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Analytical Solution of Advective Mixing in a Conduit
Author(s) -
Li Guangquan
Publication year - 2009
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.2009.00575.x
Subject(s) - electrical conduit , aquifer , dispersion (optics) , advection , geology , matrix (chemical analysis) , mixing (physics) , mechanics , geotechnical engineering , inflow , karst , hydrology (agriculture) , groundwater , environmental science , materials science , thermodynamics , engineering , physics , mechanical engineering , paleontology , oceanography , optics , quantum mechanics , composite material
The permeable conduit wall in a karst aquifer allows for water and solute to be exchanged between conduits and the limestone matrix. Contaminant sequestered in the limestone matrix is flushed into conduits following flood events. The contaminant released from the permeable wall will then mix with conduit water and will be transported downgradient in the conduit. A one‐dimensional advection‐dispersion equation is presented to describe this mixing‐transport incorporating water flow and solute flux through the conduit wall. An analytical solution ignoring conduit dispersion is derived using the method of characteristics. Scale analysis is performed to provide a general guideline to estimate when conduit dispersion can be neglected. The solution also can be used to compute the distribution of solute in the matrix before flushing.