Analytic Solutions to Transient Storage Models

Analytic solutions to transient storage models

Nordin, C. F., Troutman, B. M. Longitudinal dispersion in rivers: The persistence of skewness in observed data (1980) Water Resources Research 16 (1), pp.123-128.

Schmid, B. H. On the transient storage equations for longitudinal solute transport in open channels: temporal moments accounting for the effects of first-order decay (1995) Journal of Hydraulic Research/De Recherches Hydrauliques, 33 (5), pp. 595-610.

Schmid, B. H. Analytic solution of the transient storage equations accounting for solute decay. (1997) IAHR-Congress, San Francisco, Aug. 1997. Environmental and Coastal Hydraulics: Protecting the Aquatic Habitat, Proc. of Theme B, vol. 1, pp. 15-20.

Schmid, B.H. Persistence of skewness in longitudinal dispersion data: Can the dead zone model explain it after all? (2002) Journal of Hydraulic Engineering, 128 (9), pp. 848-854.

Schmid, B.H. Temporal moments routing in streams and rivers with transient storage (2003) Advances in Water Resources, 26 (9), pp. 1021-1027.

Schmid, B.H. Simplification in longitudinal transport modeling: Case of instantaneous slug releases (2004) Journal of Hydrologic Engineering, 9 (4), pp. 319-324.

Hart, D.R. Parameter estimation and stochastic interpretation of the transient storage model for solute transport in streams (1995) Water Resources Research, 31 (2), pp.323-328.

Seo, I.W., Cheong, T.S. Moment-based calculation of parameters for the storage zone model for river dispersion (2001) Journal of Hydraulic Engineering, 127(6), pp.453-465.

De Smedt, F., Brevis, W., Debels, P. Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage (2005) Journal of Hydrology, 315 (1-4), pp. 25-39.

De Smedt, F. Analytical solutions for transport of decaying solutes in rivers with transient storage (2006) Journal of Hydrology, 330 (3-4), pp. 672-680.

De Smedt, F., Brevis, W., Debels, P. Reply to comment: "Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage" by F. De Smedt, W. Brevis, and P. Debels, 2005. Journal of Hydrology 315, 25-39. (2006) Journal of Hydrology, 330 (3-4), pp. 761-762.

of 2 De Smedt, F., Brevis, W., Debels, P. Reply to comment: "Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage" by F. De Smedt, W. Brevis, and P. Debels, 2005. Journal of Hydrology 315, 25-39. (2007) Journal of Hydrology, 338 (1-2), pp. 149-151.

De Smedt, F. Analytical solution and analysis of solute transport in rivers affected by diffusive transfer in the hyporheic zone (2007) Journal of Hydrology, 339 (1-2), pp. 29-38.

Kazezyilmaz-Alhan,C.M. Analytical solutions for contaminant transport in streams (2008) Journal of Hydrology 348 (3-4), pp. 524-534.

Kumar, A., Dalal, D.C. Analysis of solute transport in rivers with transient storage and lateral inflow: An analytical study (2010) Acta Geophysica 58 (6), pp. 1094-1114

Qiu, Y., Deng, B., and Kim, C.N., Analytical Solution for Spatially Dependent Solute Transport in Streams with Storage Zone (2011) Journal of Hydrologic Engineering 16, p.689 doi:10.1061/(ASCE)HE.1943-5584.0000358.

Compiled by Ken Bencala, August 12, 2011 [email protected] Transient Storage related information at: http://water.usgs.gov/software/OTIS/addl/