Analytical Solutions for Contaminant Transport in Wetlands Incorporating Surface Water and Groundwater Interactions
Publication: Journal of Hydrologic Engineering
Volume 20, Issue 4
Abstract
Wetlands are the transitional zones between uplands and downstream flooded systems; they play an important role in controlling storm water peak flow and downstream water quality. Since surface water/subsurface water interactions affect solute transport within wetlands significantly, contaminant transport models incorporating these interactions need to be investigated for wetland areas. Wetland solute transport dynamics (WETSAND) is a comprehensive wetland model, which has both surface flow and solute transport components. In WETSAND, water quality components are solved by advection-dispersion-reaction equations, which incorporate surface water/groundwater interactions by including the incoming/outgoing mass due to the groundwater recharge/discharge. In this study, analytical solutions for the contaminant transport equations of WETSAND are developed and compared to the numerical solutions obtained by WETSAND. These analytical solutions provide a physical insight to wetland water quality. Results show that analytical solutions are in good agreement with the numerical solutions. Moreover, the effect of interactions on wetland water quality is discussed.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The author would like to express her gratitude to the anonymous reviewers, the Associate Editor and the Editor for their excellent suggestions, which strengthened the paper.
References
Bolster, C. H., and Saiers, J. E. (2002). “Development and evaluation of a mathematical model for surface-water flow within the Shark River Slough of the Florida Everglades.” J. Hydrol., 259(1–4), 221–235.
Chen, J. S., Chen, J. T., Liu, C. W., Liang, C. P., and Lin, C. W. (2011a). “Analytical solutions to two-dimensional advection–dispersion equation in cylindrical coordinates in finite domain subject to first- and third-type inlet boundary conditions.” J. Hydrol., 405(3–4), 522–531.
Chen, J. S., Lai, K. H., Liu, C. W., and Ni, C. F. (2012a). “A novel method for analytically solving multi-species advective-dispersive transport equations sequentially coupled with first-order decay reactions.” J. Hydrol., 420–421(14), 191–204.
Chen, J. S., Liu, C. W., Liang, C. P., and Lai, K. H. (2012b). “Generalized analytical solutions to sequentially coupled multi-species advective-dispersive transport equations in a finite domain subject to an arbitrary time-dependent source boundary condition.” J. Hydrol., 456–457(16), 101–109.
Chen, J. S., Liu, Y. H., Liang, C. P., Liu, C. W., and Lin, C. W. (2011b). “Exact analytical solutions for two-dimensional advection–dispersion equation in cylindrical coordinates subject to third-type inlet boundary condition.” Adv. Water Resour., 34(3), 365–374.
Choi, J., and Harvey, J. W. (2000). “Quantifying time-varying ground-water discharge and recharge in wetlands of the northern Florida Everglades.” Wetlands, 20(3), 500–511.
Chu, S. T. (1978). “Infiltration during an unsteady rain.” Water Resour. Res., 14(3), 461–466.
Crowe, A. S., Shikaze, S. G., and Ptacek, C. J. (2004). “Numerical modelling of groundwater flow and contaminant transport to Point Pelee Marsh, Ontario, Canada.” Hydrol. Process., 18(2), 293–314.
De Smedt, F., and Brevis, W., and Debels, P. (2005). “Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage.” J. Hydrol., 315(1–4), 25–39.
Devito, K. J., and Hill, A. R. (1997). “Sulphate dynamics in relation to groundwater-surface water interactions in headwater wetlands of the southern Canadian Shield.” Hydrol. Process., 11(5), 485–500.
Giraldi, D., de Michieli Vitturi, M., and Iannelli, R. (2010). “FITOVERT: A dynamic numerical model of subsurface vertical flow constructed wetlands.” Environ. Modell. Softw., 25(5), 633–640.
Guerrero, J. S. P., Pontedeiro, E. M., van Genuchten, M. Th., and Skaggs, T. H. (2013). “Analytical solutions of the one-dimensional advection–dispersion solute transport equation subject to time-dependent boundary conditions.” Chem. Eng. J., 221, 487–491.
Harvey, J. W., Newlin, J. T., and Krupa, S. L. (2006). “Modeling decadal timescale interactions between surface water and ground water in the Central Everglades, Florida, U.S.” J. Hydrol., 320(3–4), 400–420.
Hays, J. R., Krenkel, P. A., and Schnelle, K. B. (1966). “Mass transport mechanisms in open-channel flow.”, Vanderbilt Univ., Nashville, TN, 138.
He, A., Wu, W., and Wang, S. S. Y. (2008). “Coupled finite-volume model for 2D surface and 3D subsurface flows.” J. Hydrol. Eng., 835–845.
Herron, N., and Croke, B. (2009). “Including the influence of groundwater exchanges in a lumped rainfall-runoff model.” Math. Comput. Simul., 79(9), 2689–2700.
Huber, W. C., and Dickinson, R. E. (1988). Storm water management model, version 4, user’s manual, Environmental Research Laboratory, Office of Research and Development, U.S. EPA, Athens, GA.
Hughes, D. A., Kapangaziwiri, E., and Baker, K. (2010). “Initial evaluation of a simple coupled surface and ground water hydrological model to assess sustainable ground water abstractions at the regional scale.” Hydrol. Res., 41(1), 1–12.
