Modeling of conjunctive two-dimensional surface-three-dimensional subsurface flows

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 exper...

[1]  R. Horton.  The Rôle of infiltration in the hydrologic cycle , 1933 .

[2]  R. Allan Freeze,et al.  Role of subsurface flow in generating surface runoff: 1. Base flow contributions to channel flow , 1972 .

[3]  R. Wallach,et al.  The errors in surface runoff prediction by neglecting the relationship between infiltration rate and overland flow depth , 1997 .

[4]  R. Allan Freeze,et al.  Role of subsurface flow in generating surface runoff: 2. Upstream source areas , 1972 .

[5]  Gary P. Merkley,et al.  Two‐Dimensional Simulation of Basin Irrigation. I: Theory , 1994 .

[6]  Ben Chie Yen,et al.  Time Scales for Surface-Subsurface Flow Modeling , 1991 .

[7]  Abioala A. Akanbi,et al.  Model for Flood Propagation on Initially Dry Land , 1988 .

[8]  Scott F. Bradford,et al.  Nonhydrostatic model for surface irrigation , 1998 .

[9]  S. Murty Bhallamudi,et al.  Complete hydrodynamic border-strip irrigation model , 1996 .

[10]  J. Rubin,et al.  Soil Water Relations During Rain Infiltration: I. Theory1, 2 , 1963 .

[11]  Nikolaos D. Katopodes,et al.  Hydrodynamics of Border Irrigation — Complete Model , 1977 .

[12]  Ben Chie Yen,et al.  Numerical methods for conjunctive two-dimensional surface and three-dimensional sub-surface flows , 2000 .

[13]  J. Philip.  THE THEORY OF INFILTRATION: 1. THE INFILTRATION EQUATION AND ITS SOLUTION , 1957 .

[14]  D. Hillel,et al.  The Physics of Infiltration , 1973 .

[15]  P. E. O'connell,et al.  An introduction to the European Hydrological System — Systeme Hydrologique Europeen, “SHE”, 2: Structure of a physically-based, distributed modelling system , 1986 .

[16]  George F. Pinder,et al.  Numerical Simulation of Flood Wave Modification Due to Bank Storage Effects , 1971 .

[17]  P. E. O'connell,et al.  An introduction to the European Hydrological System — Systeme Hydrologique Europeen, “SHE”, 1: History and philosophy of a physically-based, distributed modelling system , 1986 .

[18]  Bert K. Larkin,et al.  Some stable explicit difference approximations to the diffusion equation , 1964 .

[19]  Ben Chic Yen,et al.  Open-Channel Flow Equations Revisited , 1973 .

[20]  Vijay P. Singh,et al.  The SHE/SHESED basin scale water flow and sediment transport modelling system. , 1995 .

[21]  Ben C. Yen,et al.  On noninertia wave versus diffusion wave in flood routing , 2001 .

[22]  Mathematical Model of Shallow Water Flow over Porous Media , 1981 .

[23]  Ben Chie Yen,et al.  Diffusion-Wave Flood Routing in Channel Networks , 1981 .

[24]  J. Philip,et al.  Theory of Infiltration , 1969 .

[25]  David L. Freyberg,et al.  Infiltration under rapidly varying surface water depths , 1980 .

[26]  C F Izzard,et al.  HYDRAULICS OF RUNOFF FROM DEVELOPED SURFACES , 1947 .

[27]  Garry J. Tee,et al.  Integration of Equations of Parabolic Type by the Method of Nets , 1964 .

[28]  M. R. Savabi.  Modeling Subsurface Drainage and Surface Runoff with WEPP , 1993 .

[29]  R. J. Hanks,et al.  Numerical Solution of the Moisture Flow Equation for Infiltration into Layered Soils 1 , 1962 .

[30]  David A. Woolhiser,et al.  Overland Flow on an Infiltrating Surface , 1971 .