A mathematical approach to evaluate the extent of groundwater contamination

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A mathematical approach to evaluate the extent of groundwater contamination


Groundwater is getting contamination rapidly due to various anthropogenic activities and geogenic sources. In this direction, assessment of water quality analysis is the basic requirement for nurturing human being and its evolution. Water Quality Index (WQI) parameter have been widely used in determining water quality globally.

The study aims to provide the suitability of groundwater in the specified region using polynomial approximation method for drinking and irrigation purposes along with the computation of WQI using conventional method. Weierstrass’s polynomial approximation theorem along with longitudinal and latitudinal values has been used to evaluate the polynomial regarding various physico-chemical parameters. To validate the obtained results from the present approach, groundwater water quality data collected and analyzed from the Pindrawan tank area in Raipur district, Chhattisgarh, India have been used.

The result obtained i.e., the Intermediate value of the parameters obtained correctly from the mathematical modeling with an average error of 7%. This polynomial approximation method can also be used as the substitute of inverse modeling to determine the location of the source in two-dimension system. The approach output can be beneficial to administrators in making decisions on groundwater quality and gaining insight into the tradeoff between system benefit and environmental requirement. Key words: contaminant concentration, groundwater, parameter est