Kadlec, R. H., and Knight, R. L. (1996). Treatment wetlands, CRC Press, Boca Raton, FL.
Kazezyılmaz-Alhan, C. M. (2008). “Analytical solutions for contaminant transport in streams.” J. Hydrol., 348(3), 524–534.
Kazezyılmaz-Alhan, C. M., Medina, M. A. Jr., and Richardson, C. J. (2007). “A wetland hydrology and water quality model incorporating surface water/groundwater interactions.” Water Resour. Res., 43(4), W04434.
Keefe, S. H., Barber, L. B., Runkel, R. L., Ryan, J. N., McKnight, D. M., and Wass, R. D. (2004). “Conservative and reactive solute transport in constructed wetlands.” Water Resour. Res., 40(1), W01201.
Krasnostein, A. L., and Oldham, C. E. (2004). “Predicting wetland water storage.” Water Resour. Res., 40(10), W10203.
Langergraber, G., et al. (2009). “Recent developments in numerical modeling of subsurface flow constructed wetlands.” Sci. Total Environ., 407(13), 3931–3943.
Meselhe, E. A., Arceneaux, J. C., and Waldon, M. G. (2010). “Water budget model for a remnant northern Everglades wetland.” J. Hydraul. Res., 48(1), 100–105.
Min, J. H., and Wise, W. R. (2010). “Depth-averaged, spatially distributed flow dynamic and solute transport modeling of a large-scaled, subtropical constructed wetland.” Hydrol. Process., 24(19), 2724–2737.
Mitchell, G. F., Hunt, C. L., and Su, Y. M. (2002). “Mitigating highway runoff constituents via a wetland.” Soil Mech. Transp. Res. Rec., 1808(1), 127–133.
Mitsch, W. J., and Gosselink, J. G. (2000). Wetlands, 3rd Ed., Wiley, New York.
Moiwo, J. P., Lu, W., Zhao, Y., Yang, Y., and Yang, Y. (2010). “Impact of land use on distributed hydrological processes in the semi-arid wetland ecosystem Western Jilin.” Hydrol. Process., 24(4), 492–503.
Moore, M. T., Schulz, R., Cooper, C. M., and Rodgers, J. H. (2002). “Mitigation of chlorpyrifos runoff using constructed wetlands.” Chemosphere, 46(6), 827–835.
Nilsson, K. A., Trout, K. E., and Ross, M. A. (2010). “General model to represent multiple wetland and lake stage-storage behavior.” J. Hydrol. Eng., 786–795.
Ozelim, L. C. D. S., and Cavalcante, A. L. B. (2013). “Integral and closed-form analytical solutions to the transport contaminant equation considering 3D advection and dispersion.” Int. J. Geomech., 686–691.
Rossman, L. A. (2010). “Storm water management model, user’s manual, version 5.”, Water Supply and Water Resources Division National Risk Management Research Laboratory, U.S. EPA, Cincinnati, OH.
Schmid, B. H. (1995). “On the transient storage equations for longitudinal solute transport in open channels: Temporal moments accounting for the effects of first-order decay.” J. Hydraulic Res., 33(5), 595–610.
Schmid, B. H. (1997). “Analytical solution of the transient storage equations accounting for solute decay.” Proc. of Theme B, Water for a changing Global Community. 27th Congress of the Int. Assoc. for Hydraulic Research. Water Resources Engineering Division/ASCE, Thomas Telford, London, 15–20.
Sudicky, E. A., Hwang, H. T., Illman, W. A., Wu, Y. S., Kool, J. B., and Huyakorn, P. (2013). “A semi-analytical solution for simulating contaminant transport subject to chain-decay reactions.” J. Contam. Hydrol., 144(1), 20–45.
Thornthwaite, C. W. (1948). “An approach toward a rational classification of climate.” Am. Geogr. Rev., 38(1), 55–94.
van Genuchten, M. T., Leij, F. J., Skaggs, T. H., Toride, N., Bradford, S. A., and Pontedeiro, E. M. (2013a). “Exact analytical solutions for contaminant transport in rivers 1. The equilibrium advection-dispersion equation.” J. Hydrol. Hydromech., 61(2), 146–160.
van Genuchten, M. T., Leij, F. J., Skaggs, T. H., Toride, N., Bradford, S. A., and Pontedeiro, E. M. (2013b). “Exact analytical solutions for contaminant transport in rivers 2. Transient storage and decay chain solutions.” J. Hydrol. Hydromech., 61(3), 250–259.
van Genuchten, M. Th. (1985). “Convective-dispersive transport of solutes involved in sequential first-order decay reactions.” Comput. Geosci., 11(2), 129–147.
Warren, F. J., Waddington, J. M., Bourbonniere, R. A., and Day, S. M. (2001). “Effect of drought on hydrology and sulphate dynamics in a temperate swamp.” Hydrol. Process., 15(16), 3133–3150.
Winter, T. C., and Rosenberry, D. O. (1995). “The interaction of ground water with prairie pathole wetlands in the Cottonwood Lake area, East-Central North Dakota, 1979–1990.” Wetlands, 15(3), 193–211.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 2, 2013
Accepted: May 30, 2014
Published online: Aug 13, 2014
Discussion open until: Jan 13, 2015
Published in print: Apr 1, 2015
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.