Practical sand transport formula for non-breaking waves and currents

Dominic A. van der A; Jan S. Ribberink; Jebbe J. van der Werf; Thomas O'Donoghue; René H. Buijsrogge; Wouter M. Kranenburg

doi:10.1016/j.coastaleng.2013.01.007

Practical sand transport formula for non-breaking waves and currents

Dominic A. van der A, Jan S. Ribberink, Jebbe J. van der Werf, Thomas O'Donoghue, René H. Buijsrogge, Wouter M. Kranenburg

Engineering

Research output: Contribution to journal › Article › peer-review

70 Citations (Scopus)

17 Downloads (Pure)

Abstract

Many existing practical sand transport formulae for the coastal marine environment are restricted to a limited range of hydrodynamic and sand conditions. This paper presents a new practical formula for net sand transport induced by non-breaking waves and currents. The formula is especially developed for cross-shore sand transport under wave-dominated conditions and is based on the semi-unsteady, half wave-cycle concept, with bed shear stress as the main forcing parameter. Unsteady phase-lag effects between velocities and concentrations, which are especially important for rippled bed and fine sand sheet-flow conditions, are accounted for through parameterisations. Recently-recognised effects on the net transport rate related to flow acceleration skewness and progressive surface waves are also included. To account for the latter, the formula includes the effects of boundary layer streaming and advection effects which occur under real waves, but not in oscillatory tunnel flows. The formula is developed using a database of 226 net transport rate measurements from large-scale oscillatory flow tunnels and a large wave flume, covering a wide range of full-scale flow conditions and uniform and graded sands with median diameter ranging from 0.13 mm to 0.54 mm. Good overall agreement is obtained between observed and predicted net transport rates with 78% of the predictions falling within a factor 2 of the measurements. For several distinctly different conditions, the behaviour of the net transport with increasing flow strength agrees well with observations, indicating that the most important transport processes in both the rippled bed and sheet flow regime are well captured by the formula. However, for some flow conditions good quantitative agreement could only be obtained by introducing separate calibration parameters. The new formula has been validated against independent net transport rate data for oscillatory flow conditions and steady flow conditions.

Original language	English
Pages (from-to)	26-42
Number of pages	17
Journal	Coastal Engineering
Volume	76
Issue number	-
Early online date	28 Jan 2013
DOIs	https://doi.org/10.1016/j.coastaleng.2013.01.007
Publication status	Published - Jun 2013

Bibliographical note

Open Access funded by Engineering and Physical Sciences Research Council
Under a Creative Commons license

Acknowledgements
This work is part of the SANTOSS project (‘SANd Transport in OScillatory flows in the Sheet-flow regime’) funded by the UK's EPSRC (GR/T28089/01) and STW in The Netherlands (TCB.6586). JW acknowledges Deltares strategic research funding under project number 1202359.09. Richard Soulsby is gratefully acknowledged for valuable discussions and feedback on the formula during the SANTOSS project.

Keywords

sediment transport formula
sheet flow
ripples
bed shear stress
phase lag effects
advection effects

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/j.coastaleng.2013.01.007

2013 vdAetal Ceng accepted
NOTICE: this is the author’s version of a work that was accepted for publication in Coastal Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in COASTAL ENGINEERING, [VOL 76, (2013)] DOI: 10.1016/j.coastaleng.2013.01.007
Accepted author manuscript, 1.39 MB
Ceng_addendum
NOTICE: this is the author’s version of an addendum to work that was accepted for publication in Coastal Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in COASTAL ENGINEERING, [VOL 76, (2013)] DOI 10.1016/j.coastaleng.2013.01.007

http://www.sciencedirect.com/science/article/pii/S0378383913000203

Cite this

@article{92c8efadc4bb4d4197cb7851f78afa6a,

title = "Practical sand transport formula for non-breaking waves and currents",

abstract = "Many existing practical sand transport formulae for the coastal marine environment are restricted to a limited range of hydrodynamic and sand conditions. This paper presents a new practical formula for net sand transport induced by non-breaking waves and currents. The formula is especially developed for cross-shore sand transport under wave-dominated conditions and is based on the semi-unsteady, half wave-cycle concept, with bed shear stress as the main forcing parameter. Unsteady phase-lag effects between velocities and concentrations, which are especially important for rippled bed and fine sand sheet-flow conditions, are accounted for through parameterisations. Recently-recognised effects on the net transport rate related to flow acceleration skewness and progressive surface waves are also included. To account for the latter, the formula includes the effects of boundary layer streaming and advection effects which occur under real waves, but not in oscillatory tunnel flows. The formula is developed using a database of 226 net transport rate measurements from large-scale oscillatory flow tunnels and a large wave flume, covering a wide range of full-scale flow conditions and uniform and graded sands with median diameter ranging from 0.13 mm to 0.54 mm. Good overall agreement is obtained between observed and predicted net transport rates with 78% of the predictions falling within a factor 2 of the measurements. For several distinctly different conditions, the behaviour of the net transport with increasing flow strength agrees well with observations, indicating that the most important transport processes in both the rippled bed and sheet flow regime are well captured by the formula. However, for some flow conditions good quantitative agreement could only be obtained by introducing separate calibration parameters. The new formula has been validated against independent net transport rate data for oscillatory flow conditions and steady flow conditions.",

keywords = "sediment transport formula, sheet flow, ripples, bed shear stress, phase lag effects, advection effects",

