Logo image
Back
Axisymmetric flow in an oil reservoir of finite depth caused by a point sink above an oil-water interface
Journal article   Peer reviewed

Axisymmetric flow in an oil reservoir of finite depth caused by a point sink above an oil-water interface

H. Zhang and G.C. Hocking
Journal of Engineering Mathematics, Vol.32(4), pp.365-376
1997
DOI: https://doi.org/10.1023/A:1004227232732
url
Link to Published Version *Subscription may be requiredView

Abstract

The flow of a stratified fluid (e.g., oil/water) withdrawn from a vertically confined porous medium through a point sink is considered. The withdrawal tends to cause the oil-water interface to move upwards. So long as the interface is below the well, the less dense fluid (oil) is pumped into the well without the denser fluid (water) until a critical flow rate is reached. The flow is considered to be axisymmetric, and involves a nonlinear boundary condition along the free surface. A boundary-integral equation method (BIEM) is used to find the interface position for different pumping rates. For small flow rates, a small-parameter expansion is derived and the results are compared with numerical solutions to the problem. There exists a critical withdrawal rate beneath which the water does not break through into the sink, this rate depending on the sink location and bottom geometry.

Details

Metrics

43 Record Views
15 Times Cited - Web of Science

InCites Highlights

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

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
Logo image