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A note an axisymmetric supercritical coning in a porous medium

Hocking, G.C.ORCID: 0000-0002-5812-6015 and Zhang, H. (2014) A note an axisymmetric supercritical coning in a porous medium. ANZIAM Journal, 55 (4). pp. 327-335.

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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 Supercritical withdrawal in which both layers are being withdrawn is investigated using a spectral method.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.

Item Type: Journal Article
Murdoch Affiliation(s): School of Engineering and Information Technology
Publisher: Cambridge University Press
Copyright: © 2014 Australian Mathematical Society
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