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1 - Introduction

Published online by Cambridge University Press:  24 November 2022

Vijay P. Singh
Affiliation:
Texas A & M University
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Summary

Hydraulic geometry is a quantitative description of the variation of river characteristics with variation in discharge and sediment load. It is impacted by climate, geology, and human interference. Hydraulic geometry relations have been expressed in power form and have been derived using a multitude of hypotheses. These relations play a fundamental role in the design of alluvial canals, river training works, and watershed management. The objective of this chapter is to introduce preliminary concepts that are deemed important for understanding different aspects of hydraulic geometry.

Type
Chapter
Information
Handbook of Hydraulic Geometry
Theories and Advances
, pp. 1 - 29
Publisher: Cambridge University Press
Print publication year: 2022

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References

Allan, J. D. (1995). Channels and flow, the transport of materials. In: Stream Ecology, Structure and Function of Running Waters, pp. 812, Chapman & Hall Publishing, London.Google Scholar
Allen, P. M., Arnold, J. G., and Byars, B. W. (1994). Downstream channel geometry for use of in planning-level models. Water Resources Bulletin, Vol. 30, No. 4, pp. 663671.CrossRefGoogle Scholar
Bathurst, J. C. (1978). Flow resistance of large-scale roughness. Journal of Hydraulics Division, ASCE, pp. 1587–1604.CrossRefGoogle Scholar
Begin, Z. B. (1981). The relationship between flow-shear and stream pattern. Journal of Hydrology, Vol. 52, Nos. 3 and 4, pp. 307319.CrossRefGoogle Scholar
Benson, M. A. (1962). Factors influencing the occurrence of floods in a humid region of diverse terrain. U.S. Geological Survey Water Supply Paper 1580-B, Washington, DC.Google Scholar
Betson, R. P. (1979). A geomorphic model for use in streamflow routing. Water Resources Research, Vol. 15, No. 1, pp. 95101.CrossRefGoogle Scholar
Bhowmik, N. G. (1984). Hydraulic geometry of floodplains. Journal of Hydrology, Vol. 68, pp. 369401.CrossRefGoogle Scholar
Bogardi, J. (1984). Mobile-Bed Fluviology. University of Alberta Press, Edmonton.Google Scholar
Bradley, W. C., Fahnestock, R. K., and Rowekamp, E. T. (1972). Coarse sediment transport by flood flows on Knik River, Alaska. Geological Society of America Bulletin, Vol. 83, pp. 12611284.CrossRefGoogle Scholar
Carlston, C. W. (1969). Downstream variations in the hydraulic geometry of streams: Special emphasis on mean velocity. American Journal of Science, Vol. 267, pp. 499509.CrossRefGoogle Scholar
Chang, H. H. (1988). Fluvial Processes in River Engineering. John Wiley & Sons, New York.Google Scholar
Chin, A., Horrie, D. L., Trice, T. H., and Given, J. L. (2002). Adjustment of stream channel capacity following dam closure, Yegua Creek, Texas. Journal of the American Water Resources Association, Vol. 38, No. 6, pp. 15211531.Google Scholar
Chitale, S. V. (1970). River channel patterns. Proceedings of Hydraulics Division, ASCE, Vol. 96, No. HY1, pp. 201222.CrossRefGoogle Scholar
Chitale, S. V. (1973). Theories and relationships of river channel patterns. Journal of Hydrology, Vol. 19, pp. 285308.Google Scholar
Chong, S. E. (1970). The width, depth and velocity of Sungei Kimla, Perak. Geographica, Vol. 6, pp. 7263.Google Scholar
Church, M. and Kellerhals, R. (1978). On the statistics of grain size variation along a gravel river. Canadian Journal of Earth Sciences, Vol. 15, pp. 11511160.CrossRefGoogle Scholar
Dingman, S. L. (2002). Physical Hydrology. Prentice Hall, Upper Saddle River, NJ.Google Scholar
