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Dynamic capillary pressure in porous media : origin of the viscous-fingering length scale
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Weitz, D. A. , Stokes, J., Ball, Robin and Kushnick, A.. (1987) Dynamic capillary pressure in porous media : origin of the viscous-fingering length scale. Physical Review Letters, Vol.59 (No.26). pp. 2967-2970. ISSN 0031-9007
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.59.2967
Abstract
We measure the velocity dependence of the capillary pressure, ΔPc(v), between two fluids in a porous medium. At zero velocity, the interface is pinned, and a critical ΔPc must be achieved before the interface moves. For nonzero velocities, there is an additional dynamic component to ΔPc, which scales as v1/2 when a wetting fluid displaces a nonwetting fluid. We suggest that this dynamic component of ΔPc can stabilize viscous fingers, and obtain excellent agreement with experiment.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Viscosity, Viscous flow, Porous materials, Capillaries -- Permeability | ||||
| Journal or Publication Title: | Physical Review Letters | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 0031-9007 | ||||
| Official Date: | 1987 | ||||
| Dates: |
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| Volume: | Vol.59 | ||||
| Number: | No.26 | ||||
| Page Range: | pp. 2967-2970 | ||||
| Identification Number: | 10.1103/PhysRevLett.59.2967 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| URI: | http://wrap.warwick.ac.uk/id/eprint/39431 |
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