Effect of mass transfer on the stability of miscible displacement fronts in porous media
The system under consideration is illustrated as a miscible displacement assumed to be occurring in a porous medium of infinite extent in 2 dimensions. The governing equations are listed. The perturbation method applied to these equations is relatively well known and is, therefore, not described in detail. In such an analysis some arbitrary stable initial state of a displacement front is considered, a perturbation is introduced into this state, and then information is derived regarding whether this perturbation tends to grow or damp out with time. To perform this analysis, the equations are written in dimensionless form. These equations describe miscible displacement processes in porous media under conditions where mass transfer is occurring. Thus, a criterion for hydrodynamic stability is derived for both Cartesian and cylindrical coordinates. The criterion shows that mass transfer tends to stabilize miscible displacement fronts. The application is shown in a simple displacement process. (10 refs.)
- Research Organization:
- Wisconsin Univ
- OSTI ID:
- 6486394
- Journal Information:
- Ind. Eng. Chem., Fundam.; (United States), Vol. 5:3
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
MISCIBLE-PHASE DISPLACEMENT
STABILITY
OIL WELLS
EQUATIONS
FLUID FLOW
GEOLOGY
HYDRODYNAMICS
MASS TRANSFER
MATHEMATICS
PETROLEUM
POROUS MATERIALS
RESERVOIR ENGINEERING
UNSTEADY FLOW
ENERGY SOURCES
ENGINEERING
FLUID INJECTION
FLUID MECHANICS
FOSSIL FUELS
FUELS
MATERIALS
MECHANICS
WELLS
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