Study of 2D contaminant transport with depth varying input source in a groundwater reservoir

Abstract This study deals with a two-dimensional (2D) contaminant transport problem subject to depth varying input source in finite homogeneous groundwater reservoir. A at the upstream boundary is assumed as location of disposal site pollutant from where enters soil medium and ultimately At extreme flow site, concentration gradient be zero. Contaminant dispersion considered along horizontal vertical directions flow. The governing equation advection–dispersion (ADE) associated linear sorption first-order biological degradation. ADE solved analytically by adopting Laplace transform method. Crank–Nicolson scheme also adopted for numerical simulation modelled problem. In graphical comparison analytical solutions, solution follows very closely solution. Also, Root Mean Square (RMS) error CPU run time are obtained account performance