title: Modelling contaminant transport for pumping wells in riverbank filtration systems.
abstract: Analytical study of the influence of both the pumping well discharge rate and pumping time on contaminant transport and attenuation is significant for hydrological and environmental science applications. This article provides an analytical solution for investigating the influence of both pumping time and travelling time together for one-dimensional contaminant transport in riverbank filtration systems by using the Green's function approach. The basic aim of the model is to understand how the pumping time and pumping rate, which control the travelling time, can affect the contaminant concentration in riverbank filtration systems. Results of analytical solutions are compared with the results obtained using a MODFLOW numerical model. Graphically, it is found that both analytical and numerical solutions have almost the same behaviour. Additionally, the graphs indicate that any increase in the pumping rate or simulation pumping time should increase the contamination in groundwater. The results from the proposed analytical model are well matched with the data collected from a riverbank filtration site in France. After this validation, the model is then applied to the first pilot project of a riverbank filtration system conducted in Malaysia. Sensitivity analysis results highlight the importance of degradation rates of contaminants on groundwater quality, for which higher utilization rates lead to the faster consumption of pollutants.
authors.affiliation: UTM Centre for Industrial & Applied Mathematics, Ibnu Sina Institute for Scientific & Industrial Research, Malaysia.
authors.forename: Shaymaa
authors.initials: S
authors.lastname: Mustafa
authors.affiliation: UTM Centre for Industrial & Applied Mathematics, Ibnu Sina Institute for Scientific & Industrial Research, Malaysia; Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia.
authors.forename: Arifah
authors.initials: A
authors.lastname: Bahar
authors.affiliation: UTM Centre for Industrial & Applied Mathematics, Ibnu Sina Institute for Scientific & Industrial Research, Malaysia; Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia. Electronic address: abdulazizzainal@gmail.com.
authors.forename: Zainal Abdul
authors.initials: ZA
authors.lastname: Aziz
authors.affiliation: National Hydraulics Research Institute Malaysia (NAHRIM), Lot 5377, Jalan Putra Permai, 43300 Seri Kembangan, Malaysia.
authors.forename: Saim
authors.initials: S
authors.lastname: Suratman
mesh_terms: D005374:Filtration / Q000379:methods; D005602:France; D060587:Groundwater / Q000032:analysis / Q000737:chemistry; D062070:Hydrology / Q000379:methods; D008296:Malaysia; D008962:Models, Theoretical; D010865:Pilot Projects; D015203:Reproducibility of Results; D014874:Water Pollutants, Chemical / Q000032:analysis*; D060986:Water Wells
chemical_list: D014874:Water Pollutants, Chemical
keywords: Analytical modelling; Contaminant transport; Green's function; Pumping well; Riverbank filtration