Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-19T16:06:19.641Z Has data issue: false hasContentIssue false

Interaction between curvature-driven width oscillations and channel curvature in evolving meander bends

Published online by Cambridge University Press:  09 August 2019

F. Monegaglia*
Affiliation:
Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano 77, 38122Italy
M. Tubino
Affiliation:
Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano 77, 38122Italy
G. Zolezzi
Affiliation:
Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano 77, 38122Italy
*
Email address for correspondence: [email protected]

Abstract

We study the morphodynamics of channel width oscillations associated with the planform development of river meander bends. With this aim we develop a novel planform evolution model, based on the framework of the classical bend theory of river meanders by Ikeda et al. (J. Fluid Mech., vol. 112, 1981), that accounts for local width changes over space and time, tied to the local hydro-morphodynamics through a two-way feedback process. We focus our attention on ‘autogenic’ width variations, which are forced by flow nonlinearities driven by channel curvature dynamics. Under the assumption of regular, sinusoidal width and curvature oscillations, we obtain a set of ordinary differential equations, formally identical to those presented by Seminara et al. (J. Fluid Mech., vol. 438, 2001, pp. 213–230), with an additional equation for the longitudinal oscillation of the channel width. The proposed approach gives insight into the interaction between autogenic width variations and curvature in meander development and between forcing and damping effects in the formation of width variations. Model outcomes suggest that autogenic width oscillations mainly determine wider-at-inflection meandering river patterns, and affect their planform development particularly at super-resonant aspect ratios, where the width oscillation reaches its maximum and reduces meander sinuosity and lateral floodplain size. The coevolution of autogenic width oscillation and curvature occurs through temporal hysteresis cycles, whereby the peak in channel curvature lags behind that of width oscillation. Width oscillation amplitudes predicted by the model are consistent with those extracted from remotely sensed data.

