Numerical simulation of bedload tracer transport associated with sand bar formation, bank erosion, and channel migration

Toshiki Iwasaki; Satomi Yamaguchi; Hiroki Yabe

doi:10.1051/e3sconf/20184002013

All issues

Volume 40 (2018)

E3S Web Conf., 40 (2018) 02013

References

Open Access

Issue		E3S Web Conf. Volume 40, 2018 River Flow 2018 - Ninth International Conference on Fluvial Hydraulics


Article Number		02013
Number of page(s)		8
Section		River morphodynamics and restoration
DOI		https://doi.org/10.1051/e3sconf/20184002013
Published online		05 September 2018

H.A. Einstein. Der geschiebetrieb als wahrscheinlichkeitsproblem, Mitteilungen der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der Eidgenössischen Technischen Hochschule Zürich , pp. 1-111, Rascher & Co., Switzerland (1937) [Google Scholar]
R.I. Ferguson and T.B. Hoey. Long-term slowdown of river tracer pebbles: Generic models and implications for interpreting short term tracer studies, Water Resour. Res. , 38(8), 1142, doi:10.1029/2001WR000637 (2002) [Google Scholar]
C.B. Phillips, R.L. Martin and D.J. Jerolmack. Impulse framework for unsteady flows reveals super-diffusive bed load transport, Geophys. Res. Lett., 40, 1328-1333, doi: 10.1002/grl.50323 (2013) [CrossRef] [Google Scholar]
W. Sayre and D. Hubbell. Transport and dispersion of labeled bed material, North Loup River, Nebraska, U.S. Geol. Surv. Prof. Pap. , 433-C, 48pp (1965) [Google Scholar]
G. Parker, C. Paola and S. Leclair. Probabilistic Exner sediment continuity equation for mixtures with no active layer, J. Hydraul. Eng. , 126(11), 818-826, doi:10.1061/(ASCE)0733-9429(2000)126:11(818) (2000) [CrossRef] [Google Scholar]
D. Furbish, P. Haff, J. Roseberry and W. Schmeeckle. A probabilistic description of the bed load sediment flux: 1. Theory, J. Geophys. Res., 117, F03031, doi:10.1029/2012JF002352 (2012) [Google Scholar]
E. Lajeunesse, O. Devauchelle and F. James. Advection and dispersion of bedload tracers, Earth Surf. Dynam. Discuss. , https://doi.org/10.5194/esurf-2017-57, in review (2017) [Google Scholar]
M.A. Hassan, H. Voepel, R. Schumer, G. Parker, and L. Fraccarollo. Displacement characteristics of coarse fluvial bed sediment, J. Geophys. Res. Earth Surf. , 118, 155-165, doi:10.1029/2012JF002374 (2013) [CrossRef] [Google Scholar]
S. Yamaguchi, T. Kyuka, Y. Shimizu, N. Izumi, Y. Watanabe and T. Iwasaki. Influence of sediment dynamics in river channel on the channel change, J. of JSCE B1(Hydraulic Engineering), in Japanese (2018) [Google Scholar]
T. Iwasaki, Y. Shimizu and I. Kimura. Numerical simulation of bar and bank erosion in a vegetated floodplain: A case study in the Otofuke River. Adv. Water Res. http://dx.doi.org/10.1016/j.advwatres.2015.02.001 (2016) [Google Scholar]
T. Iwasaki, Y. Shimizu and I. Kimura. Sensitivity of free bar morphology in rivers to secondary flow modeling: Linear stability analysis and numerical simulation, Adv. Water Resour. , 92, 57-72, doi:10.1016/j.advwatres.2016.03.011 (2016) [CrossRef] [Google Scholar]
A. Siviglia and A. Crosato. Numerical modelling of river morphodynamics : Latest developments and remaining challenges, Adv. Water Resour. , 93(A), 1-3, doi.org/10.1016/j.advwatres.2016.01.005 (2016) [CrossRef] [Google Scholar]
E. Falkowska and T. Falkowski. Trace metals distribution pattern in floodplain sediments of a lowland river in relation of contemporary valley bottom morphodynamics, Earth Surf. Processes Landforms , 40, 876-887, doi:10.1002/esp.3680 (2015) [CrossRef] [Google Scholar]
T. Iwasaki, M. Nabi, Y. Shimizu and I. Kimura. Computational modeling of 137Cs contaminant transfer associated with sediment transport in Abukuma River, J. Environ. Radioact., 139, 416-426, doi:10.1016/j.jenvrad.2014.05.012 (2014) [CrossRef] [Google Scholar]
E. Meyer-Peter and R. Muller Formulas for bedload transport, IAHSR, Report on the second Meeting, 3, 39-64 (1948) [Google Scholar]
M. Hirano. River bed degradation with armoring, Proc. Jpn Soc. Civ. Eng., 195, 55-65, in Japanese (1971). [CrossRef] [Google Scholar]
T. Iwasaki, J. Nelson, Y. Shimizu, and G. Parker. Numerical simulation of large-scale bed load particle tracer advection-dispersion in rivers with free bars, J. Geophys. Res. Earth Surf. , 122, doi:10.1002/2016JF003951 (2017) [Google Scholar]
V. Ganti, M.M. Meerschaert, E. Foufoula-Georgiou, E. Viparelli and G. Parker. Normal and anomalous diffusion of gravel tracer particles in rivers, J. Geophys. Res. , 115, F00A12, doi:10.1029/2008JF001222 (2013) [Google Scholar]
G. Seizilles, E. Lajeunesse, O. Devauchelle and M. Bak. Cross-stream diffusion in bedload transport, Phys. Fluids , 26, 013302, doi:10.1063/1.4861001 (2014) [CrossRef] [Google Scholar]
A. Pelosi, R. Schumer, G. Parker and R. I. Feruson. The cause of advective slowdown of tracer pebbles in rivers: Implementation of Exner based master equation for coevolving streamwise and vertical dispersion, J. Geophys. Res. Earth Surf., 121, 623-637, doi:10.1002/2015JF003497 (2016) [CrossRef] [Google Scholar]

