A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation
Groundwater is being contaminated rapidly due to various anthropogenic activities and geogenic sources. In this direction, assessment of water quality analysis is the basic requirement for nurturing the human being and its evolution. The Water Quality Index (WQI) parameter has been widely used in de...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IWA Publishing
2022-06-01
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| Series: | Water Supply |
| Subjects: | |
| Online Access: | http://ws.iwaponline.com/content/22/6/6070 |
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| author | Purushottam Agrawal Alok Sinha Srinivas Pasupuleti Jitendra Sinha Ayan Chatterjee Satish Kumar |
| author_facet | Purushottam Agrawal Alok Sinha Srinivas Pasupuleti Jitendra Sinha Ayan Chatterjee Satish Kumar |
| author_sort | Purushottam Agrawal |
| collection | DOAJ |
| description | Groundwater is being contaminated rapidly due to various anthropogenic activities and geogenic sources. In this direction, assessment of water quality analysis is the basic requirement for nurturing the human being and its evolution. The Water Quality Index (WQI) parameter has been widely used in determining water quality globally. The study aims to provide the suitability of groundwater in the specified region using the polynomial approximation method for drinking and irrigation purposes along with the computation of WQI using the conventional method. Weierstrass's polynomial approximation theorem along with longitudinal and latitudinal values has been used to evaluate the polynomial regarding various physicochemical parameters. To validate the obtained results from the present approach, groundwater quality data collected and analyzed from the Pindrawan tank area in Raipur district, Chhattisgarh, India, have been used. The result is 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 the two-dimensional 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. HIGHLIGHTS
Approximation of contaminant concentration of groundwater for various physicochemical parameters.;
Use of polynomial approximation in any geological scenario to predict contaminant concentration.;
Collect data for a specific region and use the data to find the values of the constants.;
Cross-verify the result with the observed value and 7% expected error is obtained.; |
| first_indexed | 2024-04-11T21:42:52Z |
| format | Article |
| id | doaj.art-3cd6d07661bb4e61a7b701493f485f51 |
| institution | Directory Open Access Journal |
| issn | 1606-9749 1607-0798 |
| language | English |
| last_indexed | 2024-04-11T21:42:52Z |
| publishDate | 2022-06-01 |
| publisher | IWA Publishing |
| record_format | Article |
| series | Water Supply |
| spelling | doaj.art-3cd6d07661bb4e61a7b701493f485f512022-12-22T04:01:30ZengIWA PublishingWater Supply1606-97491607-07982022-06-012266070608210.2166/ws.2022.219219A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximationPurushottam Agrawal0Alok Sinha1Srinivas Pasupuleti2Jitendra Sinha3Ayan Chatterjee4Satish Kumar5 Department of Environmental Science and Engineering, Indian Institute of Technology (Indian School of Mines) Dhanbad, Dhanbad 826004, Jharkhand, India Department of Environmental Science and Engineering, Indian Institute of Technology (Indian School of Mines) Dhanbad, Dhanbad 826004, Jharkhand, India Department of Civil Engineering, Indian Institute of Technology (Indian School of Mines) Dhanbad, Dhanbad 826004, Jharkhand, India Soil and Water Engineering, SVCAETRS, Indira Gandhi Krishi Vishwavidyalaya, Raipur 492012, Chhattisgarh, India School of Engineering & Applied Sciences, The Neotia University, Diamond Harbour, West Bengal, India Geomatics Division, Department of Mining Engineering, Indian Institute of Technology (Indian School of Mines) Dhanbad, Dhanbad 826004, Jharkhand, India Groundwater is being contaminated rapidly due to various anthropogenic activities and geogenic sources. In this direction, assessment of water quality analysis is the basic requirement for nurturing the human being and its evolution. The Water Quality Index (WQI) parameter has been widely used in determining water quality globally. The study aims to provide the suitability of groundwater in the specified region using the polynomial approximation method for drinking and irrigation purposes along with the computation of WQI using the conventional method. Weierstrass's polynomial approximation theorem along with longitudinal and latitudinal values has been used to evaluate the polynomial regarding various physicochemical parameters. To validate the obtained results from the present approach, groundwater quality data collected and analyzed from the Pindrawan tank area in Raipur district, Chhattisgarh, India, have been used. The result is 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 the two-dimensional 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. HIGHLIGHTS Approximation of contaminant concentration of groundwater for various physicochemical parameters.; Use of polynomial approximation in any geological scenario to predict contaminant concentration.; Collect data for a specific region and use the data to find the values of the constants.; Cross-verify the result with the observed value and 7% expected error is obtained.;http://ws.iwaponline.com/content/22/6/6070contaminant concentrationgroundwaterparameter estimationpindrawan tank areapolynomial approximationwater quality index |
| spellingShingle | Purushottam Agrawal Alok Sinha Srinivas Pasupuleti Jitendra Sinha Ayan Chatterjee Satish Kumar A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation Water Supply contaminant concentration groundwater parameter estimation pindrawan tank area polynomial approximation water quality index |
| title | A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation |
| title_full | A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation |
| title_fullStr | A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation |
| title_full_unstemmed | A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation |
| title_short | A mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation |
| title_sort | mathematical approach to evaluate the extent of groundwater contamination using polynomial approximation |
| topic | contaminant concentration groundwater parameter estimation pindrawan tank area polynomial approximation water quality index |
| url | http://ws.iwaponline.com/content/22/6/6070 |
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