We currently are experiencing system difficulties and as a result some links are not working. We apologise for this inconvenience and are working to correct the issue.
A Note on Axisymmetric Supercritical Coning in a Porous Medium
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 Supercritical withdrawal in which both layers are being withdrawn is investigated using a spectral method.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.
Journal Title
The ANZIAM Journal
Volume
55
Issue
4
Copyright Statement
© 2014 Australian Mathematical Society. Published by Cambridge University Press. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Water Resources Engineering