Surface storage dynamics in large rivers: Comparing three-dimensional particle transport, one-dimensional fractional derivative, and multirate transient storage models

Water Resources Research

Volumn 47, Issue 9, 2011, Pages

  Anderson, Eric J ^a   Phanikumar, Mantha S ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

1-D MODELS; BIOGEOCHEMICAL CYCLE; BREAK THROUGH CURVE; COMPLEX DYNAMICS; DYE TRACER STUDIES; EXCHANGE COEFFICIENTS; EXCHANGE RATES; FIRST-ORDER; FRACTIONAL DERIVATIVE MODEL; FRACTIONAL DERIVATIVES; HYPORHEIC EXCHANGE; IN-CHANNELS; LARGE RIVERS; MULTI RATE; MULTI-MODAL; NUTRIENT TRANSPORT; NUTRIENT UPTAKE; PARTICLE TRANSPORT; SOLUTE TRANSPORT MODEL; STORAGE ZONES; SURFACE STORAGE; THREE-DIMENSIONAL HYDRODYNAMIC MODELS; TRANSIENT STORAGE; TRANSIENT STORAGE MODEL; TRANSPORT DYNAMICS;

ANOXIC SEDIMENTS; BIOGEOCHEMISTRY; DYNAMICS; MODELS; NUTRIENTS; PARTICLE SEPARATORS; RIVERS; SOLUTE TRANSPORT; STREAM FLOW;

THREE DIMENSIONAL;

BIOGEOCHEMICAL CYCLE; CALIBRATION; COMPARATIVE STUDY; DATA SET; DYE; HYDRODYNAMICS; HYDROLOGICAL MODELING; HYPORHEIC ZONE; ISLAND; MEANDER; NUTRIENT UPTAKE; ONE-DIMENSIONAL MODELING; PARTICLE MOTION; RIVER WATER; SANDBAR; SEDIMENT TRANSPORT; SOLUTE TRANSPORT; THREE-DIMENSIONAL MODELING; TRACER; WATER STORAGE;

SAINT CLAIR RIVER;

EID: 80052779810     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR010228     Document Type: Article

References (56)