Type
JFM Papers
Copyright
© 2019 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bagnold, R. A. 1966 An Approach to the Sediment Transport Problem from General Physics. US government printing office.Google Scholar
Blondeaux, P. & Seminara, G. 1985 A unified bar-bend theory of river meanders. J. Fluid Mech. 157 (157), 449470.Google Scholar
Braudrick, C. A., Dietrich, W. E., Leverich, G. T. & Sklar, L. S. 2009 Experimental evidence for the conditions necessary to sustain meandering in coarse-bedded rivers. Proc. Natl Acad. Sci. USA 106 (40), 1693616941.Google Scholar
Brice, J. C.1975 Air photo interpretation of the form and behaviour of alluvial rivers. Tech. Rep. U.S. Army Research Office.Google Scholar
Brown, P. N., Byrne, G. D. & Hindmarsh, A. C. 1989 Vode: a variable-coefficient ode solver. SIAM J. Sci. Stat. Comput. 10 (5), 10381051.Google Scholar
Camporeale, C., Perona, P., Porporato, A. & Ridolfi, L. 2005 On the long-term behavior of meandering rivers. Water Resour. Res. 41 (12), 113.Google Scholar
Chen, D. & Duan, J. G. 2006 Modeling width adjustment in meandering channels. J. Hydrol. 321 (1–4), 5976.Google Scholar
Colombini, M., Tubino, M. & Whiting, P. 1992 Topographic expression of bars in meandering channels. In Dynamics of Gravel Bed rivers (ed. Wiley, J. & Ltd., Sons), pp. 457474. Wiley.Google Scholar
Constantine, J. A., Dunne, T., Ahmed, J., Legleiter, C. & Lazarus, E. D. 2014 Sediment supply as a driver of river meandering and floodplain evolution in the amazon basin. Nature Geosci. 7 (12), 899903.Google Scholar
Crosato, A. 2009 Physical explanations of variations in river meander migration rates from model comparison. Earth Surf. Process. Landf. 34 (15), 20782086.Google Scholar
Darby, S. E., Alabyan, A. M. & Van de Wiel, M. J. 2002 Numerical simulation of bank erosion and channel migration in meandering rivers. Water Resour. Res. 38 (9), 1163.Google Scholar
Darby, S. E., Rinaldi, M. & Dapporto, S. 2007 Coupled simulations of fluvial erosion and mass wasting for cohesive river banks. J. Geophys. Res. 112, f03022.Google Scholar
Duan, J. G. & Julien, P. Y. 2005 Numerical simulation of the inception of channel meandering. Earth Surf. Process. Landf. 30, 10931110.Google Scholar
Dubón, S. A. L.2018 Width variations in river meandering evolution and chute cutoff process. PhD thesis, Università degli Studi di Padova.Google Scholar
Eke, E. C., Czapiga, M. J., Viparelli, E., Shimizu, Y., Imran, J., Sun, T. & Parker, G. 2014a Coevolution of width and sinuosity in meandering rivers. J. Fluid Mech. 760, 127174.Google Scholar
Eke, E. C., Parker, G. & Shimizu, Y. 2014b Numerical modeling of erosional and depositional bank processes in migrating river bends with self-formed width: Morphodynamics of bar push and bank pull. J. Geophys. Res. 119 (2), 14551483.Google Scholar
Frascati, A. & Lanzoni, S. 2013 A mathematical model for meandering rivers with varying width. J. Geophys. Res. 118 (3), 16411657.Google Scholar
Güneralp, I., Abad, J. D., Zolezzi, G. & Hooke, J. 2012 Advances and challenges in meandering channels research. Geomorphology 163, 19.Google Scholar
Hooke, J. M. 1986 The significance of mid-channel bars in meandering channels. Sedimentology 33, 839850.Google Scholar
Ikeda, S., Parker, G. & Sawai, K. 1981 Bend theory of river meanders. Part 1. Linear development. J. Fluid Mech. 112, 363377.Google Scholar
Jang, C. L. & Shimizu, Y. 2005 Numerical simulation of relatively wide, shallow channels with erodible banks. J. Hydraul. Engng 31 (7), 565575.Google Scholar
Jones, E., Oliphant, T. & Peterson, P.2001 SciPy: Open source scientific tools for Python.Google Scholar
Kinoshita, R.1961 Investigation of channel deformation in the Ishikari River. Tech. Rep. 36. Nat. Resour. Div., Ministry of Science and Technology of Japan.Google Scholar
Knighton, A. D. 1972 Changes in a braided reach. Geol. Soc. Am. Bull. 83, 38133822.Google Scholar
Lagasse, P. F., Zevenbergen, L. W., Spitz, W. J., Thorne, C. R., Associates, A. & Collins, F.2004 Handbook for Predicting Stream Meander Migration. Tech. Rep. National cooperative highway research program.Google Scholar
Lauer, J. W. & Parker, G. 2008 Net local removal of floodplain sediment by river meander migration. Geomorphology 96 (1–2), 123149.Google Scholar
Luchi, R., Bolla Pittaluga, M. & Seminara, G. 2012 Spatial width oscillations in meandering rivers at equilibrium. Water Resour. Res. 48 (5), w05551.Google Scholar
