Fluid drainage from the edge of a porous reservoir

Zheng, Zhong and Soh, Beatrice and Huppert, Herbert E. and Stone, Howard A. (2013) Fluid drainage from the edge of a porous reservoir. Journal of Fluid Mechanics, 718. pp. 558-568. ISSN 0022-1120, ESSN: 1469-7645 DOI 10.1017/jfm.2012.630

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Official URL: http://dx.doi.org/10.1017/jfm.2012.630

Abstract

We report theoretical and experimental studies to describe buoyancy-driven fluid drainage from a porous medium for configurations where the fluid drains from an edge. We first study homogeneous porous systems. To investigate the influence of heterogeneities, we consider the case where the permeability varies transverse to the flow direction, exemplified by a V-shaped Hele-Shaw cell. Finally, we analyse a model where both the permeability and the porosity vary transverse to the flow direction. In each case, a self-similar solution for the shape of these gravity currents is found and a power-law behaviour in time is derived for the mass remaining in the system. Laboratory experiments are conducted in homogeneous and V-shaped Hele-Shaw cells, and the measured profile shapes and the mass remaining in the cells agree well with our model predictions. Our study provides new insights into drainage processes such as may occur in a variety of natural and industrial activities, including the geological storage of carbon dioxide.

Item Type: Article
Additional Information: ©2013 Cambridge University Press
Uncontrolled Keywords: 2013AREP; IA65; weekly
Subjects: 99 - Other
Divisions: 99 - Other
Journal or Publication Title: Journal of Fluid Mechanics
Volume: 718
Page Range: pp. 558-568
Identification Number: 10.1017/jfm.2012.630
Depositing User: Sarah Humbert
Date Deposited: 09 Mar 2013 11:54
Last Modified: 23 Jul 2013 10:05
URI: http://eprints.esc.cam.ac.uk/id/eprint/2693

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