Abstract
This paper analytically discusses the phenomenon of instabilities (fingering) which arise frequently in displacement processes through porous media. The underlying assumptions of the investigation are that the two flowing phases are immiscible liquids with a large viscosity difference, the porous medium is homogeneous, and the instabilities are described by their statistical behavior. A mathematical solution of the nonlinear differential system governing fingering has been obtained by using the group-transformation technique of similarity analysis. Finally, an analytical expression for the average cross sectional area occupied by fingers has been derived, and the possibility of finger stabilization is shown under certain specific conditions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
