Analytical Solution for Spatially Dependent Solute Transport in Streams with Storage Zone
Publication: Journal of Hydrologic Engineering
Volume 16, Issue 8
Abstract
The transient storage model with space-variable coefficients is solved by using the generalized integral transform technique (GITT) coupled with Laplace transform method. The spatially dependent flow velocity and solute dispersion are considered in the governing equations of the transient storage model. The correctness and accuracy of the derived analytical solution is verified by comparison with the analytical solution for constant flow velocity and the dispersion coefficient. Some illustrative examples are presented to demonstrate the application of the derived analytical solution. The increasing flow velocity and solute dispersion cause the faster transport of solute. Moreover, the faster the flow velocity and solute dispersion increase, the faster the solute transports.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was supported by the Innovation Program of Shanghai Municipal Education Commission (Grant No. UNSPECIFIED10YZ95).
References
Bencala, K. E. (1984). “Interactions of solutes and streambed sediment 2. A dynamic analysis of coupled hydrologic and chemical processes that determine solute transport.” Water Resour. Res., 20(12), 1804–1814.
Bencala, K. E., and Walters, R. A. (1983). “Simulation of solute transport in a mountain pool-and-riffle stream: A transient storage model.” Water Resour. Res., 19(3), 718–724.
Chen, J. S. (2007). “Two-dimensional power series solution for non-axisymmetrical transport in a radially convergent tracer test with scale-dependent dispersion.” Adv. Water Resour., 30(3), 430–438.
Choi, J., Harvey, J. W., and Conklin, M. H. (2000). “Characterizing multiple timescales of stream and storage zone interaction that affect solute fate and transport in streams.” Water Resour. Res., 36(6), 1511–1518.
De Smedt, F. (2006). “Analytical solutions for transport of decaying solutes in rivers with transient storage.” J. Hydrol. (Amsterdam), 330(3–4), 672–680.
De Smedt, F., Brevis, W., and Debels, P. (2005). “Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage.” J. Hydrol. (Amsterdam), 315(1–4), 25–39.
Fernald, A. G., Wigington, P. J., Jr., and Landers, D. H. (2001). “Transient storage and hyporheic flow along the Willamette River, Oregon: Field measurements and model estimates.” Water Resour. Res., 37(6), 1681–1694.
Hart, D. R. (1995). “Parameter estimation and stochastic interpretation of the transient storage model for solute transport in streams.” Water Resour. Res., 31(2), 323–328.
Jaiswal, D. K., Kumar, A., Kumar, N., and Yadav, R. R. (2009). “Analytical solutions for temporally and spatially dependent solute dispersion of pulse type input concentration in one-dimensional semi-infinite media.” J. Hydro-Environ. Res., 2(4), 254–263.
Kazezyilmaz-Alhan, C. M. (2008). “Analytical solutions for contaminant transport in streams.” J. Hydrol. (Amsterdam), 348(3–4), 524–534.
Logan, J. D. (1996). “Solute transport in porous media with scale-dependent dispersion and periodic boundary conditions.” J. Hydrol. (Amsterdam), 184(3–4), 261–276.
Runkel, R. L. (1998). “One-dimensional transport with inflow and storage (OTIS): A solute transport model for streams and rivers.” U.S. Geol. Surv. Water-Resources Investigation Rept., 98-4018, Washington, DC.
Runkel, R. L., and Chapra, S. C. (1993). “An efficient numerical solution of the transient storage equations for solute transport in small streams.” Water Resour. Res., 29(1), 211–215.
Zoppou, C., and Knight, J. H. (1997). “Analytical solutions for advection and advection-diffusion equations with spatially variable coefficients.” J. Hydraul. Eng., 123(2), 144–148.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: May 6, 2010
Accepted: Dec 8, 2010
Published online: Dec 10, 2010
Published in print: Aug 1, 2011
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.