Models of pollutant transport in natural aquifers

We present an approach for modelling the transport of pollution within a groundwater aquifer. The model is based on vertical discretisation of the aquifer into a number of horizontal layers. The approach can be used in a variety of situations. In particular, aquifers with lenses and phreatic surfaces are discussed. The use of the model is illustrated with examples including a comparison with experimental field data and the use of a second transported substance for remediation of the pollution. References A. Ali (2015) Simplified modelling of pollutant transport in naturally-layered aquifers , PhD Thesis, Massey University, NZ. https://mro.massey.ac.nz/handle/10179/6782 A. Ali, R. McKibbin, W.L. Sweatman (2012) Fluid flow and solute transport in unevenly-stratified groundwater aquifers , AIP Conference Proceedings, 1453, 11–16. doi:10.1063/1.4711146 A. Ali, R. McKibbin, W.L. Sweatman (2012) Simplified modelling of pollutant transport in stratified groundwater aquifers , Proceedings of IEMSs 2012, 2739–2746. http://www.iemss.org/sites/iemss2012/proceedings/I1_0675_Ali_et_al.pdf A. Ali, R. McKibbin, W.L. Sweatman (2012) Tracer transport: Appearing or disappearing sub-layer in a groundwater aquifer , In: G. Mallinson, ed., Proceedings of the 23rd International Symposium on Transport Phenomena (ISTP), The University of Auckland, NZ. A. Ali, R. McKibbin, W.L. Sweatman (2014) A simplified model for transport in aquifers , Proceedings of ICPM5, ECI Symposium Series. http://dc.engconfintl.org/porous_media_V/56 A. Ali, W.L. Sweatman, R. McKibbin (2014) Pollutant transport and its alleviation in groundwater aquifers , Mathematics in Industry, 19, 53–58. doi:10.1007/978-3-319-05365-3_8 M.P. Anderson, J.A. Cherry (1979) Using models to simulate the movement of contaminants through groundwater flow systems , CRC Critical Reviews in Environmental Control, 9(2):97–156. doi:10.1080/10643387909381669 , J. Bear (1972) Dynamics of fluid in porous media Dover, New York. ISBN 10 0486656756 J. Bear, Y. Bachmat (1991) Introduction to modeling of transport phenomena in porous media , Kluwer. ISBN 978-94-009-1926-6 J. Bear, A. Verruijt (1978) Modeling groundwater flow and pollution D. Reidel, Dordrecht, Holland. H.P.G. Darcy (1856) Les fontaines publiques de la ville de dijon , Technical report, Victor Dalmont, Paris. J. Dupuit (1863) Etudes theoriques et pratiques sur le mouvement des eaux dans les canaux decouverts et a travers les terrains permeables , Dunod, Paris, 2nd edition. D.L. Freyberg (1986) A natural gradient experiment on solute transport in a sand aquifer: 2. Spatial moments and the advection and dispersion of nonreactive tracers , Water Resources Research, 22, 2031–2046. doi:10.1029/WR022i013p02031 D.M. Mackay, D.L. Freyberg, P.V. Roberts, J.A. Cherry (1986) A natural gradient experiment on solute transport in a sand aquifer: 1. Approach and overview of plume movement , Water Resources Research, 22, 2017–2029. doi:10.1029/WR022i013p02017 R. McKibbin (2009) Groundwater pollutant transport: transforming layered models to dynamical systems , An. St. Univ. Ovidius Constanta, Ser. Mat., 17(3), 183–196. http://www.emis.ams.org/journals/ASUO/mathematics/pdf19/McKibbin.pdf R. McKibbin (2010) Some aspects of modelling pollution transport in groundwater aquifers , In: L.H. Weiranto, S. Pudjaprasetya, editors, Proceedings of CIAM 2010, 9–16, ITB, Indonesia.