On the coarse-graining of hydrologic processes with increasing scales

Journal of Hydrology

Volumn 217, Issue 3-4, 1999, Pages 191-202

  Kavvas, M Levent ^a  

^a University of California Davis   (United States)

Author keywords

Catchment hydrodynamics; Equations; Hydrological methods; Mathematical transformations

Indexed keywords

HYDRODYNAMICS; MATHEMATICAL TRANSFORMATIONS; WATERSHEDS;

CATCHMENTS;

HYDROLOGY;

HYDROLOGY; MATHEMATICAL METHOD; SCALE EFFECT;

EID: 0033617115     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(98)00252-2     Document Type: Article

References (33)

1. Avissar R., Pielke R.A. A parameterization of heterogeneous land surfaces for atmospheric numerical models and its impact on regional meteorology. Mon.Wea.Rev. 117:1989;2113-2136.
2. Bear, J., 1979. Hydraulics of Groundwater. McGraw-Hill, New York.
3. Becker, A., 1995. Problems and progress in macroscale hydrological modelling. In: Feddes, R.A. (Ed.), Space and Time Variability and Interdependence in Hydrological Processes. Cambridge University Press, Cambridge, MA.
4. Beven K. Surface water hydrology - runoff generation and basin structure. Rev. Geophys. Space Phys. 21:(3):1983;721-730.
5. Beven, K., 1991. Scale considerations. In: Bowles, D.S., O'Connell, P.E. (Eds.), Recent Advances in the Modeling of Hydrologic Systems. Kluwer, Dordrecht, pp. 357-371.
6. Bloschl, G., 1997. Scaling in hydrologic modelling, paper presented at Workshop W1 of IAHS 5th Scientific Assembly, Rabat, Morocco.
7. Bloschl G., Sivapalan M. Scale issues in hydrological modelling: a review. Hydrological Processes. 9:1995;251-290.
8. Bloschl G., Grayson R.B., Sivapalan M. On the representative elementary area (REA) concept and its utility for distributed rainfall-runoff modelling. Hydrological Processes. 9:1995;313-330.
9. Chen Z.-Q., Govindaraju R.S., Kavvas M.L. Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields: 1. development of models. Water Resour. Res. 30:(2):1994;523-533.
10. Chen Z.-Q., Govindaraju R.S., Kavvas M.L. Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields: 2. numerical simulations. Water Resour. Res. 30:(2):1994;535-548.
11. Chow, V.T., 1959. Open Channel Flow. McGraw-Hill, New York.
12. Chow, V.T., Maidment, D.R., Mays, L.W.,1989. Applied Hydrology. Mc Graw-Hill, New York.
13. Cushman J.H. On unifying the concepts of scale, instrumentation and stochastics in the development of multiphase transport theory. Water Resour. Res. 20:(11):1984;1668-1676.
14. Dagan G. Solute transport in heterogeneous porous formations. J. Fluid Mechanics. 145:1984;151-177.
15. Gardiner, C.W., 1986. Handbook of Stochastic Methods. Springer, New York.
16. Gupta V.K., Waymire E. A statistical analysis of mesoscale rainfall as a random cascade. J.Appl.Meteor. 32:1993;251-267.
17. Govindaraju R.S., Kavvas M.L. Characterization of the rill geometry over straight hillslopes through spatial scales. J.of Hydrology. 130:1992;339-365.
18. Hassanizadeh M., Gray W.G. General averaging equations for multi-phase systems: 1.averaging procedure. Adv. Water Resour. 2:1979;131-144.
19. Horne F.E., Kavvas M.L. Physics of the spatially averaged snowmelt process. J. of Hydrology. 191:1997;179-207.
20. Jenkins, G.M., Watts, D.G., 1971. Spectral analysis and its applications. Holden-Day, San Francisco, CA.
21. Kavvas M.L., Cote L.J., Delleur J.W. J. Hydrol. 32:1977;347-361.
22. Kavvas M.L., Karakas A. On the stochastic theory of solute transport by unsteady and steady groundwater flow in heterogeneous aquifers. J. Hydrol. 179:1996;321-351.
23. Kavvas M.L., Chen Z.Q., Tan L., Soong S.-T., Terakawa A., Yoshitani J., Fukami K. A regional-scale land surface parameterization based on areally-averaged hydrological conservation equations. Hydrological Sci. J. 43:(4):1998;611-631.
24. Kirkby, M.J. (Ed.), 1978. Hillslope Hydrology. Wiley, New York.
25. Kirkham, D., Powers, W.L., 1984. Advanced Soil Physics. R.Krieger, Malabar, FL.
26. Rawls W.J., Brakensiek D.L., Miller N. Green-Ampt infiltration parameters from soils data. ASCE J. Hydraul. Engng. 109:(1):1983;62-70.
27. Russo D., Jury W. A theoretical study of the estimation of the correlation scale in spatially variable fields, 1. Sationary fields. Water Resour. Res. 27:1987;1257-1268.
28. Sivapalan M., Beven K., Wood E.F. On hydrologic similarity, 2. A scaled model of strom runoff production. Water Resour. Res. 23:1987;2266-2278.
29. Tayfur G., Kavvas M.L. Spatially averaged conservation equations for interacting rill-interrill area overland flows. J. Hydraul. Engrg. ASCE. 120:1994;1426-1448.
30. Van Kampen N.G. A cumulant expansion for stochastic linear differential equations. II. Physica. 74:1974;239-247.
31. Wood E.F., Sivapalan M., Beven K. Similarity and scale in catchment storm response. Rev. Geophys. 28:1990;1-18.
32. Woolhiser, D.A., 1975. Simulation of unsteady overland flow. In: Mahmood, K. and Yevjevich, V. (Eds.), Unsteady Flow in Open Channels. Water Resources Publications. Ft.Collins, CO, pp. 485-508.
33. Yen B.C. Open-channel flow equations revisited. J. Engng Mech. Div. ASCE. 99:(EMS5):1973;979-1009.