Forecasting Safe Distance of a Pumping Well for Effective Riverbank Filtration
Publication: Journal of Hazardous, Toxic, and Radioactive Waste
Volume 23, Issue 2
Abstract
Riverbank filtration (RBF) is a cost-effective method to pretreat the surface and groundwater supplies. A safe distance of the pumping well is a function of water quality, soil condition, and the rate of pumping. This article reports findings of an analytic element method (AEM) based on logistic function and hydrodynamic groundwater flow. The logistic model was used to find the safe distance of a pumping well from a polluted river with respect to specific log cycle reduction in harmful pathogen concentration, whereas the hydrodynamic equation was used to measure the travel time of a parcel of water to decide the specific location of a production well. Pathogen transport considering dispersion and decay by applying an explicit finite difference scheme was analyzed. In this article, pathogen transport in groundwater was simulated using a developed model called LIFI-PATRAM that integrated an AEM flow solution with a pathogen transport model. The variation of pathogen concentration with distance at different times was also analyzed for the specific pumping rate. To achieve the objective of limiting pumping rate, the desired reduction of pathogen concentration was evaluated. The findings revealed that the variation of logarithmic concentration of pathogen with distance became linear under hydrodynamic equilibrium condition, which helped to forecast the appropriate location of a pumping well.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abramowitz, M., and I. A. Stegun. 1970. Handbook of mathematical functions. New York: Dover Publications.
Ahmed, A. K. A., and T. F. Marhaba. 2016. “Review on river bank filtration as an in situ water treatment process.” Clean Technol. Environ. Policy 19 (2): 349–359. https://doi.org/10.1007/s10098-016-1266-0.
Beller, M., et al. 1997. “Outbreak of viral gastroenteritis due to a contaminated well: International consequences.” JAMA 278 (7): 563–568. https://doi.org/10.1001/jama.1997.03550070055038.
Chang, H.-X., Y. Huang, Q. Fu, Q. Liao, and X. Zhu. 2016. “Kinetic characteristics and modeling of microalgae Chlorella vulgaris growth and CO2 biofixation considering the coupled effects of light intensity and dissolved inorganic carbon.” Bioresour. Technol. 206: 231–238. https://doi.org/10.1016/j.biortech.2016.01.087.
Chrysikopoulos, C. V., and Y. Sim. 1996. “One-dimensional virus transport in homogeneous porous media with time-dependent distribution coefficient.” J. Hydrol. 185 (1): 199–219. https://doi.org/10.1016/0022-1694(95)02990-7.
Dalai, C., and R. Jha. 2014. “Review on water treatment techniques used for riverbank filtration.” Int. J. Civ. Eng. Res. 5 (3): 221–226.
Derx, J., A. P. Blaschke, A. H. Farnleitner, L. Pang, G. Blöschl, and J. F. Schijven. 2013. “Effects of fluctuations in river water level on virus removal by bank filtration and aquifer passage: A scenario analysis.” J. Contam. Hydrol. 147: 34–44. https://doi.org/10.1016/j.jconhyd.2013.01.001.
Douglas, J., Jr. 1956. “On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations.” J. Soc. Ind. Appl. Math. 4 (1): 20–37. https://doi.org/10.1137/0104002.
Ferris, J. G., D. B. Knowles, R. H. Brown, and R. W. Stallman. 1962. Theory of aquifer tests. Washington, DC: US Geological Survey.
Gaur, S., S. Ch, D. Graillot, B. R. Chahar, and D. N. Kumar. 2013. “Application of artificial neural networks and particle swarm optimization for the management of groundwater resources.” Water Resour. Manage. 27 (3): 927–941. https://doi.org/10.1007/s11269-012-0226-7.
Gavrilescu, M., K. Demnerová, J. Aamand, S. Agathos, and F. Fava. 2015. “Emerging pollutants in the environment: Present and future challenges in biomonitoring, ecological risks and bioremediation.” New Biotechnol. 32 (1): 147–156. https://doi.org/10.1016/j.nbt.2014.01.001.
Gershenfeld, N. 1999. The nature of mathematical modeling. New York: Cambridge University Press.
