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One‐dimensional advective–dispersive transport into a deep layer having a variable surface concentration
Author(s) -
Booker J. R.,
Rowe R. K.
Publication year - 1987
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610110203
Subject(s) - advection , dispersion (optics) , mass transport , variable (mathematics) , mass transportation , surface layer , mass transfer , surface (topology) , layer (electronics) , geotechnical engineering , environmental science , mechanics , mathematics , geology , materials science , mathematical analysis , engineering , thermodynamics , physics , waste management , geometry , public transport , engineering physics , optics , composite material
Abstract Two analytic closed form solutions for the one‐dimensional advection–dispersion equation are presented. These solutions take account of changes in surface concentration with time as mass is transported into the soil. The first solution is developed for the case of rapid landfill construction. The second solution considers a time‐dependent mass input to the landfill. The use of these solutions is illustrated by a number of examples and it is shown that consideration of the finite mass of contaminant within the landfill can significantly affect the concentration profiles beneath the landfill.