TECHNICAL PAPERS
Feb 1, 2002

Modeling of Conjunctive Two-Dimensional Surface-Three-Dimensional Subsurface Flows

Publication: Journal of Hydraulic Engineering
Volume 128, Issue 2

Abstract

In the rainfall-runoff process, interaction between surface and subsurface flow components plays an important role, especially in rainwater abstraction and overland flow initiation at the early stage of rainfall events. Coupling of surface and subsurface flow submodels, therefore, is necessary for advanced comprehensive and sophisticated rainfall-runoff simulation. This article presents a conjunctive two-dimensional (2D) surface and three-dimensional (3D) subsurface flow model, which uses the noninertia approximation of the Saint-Venant equations for 2D unsteady surface flow and a modified version of the Richards equation for 3D unsteady unsaturated and saturated subsurface flows. The equations are written in the form of 2D and 3D heat diffusion equations, respectively, and solved numerically. The surface and subsurface flow components are coupled interactively using the common boundary condition of infiltration through the ground surface. The conjunctive model is verified with Smith and Woolhiser’s experimental data (reported in 1971) of initially dry and initially wet soil. Subsequently the model is applied to a hypothetical soil plot of clay or sand to simulate the overland flow, infiltration, and subsurface flow for four different rainfalls. The conjunctive model contributes as a tool for improved detailed simulation of 2D surface and 3D subsurface flows and their interaction.

Get full access to this article

View all available purchase options and get full access to this article.

