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Analytical solution of a velocity dependent dispersion problem
Author(s) -
Tang D. H.,
Babu D. K.
Publication year - 1979
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/wr015i006p01471
Subject(s) - dispersion (optics) , mechanics , flow (mathematics) , mathematics , finite difference , exact solutions in general relativity , flow velocity , mathematical analysis , physics , optics
A complete description of the convective‐dispersive transport of a contaminant from an injection well requires consideration of a velocity dependent dispersion coefficient. An analytical solution of this equation for steady fluid flow conditions can be obtained. The solution is significantly different from existing approximate analytical solutions. A numerical solution to this problem converges to the new analytical solution upon refinement of the finite difference net.