1. Anderson, E. J., and D. J. Schwab (2011), Relationships between winddriven and hydraulic flow in Lake St. Clair and the St. Clair River Delta, J. Great Lakes Res., 37, 147-158.
2. Anderson, E. J., D. J. Schwab, and G. A. Lang (2010), Real-time hydraulic and hydrodynamic model of the St. Clair River, Lake St. Clair, Detroit River system, J. Hydraul. Eng., 136(8), 507-518.
3. Baeumer, B., M. M. Meerschaert, and E. Nane (2009), Space-time duality for fractional diffusion, J. Appl. Prob., 46(4), 1100-1115.
4. Basagaoglu, H., T. R. Ginn, C. T. Green, and B. J. McCoy (2002), Transport in heterogeneous media: Tracer dynamics in complex flow networks, AIChE J., 48(5), 1121-1131. (Pubitemid 36173056)
5. Bencala, K. E., and R. A. Walters (1983), Simulation of solute transport in a mountain pool-and-riffle stream-A transient storage model, Water Resour. Res., 19(3), 718-724, doi:10.1029/WR019i003p00718. (Pubitemid 15253320)
6. Benson, D. A. (1998), The fractional advection-dispersion equation: Development and application, Ph.D. thesis, University of Nevada, Reno.
7. Berkowitz, B., J. Klafter, R. Metzler, and H. Scher (2002), Physical pictures of transport in heterogeneous media: Advection-dispersion, randomwalk, and fractional derivative formulations, Water Resour. Res., 38(10), 1191, doi:10.1029/2001WR001030.
8. Berkowitz, B., A. Cortis, M. Dentz, and H. Scher (2006), Modeling non- Fickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44(2), RG2003, doi:10.1029/2005RG000178. (Pubitemid 46044201)
9. Boano, F., A. I. Packman, A. Cortis, R. Revelli, and L. Ridolfi (2007), A continuous time random walk approach to the stream transport of solutes, Water Resour. Res., 43(10), W10425, doi:10.1029/2007WR006062. (Pubitemid 350210172)
10. Bradley, D. N., G. E. Tucker, and D. A. Benson (2010), Fractional dispersion in a sand bed river, J. Geophys. Res., 115, F00A09, doi:10.1029/ 2009JF001268.
11. Briggs, M. A., M. N. Gooseff, C. D. Arp, and M. A. Baker (2009), A method for estimating surface transient storage parameters for streams with concurrent hyporheic storage, Water Resour. Res., 45, W00D27, doi:10.1029/2008WR006959.
12. Briggs, M. A., M. N. Gooseff, B. J. Peterson, K. Morkeski, W. M. Wollheim, and C. S. Hopkinson (2010), Surface and hyporheic transient storage dynamics throughout a coastal stream network, Water Resour. Res., 46, W06516, doi:10.1029/2009WR008222.
13. Burnham, K. E., and D. R. Anderson (1998), Model Selection and Inference: A Practical Information-Theoretic Approach, Springer, Telos.
14. Chakraborty, P., M. M. Meerschaert, and C. Y. Lim (2009), Parameter estimation for fractional transport : A particle-tracking approach, Water Resour. Res., 45, W10415, doi:10.1029/2008WR007577.
15. Chen, C., R. C. Beardsley, and G. Cowles (2006), An Unstructured Grid, Finite- Volume Coastal Ocean Model: FVCOM User Manual, Rep. SMAST/UMASSD-06- 0602, 321 pp, Dartmouth, MA.
16. Church, M. (1992), Channel morphology and topology, in The Rivers Handbook, edited by C. Calow and G. Petts, 2, 126-143, Blackwell, Oxford.
17. D'Angelo, D. J., J. R. Webster, S. V. Gregory, and J. L. Meyer (1993), Transient storage in Appalachian and Cascade mountain streams as related to hydraulic characteristics, J. North Am. Benthol. Soc., 12(3), 223-235.
18. Deng, Z. Q., and H. S. Jung (2009), Variable residence time-based model for solute transport in streams, Water Resour. Res., 45, W03415, doi:10.1029/2008WR007000.
19. Deng, Z. Q., V. P. Singh, and L. Bengtsson (2004), Numerical solution of fractional advection-dispersion equation, J. Hydraul. Eng., 130(5), 422-431. (Pubitemid 38554545)
20. Deng, Z. Q., L. Bengtsson, and V. P. Singh (2006), Parameter estimation for fractional dispersion model for rivers, Environ. Fluid Mech., 6(5), 451-475. (Pubitemid 44473200)
21. Deng, Z. Q., H. S. Jung, and B. Ghimire (2010), Effect of channel size on solute residence time distributions in rivers, Adv. Water Resour., 33(9), 1118-1127.
22. De Smedt, F., W. Brevis, and P. Debels (2005), Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage, J. Hydrol., 315, 25-39. (Pubitemid 41719064)
23. Fernald, A. G., D. H. Landers, and P. J. Wigington (2006), Water quality changes in hyporheic flow paths between a large gravel bed river and off-channel alcoves in Oregon, USA, River Res. Appl., 22(10), 1111-1124. (Pubitemid 44970844)
24. Ganti, V., M. M. Meerschaert, E. Foufoula-Georgiou, E. Viparelli, and G. Parker (2010), Normal and anomalous diffusion of gravel tracer particles in rivers, J. Geophys. Res., 115, F00A12, doi:10.1029/ 2008JF001222.
25. García, C. M., K. Oberg, and M. H. García (2007), ADCP Measurements of Gravity Currents in the Chicago River, Illinois, J. Hydraul. Eng., 133(12), 1356-1366. (Pubitemid 350162752)
26. Gillespie, J. L., and D. B. Dumouchelle (1989), Ground-water flow and quality near the upper Great Lakes connecting channels, Michigan, Rep., 89 pp, U.S. Geological Survey Water Resources Investigations Report 88-4232, Lansing, Michigan.
27. Gooseff, M. N., J. LaNier, R. Haggerty, and K. Kokkeler (2005), Determining in-channel (dead zone) transient storage by comparing solute transport in a bedrock channel-alluvial channel sequence, Oregon, Water Resour. Res., 41(6), W06014, doi:10.1029/2004WR003513. (Pubitemid 41004223)
28. Gooseff, M. N., R. O. Hall, and J. L. Tank (2007), Relating transient storage to channel complexity in streams of varying land use in Jackson Hole, Wyoming, Water Resour. Res., 43(1), W01417, doi:10.1029/2005WR 004626.
