Empirical analysis of the planform curvature-migration elation of meandering rivers

Water Resources Research

Volumn 45, Issue 9, 2009, Pages

  Güneralp, Inci ^a   Rhoads, Bruce L ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEND GEOMETRY; CURVATURE EFFECT; DISCRETE SIGNAL; EARTH SURFACE; EMPIRICAL ANALYSIS; EMPIRICAL RESULTS; EXPONENTIAL DECAYS; FIRST-ORDER; FLOOD-PLAINS; HIGH-ORDER; IN-CHANNELS; INPUT-OUTPUT SYSTEMS; MEANDER MIGRATION; MEANDERING RIVERS; MIGRATION PROCESS; MIGRATION RATES; SPATIAL CONVOLUTION; SPATIAL FILTERS; SPATIAL STRUCTURE; THEORETICAL MODELS; THEORETICAL STUDY; TRANSFER FUNCTION MODEL;

AGGLOMERATION; CONVOLUTION; DIFFERENCE EQUATIONS; SIGNAL PROCESSING;

RIVERS;

CURVATURE; EMPIRICAL ANALYSIS; FLOODPLAIN; FLUVIAL GEOMORPHOLOGY; MEANDER; NUMERICAL MODEL; THEORETICAL STUDY; TRANSFER FUNCTION;

EID: 72149084137     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR007533     Document Type: Article

References (53)