Harvey, R. W., and S. P. Garabedian. 1991. “Use of colloid filtration theory in modeling movement of bacteria through a contaminated sandy aquifer.” Environ. Sci. Technol. 25 (1): 178–185. https://doi.org/10.1021/es00013a021.
Islam, M. S., M. K. Ahmed, M. Raknuzzaman, M. Habibullah-Al-Mamun, and M. K. Islam. 2015. “Heavy metal pollution in surface water and sediment: A preliminary assessment of an urban river in a developing country.” Ecol. Indic. 48: 282–291. https://doi.org/10.1016/j.ecolind.2014.08.016.
Majumder, P., and T. I. Eldho. 2015. “Groundwater flow and transport simulation for a confined aquifer using analytic element method and random walk particle tracking.” In E-proceedings of the 36th IAHR World Congress. Madrid, Spain: IAHR.
MathWorks. 2015. MATLAB documentation. Natick, MA: MathWorks.
Mategaonkar, M., and T. I. Eldho. 2012. “Simulation-optimization model for in situ bioremediation of groundwater contamination using mesh-free PCM and PSO.” J. Hazard. Toxic Radioactive Waste 16 (3): 207–218. https://doi.org/10.1061/(ASCE)HZ.2153-5515.0000126.
Matott, L. S., A. J. Rabideau, and J. R. Craig. 2006. “Pump-and-treat optimization using analytic element method flow models.” Adv. Water Resour. 29 (5): 760–775. https://doi.org/10.1016/j.advwatres.2005.07.009.
O’Brien, G. G., M. A. Hyman, and S. Kaplan. 1949. “A study of the numerical solution of partial differential equations.” J. Math. Phys. 29 (1–4): 223–251. https://doi.org/10.1002/sapm1950291223.
Ogata, A., and R. B. Banks. 1961. A solution of the differential equation of longitudinal dispersion in porous media. USGS Numbered Series, Professional Paper 411-A, A1–A7. Washington, DC: US Geological Survey.
Pang, L. 2009. “Microbial removal rates in subsurface media estimated from published studies of field experiments and large intact soil cores.” J. Environ. Qual. 38 (4): 1531–1559. https://doi.org/10.2134/jeq2008.0379.
Pang, L., M. Close, M. Goltz, L. Sinton, H. Davies, C. Hall, and G. Stanton. 2004. “Estimation of septic tank setback distances based on transport of E. coli and F-RNA phages.” Environ. Int. 29 (7): 907–921. https://doi.org/10.1016/S0160-4120(03)00054-0.
Patra, H. P., S. K. Adhikari, and S. Kunar. 2016. “Aquifer parameters, pumping test and the yield.” In Groundwater prospecting and management, 159–181. Singapore: Springer.
Pekdeger, A., G. Mathess, and J. Schroter. 1985. “Hydrogeology in the service of man.” In Proc., Memoires of the 18th Congress of the International Association of Hydrogeologists. Wallingford, UK: IAHS.
Ponce, V. M., H. Indlekofer, and D. B. Simons. 1978. “Convergence of four-point implicit water wave models.” J. Hydraul. Div. 104 (7): 947–958.
Ponce, V. M., H. Indlekofer, and D. B. Simons. 1979. “The convergence of implicit bed transient models.” J. Hydraul. Div. 105 (4): 351–363.
Prasad, K. S. H., C. S. P. Ojha, R. K. Nirala, and D. Sharma. 2016. “Optimal well location in a river bank filtration system: Sensitivity to aquifer characteristics and decay rate.” J. Hazard. Toxic Radioactive Waste 20 (3): 1–6. https://doi.org/10.1061/(ASCE)HZ.2153-5515.0000307.
Pruitt, K. M., and D. N. Kamau. 1993. “Mathematical models of bacterial growth, inhibition and death under combined stress conditions.” J. Ind. Microbiol. 12 (3): 221–231. https://doi.org/10.1007/BF01584194.
Ramalingam, B., R. Sekar, J. B. Boxall, and C. Biggs. 2013. “Aggregation and biofilm formation of bacteria isolated from domestic drinking water.” Water Sci. Technol.: Water Supply 13 (4): 1016–1023. https://doi.org/10.2166/ws.2013.115.
