Hydrodynamics of Alluvial Channel with Downward Seepage

Experimental investigation has been carried out in a 20 m long, 1 m wide, and 0.72 m deep flume on three sands of median diameter 1.1 mm, 0.418 mm, and 0.62 mm in two categories: no seepage experiments to check the stability of curvilinear cross-sectional channels with different top widths and when seepage is applied in the downward direction to these channels. Longitudinal and cross-sectional profiles of alluvial channels are altered by the presence of downward seepage. Available literature suggests that seepage affects the hydrodynamics of alluvial channels. In the present experimental study, downward seepage has been applied to the parabolic channels based on tractive force theory for finding its effect on the cross-sectional profiles of stable channels. It has been observed that bed shear stress increased when downward seepage was applied to the channel. Cross-sectional parabolic shape does not hold when downward seepage is applied and channels take a new shape with flat-bed and two curved banks and achieve stability. An empirically derived exponential expression has also been suggested for the evaluation of bank profiles of threshold alluvial channels affected by the downward seepage which satisfactorily predicts the bank profiles at various cross-sections of the natural alluvial rivers. The relationship among hydraulic parameters for stable channel with downward seepage has also been developed on the basis of experimental observations. At high bed shear stress in alluvial channels made of the non-cohesive material, sediment transport occurs as sheet flow layer of high sediment concentration. The sediment transport in the form of sheet flow has been observed in the present study when downward seepage was applied to the non-transporting channels designed on the basis of incipient motion condition of the bed particles. The erosion of the channel banks contributed to the sheet flow because of the increased channel bed shear stress. An empirical relation for the thickness of sheet flow layer has been developed which includes seepage in the downward direction as an independent parameter along with others. Regime relationships have been developed in the non-dimensional and dimensional form for the design of alluvial channels in the presence of downward seepage. Turbulent structures of the flow have been analyzed in curved sand bed channels with and without the presence of downward seepage. Measures of turbulent

[1]  Subhasish Dey,et al.  Characteristics of Loose Rough Boundary Streams at Near-Threshold , 2007 .

[2]  Gregorio G. Vigilar,et al.  Hydraulic Geometry of Threshold Channels , 1992 .

[3]  Manning,et al.  A CONTRIBUTION TO REGIME THEORY RELATING PRINCIPALLY TO CHANNEL GEOMETRY. , 1980 .

[4]  G. Griffiths Extremal Hypotheses for River Regime: An Illusion of Progress , 1984 .

[5]  Kenneth C. Wilson,et al.  Analysis of Bed‐Load Motion at High Shear Stress , 1987 .

[6]  Terence R. Smith A Derivation of the Hydraulic Geometry of Steady-State Channels from Conservation Principles and Sediment Transport Laws , 1974, The Journal of Geology.

[7]  Willi H. Hager,et al.  ALLUVIAL CHANNEL GEOMETRY : THEORY AND ApPLICATIONS , 2001 .

[8]  Maurice L. Albertson,et al.  Uniform Water Conveyance Channels in Alluvial Materials , 1960 .

[9]  A. R. Nowell,et al.  FLUMES : THEORETICAL AND EXPERIMENTAL CONSIDERATIONS FOR SIMULATION OF BENTHIC ENVIRONMENTS* , 1987 .

[10]  S. M. Rao,et al.  Theory and experiment in canal seepage estimation using radioisotopes , 1969 .

[11]  K. Wilson,et al.  DERIVATION OF THE REGIME EQUATIONS FROM RELATIONSHIPS FOR PRESSURIZED FLOW BY USE OF THE PRINCIPLE OF MINIMUM ENERGY - DEGRADATION RATE. , 1967 .

[12]  Yee-Meng Chiew,et al.  Modified Logarithmic Law for Velocity Distribution Subjected to Upward Seepage , 1998 .

[13]  P. Prinos Bed-Suction Effects on Structure of Turbulent Open-Channel Flow , 1995 .

[14]  Howard H. Chang Minimum stream power and river channel patterns , 1979 .

[15]  Howard H. Chang Geometry of Rivers in Regime , 1979 .

[16]  B. Eaton,et al.  A graded stream response relation for bed load–dominated streams , 2004 .

[17]  Manoj Kumar,et al.  Transient Canal Seepage to Sloping Aquifer , 1994 .

[18]  A. G. Maclean Open channel velocity profiles over a zone of rapid infiltration , 1991 .

[19]  Shinji Sato,et al.  A sheetflow sediment transport model for skewed-asymmetric waves combined with strong opposite currents , 2013 .