1. Allen, J. R. L. (Ed.) (1982), Sedimentary Structures: Their Character and Physical Basis, Elsevier Sci., New York.
2. Brice, J. C. (1974), Evolution of meander loops, Geol. Soc. Am. Bull., 85, 581-586, doi:10.1130/0016-7606(1974)85<581:EOML>2.0.CO;2.
3. Camporeale, A., and L. Ridolfi (2006), Convective nature of the planimetric instability in meandering river dynamics, Phys. Rev. E, 73(2), 026311, doi:10.1103/PhysRevE.73.026311. (Pubitemid 43320437)
4. Camporeale, C., P. Perona, A. Porporato, and L. Ridolfi (2007), Hierarchy of models for meandering rivers and related morphodynamic processes, Rev. Geophys., 45, RG1001, doi:10.1029/2005RG000185. (Pubitemid 46880877)
5. Dietrich, W. E., and J. D. Smith (1983), Influence of point bar on flow through meander bends, Water Resour. Res., 19, 1173-1192, doi:10.1029/ WR019i005p01173.
6. Dietrich, W. E., and J. D. Smith (1984), Bed load transport in a river bend, Water Resour. Res., 20, 1355-1380, doi:10.1029/WR020i010p01355.
7. Dietrich, W. E., J. D. Smith, and T. Dunne (1979), Flow and sediment transport in a sand bedded meander, J. Geol., 87, 305-315.
8. Elliott, C. M. (Ed.) (1984), River Meandering, 1046 pp., Am. Soc. of Civ. Eng., New York.
9. Engelund, F. (1974), Flow and bed topography in channel bends, J. Hydraul. Eng., 11, 1631-1648.
10. Franklin, G. F., J. D. Powell, and A. Emami-Naeini (2002), Feedback Control of Dynamical Systems, 4th ed., 912 pp., Prentice Hall, Upper Saddle River, N. J.
11. Frothingham, K. M., and B. L. Rhoads (2003), Three-dimensional flow structure and channel change in an asymmetrical compound meander loop, Embarras River, Illinois, Earth Surf. Processes Landforms, 28(6), 625-644, doi:10.1002/esp.471. (Pubitemid 36901329)
12. Furbish, D. J. (1988), River-bend curvature and migration-How are they related?, Geology, 16(8), 752-755, doi:10.1130/0091-7613(1988)016< 0752:RBCAMH>2.3.CO;2.
13. Furbish, D. J. (1991), Spatial autoregressive structure in meander evolution, Geol. Soc. Am. Bull., 103(12), 1576-1589, doi:10.1130/0016-7606(1991) 103<1576:SASIME>2.3.CO;2.
14. Güneralp, I. (2007), Curvature-migration relations and planform dynamics of meandering rivers, Ph.D. thesis, Univ. of Ill. at Urbana-Champaign, Urbana.
15. Güneralp, İ., and B. L. Rhoads (2005), The spatial structure of planform dynamics of meandering rivers, in River, Coastal and Estuarine Morphodynamics, edited by M. H. García and G. Parker, pp. 773-782, Balkema, Urbana, Ill.
16. Güneralp, İ., and B. L. Rhoads (2008), Continuous characterization of the planform geometry and curvature of meandering rivers, Geogr. Anal., 40(1), 1-25.
17. Hickin, E. J. (1974), The development of meanders in natural river channels, Am. J. Sci., 274, 414-442.
18. Hickin, E. J., and G. C. Nanson (1975), The character of channel migration on the Beatton River, northeast British Columbia, Canada, Geol. Soc. Am. Bull., 86, 487-494, doi:10.1130/0016-7606(1975)86<487:TCOCMO>2.0.CO;2.
19. Hickin, E. J., and G. C. Nanson (1984), Lateral migration of river bends, J. Hydraul. Eng., 109, 327-337.
20. Hooke, R. L. B. (1975), Distribution of sediment transport and shear stress in a meander bend, J. Geol., 83, 543-565.
21. Hooke, J. M. (1984), Changes in river meanders: A review of techniques and results of analyses, Prog. Phys. Geogr., 8, 473-508, doi:10.1177/ 030913338400800401.
22. Hooke, J. M. (1995), Processes of channel planform change on meandering channels in UK, in Changing River Channels, edited by A. Gurnell and G. Petts, pp. 87-114, John Wiley, Chichester, U. K.
23. Hooke, J. M., and A. M. Harvey (1983), Meander changes in relation to bend morphology and secondary flows, in Modern and Ancient Fluvial Systems, edited by J. D. Collinson and J. Lewin, pp. 121-132, Blackwell, Oxford, U. K.
24. Howard, A. D., and T. R. Knutson (1984), Sufficient conditions for river meandering: A simulation approach, Water Resour. Res., 20, 1659-1667.
25. Hughes, M. L., P. F. McDowell, and W. A. Marcus (2006), Accuracy assessment of georectified aerial photographs: Implications for measuring lateral channel movement in a GIS, Geomorphology, 74(1-4), 1-16, doi:10.1016/j.geomorph.2005.07.001. (Pubitemid 43240063)
26. Ikeda, S., and G. Parker (Eds.) (1989), River Meandering, Water Resour. Monogr, vol.12, 485 pp., AGU, Washington, D. C.
