Review of the Role of Analytical Modelling Methods in Riverbank Filtration System
DOI:
https://doi.org/10.11113/jt.v71.3055Keywords:
Riverbank filtration, analytical modelling, transformation techniques, contaminant transport, pumping well, groundwaterAbstract
Riverbank filtration (RBF) technology is applied in several countries around the world as one of the main sources of drinking water supply both from quantitative and qualitative point of view. Consequently, several analytical modelling methods, mostly based on the transformation techniques, are developed in literature to describe different processes which occur in RBF system. An extensive overview of these analytical methods, their uses and limitations are discussed. The review disclosed that most analytical models usually are concerned in evaluating stream depletion rate rather than contaminants transport especially the transportation of pesticides and pathogens. Laplace and Fourier methods are more popular methods used by researchers to solve the system of partial differential equation that developed to simulate the RBF problem.
References
Ray, C. 2002. Conclusions and Recommendations of the NATO Advanced Research Workshop: Contaminant Biogeochemistry and Pathogen Removal Efficiency. In Riverbank Filtration: Understanding Contaminant Biogeochemistry and Pathogen Removal. C. Ray, Editor. Springer Netherlands. 247–250.
Huisman, L. and T. N. Olsthoorn. 1983. Artificial Groundwater Recharge. London: Pitman Advanced Publishing Program. Technology & Engineering. 320.
Dash, R. R., E. V. P. Bhanu Prakash, P. Kumar, I. Mehrotra, C. Sandhu, and T. Grischek. 2010. River Bank Filtration in Haridwar, India: Removal of Turbidity, Organics and Bacteria. Hydrogeology Journal. 18(4): 973–983.
Shamsuddin, M. K. N., W. N. A. Sulaiman, S. Suratman, M. P. Zakaria, and K. Samuding. 2013. Conjunctive Use of Surface Water and Groundwater via the Bank Infiltration Method. Arabian Journal of Geosciences.
Kim, S. B., M. Yavuz Corapcioglu, and D. J. Kim. 2003. Effect of Dissolved Organic Matter and Bacteria on Contaminant Transport in Riverbank Filtration. J Contam Hydrol. 66(1–2): 1–23.
Shankar, V., P. Eckert, C. Ojha, and C. M. König. 2008. Transient Three-dimensional Modeling of Riverbank Filtration at Grind Well Field, Germany. Hydrogeology Journal. 17(2): 321–326.
Maliva, R. and T. Missimer. 2012. Riverbank Filtration, in Arid Lands Water Evaluation and Management. Springer Berlin Heidelberg. 631–645.
Theis, C.V. 1941. The Effect of a Well on a Nearby Stream. Trans. Am. Geophys. 22: 734–738.
Doussan, C., G. Poitevin, E. Ledoux, and M. Detay. 1997. River Bank Filtration: Modelling of the Changes in Water Chemistry with Emphasis on Nitrogen Species. Journal of Contaminant Hydrology. 25(1–2): 129–156.
Jenkins, C. T. 1968. Techniques for Computing Rate and Volume of Stream Depletion by Wells. Ground Water. 6: 37–46.
Hunt, B. 1999. Unsteady Stream Depletion from Ground Water Pumping. Ground Wate. 37(1): 98–102.
Zlotnik, V. and D. Tartakovsky. 2008. Stream Depletion by Groundwater Pumping in Leaky Aquifers. Journal of Hydrologic Engineering. 13(2): 43–50.
Dillon, P.J., M. Miller, H. Fallowfield, and J. Hutson. 2002. The Potential of Riverbank Filtration for Drinking Water Supplies in Relation to Microsystin Removal in Brackish Aquifers. Journal of Hydrology. 266(3–4): 209–221.
Bakker, M., V.A. Kelson, and K.H. Luther. 2005. Multilayer Analytic Element Modeling of Radial Collector Wells. Ground water. 0(0): 50901015612001.
Malaguerra, F., H.-J. Albrechtsen, and P. J. Binning. 2013. Assessment of the Contamination of Drinking Water Supply Wells by Pesticides from Surface Water Resources Using a Finite Element Reactive Transport Model and Global Sensitivity Analysis Techniques. Journal of Hydrolog. 476(0): 321–331.
Hunt, B. 2008. Stream Depletion for Streams and Aquifers with Finite Widths. Journal of Hydrologic Engineering. 13(2): 80–89.
Kumar, N. and M. Kumar. 1998. Solute Dispersion Along Unsteady Groundwater Flow in a Semi-infinite Aquifer. Hydrology and Earth System Sciences. 2(1): 93–100.
Natarajan, N. and G. Suresh Kumar. 2011. Numerical Modeling of Bacteria Facilitated Contaminant Transport in Fractured Porous Media. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 387(1–3): 104–112.
Zhan, H. and V. A. Zlotnik. 2002. Groundwater Flow to a Horizontal or Slanted Well in an Unconfined Aquifer. Water Resources Research. 38(7): 13–11.
Zhan, H. and E. Park. 2003. Horizontal Well Hydraulics in Leaky Aquifers. Journal of Hydrolog. 281(1–2): 129–146.