Dodov, B. and Foufoula-Geogiou, E. (2004a). Generalized hydraulic geometry: Derivation based on multiscaling formalism. Water Resources Research, Vol. 40, W06302, https://doi.org/10.1029/2003WR002082.Google Scholar
Dodov, B. and Foufoula-Geogiou, E. (2004b). Generalized hydraulic geometry: Insights based on fluvial instability analysis and a physical model. Water Resources Research, Vol. 40, W12201, https://doi.org/10.1029/2004WR003196.CrossRefGoogle Scholar
Doyle, M. W., Stanley, E. H., and Harbor, J. M. (2002). Geomorphic analogies for assessing probable channel response to dam removal. Journal of the American Water Resources Association, Vol. 38, No. 6, pp. 15671579.CrossRefGoogle Scholar
Doyle, M. W., Stanley, E. H., and Harbor, J. M. (2003). Channel adjustments following two dam removals in Wisconsin. Water Resources Research, Vol. 39, No. 1, https://doi.org/10.1029/2002WR001714.CrossRefGoogle Scholar
Dury, G. H. (1976). Discharge prediction, present and former, from channel dimensions. Journal of Hydrology, Vol. 30, pp. 219245.CrossRefGoogle Scholar
Ellis, E. R. and Church, M. (2005). Hydraulic geometry of secondary channels of lower Fraser River, British Columbia, from acoustic Doppler profiling. Water Resources Research, Vol. 41, W08421, https://doi.org/10.1029/2004WR0003777, pp. 115CrossRefGoogle Scholar
Emmett, W. W. (1975). The channels and waters of the Upper Salmon River area, Idaho. U.S. Geological Survey Professional Paper 870A, Washington, DC.Google Scholar
Ferguson, R. I. (1986). Hydraulics and hydraulic geometry. Progress in Physical Geography, Vol. 10, p. 1031,Google Scholar
Gleason, C. J. (2015). Hydraulic geometry of natural rivers: A review and future directions. Progress in Physical Geography, Vol. 39, No. 3, pp. 337360.Google Scholar
Gleason, C. J. and Smith, L. C. (2014). Towards global mapping of river discharge using satellite images and at-many station hydraulic geometry. Proceedings of the National Academy of Sciences, Vol. 111, pp. 47884791.CrossRefGoogle Scholar
Griffiths, G. A. (1983). Stable channel design in alluvial rivers. Journal of Hydrology, Vol. 65, pp. 259270.Google Scholar
Hack, J. T. (1957). Studies of longitudinal stream profiles in Virginia and Maryland. U.S. Geological Survey Professional Paper 294-B, pp. 45–67.CrossRefGoogle Scholar
Harman, C., Stewardon, M., and DeRose, R. (2008). Variability and uncertainty in reach bankfull hydraulic geometry. Journal of Hydraulic Geometry, Vol. 351, pp. 1325.Google Scholar
Heede, B. D. (1972). Influences of a forest on the hydraulic geometry of two mountain streams. Water Resources Bulletin, Vol. 8, No. 3, pp. 523530.CrossRefGoogle Scholar
Howard, A. D. (1980). Thresholds in river regimes. In: Thresholds in Geomorphology, edited by Coates, D. R. and Vitek, J. D., pp. 227258, Allen and Unwin, Winchester, MA.Google Scholar
Jowett, I. G. (1998). Hydraulic geometry of New Zealand rivers and its use as a preliminary method of habitat assessment. Regulated Rivers: Research and Management, Vol. 14, pp. 451466.Google Scholar
Klein, M. (1981). Drainage area and the variation of channel geometry downstream. Earth Surface Processes and Landforms, Vol. 6, pp. 589593.Google Scholar
Knighton, A. D. (1972). Changes in braided reach. Geological Society of America Bulletin, Vol. 83, pp. 38133922.Google Scholar
Knighton, A. D. (1974). Variation in width-discharge relation and some implications for hydraulic geometry. Geological Society of America Bulletin, Vol. 85, pp. 10691076.2.0.CO;2>CrossRefGoogle Scholar
Knighton, A. D. (1975). Variations in at-a-station hydraulic geometry. American Journal of Science, Vol. 275, pp. 186218.Google Scholar
Knighton, A. D. (1980). Longitudinal changes in size and sorting of stream-bed material in four English rivers. Geological Society of America Bulletin, Vol. 91, pp. 5562.Google Scholar