author = "{van der A}, {Dominic A.} and Ribberink, {Jan S.} and {van der Werf}, {Jebbe J.} and Thomas O'Donoghue and Buijsrogge, {Ren{\'e} H.} and Kranenburg, {Wouter M.}",

note = "Open Access funded by Engineering and Physical Sciences Research Council Under a Creative Commons license Acknowledgements This work is part of the SANTOSS project ({\textquoteleft}SANd Transport in OScillatory flows in the Sheet-flow regime{\textquoteright}) funded by the UK's EPSRC (GR/T28089/01) and STW in The Netherlands (TCB.6586). JW acknowledges Deltares strategic research funding under project number 1202359.09. Richard Soulsby is gratefully acknowledged for valuable discussions and feedback on the formula during the SANTOSS project.",

year = "2013",

month = jun,

doi = "10.1016/j.coastaleng.2013.01.007",

language = "English",

volume = "76",

pages = "26--42",

journal = "Coastal Engineering",

issn = "0378-3839",

publisher = "Elsevier",

number = "-",

}

TY - JOUR

T1 - Practical sand transport formula for non-breaking waves and currents

AU - van der A, Dominic A.

AU - Ribberink, Jan S.

AU - van der Werf, Jebbe J.

AU - O'Donoghue, Thomas

AU - Buijsrogge, René H.

AU - Kranenburg, Wouter M.

N1 - Open Access funded by Engineering and Physical Sciences Research Council Under a Creative Commons license Acknowledgements This work is part of the SANTOSS project (‘SANd Transport in OScillatory flows in the Sheet-flow regime’) funded by the UK's EPSRC (GR/T28089/01) and STW in The Netherlands (TCB.6586). JW acknowledges Deltares strategic research funding under project number 1202359.09. Richard Soulsby is gratefully acknowledged for valuable discussions and feedback on the formula during the SANTOSS project.

PY - 2013/6

Y1 - 2013/6

N2 - Many existing practical sand transport formulae for the coastal marine environment are restricted to a limited range of hydrodynamic and sand conditions. This paper presents a new practical formula for net sand transport induced by non-breaking waves and currents. The formula is especially developed for cross-shore sand transport under wave-dominated conditions and is based on the semi-unsteady, half wave-cycle concept, with bed shear stress as the main forcing parameter. Unsteady phase-lag effects between velocities and concentrations, which are especially important for rippled bed and fine sand sheet-flow conditions, are accounted for through parameterisations. Recently-recognised effects on the net transport rate related to flow acceleration skewness and progressive surface waves are also included. To account for the latter, the formula includes the effects of boundary layer streaming and advection effects which occur under real waves, but not in oscillatory tunnel flows. The formula is developed using a database of 226 net transport rate measurements from large-scale oscillatory flow tunnels and a large wave flume, covering a wide range of full-scale flow conditions and uniform and graded sands with median diameter ranging from 0.13 mm to 0.54 mm. Good overall agreement is obtained between observed and predicted net transport rates with 78% of the predictions falling within a factor 2 of the measurements. For several distinctly different conditions, the behaviour of the net transport with increasing flow strength agrees well with observations, indicating that the most important transport processes in both the rippled bed and sheet flow regime are well captured by the formula. However, for some flow conditions good quantitative agreement could only be obtained by introducing separate calibration parameters. The new formula has been validated against independent net transport rate data for oscillatory flow conditions and steady flow conditions.

AB - Many existing practical sand transport formulae for the coastal marine environment are restricted to a limited range of hydrodynamic and sand conditions. This paper presents a new practical formula for net sand transport induced by non-breaking waves and currents. The formula is especially developed for cross-shore sand transport under wave-dominated conditions and is based on the semi-unsteady, half wave-cycle concept, with bed shear stress as the main forcing parameter. Unsteady phase-lag effects between velocities and concentrations, which are especially important for rippled bed and fine sand sheet-flow conditions, are accounted for through parameterisations. Recently-recognised effects on the net transport rate related to flow acceleration skewness and progressive surface waves are also included. To account for the latter, the formula includes the effects of boundary layer streaming and advection effects which occur under real waves, but not in oscillatory tunnel flows. The formula is developed using a database of 226 net transport rate measurements from large-scale oscillatory flow tunnels and a large wave flume, covering a wide range of full-scale flow conditions and uniform and graded sands with median diameter ranging from 0.13 mm to 0.54 mm. Good overall agreement is obtained between observed and predicted net transport rates with 78% of the predictions falling within a factor 2 of the measurements. For several distinctly different conditions, the behaviour of the net transport with increasing flow strength agrees well with observations, indicating that the most important transport processes in both the rippled bed and sheet flow regime are well captured by the formula. However, for some flow conditions good quantitative agreement could only be obtained by introducing separate calibration parameters. The new formula has been validated against independent net transport rate data for oscillatory flow conditions and steady flow conditions.

KW - sediment transport formula

KW - sheet flow

KW - ripples

KW - bed shear stress

KW - phase lag effects

KW - advection effects

U2 - 10.1016/j.coastaleng.2013.01.007

DO - 10.1016/j.coastaleng.2013.01.007

M3 - Article

SN - 0378-3839

VL - 76

SP - 26

EP - 42

JO - Coastal Engineering

JF - Coastal Engineering

IS - -

ER -

Practical sand transport formula for non-breaking waves and currents

Abstract

Bibliographical note

Keywords

UN SDGs

Access to Document

Fingerprint

Cite this