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On nonclassical analytical solutions for advective transport problems
Author(s) -
Selvadurai A. P. S.
Publication year - 2008
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 - 10.1029/2007wr006312
Subject(s) - advection , porous medium , mechanics , boundary value problem , attenuation , flow (mathematics) , fluid dynamics , benchmarking , environmental science , physics , mathematics , geotechnical engineering , porosity , geology , thermodynamics , mathematical analysis , marketing , optics , business
The paper presents certain nonclassical analytical solutions for describing the one‐dimensional advective transport of a chemical or a contaminant in a fluid‐saturated porous medium. The advective transport is induced by potential flow. The nonclassical nature stems from the influences of time‐dependent boundary concentrations, time‐dependent flow velocities, and the presence of natural attenuation. These analytical results are novel and provide a useful set of solutions for benchmarking computational schemes that have been developed in the literature for solving transport of chemicals and contaminants in fluid‐saturated porous media.