[20]  Hubert H. G. Savenije,et al.  The width of a bankfull channel; Lacey's formula explained , 2003 .

[21]  Per-Åge Krogstad,et al.  Some effects of localized injection on the turbulence structure in a boundary layer , 2000 .

[22]  S. Cao,et al.  Design for Hydraulic Geometry of Alluvial Channels , 1998 .

[23]  J. Whittaker,et al.  Origin of step-pool systems in mountain streams , 1982 .

[24]  A. J. Sutherland,et al.  Extremal hypotheses for river behavior , 1983 .

[25]  Howard H. Chang Geometry of Gravel Streams , 1980 .

[26]  R. Antonia,et al.  Influence of localised wall suction on the anisotropy of the Reynolds stress tensor in a turbulent boundary layer , 2004 .

[27]  E. W. Lane Progress Report on Studies on the Design of Stable Channels by the Bureau of Reclamation , 1953 .

[28]  G. Islam Predicting downstream hydraulic geometry of the Gorai river , 2005 .

[29]  L. B. Leopold,et al.  The hydraulic geometry of stream channels and some physiographic implications , 1953 .

[30]  Maurice L. Albertson,et al.  Uniform Water Conveyance Channels in Alluvial Material , 1963 .

[31]  R. Gaudio,et al.  Turbulence in mobile-bed streams , 2012, Acta Geophysica.

[32]  Miguel A. Mariño,et al.  Stable Width of an Alluvial Channel , 1997 .

[33]  Y. Chiew,et al.  Suction Effects on Sediment Transport in Closed-Conduit Flows , 2014 .

[34]  Vijay,et al.  ON THE THEORIES OF HYDRAULIC GEOMETRY , 2003 .

[35]  R. Millar Theoretical regime equations for mobile gravel-bed rivers with stable banks , 2005 .

[36]  V. Singh,et al.  Downstream hydraulic geometry relations: 2. Calibration and testing , 2003 .

[37]  Vijay P. Singh,et al.  Downstream hydraulic geometry relations: 1. Theoretical development , 2003 .

[38]  J. Best,et al.  Meander-Bend Evolution, Alluvial Architecture, and the Role of Cohesion in Sinuous River Channels: A Flume Study , 2007 .

[39]  W. Dietrich,et al.  Experimental evidence for the conditions necessary to sustain meandering in coarse-bedded rivers , 2009, Proceedings of the National Academy of Sciences.

[40]  Sean J. Bennett,et al.  Bed form initiation from a flat sand bed , 2005 .

[41]  Ramchand Oad,et al.  Using an ADCP to determine canal seepage loss in an irrigation district , 2010 .

[42]  Thomas Blench,et al.  Regime behaviour of canals and rivers , 1957 .

[43]  D. W. Knight,et al.  GEOMETRY OF SELF-FORMED STRAIGHT THRESHOLD CHANNELS IN UNIFORM MATERIAL. , 1998 .

[44]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[45]  Vijay P. Singh,et al.  Hydraulic Geometry Relations for Stable Channel Design , 2010 .

[46]  Rolf Kellerhals,et al.  Stable Channels with Gravel-Paved Beds , 1967 .

[47]  J. Ribberink,et al.  Mobile-bed effects in oscillatory sheet flow , 2001 .

[48]  Jørgen Fredsøe,et al.  Influence of turbulence on bed load sediment transport , 2003 .

[49]  G. Parker HYDRAULIC GEOMETRY OF ACTIVE GRAVEL RIVERS , 1979 .

[50]  Kenneth C. Wilson,et al.  Bed-Load Transport at High Shear Stress , 1966 .

[51]  V. Singh,et al.  At‐a‐station hydraulic geometry relations, 1: theoretical development , 2008 .

[52]  S. Dey,et al.  Turbulence characteristics in flows subjected to boundary injection and suction , 2010 .

[53]  M. Brunke,et al.  The ecological significance of exchange processes between rivers and groundwater , 1997 .

[54]  Timothy R. H. Davies,et al.  Resistance to flow past deformable boundaries , 1980 .

[55]  C. Thorne,et al.  Stable Channels with Mobile Gravel Beds , 1986 .

[56]  Y. Chiew,et al.  Suction effects on turbulence flows over a dune bed , 2007 .

[57]  M. Bayazit,et al.  Free Surface Flow In A Channel Of Large Relative Roughness , 1976 .

[58]  G Lacey,et al.  FLOW IN ALLUVIAL CHANNELS WITH SANDY MOBILE BEDS. , 1958 .