29. Haggerty, R., and S.M. Gorelick (1995), Multiple-rate mass-transfer for modeling diffusion and surface-reactions in media with pore-scale heterogeneity, Water Resour. Res., 31(10), 2383-2400, doi:10.1029/95WR10583. (Pubitemid 26475182)
30. Haggerty, R., S. A. McKenna, and L. C. Meigs (2000), On the late-time behavior of tracer test breakthrough curves, Water Resour. Res., 36(12), 3467-3479, doi:10.1029/2000WR900214. (Pubitemid 32039902)
31. Holtschlag, D. J., and J. A. Koschik (2002), A Two-Dimensional Hydrodynamic Model of the St. Clair-Detroit River Waterway in the Great Lakes Basin, Rep. 01-4236, 63 pp, USGS, Lansing, Michigan.
32. Houser, J. N., D. W. Bierman, R. M. Burdis, and L. A. Soeken-Gittinger (2010), Longitudinal trends and discontinuities in nutrients, chlorophyll, and suspended solids in the Upper Mississippi River: Implications for transport, processing, and export by large rivers, Hydrobiologia, 651(1), 127-144.
33. Kadlec, R. H. (1994), Detention and mixing in free-water wetlands, Ecol. Eng., 3(4), 345-380.
34. Marion, A., and M. Zaramella (2006), Effects of velocity gradients and secondary flow on the dispersion of solutes in a meandering channel, J. Hydraul. Eng., 132(12), 1295-1302. (Pubitemid 44768269)
35. Marion, A., M. Zaramella, and A. Bottacin-Busolin (2008), Solute transport in rivers with multiple storage zones: The STIR model, Water Resour. Res., 44(10), W10406, doi:10.1029/2008WR007037.
36. Neal, J., G. Schumann, P. Bates,W. Buytaert, P.Matgen, and F. Pappenberger (2009), A data assimilation approach to discharge estimation from space, Hydrol. Processes, 23(25), 3641-3649.
37. Parsons, D. R., J. L. Best, S. N. Lane, O. Orfeo, R. J. Hardy, and R. Kostaschuk (2007), Form roughness and the absence of secondary flow in a large confluence-diffluence, Rio Parana, Argentina, Earth Surf. Processes Landforms, 32(1), 155-162. (Pubitemid 46139518)
38. Phanikumar, M. S., and J. T. McGuire (2010), A multi-species reactive transport model to estimate biogeochemical rates based on single-well push-pull test data, Comput. Geosci., 36(8), 997-1004.
39. Phanikumar, M. S., I. Aslam, C. P. Shen, D. T. Long, and T. C. Voice (2007), Separating surface storage from hyporheic retention in natural streams using wavelet decomposition of acoustic Doppler current profiles, Water Resour. Res., 43(5), W05406, doi:10.1029/2006WR005104. (Pubitemid 47007564)
40. Pope, S. B. (2000), Turbulent Flows, pp 806, Cambridge University Press, New York.
41. Runkel, R. L. (1998), One-dimensional transport with inflow and storage (OTIS): A solute transport model for streams and rivers, Rep. Water Resour. Invest. Rep. 98-4018, 73 pp, US Dept. of the Interior, US Geological Survey.
42. Runkel, R. L., D. M. McKnight, and E. D. Andrews (1998), Analysis of transient storage subject to unsteady flow: diel flow variation in an Antarctic stream, J. North Am. Benthol. Soc., 17(2), 143-154. (Pubitemid 28378598)
43. Salehin, M., A. I. Packman, and A. Worman (2003), Comparison of transient storage in vegetated and unvegetated reaches of a small agricultural stream in Sweden: seasonal variation and anthropogenic manipulation, Adv. Water Resour., 26(9), 951-964. (Pubitemid 37074129)
44. Schmid, B. H. (2003), Temporal moments routing in streams and rivers with transient storage, Adv. Water Resour., 26(9), 1021-1027. (Pubitemid 37074134)
45. Schmid, B. H. (2004), Simplification in longitudinal transport modeling: case of instantaneous slug releases, J. Hydrol. Eng., 9(4), 319-324. (Pubitemid 38945845)
46. Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer (2003), Fractal mobile/immobile solute transport, Water Resour. Res., 39(10), 1296, doi:10.1029/2003WR002141.
47. Shen, C., and M. S. Phanikumar (2009), An efficient space-fractional dispersion approximation for stream solute transport modeling, Adv. Water Resour., 32(10), 1482-1494.
48. Shen, C., M. S. Phanikumar, T. T. Fong, I. Aslam, S. P. McElmurry, S. L. Molloy, and J. B. Rose (2008), Evaluating bacteriophage P22 as a tracer in a complex surface water system: The Grand River, Michigan, Environ. Sci. Technol., 42(7), 2426-2431. (Pubitemid 351482909)
49. Shen, C., J. Niu, E. J. Anderson, and M. S. Phanikumar (2010), Estimating longitudinal dispersion in rivers using Acoustic Doppler Current Profilers, Adv. Water Resour., 33(6), 615-623.
50. Silva, O., J. Carrera, M. Dentz, S. Kumar, A. Alcolea, and M. Willmann (2009), A general real-time formulation for multi-rate mass transfer problems, Hydrol. Earth Syst. Sci. 13(8), 1399-1411.
51. Smith, A. J., and C. P. Tran (2010), A weight-of-evidence approach to define nutrient criteria protective of aquatic life in large rivers, J. North Am. Benthol. Soc., 29(3), 875-891.
52. Smith, L. C., and T.M. Pavelsky (2008), Estimation of river discharge, propagation speed, and hydraulic geometry from space: Lena River, Siberia, Water Resour. Res., 44(3), W03427, doi:10.1029/2007WR006133. (Pubitemid 351628557)
53. Tank, J. L., E. J. Rosi-Marshall, M. A. Baker, and R. O. Hall (2008), Are rivers just big streams? A pulse method to quantify nitrogen demand in a large river, Ecology, 89(10), 2935-2945.
54. Wheatcraft, S. W., and M. M. Meerschaert (2008), Fractional conservation of mass, Adv Water Resour., 31(10), 1377-1381.
55. Worman, A. (2000), Comparison of models for transient storage of solutes in small streams, Water Resour. Res., 36(2), 455-468, doi:10.1029/ 1999WR900281. (Pubitemid 30065542)
56. Zhang, Y., D. A. Benson, and D. M. Reeves (2009), Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications, Adv. Water Resour., 32, 561-581.