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[1] H.A. Einstein. Der geschiebetrieb als wahrscheinlichkeitsproblem, Mitteilungen der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der Eidgenössischen Technischen Hochschule Zürich , pp. 1-111, Rascher & Co., Switzerland (1937) [Google Scholar]

[2] R.I. Ferguson and T.B. Hoey. Long-term slowdown of river tracer pebbles: Generic models and implications for interpreting short term tracer studies, Water Resour. Res. , 38(8), 1142, doi:10.1029/2001WR000637 (2002) [Google Scholar]

[3] C.B. Phillips, R.L. Martin and D.J. Jerolmack. Impulse framework for unsteady flows reveals super-diffusive bed load transport, Geophys. Res. Lett., 40, 1328-1333, doi: 10.1002/grl.50323 (2013) [CrossRef] [Google Scholar]

[4] W. Sayre and D. Hubbell. Transport and dispersion of labeled bed material, North Loup River, Nebraska, U.S. Geol. Surv. Prof. Pap. , 433-C, 48pp (1965) [Google Scholar]

[5] G. Parker, C. Paola and S. Leclair. Probabilistic Exner sediment continuity equation for mixtures with no active layer, J. Hydraul. Eng. , 126(11), 818-826, doi:10.1061/(ASCE)0733-9429(2000)126:11(818) (2000) [CrossRef] [Google Scholar]

[6] D. Furbish, P. Haff, J. Roseberry and W. Schmeeckle. A probabilistic description of the bed load sediment flux: 1. Theory, J. Geophys. Res., 117, F03031, doi:10.1029/2012JF002352 (2012) [Google Scholar]