[59]  Zeki Demirbilek,et al.  Journal of Waterway, Port, Coastal, and Ocean Engineering , 1983 .

[60]  W. White,et al.  Analytical Approach to River Regime , 1982 .

[61]  Jonas Gloeckner,et al.  Mechanics of Sediment Transport , 2020 .

[62]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[63]  Gary Parker,et al.  Effect of Seepage-Induced Nonhydrostatic Pressure Distribution on Bed-Load Transport and Bed Morphodynamics , 2008 .

[64]  G. Fipps Potential Water Savings in Irrigated Agriculture for the Rio Grande Planning Region (Region M) , 2005 .

[65]  P. J. Whiting,et al.  Bedload transport of fine gravel observed by motion-picture photography , 1988, Journal of Fluid Mechanics.

[66]  M. Gordon Wolman,et al.  Factors controlling the size and shape of stream channels in coarse noncohesive sands , 1961 .

[67]  Charles E. Smith Modeling high sinuosity meanders in a small flume , 1998 .

[68]  H. K. Moffatt,et al.  Perspectives in Fluid Dynamics , 2002 .

[69]  J Stebbings,et al.  THE SHAPES OF SELF-FORMED MODEL ALLUVIAL CHANNELS. , 1963 .

[70]  M. V. J. Rao,et al.  Hydrodynamic Effects of Seepage on Bed Particles , 1971 .

[71]  S. Abt,et al.  Inflow Seepage Influence on Straight Alluvial Channels , 1985 .

[72]  O. Reynolds On the dynamical theory of incompressible viscous fluids and the determination of the criterion , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[73]  B. Willetts,et al.  LOCAL EROSION CAUSED BY RAPID FORCED INFILTRATION , 1975 .

[74]  Robert E. Glover,et al.  Stable channel profiles , 1951 .

[75]  A. Grass Structural features of turbulent flow over smooth and rough boundaries , 1971, Journal of Fluid Mechanics.

[76]  Jørgen Fredsøe,et al.  Velocity and concentration profiles in sheet-flow layer of movable bed , 1996 .

[77]  James E. Pizzuto,et al.  Numerical simulation of gravel river widening , 1990 .

[78]  A. Rao,et al.  STABILITY AND MOBILITY OF SAND-BED CHANNELS AFFECTED BY SEEPAGE , 1999 .

[79]  O. Reynolds III. An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels , 1883, Proceedings of the Royal Society of London.

[80]  W. Brink,et al.  Influence of Suction and Blowing on Entrainment of Sand Particles , 1974 .

[81]  R. A. Antonia,et al.  Surface roughness effects in turbulent boundary layers , 1999 .

[82]  V. Nikora,et al.  Flow Turbulence over Fixed and Weakly Mobile Gravel Beds , 2000 .

[83]  J. R. French,et al.  Measurements of turbulence in the benthic boundary layer over a gravel bed and Comparison between acoustic measurements and predictions of the bedload transport of marine gravels , 1991 .

[84]  C. W. Carlston Downstream variations in the hydraulic geometry of streams; special emphasis on mean velocity , 1969 .

[85]  P. J. Whiting,et al.  Experimental studies of bed topography and flow patterns in large-amplitude meanders: 1. Observations , 1993 .

[86]  S. Dey,et al.  Near-Bed Turbulence Characteristics at the Entrainment Threshold of Sediment Beds , 2011 .

[87]  A. Kolmogorov,et al.  The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[88]  A. Shamseldin,et al.  Hydrodynamic Forces Generated on a Spherical Sediment Particle during Entrainment , 2010 .

[89]  R G Kennedy,et al.  THE PREVENTION OF SILTING IN IRRIGATION CANALS. (INCLUDING APPENDIX). , 1895 .

[90]  L. Rijn Principles of sediment transport in rivers, estuaries and coastal seas , 1993 .

[91]  V. Singh,et al.  At‐a‐station hydraulic geometry relations, 2: calibration and testing , 2008 .

[92]  P. Thorne,et al.  In situ acoustic measurements of marine gravel threshold and transport , 1989 .

[93]  W. Langbein Geometry of River Channels , 1964 .

[94]  Peter M. Allen,et al.  DOWNSTREAM CHANNEL GEOMETRY FOR USE IN PLANNING‐LEVEL MODELS , 1994 .

[95]  Peter Ackers,et al.  Sediment Transport: New Approach and Analysis , 1973 .

[96]  S. Schumm,et al.  Time, space, and causality in geomorphology , 1965 .

