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Title: A statistical structural model for unsteady-state displacement in Porous Media

Conference · · Soc. Pet. Eng. AIME, Pap.; (United States)
OSTI ID:6073754

A statistical structural model was used in the context of local volume averaging to examine the effects of interfacial tension, the interfacial viscosities, and wetting upon the capillary pressure and relative permeability functions in an unsteadystate displacement. The statistical structural model is a highly simplified idealization of the local pore structure, in which pores are randomly oriented in space, but no pore interconnections are recognized. Whether we are concerned with an imbibition or a drainage, it is not important to distinguish between steady-state and unsteady-state relative permeabilities when the local capillary number N/SUB ca/ << 1. Unless the interfacial tension is very small everywhere or the overall pressure gradient very large, it may be satisfactory to use steady-state representations for the relative permeabilities everywhere except in the immediate neighborhood of a displacement front. The local capillary number N/SUB ca/ will always be largest in the immediate neighborhood of the displacement front. Within the immediate neighborhood of a displacement front, simulations, especially of imbibitions, should employ unsteady-state relative permeabilities.

Research Organization:
Northwestern Univ.
OSTI ID:
6073754
Report Number(s):
CONF-8409104-
Journal Information:
Soc. Pet. Eng. AIME, Pap.; (United States), Vol. SPE13265; Conference: 59. annual Society of Petroleum Engineers of AIME technical conference, Houston, TX, USA, 16 Sep 1984
Country of Publication:
United States
Language:
English