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Perturbation Solutions of the Dispersion Equation in Porous Mediums
Author(s) -
Dagan Gedeon
Publication year - 1971
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/wr007i001p00135
Subject(s) - dispersion (optics) , porous medium , perturbation (astronomy) , mechanics , boundary value problem , porosity , dispersion relation , boundary layer , mathematical analysis , aquifer , physics , materials science , mathematics , classical mechanics , geology , geotechnical engineering , optics , groundwater , quantum mechanics
The solution of the dispersion equation in porous mediums is difficult because of the dependence of the dispersion tensor on the velocity. Approximate solutions of dispersion in nonuniform two‐dimensional flows are sought by perturbation expansions. An inner boundary layer solution for the transition zone between two fluids in steady and unsteady conditions is derived. Two examples of dispersion, radial flow and coastal aquifers, are solved approximately.