[97]  B. R. Hanson,et al.  THE USE OF CHANNEL CHARACTERISTICS FOR THE CALIBRATION OF INDEX VELOCITY RATINGS FOR ACOUSTIC DOPPLER VELOCITY METERS , 2008 .

[98]  Iehisa Nezu,et al.  Turbulent structure in open-channel flows , 1977 .

[99]  Fabien Anselmet,et al.  Influence of wall suction on the organized motion in a turbulent boundary layer , 1988, Journal of Fluid Mechanics.

[100]  Howard H. Chang Mathematical Model for Erodible Channels , 1982 .

[101]  Syunsuke Ikeda,et al.  Self-Formed Straight Channels in Sandy Beds , 1981 .

[102]  R. Adrian Structure of Turbulent Boundary Layers , 2013 .

[103]  Chih Ted Yang,et al.  Minimum Unit Stream Power and Fluvial Hydraulics , 1976 .

[104]  M. Raupach,et al.  Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers , 1981, Journal of Fluid Mechanics.

[105]  J. Ribberink,et al.  Phase lags in oscillatory sheet flow: experiments and bed load modelling , 2002 .

[106]  R. A. Antonia,et al.  EFFECT OF CONCENTRATED WALL SUCTION ON A TURBULENT BOUNDARY LAYER , 1995 .

[107]  Y. Chiew,et al.  Seepage effects on dune dimensions , 2007 .

[108]  Tom O'Donoghue,et al.  Concentrations in oscillatory sheet flow for well sorted and graded sands , 2004 .

[109]  Charles C. S. Song,et al.  Hydraulic geometry and minimum rate of energy dissipation , 1981 .

[110]  J. Thornes The Hydraulic Geometry of Stream Channels in the Xingu-Araguaia Headwaters , 1970 .

[111]  F. Engelund,et al.  A monograph on sediment transport in alluvial streams , 1967 .

[112]  R. Grayson,et al.  Comparison of Methods for Predicting Incipient Motion for Sand Beds , 2004 .

[113]  Ian L Turner,et al.  Comprehensive Field Study of Swash-Zone Processes. II: Sheet Flow Sediment Concentrations during Quasi-Steady Backwash , 2014 .

[114]  G. Griffiths Stable-channel design in alluvial rivers , 1983 .

[115]  Catarine M. Dohmen-Janssen,et al.  Grain size influence on sediment transport in oscillatory sheet flow; phase lags and mobile-bed effects , 1999 .

[116]  Shinji Sato,et al.  SHEETFLOW SEDIMENT TRANSPORT UNDER ASYMMETRIC WAVES AND STRONG CURRENTS , 2011 .

[117]  A. G. Maclean Bed Shear Stress and Scour Over Bed-Type River Intake , 1991 .

[118]  D. Rosgen The Natural Channel Design Method for River Restoration , 2006 .

[119]  S. Cao,et al.  Entropy-based design approach of threshold alluvial channels , 1997 .

[120]  D. Myrhaug,et al.  Mobile layer thickness in sheet flow beneath random waves , 2007 .

[121]  T. Karambas Modelling of Infiltration-Exfiltration Effects of Cross-Shore Sediment Transport in the Swash Zone , 2003 .

[122]  A. D. Heathershaw,et al.  Sea-bed noises reveal role of turbulent bursting phenomenon in sediment transport by tidal currents , 1985, Nature.

[123]  A. Rao,et al.  Variation of stream power with seepage in sand-bed channels , 2011 .

[124]  Vladimir Nikora,et al.  Turbulence Characteristics of New Zealand Gravel-Bed Rivers , 1997 .

[125]  Timothy R. H. Davies Bedform Spacing and Flow Resistance , 1980 .

[126]  A. Rao,et al.  Analysis of gradually and spatially varied flow in sand-bed channels , 2010 .

[127]  Wr White,et al.  THE FRICTIONAL CHARACTERISTICS OF ALLUVIAL STREAMS: A NEW APPROACH. , 1980 .

[128]  A. Rao,et al.  Geometry of sand-bed channels with seepage , 2011 .

[129]  M. Wolman The natural channel of Brandywine Creek, Pennsylvania , 1955 .

[130]  W. Willmarth,et al.  Measurements of the structure of the Reynolds stress in a turbulent boundary layer , 1973, Journal of Fluid Mechanics.

[131]  P. Diplas Characteristics of Self‐Formed Straight Channels , 1990 .

[132]  Z. Cao Turbulent Bursting-Based Sediment Entrainment Function , 1997 .

[133]  Chih Ted Yang,et al.  Unit Stream Power and Sediment Transport , 1972 .

