Groundwater Contaminant Transport FDM Modelling for Non-Linear Freundlich and Langmuir Sorption with an Instantaneous Spill

Groundwater management is very necessary due to scarcity of surface water sources and has heavy stress on its utilization for different purposes. Contamination of water either on surface or in ground is crucial problem. Now days various models are developed to assess groundwater quality. When the contaminant is subject to chemical constituent that follows a non-linear sorption isotherm, the resulting differential equation is non-linear. Analytical solution of non-linear differential equation is difficult. In present paper, main focuses have been made on sorption of contaminant species in groundwater. Finite difference models were developed to assess the groundwater quality for different sorption isotherms namely, Freundlich and Langmuir with linear and non linear conditions. Results of numerical model were compared with available analytical model. It is found that all results are comparable and matches approximately. A combined study for plumes behavior for sorption and no sorption situations has carried out for spatial and temporal variation. Such kind of study would be useful for finding contaminant species interactions with groundwater when it subject to sorption for wide range of field conditions with regard to dispersion and source definition.