TY - JOUR
ID - 88332
TI - Analytical Solutions for Solute Transport from two-point Sources along Porous Media Flow with Spatial Dispersity involving Flexible Boundary Inputs, initial Distributions and Zero-order Productions
JO - Pollution
JA - POLL
LA - en
SN - 2383-451X
AU - Tjock-Mbaga, Thomas
AU - Ele Abiama, Patrice
AU - Ema'a Ema'a, Jean Marie
AU - Ben-Bolie, Germain Hubert
AD - Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Cameroon
AD - Higher Teacher Training College, Department of physics, University of Bertoua, P.O. Box 652, Cameroun
Y1 - 2022
PY - 2022
VL - 8
IS - 4
SP - 1398
EP - 1417
KW - Advection, Dispersion
KW - Groundwater
KW - analytical solution
KW - Two sources
DO - 10.22059/poll.2022.339642.1398
N2 - This study derives an analytical solution of a one-dimensional (1-D) Advection-Dispersion Equation (ADE) for solute transport with two contaminant sources incorporating the source term. Groundwater velocity is considered as a linear function of space while the dispersion as a nth power of velocity and analytical solutions are obtained for , and . The solution is derived using the Generalized Integral Transform Technique (GITT) with a new regular Sturm-Liouville Problem (SLP). Analytical solutions are compared with numerical solutions obtained in MATLAB pedpe solver and are found to be in good agreement. The obtained solutions are illustrated for linear combination of exponential input distribution and its particular cases. The dispersion coefficient and temporal variation of the source term on the solute distribution are demonstrated graphically for the set of input data based on similar data available in the literature. As an illustration, model predictions are used to estimate the time histories of the radiological doses of uranium at diļ¬erent distances from the sources boundary in order to understand the potential radiological impact on the general public for such problem.
UR - https://jpoll.ut.ac.ir/article_88332.html
L1 - https://jpoll.ut.ac.ir/article_88332_3d08b4a73c150ce9a03b2f885ff2dc61.pdf
ER -