A storage routing model based on catchment geomorphology

Boyd, Michael J.; Pilgrim, David H.; Cordery, Ian

doi:10.1016/0022-1694(79)90048-9

Cited by 50 publications

(28 citation statements)

References 14 publications

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“…[42] For routing, a network of geomorphologic nonlinear reservoirs (similar in nature to the ones of Boyd et al [1979], Berod et al [1995], Reggiani et al [2001], and Menabde and Sivapalan [2001]) is used and the routing parameters have been derived in terms of the multiscaling HG model parameters and the properties of the river Figure 15. At-station (top) fitted exponents and (bottom) preexponents for cross-sectional area and velocity (i.e., parameters of the fitted Leopold and Maddock's [1953] power laws) for the 85 stations versus their contributing area (notice that the top plots are the same as Figure 6), but now the theoretical curves F C A (A), F V (A), Y C A (A) and Y V (A) derived from the proposed multiscaling model (equations (9)) have also been plotted.…”

Section: àAmentioning

confidence: 99%

Generalized hydraulic geometry: Derivation based on a multiscaling formalism

Dodov

Foufoula‐Georgiou

2004

Water Resources Research

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[1] Relationships between channel characteristics (e.g., mean depth, water surface width, mean velocity) and discharge, known as hydraulic geometry (HG), have been extensively used by hydrologists and geomorphologists since the seminal work of Leopold and Maddock [1953]. On the basis of recent empirical evidence that the parameters of at-site HG depend systematically on the contributing area (scale) and that the parameters of downstream HG depend on the frequency of discharge, we propose a multiscaling formalism within which to model and interpret both at-site and downstream HG in a homogeneous region. In particular, we postulate and test multiscaling models for crosssectional area and discharge and derive generalized HG relationships that explicitly account for scale-frequency dependence. The multiscaling formalism is tested in several basins in Oklahoma and Kansas for drainage areas ranging from 2 to 20,000 km 2 and shows good agreement with the data. To quantify the effects that scale dependence in HG has on the hydrologic response of a basin, a geomorphologic nonlinear cascade of reservoirs model has been used to compute attributes of a representative hydrologic response function for various levels of catchment-averaged effective rainfall and different basin orders. The numerical experiment shows substantial differences in hydrologic response when using classical versus generalized HG. Finally, a preliminary effort is reported to generalize even further the HG relationships such that they can account for deviations from a single power law (e.g., consideration of two different power laws in low-and high-flow regimes) through the introduction of a bivariate mixed multiscaling framework.

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Section: àAmentioning

confidence: 99%

Generalized hydraulic geometry: Derivation based on a multiscaling formalism

Dodov

Foufoula‐Georgiou

2004

Water Resources Research

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“…In this regard, several attempts were made in the past to establish relationships between the parameters of the models for ungauged catchments, and the physically measurable watershed characteristics; e.g. Bernard (1935), Snyder (1938, Taylor and Schwarz (1952), Gray (1961), Boyd (1979), and Boyd et al (1979). However, the pioneering works of Rodríguez-Iturbe and , Valdés et al (1979), and Gupta et al (1980), which explicitly integrate the geomorphology details and the climatological characteristics of a basin, in the framework of travel time distribution, are the boon for streamflow synthesis in ungauged basins or cases with partial information on storm event data .…”

Section: Geomorphological Instantaneous Unit Hydrograph-based Suh Metmentioning

confidence: 99%

“…In this context, many studies have been completed relating UH or instantaneous unit hydrograph (IUH) parameters to their basin parameters to synthesize a UH for an ungauged basin, e.g. Bernard (1935), Snyder (1938), Taylor and Schwarz (1952), Gray (1961), Hedman (1970), Murphey et al (1977), Boyd et al (1979), Rodríguez-Iturbe and , Croley (1980), Gupta et al (1980), Aron and White (1982), Rosso (1984), , Singh (1988), Bras and Rodriguez-Iturbe (1989), Haan et al (1994), Usul and Tezcan (1995), Yen and Lee (1997), Bhadra et al (2008) and Bhunya et al (2009). Sherman (1932) was the first to see the possibilities of extending the UH theory he had developed.…”

Section: Introductionmentioning

confidence: 99%

A review of the synthetic unit hydrograph: from the empirical UH to advanced geomorphological methods

Singh

Mishra

Jain

2014

Hydrological Sciences Journal

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“…The other approach considered uses a representation of each homogeneous unit of the basin by a linear storage element of storage coefficient T invariant from one unit to another. This model segment, consisting of a linear version of the Laurenson (1964) model, involves the estimation of the parameter T through the basin lag Kg (Boyd et al, 1979). The contribution of an effective rainfall component, Ej, in the i-th unit counted upwards from the outlet, to basin response may therefore be described in terms of its routing through a chain of i identical linear elements, which corresponds to the Nash (1957) model.…”

Section: Effective Rainfall-direct Runoffmentioning

confidence: 99%