Axisymmetric flow in an oil reservoir of finite depth caused by a point sink above an oil-water interface
type: Item
instance of: scholarly article
title: Axisymmetric flow in an oil reservoir of finite depth caused by a point sink above an oil-water interface
zbMATH Open document ID: 0910.76087
DOI: 10.1023/A:1004227232732
author: H. Zhang
author: G. C. Hocking
published in: Journal of Engineering Mathematics
publication date: 1998-07-28T00:00:00Z
review text: The authors investigate the shape of an oil-water interface caused by flow into a point sink in an oil reservoir confined above by an impermeable rock strata and below by a water zone and a rock strata. The corresponding axisymmetric flow problem governed by Laplace's equation is solved numerically by the boundary integral equation method. It is observed that there is a critical flow rate at which the interface has a vertical cusp shape. For small flow rates, the authors derive a small parameter expansion and compare the results with numerical solutions.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 86A20
zbMATH DE Number: 1180382
zbMATH Keywords: impermeable rock strata
zbMATH Keywords: water zone
zbMATH Keywords: Laplace's equation
zbMATH Keywords: boundary integral equation method
zbMATH Keywords: critical flow rate
zbMATH Keywords: small parameter expansion
reviewed by: Y. N. Gaur
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1180382