Statistically Derived Bedload Formula for Any Fraction of Nonuniform Sediment

Sun, Zhilin; Donahue, John J.

doi:10.1061/(asce)0733-9429(2000)126:2(105)

Cited by 52 publications

(51 citation statements)

References 7 publications

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“…For the normal (Fickian) diffusion of bed particles we have for even moments γ x ( q ) ≡ γ y ( q ) ≡ γ ≡ 0.5, while all odd moments are equal to zero. This diffusion regime is consistent with theoretical considerations of Einstein [1937, 1942] and his followers in stochastic studies of bed particle motion [e.g., Yang and Sayre , 1971; Stelczer , 1981; Sun and Donahue , 2000]. Indeed, it is usually assumed that probability distributions for both length steps and rest periods are exponential (or close to exponential), and thus the Central Limit Theorem applies, leading to γ x ( q ) ≡ γ y ( q ) ≡ γ ≡ 0.5, [e.g., Yang and Sayre , 1971; Bouchaud and Georges , 1990; Weeks et al , 1996].…”

Section: Introductionsupporting

confidence: 87%

On bed particle diffusion in gravel bed flows under weak bed load transport

Nikora

Habersack²,

Huber³

et al. 2002

Water Resources Research

183

320

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[1] We introduce a new conceptual model for longitudinal and transverse diffusion of moving bed particles under weak bed load transport. For both rolling/sliding and saltating modes the model suggests that the particle motion is diffusive and comprises at least three ranges of temporal and spatial scales with different diffusion regimes: (1) the local range (ballistic diffusion), (2) the intermediate range (normal or anomalous diffusion), and (3) the global range (subdiffusion). The local range corresponds to ballistic particle trajectories between two successive collisions with the static bed particles. The intermediate range corresponds to particle trajectories between two successive periods of rest. These trajectories consist of many local trajectories and may include tens or hundreds of collisions with the bed. The global range of scales corresponds to particle trajectories consisting of many intermediate trajectories, just as intermediate trajectories consist of many local trajectories. Our data from the Balmoral Canal (the intermediate range) and Drake et al. 's [1988] data from the Duck Creek (the global range) provide strong support for this conceptual model and identify anomalous diffusion regimes for the intermediate range (superdiffusion) and the global range (subdiffusion).

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Section: Introductionsupporting

confidence: 87%

On bed particle diffusion in gravel bed flows under weak bed load transport

Nikora

Habersack²,

Huber³

et al. 2002

Water Resources Research

183

320

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“…The method of Yang yields excellent results for small-scale river data, but very poor results for large scale river data. Habersack and Laronne (2002) compared measured and calculated values using the following bed load discharge formulas for equilibrium conditions: Meyer-Peter et al (1934), Schocklitsch (1934Schocklitsch ( , 1950 but formulated in 1943; Meyer-Peter and Mueller (1948), Einstein (1950), Yalin (1963), Ackers and White (1973), White and Day (1982), Bagnold (1980), Parker et al (1982) and Zanke (1987) and for non-equilibrium conditions: Parker (1990), Zanke (1999) and Sun and Donahue (2000). The results of the discrepancy ratio in the interval of 0.5 < r < 2 in descending order are Zanke (1987), Einstein (1950), Meyer-Peter et al (1934), Schocklitsch (1950) to Ackers and White (1973) and White and Day (1982) respectively.…”

Section: Results and Discussion Evaluation Of Formulasmentioning

confidence: 99%

Bedload Equation Analysis Using Bed Load-Material Grain Size

Haddadchi¹,

Omid²,

Dehghani³

2013

Journal of Hydrology and Hydromechanics

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Twelve predictive bedload sediment transport equations are rated against 14 sets of gravel-bed river field data collected by handheld bedload sampler in Narmab River, northeastern Iran. To evaluate these formulas two types of grain size namely bedload and bed material were used. The results show that the equations of Engelund and Hansen, Van Rijn and Einstein perform well with bed material grain size, while Shocklitsch, Meyer-Peter and Mueller, and Frijlink yield the best results using the bedload grain size.

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“…Similar to Einstein (1950), the probability concept has been used by Sun and Donahue (2000) to develop bed load transport functions for nonuniform sediment. A theoretical attempt has been made by the authors to combine stochastic process with mechanics and measured data.…”

Section: Sun and Donahue (2000)mentioning

confidence: 99%

Stochastic and Deterministic Methods of Computing Graded Bedload Transport

Bhuiyan¹

2011

Sediment Transport - Flow and Morphological Processes

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Statistically Derived Bedload Formula for Any Fraction of Nonuniform Sediment

Cited by 52 publications

References 7 publications

On bed particle diffusion in gravel bed flows under weak bed load transport

On bed particle diffusion in gravel bed flows under weak bed load transport

Bedload Equation Analysis Using Bed Load-Material Grain Size

Stochastic and Deterministic Methods of Computing Graded Bedload Transport

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