Effect of mass transfer on the stability of miscible displacement fronts in porous media

Journal Article · Mon Aug 01 04:00:00 EDT 1966 · Ind. Eng. Chem., Fundam.; (United States)

DOI:https://doi.org/10.1021/i160019a022· OSTI ID:6486394

Cooney, D O

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), Journal Name: Ind. Eng. Chem., Fundam.; (United States) Vol. 5:3; ISSN IECFA
• Country of Publication: United States
• Language: English

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