TY - JOUR
ID - 64321
TI - Two-dimensional advection-dispersion equation with depth- dependent variable source concentration
JO - Pollution
JA - POLL
LA - en
SN - 2383-451X
AU - Chatterjee, Ayan
AU - Singh, Mritunjay
AD - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India
Y1 - 2018
PY - 2018
VL - 4
IS - 1
SP - 1
EP - 8
KW - solute transport
KW - Aquifer
KW - Line source
KW - Numerical solution
DO - 10.22059/poll.2017.230145.265
N2 - 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.
UR - https://jpoll.ut.ac.ir/article_64321.html
L1 - https://jpoll.ut.ac.ir/article_64321_25107ed9fb13e8149bc1f120f00ba09c.pdf
ER -