Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer

H. Zhang; G.C. Hocking; B. Seymour

doi:10.1016/j.advwatres.2009.09.002

Back

Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer

Journal article

Open access

Peer reviewed

Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer

H. Zhang, G.C. Hocking and B. Seymour

Advances in Water Resources, Vol.32(12), pp.1703-1710

2009

DOI: https://doi.org/10.1016/j.advwatres.2009.09.002

Files and links (2)

pdf

critical_and_supercritical_withdrawal.pdfDownload View

Author’s Version Open Access

url

Link to Published Version *Subscription may be requiredView

Abstract

The steady response of the interface between two fluids of different density in a bounded aquifer is considered during extraction through a line sink. Both critical and supercritical withdrawals are investigated. An analytical solution is developed to determine the interface location and withdrawal strength for critical withdrawals when only one fluid is pulled into the sink. Supercritical flows are considered in which both fluids are drawn directly into the sink. A boundary integral method is used to calculate the interface location that depends on the supercritical withdrawal rate and the aquifer configuration. It is shown that for each withdrawal rate greater than the critical value, the entry angle of the interface decreases as the withdrawal rate increases. The minimum entry angle depends on the aquifer configuration, i.e., the ratio between the sink height and the impermeable boundary height. The steepest entry angle approaches frac(π, 2), where the interface shape approaches that given by the analytical solution for the critical rate, and the flow rate approaches the critical value. The viscosity ratio of the two fluids affects the effective withdrawal rate G. If the upper fluid is much more viscous than the lower fluid, coning is much less likely.

Details

Title: Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer
Authors/Creators: H. Zhang (Author/Creator) - Griffith University
G.C. Hocking (Author/Creator) - Murdoch University
B. Seymour (Author/Creator) - University of British Columbia
Publication Details: Advances in Water Resources, Vol.32(12), pp.1703-1710
Publisher: Elsevier BV
Identifiers: 991005540485907891
Murdoch Affiliation: School of Chemical and Mathematical Science
Language: English
Resource Type: Journal article

Metrics

294 File views/ downloads

53 Record Views

12 Times Cited - Web of Science

InCites Highlights

These are selected metrics from InCites Benchmarking & Analytics tool, related to this output

Collaboration types: Domestic collaboration; International collaboration
Citation topics: 8 Earth Sciences; 8.205 Ocean Dynamics; 8.205.2114 Hydraulic Flows
Web Of Science research areas: Water Resources
ESI research areas: Engineering