References

Abbott, M. B., Andersen, J. K., Havnø, K., Jensen, K. H., Kroszynski, U. I., and Warren, I. R. (1982). “Research and development for the unsaturated zone component of the European Hydrologic System—Systeme Hydrologique European (SHE),” in Engineering applications of computational hydraulics, M. B. Abbott and J. A. Cunge, eds., Pitman, London, Vol. 1, 40–70.
Abbott, M. B., Bathurst, J. C., Cunge, J. A., O’Connell, P. E., and Rasmussen, J.(1986). “An introduction to European Hydrological System—Systeme Hydrologique European, SHE, 2: Structure of a physically-based distributed modeling system,” J. Hydrol., 87, 61–77.
Akan, A. O., and Yen, B. C.(1981a). “Mathematical model of shallow water flow over porous media,” J. Hydraul. Div., Am. Soc. Civ. Eng., 107(4), 479–494.
Akan, A. O., and Yen, B. C.(1981b). “Diffusion-wave flood routing in channel networks,” J. Hydraul. Div., Am. Soc. Civ. Eng., 107(6), 719–732.
Akanbi, A. A., and Katopodes, N. D.(1988). “Model for flood propagation on initially dry land,” J. Hydraul. Eng., 114(7), 689–706.
Bathurst, J. C., Wicks, J. M., and O’ Connell, P. E. (1995). “Chapter 16: The SHE/SHESED basin scale water flow and sediment transport modelling system,” in Computer models of watershed hydrology, V. P. Singh, ed., Water Resources, Highlands Ranch, Colo., 563–594.
Bradford, S. F., and Katopodes, N. D.(1998). “Nonhydrostatic model for surface irrigation,” J. Irrig. Drain Eng., 124(4), 200–212.
Di Giammarco, P., Giardino, P. T., Rametta, F., and Todini, E. (1994). “Integrated catchment modeling and meso-scale hydrology,” in Advances in distributed hydrology, edited by R. Rosso, A. Peano, I. Becchi, and G. A. Bemporad, Water Resources, Highland Ranch, Colo., 247–292.
Freeze, R. A.(1972a). “Role of subsurface flow in generating surface runoff: 1. Base flow contribution to channel flow,” Water Resour. Res., 8(3), 609–623.
Freeze, R. A.(1972b). “Role of subsurface flow in generating surface runoff: 2. Upstream source areas,” Water Resour. Res., 8(5), 1272–1283.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice–Hall, Englewood Cliffs, N.J.
Hanks, R. J., and Bower, S. A.(1962). “Numerical solution of the moisture flow equation for infiltration into layered soils,” Soil Sci. Soc. Am. Proc., 26, 530–534.
Horton, R. E.(1933). “The role of infiltration in the hydrologic cycle,” Trans., Am. Geophys. Union, 14, 446–460.
Horton, R. E. (1935). “Surface runoff phenomena,” Horton Hydrological Lab., Voorheesville, N.Y.
Izzard, C. F. (1946). “Hydraulics of runoff from developed surfaces,” Proceedings Highway Research Board, 26, 129–146.
Katopodes, N. D., and Strelkoff, T.(1977). “Hydrodynamics of border irrigation: Complete model,” J. Irrig. Drain. Div. Am. Soc. Civ. Eng.,, 103(3), 309–324.
Larkin, B. K.(1964). “Some stable explicit difference approximation to the diffusion equation,” Math. Comput., 18, 196–202.
Liggett, J. A., and Dillon, P. J. (1985). “A dynamic model of flow exchange between streams and aquifers,” Proc. IAHR 21st Congress, Melbourne, Australia, 1, 17–22.
Morita, M., and Yen, B. C.(2000). “Numerical methods for conjunctive 2-D surface-3-D subsurface flow model,” Int. J. Numer. Methods Fluids, 32 (8) 921–957.
Philip, J. R.(1957). “The theory of infiltration: 1. The infiltration equation and its solution,” Soil Sci., 83(5), 345–357.
Philip, J. R. (1969). “Theory of infiltration,” Advances in hydroscience, V. T. Chow, ed., Academic, New York, Vol. 5, pp. 215–296.
Pinder, G. F., and Sauer, S. P.(1971). “Numerical simulation of flow wave modification due to back storage effects,” Water Resour. Res., 7(1), 63–70.
Playan, E., Walker, W. R., and Merkley, G. P.(1994). “Two-dimensional simulation of basin irrigation, 1: Theory,” J. Irrig. Drain Eng., 120(5), 837–856.
Reeder, J. W., Freyberg, D. L., Franzini, J. B., and Remson, I.(1980). “Infiltration under rapidly varying surface water depths,” Water Resour. Res., 16(1), 97–104.
Refsgaard, J. C., and Storm, B. (1995). “Chapter 23: MIKE SHE,” in Ref. 6, 809–846.
Rubin, J., and Steinhardt, R.(1963). “Soil water relation during rain infiltration: 1. Theory,” Soil Sci. Soc. Proc., 246–251.
Saul’ yev, V. K. (1964). Integration of equations of parabolic type by the method of nets, Macmillan, New York.
Savadi, M. R.(1993). “Modeling subsurface drainage and surface runoff with WEPP,” J. Irrig. Drain Eng., 119(5), 801–813.
Schmitz, G., Haverkamp, R., and Palacios, V. O. (1985). “A coupled surface-subsurface model for shallow water flow over initially dry soil,” in Ref. 18, 23–30.
Singh, V., and Bhallamudi, S. M.(1996). “Complete hydrodynamic border-strip irrigation model,” J. Irrig. Drain Eng., 122(4), 189–197.
Smith, R. E., and Woolhiser, D. A.(1971). “Overland flow on an infiltration surface,” Water Resour. Res., 7(4), 899–913.
Swartzendruber, D., and Hillel, D. (1973). “The physics of infiltration,” in Physics of soil, water and soil in ecosystems, A. Hadas et al., eds., Springer, Berlin.
Wallach, R., Grigorin, G., and Rivlin, J.(1997). “The errors in surface runoff prediction by neglecting the relationship between infiltration rate and overland flow depth,” J. Hydrol., 200, 243–259.
Yen, B. C.(1973). “Open-channel flow equations revisited,” J. Eng. Mech. Div. Am. Soc. Civ. Eng., 99(5), 979–1009.
Yen, B. C. (1991). “Hydraulic resistance in open channel,” in Channel flow resistance: Centennial of Manning’s formula, B. C. Yen, ed., Water Resources, Highlands Ranch, Colo., 1–135.
Yen, B. C., and Akan, A. O. (1984). “Effect of soil property on overland flow and infiltration,” Proc. Third IAHR/IAWPRC Conference on Urban Storm Drainage, Goteborg, Sweden, 193–202.
Yen, B. C., and Akan, A. O. (1999). “Chapter 14: Hydraulic design of urban drainage systems,” Hydraulic design handbook, L. W. Mays, ed., McGraw–Hill, New York, pp. 14.1–14.114.
Yen, B. C., and Riggins, R. (1991). “Time scales for surface subsurface flow modeling,” Irrigation and Drainage, (Proc. ASCE National Conf., Honolulu), 351–358, ASCE, Reston, Va.
Yen, B. C., and Tsai, C. W.-S.(2001). “On noninertia wave vs. diffusion wave in flood routing,” J. Hydrol. (to be published).

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 128Issue 2February 2002
Pages: 184 - 200

History

Received: Jul 14, 2000
Accepted: Jun 19, 2001
Published online: Feb 1, 2002
Published in print: Feb 2002

Permissions

Request permissions for this article.

Authors

Affiliations

Masaru Morita
Professor, Dept. of Civil Engineering, Shibaura Institute of Technology, Shibaura, Minato-ku, Tokyo 108-8548, Japan.
Ben Chie Yen, F.ASCE
Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana-Champaign, Urbana, IL 61801.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share