Nonlinear kinematic dispersion in channel network response and scale effects: Application of the meta-channel concept

Advances in Water Resources

Volumn 27, Issue 2, 2004, Pages 141-154

  Snell, John ^a   Sivapalan, Murugesu ^a   Bates, Bryson ^b  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b CSIRO   (Australia)

Author keywords

Channel network hydrodynamics; Kinematic dispersion; Meta channel; Nonlinearity; Scale effects; Unit hydrographs

Indexed keywords

CATCHMENTS; GEOMORPHOLOGY; HYDRAULICS; MATHEMATICAL MODELS; RAIN; RUNOFF;

CHANNEL NETWORK RESPONSE; META-CHANNEL CONCEPT; NONLINEAR KINETIC DISPERSION;

CHANNEL FLOW;

CHANNEL FLOW; DISPERSION; KINEMATICS; ROUTING; RUNOFF;

CHANNEL FLOW; DISPERSION; KINEMATICS; NUMERICAL MODEL; ROUTING; RUNOFF;

EID: 1342331097     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2003.11.003     Document Type: Article

References (22)

1. Bates B.C. Sivapalan M. A generalized diffusion wave flood routing model Chang H.H. Hill J.C. Hydraulic Engineering, Proceedings of the 1990 National Conference vol. 1 1990 545-550 Am. Soc. Civ. Engrs. (Hydraul. Div.) New York
2. Gupta V.K. Waymire E. Spatial variability and scale invariance in hydrologic regionalization Sposito G. Scale Dependence and Scale Invariance in Hydrology 1998 88-135 Cambridge University Press Cambridge
3. Gupta V.K. Waymire E. Wang C.T. A representation of instantaneous unit hydrograph from geomorphology Water Resour. Res. 16 5 1980 855-862
4. Kirshen D.M. Bras R.L. The linear channel and its effect on the geomorphologic IUH J. Hydrol. 65 1983 175-208
5. Lee M.T. Delleur J.W. A variable source area model of the rainfall-runoff process based on the watershed stream network Water Resour. Res. 12 1976 1029-1036
6. Leopold LB, Maddock T. The hydraulic geometry of stream channels and some physiographic implications. U.S. Geol. Survey Prof. Pap., 252, 1953. p. 1-57
7. Mesa O.J. Mifflin E.R. On the relative role of hillslope and network geometry in hydrologic response Gupta V.K. Rodriguez-Iturbe I. Wood E.F. Scale Problems in Hydrology 1986 1-17 D. Reidel Publ. Co.
8. Naden P.S. Spatial variability in flood estimation for large catchments: the exploitation of channel network structure Hydrol. Sci. J. 37 1 1992 53-71
9. Reggiani P. Sivapalan M. Hassanizadeh S.M. Gray W.G. Coupled equations for mass and momentum balance in a stream network: Theoretical derivation and computational experiments Proc. Royal Soc. (Lond.), Series A: Math. Phys. Eng. Sci. 457 2001 157-189
10. Rinaldo A. Marani A. Rigon R. Geomorphological dispersion Water Resour. Res. 27 4 1991 513-525
11. Rinaldo A. Vogel G.K. Rigon R. Rodriguez-Iturbe I. Can one gauge the shape of a basin? Water Resour. Res. 31 4 1995 1119-1127
12. Robinson J.S. Sivapalan M. Snell J.D. On the relative roles of hillslope processes, channel routing and network geomorphology in the hydrologic response on natural catchments Water Resour. Res. 31 12 1995 3089-3101
13. Rodriguez-Iturbe I. Valdes J.B. The geomorphologic structure of hydrologic response Water Resour. Res. 15 5 1979 1409-1420
14. Saco P.M. Kumar P. Kinematic dispersion in stream networks. 1. Coupling hydraulic and network geometry Water Resour. Res. 38 11 2002 1244
15. Sivapalan M. Bates B.C. Larsen J.E. Generalized nonlinear diffusive wave equation: theoretical development and application J. Hydrol. 192 1-4 1997 1-16
16. Sivapalan M. Jothityangkoon C. Menabde M. Linearity and nonlinearity of basin response as a function of scale: a discussion of alternative definitions Water Resour. Res. 38 2 2002 4.1-4.5
17. Snell JD. A physically-based representation of channel network response: an integration of geomorphology, hydraulic geometry, and channel hydraulics. Ph.D Thesis, Dept. Env. Eng., Centre for Water Research, Univ. of West. Australia, 1996
18. Snell J.D. Sivapalan M. On geomorphological dispersion in natural catchments and the geomorphological unit hydrograph Water Resour. Res. 30 7 1994 2311-2323
19. Snell J.D. Sivapalan M. Application of the meta-channel concept: construction of the hydraulic geometry for a natural catchment Hydrol. Process. 9 5/6 1995 485-505
20. Snell JD, Sivapalan M. GMORF: software for the extraction of geomorphological functions from digital elevation models. Tech. Report ED 1090 JS, Centre for Water Research, Univ. of West. Australia, 1996
21. Strelkoff T. Onedimensional equations of openchannel flow J. Hyd. Div., Am. Soc. Civ. Eng. 95 HY3 1969 861-876
22. Valdes J.B. Fiallo Y. Rodriguez-Iturbe I. Rainfall-runoff analysis of the geomorphic IUH Water Resour. Res. 15 6 1979 1421-1434