Shamsuddin, M. K. N. and S. Suratman. 2011. Study on Groundwater Optimisation in Jenderam Hilir . DengkiL, Selangor.
Batu, V. 2005. Fundamental Principles of Solute Transport in Aquifers, in Applied Flow and Solute Transport Modeling in Aquifers. CRC Press. 7–48.
Yeh, H.-D. and Y.-C. Chang. 2013. Recent Advances in Modeling of Well Hydraulics. Advances in Water Resources. 51: 27–51.
Fox, G. A., P. DuChateau, and D. S. Durnford. 2002. Analytical Model for Aquifer Response Incorporating Distributed Stream Leakage. Ground Water. 40(4): 378–384.
Baalousha, H. M. 2012. Drawdown and Stream Depletion Induced by a Nearby Pumping Well. Journal of Hydrolog. 466–467(0): 47–59.
Theis, C. V. 1935. The Relation Between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge of a Well Using Groundwater Storage. Transactions Americanm. Geophyical Union. 16: 519–524.
Anderson, E. I. 2005. Modeling Groundwater–surface Water Interactions Using the Dupuit Approximation. Advances in Water Resource. 28(4): 315–327.
Singh, M. K., S. Ahamad, and V. P. Singh. 2012. Analytical Solution for One-Dimensional Solute Dispersion with Time-Dependent Source Concentration along Uniform Groundwater Flow in a Homogeneous Porous Formation. Journal of Engineering Mechanics-Asce. 138(8): 1045–1056.
Singh, R.N. 2013. Advection Diffusion Equation Models in Near-Surface Geophysical and Environmental Sciences. J. Ind. Geophys. Union. 17: 117–127.
Faulkner, B. R., Y. Olivas, M. W. Ware, M. G. Roberts, J. F. Groves, K. S. Bates, and S. L. McCarty. 2010. Removal Efficiencies and Attachment Coefficients for Cryptosporidium in Sandy Alluvial Riverbank Sediment. Water Res. 44(9): 2725–34.
Yavuz Corapcioglu, M. and A. Haridas. 1985. Microbial Transport in Soils and Groundwater: A Numerical Model. Advances in Water Resources. 8(4): 188–200.
Murphy, E. M. and T. R. Ginn. 2000. Modeling Microbial Processes in Porous Media. Hydrogeology Journ. 8(1): 142–158.
Harvey, R. W., D. W. Metge, N. Kinner, and N. Mayberry. 1996. Physiological Considerations in Applying Laboratory-Determined Buoyant Densities to Predictions of Bacterial and Protozoan Transport in Groundwater:  Results of In-Situ and Laboratory Tests. Environmental Science & Technolog. 31(1): 289–295.
Tufenkji, N. 2007. Modeling Microbial Transport in Porous Media: Traditional Approaches and Recent Developments. Advances in Water Resources. 30(6–7): 1455–1469.
Huang, C.-S., Y.-L. Chen, and H.-D. Yeh. 2011. A General Analytical Solution for Flow to a Single Horizontal Well by Fourier and Laplace Transforms. Advances in Water Resources. 34(5): 640–648.
Allan, F.M. and E. Elnajjar. 2012. The Role of Mathematical Modeling in Understanding the Groundwater Pollution. Int. J. of Thermal & Environmental Engineering. 4: 171–176.
Holzbecher, E. 2006. Calculating the Effect of Natural Attenuation During Bank Filtration. Computers & Geosciences. 32(9): 1451–1460.
Richard, B. and C. Gabriel. 2009. CHAPTER 21 The Laplace Transform, in Schaum’s Outline of Differential Equations. Third Edition. McGraw Hill Professional, Access Engineering.
Connell, L. D. 2007. Simple Models for Subsurface Solute Transport That Combine Unsaturated and Saturated Zone Pathways. Journal of Hydrology. 332(3–4): 361–373.
Chen, J. S., K. H. Lai, C. W. Liu, and C. F. Ni.2012. A Novel Method for Analytically Solving Multi-species Advective-dispersive Transport Equations Sequentially Coupled with First-order Decay Reactions. Journal of Hydrology. 420: 191–204.
Kenneth, B.H. 2010. Fourier Transforms, in Transforms and Applications Handbook. Third Edition. CRC Press.
Chen, J.S. 2010. Analytical Model for Fully Three-dimensional Radial Dispersion in a Finite-thickness Aquifer. Hydrological Processes. 24(7): 934–945.
Singh, M.K. 2011. Comparative Study of Analytical Solutions for Time-Dependent Solute Transport Along Unsteady Groundwater Flow in Semi-infinite Aquifer. International Journal of Geosciences. 2(4): 457–467.
Hunt, B. 2009. Stream Depletion in a Two-Layer Leaky Aquifer System. Journal of Hydrologic Engineering. 14(9): 895–903.
Intaraprasong, T. and H. Zhan. 2009. A General Framework of Stream–aquifer Interaction Caused by Variable Stream Stages. Journal of Hydrology. 373(1-2): 112–121.