[134]  K. Tanji,et al.  Agricultural Drainage Water Management in Arid and Semi-Arid Areas , 2002 .

[135]  J. F. A. Sleath,et al.  Mobile layer in oscillatory sheet flow , 1998 .

[136]  N. Cheng,et al.  Incipient sediment motion with upward seepage , 1999 .

[137]  A. David Knighton Variation in Width-Discharge Relation and Some Implications for Hydraulic Geometry , 1974 .

[138]  R. Millar,et al.  Effect of Bank Stability on Geometry of Gravel Rivers , 1993 .

[139]  C. Berenbrock Streamflow Gains and Losses in the Lower Boise River Basin, Idaho, 1996-97 , 1999 .

[140]  D. W. Moody,et al.  National Water Summary 1987: Hydrologic events and water supply and use. Annual report , 1990 .

[141]  Vladimir Nikora,et al.  Despiking Acoustic Doppler Velocimeter Data , 2002 .

[142]  M. Kleinhans,et al.  Incipient meandering and self-formed floodplains in experiments , 2010 .

[143]  W. R. Osterkamp,et al.  Fluvial Processes in River Engineering , 1989 .

[144]  Iehisa Nezu,et al.  Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows , 1977, Journal of Fluid Mechanics.

[145]  Atilla Bayram,et al.  Equivalent Roughness Height for Plane Bed under Steady Flow , 2006 .

[146]  Nian Sheng. Cheng,et al.  Seepage effect on open-channel flow and incipient sediment motion , 1997 .

[147]  J. Best On the entrainment of sediment and initiation of bed defects: insights from recent developments within turbulent boundary layer research , 1992 .

[148]  G. Parker Self-formed straight rivers with equilibrium banks and mobile bed. Part 2. The gravel river , 1978, Journal of Fluid Mechanics.

[149]  Kenneth C. Wilson,et al.  Friction of wave-induced sheet flow , 1989 .

[150]  Charles C. S. Song,et al.  Theory of Minimum Rate of Energy Dissipation , 1979 .

[151]  Syunsuke Ikeda,et al.  Incipient Motion of Sand Particles on Side Slopes , 1982 .

[152]  Lewis F. Richardson,et al.  Weather Prediction by Numerical Process , 1922 .

[153]  G. Nanson,et al.  Hydraulic geometry and maximum flow efficiency as products of the principle of least action , 2000 .

[154]  Ian L Turner Simulating the influence of groundwater seepage on sediment transported by the sweep of the swash zone across macro-tidal beaches , 1995 .

[155]  Alex J. Sutherland,et al.  Proposed mechanism for sediment entrainment by turbulent flows , 1967 .

[156]  Z. Lib,et al.  A simple model of unsteady sheet-flow sediment transport , 2002 .

[157]  G Lacey,et al.  STABLE CHANNELS IN ALLUVIUM (INCLUDES APPENDICES). , 1930 .

[158]  P. Terrio,et al.  Changes in cross-section geometry and channel volume in two reaches of the Kankakee River in Illinois, 1959-94 , 1997 .

[159]  Vijay P. Singh,et al.  Longitudinal dispersion coefficient in straight rivers , 2001 .

[160]  D. Knight,et al.  Turbulent open-channel flows with variable depth across the channel , 1991, Journal of Fluid Mechanics.

[161]  P. Ackers Experiments on Small Streams in Alluvium , 1964 .

[162]  R. L. Shreve,et al.  Role of Near‐Bed Turbulence Structure in Bed Load Transport and Bed Form Mechanics , 1995 .

[163]  Yee-Meng Chiew,et al.  Velocity Distribution of Turbulent Open-Channel Flow with Bed Suction , 2004 .

[164]  J. Chauchat,et al.  A two‐phase model for sheet flow regime based on dense granular flow rheology , 2013 .

[165]  E. W. Lane Stable Channels in Erodible Materials , 1937 .

[166]  Yee-Meng Chiew,et al.  Turbulent open-channel flow with upward seepage , 1998 .

[167]  S. Dey,et al.  Double‐averaging turbulence characteristics in seeping rough‐bed streams , 2011 .

[168]  B. Willetts,et al.  Measurement of boundary shear stress in non-uniform open channel flow , 1986 .

[169]  W. Graf Hydraulics of Sediment Transport , 1984 .

[170]  Howard H. Chang STABLE ALLUVIAL CANAL DESIGN , 1980 .

[171]  G. Tucker,et al.  Modeling the evolution of channel shape: Balancing computational efficiency with hydraulic fidelity , 2008 .