27. Ikeda, S., G. Parker, and K. Sawai (1981), Bend theory of river meanders. Part 1: Linear development, J. Fluid Mech., 112, 363-377, doi:10.1017/ S0022112081000451.
28. Jansen, P., L. Van Bendegom, J. Van Den Berg, M. de Vries, and A. Zanen (1979), Principles of River Engineering: The Non-Tidal Alluvial River, 509 pp., Pitman, San Francisco, Calif.
29. Kamen, E.W., and B. S. Heck (1997), Fundamentals of Signals and Systems Using MATLAB, 688 pp., Prentice Hall, Upper Saddle River, N. J.
30. Lapointe, M. F., and M. A. Carson (1986), Migration pattern of an asymmetric meandering river: The Rouge River, Quebec, Water Resour. Res., 22, 731-743, doi:10.1029/WR022i005p00731.
31. Lathi, B. P. (2005), Linear Systems and Signals, 2nd ed., 975 pp., Oxford Univ. Press, New York.
32. Lauer, W. J. (2006), Planform statistics, NCED Stream Restoration Toolbox, St. Anthony Falls Lab., Univ. of Minn., Minneapolis, Minn.
33. Leopold, L. B., andM. G.Wolman (1960),Rivermeanders, Geol. Soc. Am. Bull., 71, 769-794, doi:10.1130/0016-7606(1960)71[769:RM]2.0.CO;2.
34. Leopold, L. B., M. G. Wolman, and J. P. Miller (1964), Fluvial Processes in Geomorphology, W. H. Freeman, San Francisco, Calif.
35. Nanson, G. C., and E. J. Hickin (1983), Channel migration and incision of the Beaton River, J. Hydraul. Eng., 109, 327-337, doi:10.1061/(ASCE)0733- 9429(1983)109:3(327).
36. Odgaard, A. J. (1986), Meander-flow model. I: Development, J. Hydraul. Eng., 112(12), 1117-1136, doi:10.1061/(ASCE)0733-9429(1986) 112:12(1117).
37. Odgaard, A. J. (1987), Streambank erosion along two rivers in Iowa, Water Resour. Res., 23, 1225-1236, doi:10.1029/WR023i007p01225.
38. Olesen, K. W. (1987), Bed topography in shallow river bends, Comm. Hydraul. Geotech. Eng. 87-91, Delft Univ. of Technol., Delft, Netherlands.
39. Parker,G., and E.D.Andrews (1986),On time development ofmeander bends, J. Fluid Mech., 162, 139-156, doi:10.1017/S0022112086001970.
40. Parker, G., K. Sawai, and S. Ikeda (1982), Bend theory of river meanders. Part 2: Nonlinear deformation of finite-amplitude bends, J. Fluid Mech., 115, 303-314, doi:10.1017/S0022112082000767.
41. Parker, G., P. Diplas, and J. Akiyama (1983), Meander bends of high amplitude, J. Hydraul. Eng., 109(10), 1323-1337, doi:10.1061/(ASCE)0733- 9429(1983)109:10(1323).
42. Seminara, G. (1998), Stability and morphodynamics, Meccanica, 33, 59-99, doi:10.1023/A:1004225516566.
43. Seminara, G. (2006), Meanders, J. Fluid Mech., 554, 271-297, doi:10.1017/S0022112006008925.
44. Seminara,G., andM. Tubino (1992),Weakly nonlinear theory of regularmeanders, J. Fluid Mech., 244, 257-288, doi:10.1017/S0022112092003069.
45. Seminara, G., G. Zolezzi, M. Tubino, and D. Zardi (2001), Downstream and upstream influence in river meandering. Part 2. Planimetric development, J. Fluid Mech., 438, 213-230, doi:10.1017/S0022112001004281. (Pubitemid 32657079)
46. Smith, J. D., and S. R. McLean (1984), A model for flow in meandering streams, Water Resour. Res., 20, 1301-1315, doi:10.1029/WR020i009p01301.
47. Stearns, S. D. (2003), Digital Signal Processing with Examples in MATLAB, CRC Press, Boca Raton, Fla.
48. Strogatz, S. H. (1994), Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, 512 pp., Perseus, Cambridge, U. K.
49. Struiksma, N., K. W. Olesen, C. Flokstra, and H. J. Devriend (1985), Bed deformation in curved alluvial channels, J. Hydraul. Res., 23(1), 57-79.
50. Van Alphen, J. S. L. J., P. M. Van Bloks, and P. Hoekstra (1984), Flow and grain size pattern in a sharply curved river bend, Earth Surf. Processes Landforms, 9, 513-522, doi:10.1002/esp.3290090605.
51. Whiting, P. J., and W. E. Dietrich (1993a), Experimental studies of bed topography and flow patterns in large-amplitude meanders: 1. Observations, Water Resour. Res., 29, 3605-3614, doi:10.1029/93WR01755.
52. Whiting, P. J., and W. E. Dietrich (1993b), Experimental studies of bed topography and flow patterns in large-amplitude meanders: 2. Mechanisms, Water Resour. Res., 29, 3615-3622, doi:10.1029/93WR01756.
53. Zolezzi, G., and G. Seminara (2001), Downstream and upstream influence in river meandering. Part 1. General theory and application to overdeepening, J. Fluid Mech., 438, 183-211, doi:10.1017/S002211200100427X. (Pubitemid 32657078)