Luchi, R., Hooke, J. M., Zolezzi, G. & Bertoldi, W. 2010a Width variations and mid-channel bar inception in meanders: River Bollin (UK). Geomorphology 119 (1-2), 18.Google Scholar
Luchi, R., Zolezzi, G. & Tubino, M. 2010b Modelling mid-channel bars in meandering channels. Earth Surf. Process. Landf. 35 (8), 902917.Google Scholar
Luchi, R., Zolezzi, G. & Tubino, M. 2011 Bend theory of river meanders with spatial width variations. J. Fluid Mech. 681, 311339.Google Scholar
Meyer-Peter, E. & Müller, R. 1948 Formulas for bed-load transport. In Proc. 2nd Meeting IAHSR, pp. 126.Google Scholar
Monegaglia, F., Zolezzi, G., Güneralp, I., Henshaw, A. J. & Tubino, M. 2018 Automated extraction of meandering river morphodynamics from multitemporal remotely sensed data. Environ. Model. Software 105, 171186.Google Scholar
Mosselman, E.1992 Mathematical modelling of morphological processes in rivers with erodible cohesive banks. Tech. Rep. Delft Univ. of Technol.Google Scholar
Mosselman, E. 1998 Morphological modelling of rivers with erodible banks. Hydrol. Process. 12 (8), 13571370.Google Scholar
Motta, D., Abad, J. D. & Garcia, M. H. 2012 A simplified 2D model for meander migration with physically-based bank evolution. Geomorphology 163–164, 1025.Google Scholar
Parker, G. 1990 Surface-based bedload transport relation for gravel rivers. J. Hydraul Res. 28 (4), 417436.Google Scholar
Parker, G., Shimizu, Y., Wilkerson, G. V., Eke, E. C., Abad, J. D., Lauer, J. W., Paola, C., Dietrich, W. E. & Voller, V. R. 2011 A new framework for modeling the migration of meandering rivers. Earth Surf. Process. Landf. 36 (1), 7086.Google Scholar
Partheniades, E. & Paaswell, R. E. 1970 Erodibility of channels with cohesive boundary. J. Hydraul. Div. 96 (3), 755771.Google Scholar
Repetto, R., Tubino, M. & Paola, C. 2002 Planimetric instability of channels with variable width. J. Fluid Mech. 457, 79109.Google Scholar
Richards, K. 1976 Channel width and the riffle-pool sequence. Geol. Soc. Am. Bull. 87, 883890.Google Scholar
Rüther, N. & Olsen, N. R. B. 2007 Modeling free-forming meander evolution in a laboratory channel using three-dimensional computational fluid dynamics. Geomorphology 89 (3–4), 308319.Google Scholar
Seminara, G. 2006 Meanders. J. Fluid Mech. 554, 271297.Google Scholar
Seminara, G. & Tubino, M. 1989 Alternate Bars and Meandering, pp. 267320. American Geophysical Union.Google Scholar
Seminara, G. & Tubino, M. 1992 Weakly nonlinear theory of regular meanders. J. Fluid Mech. 244, 257288.Google Scholar
Seminara, G., Zolezzi, G., Tubino, M. & Zardi, D. 2001 Downstream and upstream influence in river meandering. Part 2. Planimetric development. J. Fluid Mech. 438, 213230.Google Scholar
Talmon, A. M., Struiksma, N. & Van Mierlo, M. C. L. M. 1995 Laboratory measurements of the direction of sediment transport on transverse alluvial-bed slopes. J. Hydraul Res. 33 (4), 495517.Google Scholar
Yalin, M. S.1992 River mechanics. Pergamon press.Google Scholar
Zen, S., Gurnell, A., Zolezzi, G. & Surian, N. 2017 Exploring the role of trees in the evolution of meander bends: the tagliamento river, italy. Water Resour. Res. 53 (7), 59435962.Google Scholar
Zen, S., Zolezzi, G., Toffolon, M. & Gurnell, A. 2016 Biomorphodynamic modelling of inner bank advance in migrating meander bends. Adv. Water Resour. 93, 166181.Google Scholar
Zolezzi, G.2000 River meander morphodynamics. PhD thesis, University of Genova.Google Scholar
Zolezzi, G., Bertoldi, W. & Tubino, M. 2012a Morphodynamics of bars in gravel-bed rivers: bridging analytical models and field observations. In Gravel-Bed Rivers: Processes, Tools, Environments, pp. 6989.Google Scholar
Zolezzi, G., Guala, M., Termini, D. & Seminara, G. 2005 Experimental observations of upstream overdeepening. J. Fluid Mech. 531, 191219.Google Scholar
Zolezzi, G., Luchi, R. & Tubino, M. 2009 Morphodynamic regime of gravel bed, single-thread meandering rivers. J. Geophys. Res. 114 (F1), F01005.Google Scholar
Zolezzi, G., Luchi, R. & Tubino, M. 2012b Modeling morphodynamic processes in meandering rivers with spatial width variations. Rev. Geophys. 50 (4), 2012RG000392.Google Scholar
Zolezzi, G. & Seminara, G. 2001 Downstream and upstream influence in river meandering. Part 1. General theory and application to overdeepening. J. Fluid Mech. 438, 183211.Google Scholar
Supplementary material: File

Monegaglia et al. supplementary material

Monegaglia et al. supplementary material 1

Download Monegaglia et al. supplementary material(File)
File 547.3 KB