[7] E. Lajeunesse, O. Devauchelle and F. James. Advection and dispersion of bedload tracers, Earth Surf. Dynam. Discuss. , https://doi.org/10.5194/esurf-2017-57, in review (2017) [Google Scholar]

[8] M.A. Hassan, H. Voepel, R. Schumer, G. Parker, and L. Fraccarollo. Displacement characteristics of coarse fluvial bed sediment, J. Geophys. Res. Earth Surf. , 118, 155-165, doi:10.1029/2012JF002374 (2013) [CrossRef] [Google Scholar]

[9] S. Yamaguchi, T. Kyuka, Y. Shimizu, N. Izumi, Y. Watanabe and T. Iwasaki. Influence of sediment dynamics in river channel on the channel change, J. of JSCE B1(Hydraulic Engineering), in Japanese (2018) [Google Scholar]

[10] T. Iwasaki, Y. Shimizu and I. Kimura. Numerical simulation of bar and bank erosion in a vegetated floodplain: A case study in the Otofuke River. Adv. Water Res. http://dx.doi.org/10.1016/j.advwatres.2015.02.001 (2016) [Google Scholar]

[11] T. Iwasaki, Y. Shimizu and I. Kimura. Sensitivity of free bar morphology in rivers to secondary flow modeling: Linear stability analysis and numerical simulation, Adv. Water Resour. , 92, 57-72, doi:10.1016/j.advwatres.2016.03.011 (2016) [CrossRef] [Google Scholar]

[12] A. Siviglia and A. Crosato. Numerical modelling of river morphodynamics : Latest developments and remaining challenges, Adv. Water Resour. , 93(A), 1-3, doi.org/10.1016/j.advwatres.2016.01.005 (2016) [CrossRef] [Google Scholar]

[13] E. Falkowska and T. Falkowski. Trace metals distribution pattern in floodplain sediments of a lowland river in relation of contemporary valley bottom morphodynamics, Earth Surf. Processes Landforms , 40, 876-887, doi:10.1002/esp.3680 (2015) [CrossRef] [Google Scholar]

[14] T. Iwasaki, M. Nabi, Y. Shimizu and I. Kimura. Computational modeling of 137Cs contaminant transfer associated with sediment transport in Abukuma River, J. Environ. Radioact., 139, 416-426, doi:10.1016/j.jenvrad.2014.05.012 (2014) [CrossRef] [Google Scholar]

[15] E. Meyer-Peter and R. Muller Formulas for bedload transport, IAHSR, Report on the second Meeting, 3, 39-64 (1948) [Google Scholar]

[16] M. Hirano. River bed degradation with armoring, Proc. Jpn Soc. Civ. Eng., 195, 55-65, in Japanese (1971). [CrossRef] [Google Scholar]

[17] T. Iwasaki, J. Nelson, Y. Shimizu, and G. Parker. Numerical simulation of large-scale bed load particle tracer advection-dispersion in rivers with free bars, J. Geophys. Res. Earth Surf. , 122, doi:10.1002/2016JF003951 (2017) [Google Scholar]

[18] V. Ganti, M.M. Meerschaert, E. Foufoula-Georgiou, E. Viparelli and G. Parker. Normal and anomalous diffusion of gravel tracer particles in rivers, J. Geophys. Res. , 115, F00A12, doi:10.1029/2008JF001222 (2013) [Google Scholar]

[19] G. Seizilles, E. Lajeunesse, O. Devauchelle and M. Bak. Cross-stream diffusion in bedload transport, Phys. Fluids , 26, 013302, doi:10.1063/1.4861001 (2014) [CrossRef] [Google Scholar]

[20] A. Pelosi, R. Schumer, G. Parker and R. I. Feruson. The cause of advective slowdown of tracer pebbles in rivers: Implementation of Exner based master equation for coevolving streamwise and vertical dispersion, J. Geophys. Res. Earth Surf., 121, 623-637, doi:10.1002/2015JF003497 (2016) [CrossRef] [Google Scholar]