of different density in a porous medium is considered during extraction through a point sink. Supercritical withdrawal in which both layers are being withdrawn is investigated using a spectral method. We show that for each withdrawal rate, there is a single entry angle of the interface into the point sink. As the flow rate decreases the angle of entry steepens until it becomes almost vertical, at which point the method fails. This limit is shown to correspond to the upper bound on sub-critical (single-layer) flow.

Keywords

porous mediapoint sinkaxisymmetric flowconing
Type
Research Article
Information
The ANZIAM Journal , Volume 55 , Issue 4 , April 2014 , pp. 327 - 335
Copyright
Copyright © 2014 Australian Mathematical Society 

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