Abstract: This study develops a mathematical model for two-dimensional solute transport in a semi-infinite heterogeneous porous medium. The geological formation is initially not solute free. The nature of pollutants is considered conservative and gives out from space and time-dependent pulse type point source. Dispersion coefficient is considered as linear multiple of spatially dependent function and seepage velocity where as seepage velocity is nth power of spatially dependent function. Exponentially decreasing and sinusoidal form of seepage velocity are considered. The effects of retardation factor, spatial and temporal dependence on the concentration distribution are taken into account. New independent variables are introduced to covert advection dispersion equation into constant coefficient. Solutions of the proposed model are obtained using Laplace Transform Technique. Effects of parameters and value on the concentration behaviour are shown graphically.
Keywords: Advection, Diffusion, Retardation Factor, Heterogeneous medium, Groundwater, Pollutant.
How to cite this article:
R. R. Yadav and Lav Kush Kumar, Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution, International Journal of Advances in Mathematics, Volume 2018, Number 2, Pages 90-111, 2018.