Abstract

The present paper analytically discusses a theoretical model of groundwater replenishment in a cracked porous medium, with simultaneous occurrence of the phenomena of fingering and imbibition under certain conditions. We assume that the injection of water bodies is initiated by imbibition, and the ‘injected’ and ‘native’ water form two immiscible liquid phases of different salinities with small viscosity difference [Bear and Martin, 1965]. If we consider only the average behavior of fingering, we solve the nonlinear differential equation by a perturbation technique. An expression for the average cross‐sectional area occupied by fingers has been obtained.

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 call

Disclaimer: 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.