Knighton, A. D. (1987). River channel adjustment: The downstream dimension. In: River Channels: Environment and Process, edited by Richards, K. S., pp. 95128, Basil Blackwell, Oxford.Google Scholar
Kolberg, F. J. and Howard, A. D. (1995). Active channel geometry and discharge relations of U.S. piedmont and midwestern streams: The variable exponent model revisited. Water Resources Research, Vol. 31, No. 9, pp. 23532365.Google Scholar
Lane, L. J. and Foster, G. R. (1980). Modeling channel processes with changing land use. Proceedings, ASCE Symposium on Watershed Management, Vol. 1, pp. 200214.Google Scholar
Langbein, W. B. (1964). Geometry of river channels. Journal of the Hydraulics Division, ASCE, Vol. 90, No. HY2, pp. 301311.Google Scholar
Leopold, L. H. (1953). Downstream change of velocity in rivers. American Journal of Science, Vol. 25, pp. 606624.Google Scholar
Leopold, L. B. and Maddock, T. J. (1953). Hydraulic geometry of stream channels and some physiographic implications. U.S. Geological Survey Professional Paper, Vol. 252, p. 55.Google Scholar
Leopold, L. B. and Wolman, M. G. (1957). River channel patterns: braided, meandering and straight. U.S. Geological Survey Professional Paper, Vol. 282-B, pp. 3959.Google Scholar
Li, J., Xia, J., Zhou, M., Deng, S., and Wang, Z. (2018). Channel geometry adjustment in response to hyperconcentrated floods in a braided reach of the Lower Yellow River. Progress in Physical Geography, Vol. 42, No.3, pp. 352368.Google Scholar
Li, Z. and Li, Z. (2004). Geomorphic thresholds for channel evolution in the Lower Yellow River. International Journal of Sediment Research, Vol. 19, No. 3, pp. 191201.Google Scholar
Lindley, E. S. (1919). Regime channels. Proceedings, Punjab Engineering Congress, Vol. 7, p. 68.Google Scholar
McConkey, S. A. and Singh, K. P. (1992). Alternative approach to the formulation of basin hydraulic geometry equations. Water Resources Bulletin, Vol. 28, No. 2, pp. 305312.Google Scholar
Mackin, J. H. (1963). Rational and empirical methods of investigation in geology. In: The Fabric of Geology, edited by Albritton, C. C. Jr., Addison-Wesley Publishing Co., Reading, MA, pp. 135163.Google Scholar
Millar, R. G. (2000). Influence of bank vegetation on alluvial channel patterns. Water Resources Research, Vol. 36, No. 4, pp. 11001118.Google Scholar
Millar, R. G. and Quick, M. C. (1993). Effect of bank stability on geometry of gravel rivers. Journal of Hydraulic Engineering, Vol. 119, No. 2, pp. 13431363.CrossRefGoogle Scholar
Miller, T. K. and Onesti, L. J. (1979). The relationship between channel shape and sediment characteristics in the channel perimeter. Geological Society of America Bulletin, Vol. 90, pp. 310304.Google Scholar
Mosley, M. P. (1982). Analysis of the effect of changing discharge on channel morphology and instream uses in a braided river, Ohau River, New Zealand. Water Resources Research, Vol. 8, No. 4, pp. 800812.Google Scholar
Mosley, M. P. (1983). Flow measurements for recreation and wildlife in New Zealand rivers: A review. Journal of Hydrology (N.Z.), Vol. 22, pp. 152174.Google Scholar
Nanson, G. C. and Hickin, E. J. (1983). Channel migration and incision on Beatton River. Journal of Hydraulic Engineering, Vol. 109, pp. 327337.CrossRefGoogle Scholar
Nanson, G. C. and Huang, H. Q. (1999). Anabranching rivers: Divided efficiency leading to fluvial diversity. In: Varieties of Fluvial Form, edited by Miller, A. J. and Gupta, A., Wiley, Chichester.Google Scholar
Navratil, O. and Albert, M. B. (2010). Non-linearity of reach hydraulic geometry relations. Journal of Hydrology, Vol. 388, pp. 280290.Google Scholar
Nordin, C. F., Meade, R. H., Curtis, W. F., Bosio, N. J., and Landin, P. M. B. (1980). Size distribution of Amazon River bed sediment. Nature, Vol. 286, pp. 5253.CrossRefGoogle Scholar
