Analysis of 1-D pollutant transport in semi-infinite groundwater reservoir

Abstract

This study deals with the 1-D pollutant transport model in homogeneous and heterogeneous semi-infinite groundwater reservoir. The pollutant concentration is considered in liquid as well as in solid phases. The Laplace transform technique is adopted to solve the 1-D ADE and that has been contributing significantly in the field of pollutant transport modelling. Dirichlet-type and Neumann-type boundary conditions are considered in the modelled domain which is not solute free initially. Analytical solutions are investigated for different geological formations such as sandstone, shale and gravel to set the physical insight of the problem. Hydrodynamic dispersion theory is employed in this model. An impact of pollutant existing in liquid and solid phases is shown in the modelled domain and accordingly pollutant concentrations are graphically depicted. The objective of this study is to provide a development of solution for the contaminated groundwater transport with major focus on solute dynamics with reactive species in the different geological reservoir. In addition, it is also important to observe the diffusion effects on the solute transport for both sites. The Crank–Nicolson approach was applied for numerical simulation of governing transport equation. The corroboration of transport parameter demonstrates the good applicability of the proposed mathematical model in more realistic problems. This study may be useful as one of the preliminary predictive tools to groundwater resource and remediation project planning.