Similarity analysis of runoff generation processes in real-world catchments

This paper addresses the question of similarity of runoff generation processes between catchments in the eastern wheat belt of Western Australia, and the use of dimensionless parameterizations to quantify this similarity. A spatially distributed rainfall-runoff model, simulating runoff generation by both the infiltration excess (Horton type) and saturation excess (Dunne type) mechanisms, was developed for catchments in the region. Seven small experimental catchments, with field-measured soil hydraulic properties and topography, were used in the study. Following on from the similarity theory developed by Sivapalan et al. (1987), a number of dimensionless similarity parameters were constructed using the field-measured soil and topographic properties, a characteristic length scale, and a characteristic flow velocity. The objective was to determine whether the dominant runoff generation mechanism on a catchment could be reliably predicted by these similarity parameters. This was achieved through sensitivity analyses carried out with the rainfall-runoff model. Two dimensionless parameters, K0* and ƒ*, were found to be critical for characterizing the similarity or dissimilarity of the runoff generation responses between the seven experimental catchments. Within the assumptions of the analysis, two catchments in the wheat belt region can be considered to be hydrologically similar, in terms of their runoff responses, if K0* and ƒ* are identical in both catchments. The dominant mechanism of runoff generation on any catchment can be reliably predicted, provided that the values of K0* and ƒ* are known. A partial quantification of the Dunne diagram (Dunne, 1978) for the wheat belt region, in terms of the infiltration excess and saturation excess mechanisms, was achieved by artificially varying K0* and ƒ* in the rainfall-runoff model to explore the full range of possible runoff generation responses.

[1]  I. Rodríguez‐Iturbe,et al.  The geomorphologic structure of hydrologic response , 1979 .

[2]  W. Green,et al.  Studies on Soil Phyics. , 1911, The Journal of Agricultural Science.

[3]  Keith Beven,et al.  On subsurface stormflow: an analysis of response times , 1982 .

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

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

[6]  Thomas A. McMahon,et al.  Physically based hydrologic modeling: 2. Is the concept realistic? , 1992 .

[7]  Keith Beven,et al.  Effects of spatial variability and scale with implications to hydrologic modeling , 1988 .

[8]  Keith Beven,et al.  On hydrologic similarity: 3. A dimensionless flood frequency model using a generalized geomorphologic unit hydrograph and partial area runoff generation , 1990 .

[9]  Murugesu Sivapalan,et al.  On the relationship between the time condensation approximation and the flux concentration relation , 1989 .

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

[11]  K. Beven,et al.  Similarity and scale in catchment storm response , 1990 .

[12]  G. Hornberger,et al.  Empirical equations for some soil hydraulic properties , 1978 .

[13]  Oscar J. Mesa,et al.  On the Relative Role of Hillslope and Network Geometry in Hydrologic Response , 1986 .

[14]  Keith Beven,et al.  On hydrologic similarity: 2. A scaled model of storm runoff production , 1987 .

[15]  R. Allan Freeze,et al.  A stochastic‐conceptual analysis of rainfall‐runoff processes on a hillslope , 1980 .