Simplified Two-Parameter Gamma Distribution for Derivation of Synthetic Unit Hydrograph

Bhunya, P. K.; Mishra, S. K.; Berndtsson, Ronny

doi:10.1061/(asce)1084-0699(2003)8:4(226)

Cited by 72 publications

(48 citation statements)

References 9 publications

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“…The beginning of the synthetic unit hydrograph concept can be traced back to the distribution graph proposed by [6] to synthesize the UH from watershed characteristics, rather than the rainfall-runoff data [7]. The example of some of the traditional methods of SUHs can be referred in [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Synthetic Unit Hydrograph Methods: A Critical Review

Bhunya¹

2011

TOHYDJ

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Abstract:The present study critically reviews the synthetic unit hydrograph (SUH) methods available in hydrologic literature. The study reveals that the traditional methods of SUH derivation, e.g., Snyder, SCS, traditional methods like Snyder and TS method that does not yield satisfactory results, and their application to the practical engineering problems is tedious and combursome. On the other hand, probability distribution functions (pdfs) based SUH methods are easy to apply, and easily meet the UH criterion, i.e. the area under the curve is unity, and rely on a stronger mathematical base and sounder hydrologic perception. The recent pdfs used for deriving UHs in ungauged catchments, address the SUH shapes with more flexibility than the earlier pdfs proposed by [1] for SUH derivation.

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Section: Introductionmentioning

confidence: 99%

Synthetic Unit Hydrograph Methods: A Critical Review

Bhunya¹

2011

TOHYDJ

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“…For known β, the application of equation (34) gives accurate estimates of n and K, which has been demonstrated using field and simulated data by Bhunya et al (2003).…”

Section: Two-parameter Gamma Distribution (2pgd) Modelmentioning

confidence: 88%

A variable storage coefficient model for rainfall—runoff computation / Modèle pluie—débit basé sur un coefficient de stockage variable

Bhunya

Singh

Mishra

et al. 2008

Hydrological Sciences Journal

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“…Stirling's formula [1] was used by [2] to get an approximate solution of (6) Equations (7a) and (7b) were derived using numerical simulation and optimization, and can be used to estimate n for known values of q p and t p . These equations avoid the widely practiced trial-and-error solution of n for given β [17].…”

Section: A 2pgd-based Suh Methodsmentioning

confidence: 99%

“…Reference [17] proposed an approximate analytical equation for calculating n and K (which define the shape and scale of the gamma distribution, respectively) from peak and time to peak of UH. Though the exact solution of n in terms of the non-dimensional shape factor β (= q p t p ) is difficult to evaluate, the Nash parameter n is accurately expressed mathematically in terms of β, by assuming n as a non-linear function of β, eliminating trials [2]. Shape factor can be taken as the form factor that quantifies the hydrograph peakedness and influences the hydrograph shape [17].…”

Section: Introductionmentioning

confidence: 99%

Two-Parameter Gamma-Based SUH Derivation

Patil¹,

Mishra²,

Sharma³

et al. 2012

IJESD

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Abstract-A simple procedure is suggested to compute direct runoff hydrograph (DRH) using an improved two-parameter gamma distribution (2PGD) based synthetic unit hydrograph (SUH) and it is tested on several storm events recorded in 3 different hydrometeorological catchments. When compared, the computed hydrographs were more accurate than those due to popular Gray, SCS, and Snyder methods, because of avoidance of manual, subjective, and tiresome fitting of hydrograph through few data points for their adjustments for unit runoff volume. The improved 2PGD incorporates the available approximate, but accurate, empirical relations for estimation of β and factors governing the shape of the dimensionless unit hydrograph (UH) from the Nash parameter number of reservoirs (n). The SUH peak discharge per unit area per unit effective rainfall (q p ) and time to peak (t p ) have been derived from hydrologic and geomorphologic characteristics of the watershed, which is advantageous for field use. The objective of this paper is to propose a 2PGD-based method, test it on the data of 3 watersheds, and finally carry out a sensitivity analysis for model parameters. Model results during calibration and validation are very promising with average efficiency of each watershed exceeding 92% and 72%, respectively.

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Simplified Two-Parameter Gamma Distribution for Derivation of Synthetic Unit Hydrograph

Cited by 72 publications

References 9 publications

Synthetic Unit Hydrograph Methods: A Critical Review

Synthetic Unit Hydrograph Methods: A Critical Review

A variable storage coefficient model for rainfall—runoff computation / Modèle pluie—débit basé sur un coefficient de stockage variable

Two-Parameter Gamma-Based SUH Derivation

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