Phase Diagram of Fully Developed Drainage in Porous Media

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.4581· OSTI ID:550583

Yortsos, Y C; Xu, B ^[1]; Salin, D ^[2]

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1. Petroleum Engineering Program, Department of Chemical Engineering, University of Southern California, Los Angeles, California 90089-1211 (United States)
2. Laboratoire Fluides, Automatique et Systemes Thermiques, Universite Paris VI and XI, associated with C.N.R.S. (URA 871), Batiment 502, Campus Universitaire, 91405 Orsay Cedex (France)

Using concepts of invasion percolation in a gradient, we develop a phase diagram of fully developed drainage in porous media. The transition between stabilized displacement (where the conventional continuum applies) and fingering is controlled by the change of the sign of the gradient of the percolation probability (from stabilizing to destabilizing). The transition boundary is described by scaling laws. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 550583
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DRAINAGE
PHASE DIAGRAMS
POROUS MATERIALS
PROBABILITY
SCALING LAWS
STABILIZATION