A mathematical model of horizontal averaged groundwater pollution measurement with several substances due to chemical reaction

Abstract

Chloride is a well-known chemical compound that is very useful in industry and agricultural. Chloride can be transformed to hypochlorite, chlorite, chlorate and perchlorate, chloride and their substances are not dangerous if they are used in the optimal level. Groundwater containing contamination chloride and their substances impacts human health, for ex-ample, drinking water contaminated chloride exceed 250 mg/L can cause heart problems and lead to high blood pressure. To avoid this problem, we used mathematical models to explain groundwater contamination with chloride and their substances. Transient groundwater flow model provides the hydraulic head of groundwater. In this model we will get the level of ground-water, next, we need to find its velocity and direction by using the result in first model put into second model. Groundwater velocity model provides x-and z-direction vector in ground-water, after computation we will plugin the result into the last model to approximate the chloride concentration in ground-water. Groundwater contamination dispersion model provides chloride, hypochlorite, chlorite, chlorate and perchlorate con-centration. The proposed explicit finite difference techniques are used to approximate the model solution. Explicit method was used to solved hydraulic head model. Forward space de-scribed groundwater velocity model. Forward time and central space used to predict transient groundwater contaminated mod-els. The simulations can be used to indicate when each simu-lated zone becomes a hazardous zone or a protection zone.