Journal article
Coning during withdrawal from two fluids of different density in a porous medium
Journal of Engineering Mathematics, Vol.65(2), pp.101-109
2009
Abstract
The steady response of the interface between two fluids with different density in a porous medium is considered during extraction through a line sink. Supercritical withdrawal, or coning as it is often called, in which both fluids are being withdrawn, is investigated using a coupled integral equation formulation. It is shown that for each entry angle of the interface into the sink there is a range of supercritical solutions that depend on the flow rate, and that as the flow rate decreases the cone narrows. As the magnitude of the entry angle increases this range of flow-rate values decreases to a narrow range as the entry becomes vertical. Only one branch of solutions (that with horizontal entry) has the property that the interface levels off at a finite height, and this is investigated as a separate branch of solution.
Details
- Title
- Coning during withdrawal from two fluids of different density in a porous medium
- Authors/Creators
- G.C. Hocking (Author/Creator) - Murdoch UniversityH. Zhang (Author/Creator) - Griffith University
- Publication Details
- Journal of Engineering Mathematics, Vol.65(2), pp.101-109
- Publisher
- Springer
- Identifiers
- 991005540624007891
- Copyright
- Springer Science+Business Media B.V. 2009
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- Citation topics
- 8 Earth Sciences
- 8.205 Ocean Dynamics
- 8.205.2114 Hydraulic Flows
- Web Of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications
- ESI research areas
- Engineering