Modelling floods in hydrologically complex lowland river reaches

Abstract This paper considers the modelling of lowland river reaches which contain complex within-reach hydrological interactions. It is clear that river and floodplain flow are the most important processes in terms of flood modelling in lowland systems, although there are often important lateral inflows from catchments and hillslopes bounding the floodplain and from interactions between the river and the floodplain, which can all affect the propagation of the flood wave. Previous models have often either considered a complex representation of the fluvial processes with no representation of the hydrological inflows into the reach (Bates, P.D., Anderson, M.G., Price, D.A., Hardy, R.J., Smith, C.N., 1996. Analysis and development of hydraulic models for floodplain flows. In: Anderson, M.G., Walling, D.E., Bates P.D. (Eds.), Floodplain Processes. Wiley, Chichester, pp. 215–254), or have simulated a range of catchment processes with a poor representation of the river and floodplain (Abbot, M.B., Bathurst, J.C., Cunge, J.A., O'Connell, P.E., Rasmussen, J., 1986. An introduction to the European Hydrological System—Systeme Hydrologique Europeen, SHE, 2. Structure of a physically based, distributed modelling system. Journal of Hydrology, 87, 61–77). Hence, this paper develops a modelling approach based on a two-dimensional finite element hydraulic model of river and floodplain flow, which is linked to a series of simple hydrological models that simulate catchment runoff, surface and subsurface hillslope runoff, and floodplain infiltration. Simulations show that the model is able to predict flood hydrographs for a series of flood events, under a range of different hydrological conditions, down a reach of the River Severn, UK. Furthermore, the comparison of results from simulations using hydrological representations of different degrees of complexity suggest that there are restrictions on the necessary complexity of the hydrological components depending on the application of the model and the available validation data. Simple approaches to the reach scale hydrology may be sufficient if only the bulk outflow hydrograph is required by the user, however more complex spatially and temporally distributed models appear to be required if predictions of the flood inundation extent are desired. The simulations raise the issue of the application of distributed models and attempt to provide a framework for future research. The results suggest that there is a need for the validation of the internal predictions of distributed models of flood flow, and suggests a need for field data of river and floodplain interactions within long lowland river reaches.

[1]  R. Falconer,et al.  Hydraulic and Environmental Modelling: Estuarine and River Waters , 1992 .

[2]  D. Knight,et al.  Turbulent open-channel flows with variable depth across the channel , 1991, Journal of Fluid Mechanics.

[3]  R. Sellin,et al.  Behaviour of meandering two-stage channels , 1993 .

[4]  G. M. Kondolf,et al.  Effects of bank storage and well pumping on base flow, Carmel River, Monterey County, California , 1987 .

[5]  Tim Burt,et al.  Role of floodplain sediments in reducing the nitrate concentration of subsurface run‐off: A case study in the Cotswolds, UK , 1993 .

[6]  James C. Bathurst,et al.  Physically-based distributed modelling of an upland catchment using the Systeme Hydrologique Europeen , 1986 .

[7]  D. Hughes Floodplain inundation: Processes and relationships with channel discharge , 1980 .

[8]  P. Bates,et al.  Modelling the spatial variability in floodplain soil contamination during flood events to improve chemical mass balance estimates , 1998 .

[9]  P. Bernier Variable source areas and storm-flow generation: An update of the concept and a simulation effort , 1985 .

[10]  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 .

[11]  Rhj Sellin,et al.  Three dimensional structures, memory and energy dissipation in meandering compound channel flow , 1996 .

[12]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[13]  M. G. Anderson,et al.  Development and application of a combined soil water-slope stability model , 1985, Quarterly Journal of Engineering Geology.

[14]  M. Renger,et al.  Numerical treatment of the unsaturated water flow equation: Comparison of experimental and computed results , 1973 .

[15]  P. Bates,et al.  A two-dimensional finite-element model for river flow inundation , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[16]  Paul J. Squillace,et al.  Observed and Simulated Movement of Bank‐Storage Water , 1996 .

[17]  R. Sellin,et al.  Large Flow Structures in Meandering Compound Channels , 1994 .

[18]  Bruce Hunt,et al.  An Approximation for the Bank Storage Effect , 1990 .

[19]  R. Sellin A laboratory investigation into the interaction between the flow in the channel of a river and that over its flood plain , 1964 .

[20]  Luis Garrote,et al.  A distributed model for real-time flood forecasting using digital elevation models , 1995 .

[21]  M. Anderson,et al.  Ungauged catchment modelling II. Utilization of hydraulic models for validation , 1992 .

[22]  P. Bates,et al.  INITIAL COMPARISON OF TWO TWO-DIMENSIONAL FINITE ELEMENT CODES FOR RIVER FLOOD SIMULATION. , 1995 .

[23]  Malcolm G. Anderson,et al.  Towards an improved specification of slope hydrology in the analysis of slope instability problems in the tropics , 1991 .

[24]  Groundwater cation concentrations in the riparian zone of a forested headwater stream , 1990 .

[25]  W. Junk The flood pulse concept in river-floodplain systems , 1989 .

[26]  Eileen P. Poeter,et al.  Influence of Aquifer Heterogeneity on Contaminant Transport at the Hanford Site , 1990 .

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

[28]  Randel Haverkamp,et al.  A Comparison of Numerical Simulation Models For One-Dimensional Infiltration1 , 1977 .

[29]  P. Bradshaw,et al.  Turbulence Models and Their Application in Hydraulics. By W. RODI. International Association for Hydraulic Research, Delft, 1980. Paperback US $15. , 1983, Journal of Fluid Mechanics.

[30]  M. Anderson,et al.  Ungauged catchment modelling I. Assessment of flood plain flow model enhancements , 1992 .

[31]  G. Pinay,et al.  The role of riparian woods in regulating nitrogen fluxes between the alluvial aquifer and surface water: A conceptual model , 1988 .

[32]  V. Singh,et al.  Computer Models of Watershed Hydrology , 1995 .

[33]  Jens Christian Refsgaard,et al.  Application of the SHE to catchments in India Part 1. General results , 1992 .

[34]  K. Beven,et al.  A physically based, variable contributing area model of basin hydrology , 1979 .

[35]  R. Sellin,et al.  Factors Affecting Conveyance in Meandering Compound Flows , 1993 .

[36]  L. F. Huggins,et al.  ANSWERS: A Model for Watershed Planning , 1980 .

[37]  D. Correll,et al.  Nutrient dynamics in an agricultural watershed: Observations on the role of a riparian forest , 1984 .

[38]  P. Bates,et al.  Analysis and development of hydraulic models for floodplain flow , 1996 .

[39]  R. Carsel,et al.  Developing joint probability distributions of soil water retention characteristics , 1988 .

[40]  L. Mertes,et al.  Documentation and significance of the perirheic zone on inundated floodplains , 1997 .