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A note an axisymmetric supercritical coning in a  porous medium
Journal article   Open access   Peer reviewed

A note an axisymmetric supercritical coning in a porous medium

G.C. Hocking and H. Zhang
ANZIAM Journal, Vol.55(4), pp.327-335
2014
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Abstract

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 Supercritical withdrawal in which both layers are being withdrawn is investigated using a spectral method.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

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Domestic collaboration
Citation topics
8 Earth Sciences
8.205 Ocean Dynamics
8.205.2114 Hydraulic Flows
Web Of Science research areas
Mathematics, Applied
ESI research areas
Mathematics
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