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A boundary-integral method applied to water coning in oil reservoirs

Published online by Cambridge University Press:  17 February 2009

S. K. Lucas ,
J. R. Blake  and
A. Kucera
S. K. Lucas
Affiliation:
Department of Mechanical Engineering, University of Sydney, Sydney, N.S.W. 2006.
J. R. Blake
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT, U.K.
A. Kucera
Affiliation:
Department of Mathematics, Australian Defence Force Academy, Campbell, A.C.T. 2600.
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Abstract

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In oil reservoirs, the less-dense oil often lies over a layer of water. When pumping begins, the oil-water interface rises near the well, due to the suction pressures associated with the well. A boundary-integral formulation is used to predict the steady interface shape, when the oil well is approximated by a series of sources and sinks or a line sink, to simulate the actual geometry of the oil well. It is found that there is a critical pumping rate, above which the water enters the oil well. The critical interface shape is a cusp. Efforts to suppress the cone by using source/sink combinations are presented.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 3 , January 1991 , pp. 261 - 283
Copyright
Copyright © Australian Mathematical Society 1991

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