Massabó, M., R. Cianci, and O. Paladino. 2006. Some Analytical Solutions for Two-dimensional Convection–dispersion Equation in Cylindrical Geometry. Environmental Modelling & Software. 21(5): 681–688.
Singh, M., P. Singh, and V. Singh. 2010. Analytical Solution for Two-Dimensional Solute Transport in Finite Aquifer with Time-Dependent Source Concentration. Journal of Engineering Mechanics. 136(10): 1309–1315.
Park, E. and H. Zhan. 2001. Analytical Solutions of Contaminant Transport from Finite One-, Two-, and Three-dimensional Sources in A Finite-thickness Aquifer. Journal of Contaminant Hydrology. 53(1–2): 41–61.
Christensen, S., V.A. Zlotnik, and D.M. Tartakovsky. 2009. Optimal Design of Pumping Tests in Leaky Aquifers for Stream Depletion Analysis. Journal of Hydrology. 375(3–4): 554–565.
Bakker, M. 2010. Hydraulic Modeling of Riverbank Filtration Systems with Curved Boundaries Using Analytic Elements and Series Solutions. Advances in Water Resources. 33(8): 813–819.
Hantush, M.S. and I.S. Papadopulos. 1962. Flow of Groundwater Tto Collector Wells. Journal of Hydraulic Engineering. 88(5): 221–244.
Debrine, B.E. 1970. Electrolytic Model Study for Collector Wells under River Beds. Water Resources Research. 6(3): 971–978.
Anderson, E.I. 2013. Stable Pumping Rates for Horizontal Wells in Bank Filtration Systems. Advances in Water Resources. 54: 57–66.
Banerjee, G. 2011. Groundwater Abstraction Through River-bed Collector Well: A Case Study Based on Geophysical and Hydrological Investigation. Clean Technologies and Environmental Policy. 14(4): 573–587.
Chesnaux, R. and D.M. Allen. 2008. Groundwater Travel Times for Unconfined Island Aquifers Bounded by Freshwater or Seawater. Hydrogeology Journal. 16(3): 437–445.
Osenbrück, K., T. Wöhling, D. Lemke, N. Rohrbach, M. Schwientek, C. Leven, C. Castillo Alvarez, H. Taubald, and O. A. Cirpka. 2013. Assessing Hyporheic Exchange and Associated Travel Times by Hydraulic, Chemical, and Isotopic Monitoring at the Steinlach Test Site, Germany. Environmental Earth Sciences. 69(2): 359–372.
Buzek, F., R. Kadlecova, I. Jackova, and Z. Lnenickova. 2012. Nitrate Transport in the Unsaturated Zone: A Case Study of the Riverbank Filtration System Karany, Czech Republic. Hydrological Processes. 26(5): 640–651.
Tournoud, M.-G., J.-L. Perrin, F. Gimbert, and B. Picot. 2005. Spatial Evolution of Nitrogen and Phosphorus Loads Along a Small Mediterranean River: Implication of Bed Sediments. Hydrological Processes. 19(18): 3581–3592.
Hoppe-Jones, C., G. Oldham, and J.E. Drewes. 2010. Attenuation of Total Organic Carbon a Unregulated Trace Organic Chemicals in U.S. Riverbank Filtration Systems. Water Research. 44(15): 4643–4659.
Kuehn, W. and U. Mueller. 2000. Riverbank Filtration: An Overview. American Water Works Association. Journal. 92(12): 60.
Jacques, D., J. Šimůnek, D. Mallants, and M. T. van Genuchten. 2008. Modelling Coupled Water Flow, Solute Transport and Geochemical Reactions Affecting Heavy Metal Migration in a Podzol Soil. Geoderma. 145(3–4): 449–461.
Singh, G., S.K. Gupta, R. Kumar, and M. Sunderarajan. 2007. Mathematical Modeling of Leachates from Ash Ponds of Thermal Power Plants. Environmental Monitoring and Assessment. 130(1–3): 173–185.
Hiscock, K. M. and T. Grischek. 2002. Attenuation of Groundwater Pollution by Bank Filtration. Journal of Hydrology. 266(3–4): 139–144.
Domenico, P. A. and G. A. Robbins. 1985. A New Method of Contaminant Plume Analysis. Ground Water. 23(4): 476–485.
Domenico, P.A. 1987. An Analytical Model for Multidimensional Transport of a Decaying Contaminant Species. Journal of Hydrology. 91(1–2): 49–58.
Promma, K. 2010. Approximate solution to simulate dissolved contaminant transport in groundwater from prism source. Journal of Hydrology. 389(3–4): 381–389.
Chen, Y.M., H.J. Xie, H. Ke, and R.P. Chen. 2009. An analytical solution for one-dimensional contaminant diffusion through multi-layered system and its applications. Environmental Geology. 58(5): 1083–1094.
Wang, H.T., R. Han, Y. Zhao, W.J. Lu, and Y.X. Zhang. 2011. Stepwise superposition approximation approach for analytical solutions with non-zero initial concentration using existing solutions of zero initial concentration in contaminate transport. Journal of Environmental Sciences-China. 23(6): 923–930.
Downloads
Published
Issue
Section
License
Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.
