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Fingero Imbibition in Artificial Replenishment of Ground Water Through Cracked Porous Medium
Author(s) -
Verma A. P.
Publication year - 1970
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr006i003p00906
Subject(s) - imbibition , porous medium , groundwater , viscosity , geotechnical engineering , porosity , nonlinear system , viscous fingering , mechanics , perturbation (astronomy) , aquifer , geology , soil science , thermodynamics , physics , botany , germination , quantum mechanics , biology
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.