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Transport of dissolved substances with second‐order reaction
Author(s) -
Yates S. R.,
Enfield C. G.
Publication year - 1989
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/wr025i007p01757
Subject(s) - advection , dispersion (optics) , mass transfer , nonlinear system , groundwater , mechanics , flow (mathematics) , mass transport , groundwater flow , mathematics , thermodynamics , physics , aquifer , geology , engineering , biochemical engineering , geotechnical engineering , quantum mechanics , optics
A mass transport equation which allows coupled second‐order reaction between two chemical components in groundwater systems is described. Several analytical solutions to the system of nonlinear equations for advective flow systems have been found, and the features of the solution are illustrated by example. The combined effects of hydrodynamic dispersion and second‐order reaction are investigated using a numerical technique, since analytical solutions which allow dispersion were not found. The analytical solutions can be used in the verification of numerical solution techniques especially in advection‐dominated transport regimes and can be used to give insight into how the second‐order reaction mechanism affects the transport and fate process. The solutions can also be used to determine the second‐order reaction coefficient from batch reactor or advective flow experiments.