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Linear stability analysis of immiscible displacement including continuously changing mobility and capillary effects: Part II - general basic flow profiles

Conference · · Soc. Pet. Eng. AIME, Pap.; (United States)
OSTI ID:6172386

This paper reports on the continuation of previous work in the linear stability of immiscible, two-phase flow displacement processes in porous media that includes continuously changing mobility and capillary effects. In Part I simple basic-flow profiles that allow exact solutions to be obtained were investigated. First, the stability of non-capillary flows corresponding to a straight line fractional flow is examined. Next, the stability of capillary flows for general basic flow profiles is examined. For values of the viscosity ratio above the critical, the numerical results show that the displacement is unstable to small disturbances of wavelength larger than a critical value, and stable otherwise. This effect is attributed to the stabilizing action of capillarity. Values of wavelength corresponding to the highest rate of growth are numerically determined. It is found that stability is enhanced at lower values of the capillary number and the injection rate. Finally, a limited sensitivity study of the effect on stability of the functional forms of relative permeability and capillary pressure is carried out.

Research Organization:
Univ. of Southern California
OSTI ID:
6172386
Report Number(s):
CONF-8409104-
Journal Information:
Soc. Pet. Eng. AIME, Pap.; (United States), Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Vol. SPE13163; ISSN SEAPA
Country of Publication:
United States
Language:
English