Ray, C., T. Grischek, J. Schubert, J. Z. Wang, and T. F. Speth. 2002. “A perspective of riverbank filtration.” Water Am. Water Works Assoc. 94 (4): 149–160. https://doi.org/10.1002/j.1551-8833.2002.tb09459.x.
Reshes, G., S. Vanounou, I. Fishov, and M. Feingold. 2008. “Cell shape dynamics in Escherichia coli.” Biophys. J. 94 (1): 251–264. https://doi.org/10.1529/biophysj.107.104398.
Schijven, J. F., and S. M. Hassanizadeh. 2000. “Removal of viruses by soil passage: Overview of modeling, processes, and parameters.” Crit. Rev. Environ. Sci. Technol. 30 (1): 49–127. https://doi.org/10.1080/10643380091184174.
Schijven, J. F., G. Medema, A. J. Vogelaar, and S. M. Hassanizadeh. 2000. “Removal of microorganisms by deep well injection.” J. Contam. Hydrol. 44 (3–4): 301–327. https://doi.org/10.1016/S0169-7722(00)00098-X.
Strack, O. D. L. 1989. Groundwater mechanics. Englewood Cliffs, NJ: Prentice Hall.
Strogatz, S. H. 2001. Nonlinear dynamics and chaos: With applications to physics, biology, chemistry and engineering. Boulder, CO: Westview Press.
Theis, C. Y. 1941. “The effect of a well on the flow of a nearby stream.” Trans. Am. Geophys. Union 22 (3): 734–738. https://doi.org/10.1029/TR022i003p00734.
Todd, D. K., and L. W. Mays. 2005. Groundwater hydrology. New York: Wiley.
Tsihrintzis, V. A. 2013. “Book review Marcello Benedini and George Tsakiris. (2013). Water quality modelling for rivers and streams, Springer, water science and technology library series, Vol. 70, 288p, ISBN 978-94-007-5508-6.” Water Resour. Manage. 27 (15): 5299–5302. https://doi.org/10.1007/s11269-013-0456-3.
Verhulst, P.-F. 1838. “Notice sur la loi que la population poursuit dans son accroissement.” Corresp. Math. Phys. 10: 113–121.
Verstraeten, I. M., T. Heberer, J. R. Vogel, T. Speth, S. Zuehlke, and U. Duennbier. 2003. “Occurrence of endocrine-disrupting and other wastewater compounds during water treatment with case studies from Lincoln, Nebraska and Berlin, Germany.” Pract. Period. Hazard. Toxic Radioactive Waste Manage. 7 (4): 253–263. https://doi.org/10.1061/(ASCE)1090-025X(2003)7:4(253).
Wang, J. 2003. “Riverbank filtration case study at Louisville, Kentucky.” In Riverbank filtration: Improving source-water quality, edited by C. Ray, G. Melin, and R. B. Linsky, 117–145. Dordrecht, Netherlands: Springer.
Wang, L., D. Fan, W. Chen, and E. M. Terentjev. 2015. “Bacterial growth, detachment and cell size control on polyethylene terephthalate surfaces.” Sci. Rep. 5 (1): 15159. https://doi.org/10.1038/srep15159.
WHO (World Health Organization). 2008. “Guidelines for drinking-water quality: Incorporating 1st and 2nd addenda.” Accessed November 10, 2010. https://www.who.int/water_sanitation_health/dwq/fulltext.pdf.
Yates, M. V., C. P. Gerba, and L. M. Kelley. 1985. “Virus persistence in groundwater.” Appl. Environ. Microbiol. 49 (4): 778–781.
Information & Authors
Information
Published In
Journal of Hazardous, Toxic, and Radioactive Waste
Volume 23 • Issue 2 • April 2019
Copyright
©2018 American Society of Civil Engineers.
History
Received: May 14, 2018
Accepted: Aug 29, 2018
Published online: Dec 7, 2018
Published in print: Apr 1, 2019
Discussion open until: May 7, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.