TECHNICAL NOTES
Dec 10, 2010

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

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 16Issue 8August 2011
Pages: 689 - 694

History

Received: May 6, 2010
Accepted: Dec 8, 2010
Published online: Dec 10, 2010
Published in print: Aug 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Yinfeng Qiu
School of Environment and Architecture, Univ. of Shanghai for Science and Technology, Shanghai 200093, P. R. China.
Baoqing Deng [email protected]
School of Environment and Architecture, Univ. of Shanghai for Science and Technology, Shanghai 200093, P. R. China (corresponding author). E-mail: [email protected]
Chang Nyung Kim
College of Advanced Technology, Kyung Hee Univ., Yongin 446-701, Korea.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share