### Journals Information

Mathematics and Statistics Vol. 8(1), pp. 61 - 74
DOI: 10.13189/ms.2020.080107
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## A Two-dimensional Mathematical Model for Long-term Contaminated Groundwater Pollution Measurement around a Land Fill

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

A source of contaminated groundwater is governed by the disposal of waste material on a land fill. There are many people in rural areas where the primary source of drinking water is well water. This well water may be contaminated with groundwater from landfills. In this research, a two-dimensional mathematical model for long-term contaminated groundwater pollution measurement around a land fill is proposed. The model is governed by a combination of two models. The first model is a transient two-dimensional groundwater flow model that provides the hydraulic head of the groundwater. The second model is a transient twodimensional advection-diffusion equation that provides the groundwater pollutant concentration. The proposed explicit finite difference techniques are used to approximate the hydraulic head and the groundwater pollutant concentration. The simulations can be used to indicate when each simulated zone becomes a hazardous zone or a protection zone.

KEYWORDS
Groundwater Pollution, Landfill, Contamination, Finite Difference Method, Two-dimensional

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Jirapud Limthanakul , Nopparat Pochai , "A Two-dimensional Mathematical Model for Long-term Contaminated Groundwater Pollution Measurement around a Land Fill," Mathematics and Statistics, Vol. 8, No. 1, pp. 61 - 74, 2020. DOI: 10.13189/ms.2020.080107.

(b). APA Format:
Jirapud Limthanakul , Nopparat Pochai (2020). A Two-dimensional Mathematical Model for Long-term Contaminated Groundwater Pollution Measurement around a Land Fill. Mathematics and Statistics, 8(1), 61 - 74. DOI: 10.13189/ms.2020.080107.