### Journals Information

Mathematics and Statistics Vol. 8(6), pp. 645 - 655
DOI: 10.13189/ms.2020.080604
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## A Mathematical Model of Horizontal Averaged Groundwater Pollution Measurement with Several Substances due to Chemical Reaction

Jirapud Limthanakul 1, Nopparat Pochai 2,*
1 Department of Mathematics, Faculty of Science, King Mongkutâ€™s Institute of Technology Ladkrabang, Bangkok 10520, Thailand
2 Centre of Excellence in Mathematics, Commission on Higher Education(CHE), Si Ayutthaya Road, Bangkok 10400, Thailand

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 we used in the optimal level. Groundwater that contaminated chloride and their substances impacts human health, for an example, if we drink water that contaminated chloride exceed 250 mg/L it can cause heart problems and contribute 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 groundwater, 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 groundwater, after computation we will plugin the result into the last model to approximated the chloride concentration in groundwater. Groundwater contamination dispersion model provides chloride, hypochlorite, chlorite, chlorate and perchlorate concentration. The proposed explicit finite difference techniques are used to approximate the model solution. Explicit method was used to solved hydraulic head model. Forward space described groundwater velocity model. Forward time and central space used to predict transient groundwater contaminated models. The simulations can be used to indicate when each simulated zone becomes a hazardous zone or a protection zone.

KEYWORDS
Finite Difference Method, Forward Space Technique, Forward Time Centred Space Two-dimensional

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Jirapud Limthanakul , Nopparat Pochai , "A Mathematical Model of Horizontal Averaged Groundwater Pollution Measurement with Several Substances due to Chemical Reaction," Mathematics and Statistics, Vol. 8, No. 6, pp. 645 - 655, 2020. DOI: 10.13189/ms.2020.080604.

(b). APA Format:
Jirapud Limthanakul , Nopparat Pochai (2020). A Mathematical Model of Horizontal Averaged Groundwater Pollution Measurement with Several Substances due to Chemical Reaction. Mathematics and Statistics, 8(6), 645 - 655. DOI: 10.13189/ms.2020.080604.