Analytical solutions to hillslope subsurface storm flow and saturation overland flow

Water Resources Research

Volumn 34, Issue 4, 1998, Pages 921-927

  Fan, Ying ^a   Bras, Rafael L ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SOIL MOISTURE; STORMS; WAVE EQUATIONS;

DARCY'S LAW; DIFFERENT SLOPES; HILLSLOPES; METHOD OF CHARACTERISTICS; OVERLAND FLOW; QUASI-LINEAR; SOIL MANTLE; SUBSURFACE STORM FLOWS;

FLOW OF FLUIDS;

HILL; OVERLAND FLOW; STORM;

HILLSLOPE; OVERLAND FLOW; STORM FLOW;

EID: 0031922479     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1029/97WR03516     Document Type: Article

References (25)

1. Anderson, M. G., T. P. Burt, The role of topography in controlling throughflow generation, Earth Surf. Processes, 3, 331-344, 1978.
2. Bear, J., Dynamics of Fluids in Porous Media, 764, Dover, New York, 1972.
3. Befani, A. N., Bases of the theory of storm runoff (in Russian), Tr. Odess. Gidrometeorol. Inst., no. IV), 1949. (English translation in Hydrological Forecasting, Isr. Program of Sci. Transl., Jerusalem,1964).
4. Beston, R. P., J. B. Marius, Source area of storm runoff, Water Resour. Res., 5 (3), 574-582, 1969.
5. Beven, K. J., Kinematic subsurface stormflow, Water Resour. Res., 17 (5), 1419-1424, 1981.
6. Campbell, S. Y., J. Y. Parlange, C. W. Rose, Overland flow on converging and diverging surfaces-kinematic model and similarity solutions, J. Hydrol., 67, 367-374, 1984.
7. Dunne, T., R. D. Black, An experimental investigation of runoff production in permeable soils, Water Resour. Res., 6 (2), 478-490, 1970.
8. Freeze, R. A., Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin, Water Resour. Res., 7 (2), 347-366, 1971.
9. Giraldez, J. V., D. A. Woolhiser, Analytical integration of the kinematic equation for runoff on a plane under constant rainfall rate and Smith-Parlange infiltration, Water Resour. Res., 32 (11), 3385-3389, 1996.
10. Henderson, F. M., R. A. Wooding, Overland flow and groundwater flow from a steady rainfall of finite duration, J. Geophys. Res., 69 (8), 1531-1540, 1964.
11. Kanamaru, S., On the simplification of the natural shape of hillside for runoff estimation (in Japanese with English abstract), Trans. Jpn. Soc. Civ. Eng., 73, 7-12, 1961.
12. Kirkby, M., A runoff simulation model based on hillslope topography, Scale Problems in Hydrology, V. K. Gupta, et al., 39-56, D. Reidel, Norwell, Mass., 1986.
13. Logan, J. D., Applied Mathematics: A Contemporary Approach, 572, John Wiley, New York, 1987.
14. Moore, I. D., Kinematic overland flow: Generalization of Rose's approximate solution, J. Hydrol., 82, 233-245, 1985.
15. Moore, I. D., R. B. Grayson, Terrain-based prediction of runoff with vector elevation data, Water Resour. Res., 27 (6), 1177-1191, 1991.
16. Onstad, C. A., D. L. Brakensiek, Watershed simulation by stream path analogy, Water Resour. Res., 4 (5), 965-971, 1968.
17. Parlange, J. Y., C. W. Rose, G. C. Sander, Kinematic flow approximation of runoff on a plane: An exact solution, J. Hydrol., 52, 171-176, 1981.
18. Rose, C. W., J. Y. Parlange, G. C. Sander, S. Y. Campbell, D. A. Barry, Kinematic flow approximation to runoff on a plane: An approximate analytic solution, J. Hydrol., 62, 363-369, 1983.
19. Singh, V. P., D. A. Woolhiser, A nonlinear kinematic wave model for watershed surface runoff, J. Hydrol., 31, 221-243, 1976.
20. Smith, R. E., R. H. B. Hebbert, Mathematical simulation of interdependent surface and subsurface hydrologic processes, Water Resour. Res., 19 (4), 987-1001, 1983.
21. Smith, R. E., J. Y. Parlange, A parameter-efficient hydrologic infiltration model, Water Resour. Res., 14, 533-538, 1978.
22. Takasao, T., M. Shiba, Incorporation of the effect of concentration of flow into the kinematic wave equations and its applications to runoff system lumping, J. Hydrol., 102, 301-322, 1988.
23. Tarboton, D. G., A new method for the delineation of flow directions and upslope areas in grid digital elevation models, Water Resour. Res., 33 (2), 309-319, 1997.
24. Velikanov, M. A., Formation of storm floods (in Russian), Dokl. Akad. Nauk. SSSR Nov. Ser., 19, 85-88, 1945. (English translation in Hydrological Forecasting, Isr. Program of Sci. Transl., Jerusalem,1964.).
25. Woolhiser, D. A., Overland flow on a converging surface, Trans. Am. Soc. Agric. Eng., 12 (4), 460-462, 1969.