Osterkamp, W. R. and Hedman, E. R. (1982). Perennial-streamflow characteristics related to channel geometry and sediment in Missouri River basins. U.S. Geological Survey Professional Paper 1242, pp. 37, Washington, DC.Google Scholar
Paik, K. and Kumar, P. (2004). Hydraulic geometry and nonlinearity of the network instantaneous response. Water Resources Research, Vol. 40, W03602, pp. 17.Google Scholar
Park, C. C. (1977). World-wide variations in hydraulic geometry exponents of stream channels: An analysis and some observations. Journal of Hydrology, Vol. 33, pp. 133146.CrossRefGoogle Scholar
Parker, G. (1978). Self-formed rivers with equilibrium banks and mobile bed: Part II. The gravel river. Journal of Fluid Mechanics, Vol. 76, No. 3, pp. 457480.Google Scholar
Parker, G. (1979). Hydraulic geometry of active gravel rivers. Journal of Hydraulic Division, Proc. ASCE, Vol. 105, No. HY9, pp. 11851201.Google Scholar
Phillips, P. J. and Harlan, J. M. (1984). Spatial dependency of hydraulic geometry exponents in a subalpine stream. Journal of Hydrology, Vol. 71, pp. 277283.CrossRefGoogle Scholar
Pitlick, J. and Cress, R. (2002). Downstream changes in the channel geometry of a large gravel bed river. Water Resources Resseacrh, Vol. 38, No. 10, 1216, https://doi:10.1029/2001WR000898.Google Scholar
Ponton, J. R. (1972). Hydraulic geometry in the Green and Birkenhead river basins, British Columbia. In: Mountain Geomorphology: Geomorphological Processes in the Canadian Zcordillera, edited by Slaymaker, H. O. and McPherson, H. J., pp. 151160, Tantalus Research Limited, Vancouver.Google Scholar
Qi, P., Liang, G., Sun, Z., and Qi, H. (2002). The forming conditions of alluvial river channel patterns. International Journal of Sediment Research, Vol. 17, No. 1, pp. 8388.Google Scholar
Rana, S. A., Simons, D. B., and Mahmood, K. (1973). Analysis of sediment sorting in alluvial channels. Journal of Hydraulics Division, ASCE, Vol. 99, pp. 19671980.CrossRefGoogle Scholar
Rhoads, B. L. (1991). A continuously varying parameter model of downstream hydraulic geometry. Water Resources Research, Vol. 27, No. 8, pp. 18651872.CrossRefGoogle Scholar
Rhodes, D. D. (1978). Worldwide variations in hydraulic geometry exponents of stream channels: an analysis and some observations: Comments. Journal of Hydrology, Vol. 33, pp. 133146.Google Scholar
Richards, K. S. (1973). Hydraulic geometry and channel roughness: A nonlinear system. American Journal of Science, Vol. 273, pp. 877896.Google Scholar
Richards, K. S. (1976). Complex width-discharge relations in natural river sections. Geological Society of America Bulletin, Vol. 87, pp. 199206.Google Scholar
Richards, K. S. (1977). Channel and flow geometry: a geomorphologic perspective. Progress in Physical Geography, Vol. 1, pp. 65102.Google Scholar
Richards, K. S. (1982). Rivers: Form and Process in Alluvial Channels. Metheun, London.Google Scholar
Rosgen, D. L. (1990). A classification of natural rivers. Catena, Vol. 22, pp. 169190.Google Scholar
Rosenfield, J. S., Post, J., Robins, G., and Hatfield, T. (2007). Hydraulic geometry as a physical template for the river continuum: Application to optimal flows and longitudinal trends in salmonid habitat. Canadian Journal of Fish Aquaculture Science, Vol. 64, pp. 755767.Google Scholar
Saco, P. M. and Kumar, P. (2002a). Kinematic dispersion in stream networks: 1. Coupling hydraulic and network geometry. Water Resources Research, Vol. 38, No. 11, pp. 26-1.Google Scholar
Saco, P. M. and Kumar, P. (2002b). Kinematic dispersion in stream networks: 2. Scale sizes and self-similar network organization. Water Resources Research, Vol. 38, No. 11, pp. 27-1.Google Scholar
Saco, P. M. and Kumar, P. (2004). Kinematic dispersion effects of hillslope velocities. Water Resources Research, Vol. 40, WO1301.Google Scholar
