@article {
author = {Chatterjee, Ayan and Singh, Mritunjay},
title = {Two-dimensional advection-dispersion equation with depth- dependent variable source concentration},
journal = {Pollution},
volume = {4},
number = {1},
pages = {1-8},
year = {2018},
publisher = {University of Tehran},
issn = {2383-451X},
eissn = {2383-4501},
doi = {10.22059/poll.2017.230145.265},
abstract = {The present work solves two-dimensional Advection-Dispersion Equation (ADE) in a semi-infinite domain. A variable source concentration is regarded as the monotonic decreasing function at the source boundary (x=0). Depth-dependent variables are considered to incorporate real life situations in this modeling study, with zero flux condition assumed to occur at the exit boundary of the domain, i.e. its semi-infinite part. Without losing any generality, one can consider that the aquifer is initially contamination-free. Thus, the current study explores variations of two-dimensional contaminant concentration with depth throughout the domain, showing them graphically. Non-point source problem, i.e. the line source problem, can be discussed by solving two-dimensional depth-dependent variable source problem, as x=0 is a 2D line. A new transformation has been used to transform the time-dependent ADE to one with constant coefficients, with Matlab (pdetool) being employed in order to solve the problem, numerically, using finite element method.},
keywords = {solute transport,Aquifer,Line source,Numerical solution},
url = {https://jpoll.ut.ac.ir/article_64321.html},
eprint = {https://jpoll.ut.ac.ir/article_64321_25107ed9fb13e8149bc1f120f00ba09c.pdf}
}