Schumm, S. A. (1960). The shape of alluvial channels in relation to sediment type. U.S. Geological Survey Professional Paper 352B, pp. 17–30.CrossRefGoogle Scholar
Schumm, S. A. (1973). Geomorphic thresholds and complex response of drainage systems. Journal of Sediment Research, Vol. 3, pp. 3943.Google Scholar
Simons, D. B. and Senturk, F. (1977). Sediment Transport Technology. Water Resources Publications, Highlands Ranch, CO.Google Scholar
Singh, V. P. (2003). On the theories of hydraulic geometry. International Journal of Sediment Research, Vol. 18, No. 3, pp. 196218.Google Scholar
Stall, J. B. and Fok, Y.-S. (1968). Hydraulic Geometry of Illinois Streams. University of Illinois Water Resources Center, Research Report No. 15.Google Scholar
Stall, J. B. and Yang, C. T. (1970). Hydraulic Geometry of 12 Selected Stream Systems of the United States. University of Illinois Water Resources Research Center, Research Report No. 32.Google Scholar
Stout, H. P. (1979). Prediction of oxygen deficits associated with effluent inputs to the rivers of the Forth catchment. Proceedings of the Institution of Civil Engineers, Part 3, Vol. 67, pp. 5164.CrossRefGoogle Scholar
Thornes, J. B. (1970). The hydraulic geometry of stream channels in the Xingu-Araguaia headwaters. The Geographical Journals, Vol. 136, pp. 376382.Google Scholar
Thornes, J. B. (1977). Hydraulic geometry and channel change. In: River Channel Changes, edited by Gregory, K. J., pp. 91100, John Wiley & Sons, New York.Google Scholar
Trimble, S. W. (1975). Denudation studies: Can we assume stream steady state? Science, Vol. 188, pp. 12071208.Google Scholar
Trimble, S. W. (1983). A sediment budget for Coon Creek basin in the Driftless Area, Wisconsin, 1853–1977. American Journal of Science, Vol. 283, pp. 454474.Google Scholar
Walling, D. (1983). The sediment delivery problem. Journal of Hydrology, Vol. 65, pp. 209237.CrossRefGoogle Scholar
Western, A. W., Finlayson, B. L., McMahon, T. A., and O’Neill, I. C. (1997). A method for characterizing longitudinal irregularity in river channels. Geomorphology, Vol. 21, pp. 3951.Google Scholar
Wilcock, D. N. (1971). Investigation into the relation between bedload transport and channel shape. Geological Society of America Bulletin, Vol. 82, pp. 21592176.Google Scholar
Wohl, E. and Merritt, D. M. (2008). Reach-scale channel geometry of mountain streams. Geomorphology, Vol. 93, pp. 168185.Google Scholar
Wolman, M. G. (1955). The natural channel of Brandywine Creek, Pennsylvania. U. S. Geological Survey Professional Paper 271, Washington, DC.Google Scholar
Yang, C. T., Song, C. C., and Woldenberg, M. T. (1981). Hydraulic geometry and minimum rate of energy dissipation. Water Resources Research, Vol. 17, pp. 877896.Google Scholar
Yatsu, E. (1955). On the longitudinal profile of the graded river. Transactions of the American Geophysical Union, Vol. 36, pp. 655663.Google Scholar
Yu, B. and Wolman, M. G. (1987). Some dynamic aspects of river geometry. Water Resources Research, Vol. 23, No. 3, pp. 501509.Google Scholar

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  • Introduction
  • Vijay P. Singh, Texas A & M University
  • Book: Handbook of Hydraulic Geometry
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781009222136.002
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  • Introduction
  • Vijay P. Singh, Texas A & M University
  • Book: Handbook of Hydraulic Geometry
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781009222136.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Vijay P. Singh, Texas A & M University
  • Book: Handbook of Hydraulic Geometry
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781009222136.002
Available formats
×