Sedimentological and fluid-dynamic implications of the turbulent bursting phenomenon in geophysical flows

The bursting process in turbulent boundary layers provides new insight on turbulence phenomena, mechanics of sedimentation, and genesis of bedforms in natural geophysical flows. Recent visualization experiments suggest that the turbulent boundary layer can be divided into an inner zone, whose essential characteristics scale with inner (wall) variables, and an outer zone, whose properties scale with the fluid-dynamic variables of the entire flow. The inner zone is distinguished by (i) a viscous sublayer displaying spanwise alternations of high-and low-speed streaks and (ii) episodic disruption by lift-ups of low-speed streaks. Oscillatory growth and breakup stages of the Stanford model of bursting characterize the turbulent structure of the outer zone. The burst cycle exists in turbulent boundary layers of all natural flows except perhaps (i) open-channel flows in the upper part of the upper flow regime and (ii) wind-generated surface waves. Fluid motions described as kolks and boils in incompressible open-channel flows correspond to the oscillatory growth stage and the late oscillatory growth and breakup stages, respectively, of the Stanford model of bursting. Supporting evidence includes (i) close similarity of gross fluid motions, (ii) equivalent scaling of boils and bursts, and (iii) intensification of boils and bursts in adverse pressure gradients and over rough beds. McQuivey's (1973) turbulence measurements show that the Eulerian integral time scale T E scales with the same outer variables as boil periodicity and burst periodicity. It is hypothesized that T E equals the mean duration of bursts at a point in the flow. Bedforms governed by the turbulent structure of the inner zone (microforms) cannot form if the sublayer is disrupted by bed roughness. The conditions for the existence of two common microforms and their spacings scale with the inner variables. Grain roughness increases the vertical intensity of the turbulence (by enhancing lift-ups) within the inner zone, thereby explaining textural differences between the coarse ripple and fine ripple bed stages of Moss (1972). Mesoforms respond to the fluid-dynamical regime in the outer zone and scale with the outer variables. The mean spacing of dunelike large-scale ripples in equilibrium open-channel flows is proportional to the boundary-layer thickness and equals the length scale formed by the product of the free-stream velocity and the boil period. Strong upward flow in a burst provides the vertical anisotropy in the turbulence which is needed to suspend sediment. Bursting promotes the entrain-ment of more and coarser sediment than tractive forces alone can accomplish.

[1]  J. Laufer,et al.  The Structure of Turbulence in Fully Developed Pipe Flow , 1953 .

[2]  D. B. Simons,et al.  Summary of alluvial channel data from flume experiments, 1956-61 , 1966 .

[3]  A. J. Raudkivi Study of Sediment Ripple Formation , 1963 .

[4]  J. Clark,et al.  A Study of Incompressible Turbulent Boundary Layers in Channel Flow , 1968 .

[5]  R. Brodkey,et al.  A visual investigation of the wall region in turbulent flow , 1969, Journal of Fluid Mechanics.

[6]  A. J. Raudkivi Bed forms in alluvial channels , 1966, Journal of Fluid Mechanics.

[7]  G. F. Jordan Large Submarine Sand Waves: Their orientation and form are influenced by some of the same factors that shape desert sand dunes. , 1962, Science.

[8]  D. B. Simons,et al.  Turbulent Structure near Smooth Boundary , 1975 .

[9]  A visual study of turbulent shear flow , 1973 .

[10]  J. Allen,et al.  Reaction, relaxation and lag in natural sedimentary systems: General principles, examples and lessons , 1974 .

[11]  E. Mollo-Christensen Intermittency in Large-Scale Turbulent Flows , 1973 .

[12]  Martin C. Miller,et al.  The threshold of sediment movement under oscillatory water waves , 1973 .

[13]  J. Southard Lift forces on suspended sediment particles in laminar flow; experiments and sedimentological interpretation , 1971 .

[14]  J. Southard,et al.  Flume Experiments on the Transition from Ripples to Lower Flat Bed with Increasing Sand Size , 1973 .

[15]  R. Bagnold The nature of saltation and of ‘bed-load’ transport in water , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  C. Gordon Intermittent momentum transport in a geophysical boundary layer , 1974, Nature.

[17]  A. S. Monin,et al.  The Atmospheric Boundary Layer , 1970 .

[18]  M. Yalin Similarity in Sediment Transport , 1971 .

[19]  L. Hwang,et al.  Closure of "Relation Between Bed Forms and Friction in Streams" , 1968 .

[20]  Stephen J. Kline,et al.  A proposed model of the bursting process in turbulent boundary layers , 1975, Journal of Fluid Mechanics.

[21]  H. Reineck,et al.  Depositional sedimentary environments , 1973 .

[22]  C. Gordon Period between bursts at high Reynolds number , 1975 .

[23]  W. Willmarth,et al.  Structure of the Reynolds Stress and the Occurrence of Bursts in the Turbulent Boundary Layer , 1975 .

[24]  Å. Sundborg The River Klarälven a Study of Fluvial Processes , 1956 .

[25]  Gerard H. Matthes,et al.  Macroturbulence in natural stream flow , 1947 .

[26]  A. H. Stride Shape and size trends for sand waves in a depositional zone of the North Sea , 1970, Geological Magazine.

[27]  J. Businger,et al.  Case Studies of a Convective Plume and a Dust Devil , 1970 .

[28]  J. Smith,et al.  Stability of a sand bed subjected to a shear flow of low Froude number , 1970 .

[29]  James M. Wallace,et al.  The wall region in turbulent shear flow , 1972, Journal of Fluid Mechanics.

[30]  Roddam Narasimha,et al.  The ‘bursting’ phenomenon in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[31]  Don Latham,et al.  Electric field perturbations of the marine atmosphere by horizontal roll vortices , 1974 .

[32]  H. Eckelmann,et al.  Some properties of truncated turbulence signals in bounded shear flows , 1974, Journal of Fluid Mechanics.

[33]  M. Hampton,et al.  The Role of Subaqueous Debris Flow in Generating Turbidity Currents , 1972 .

[34]  C. F. Nordin Statistical properties of dune profiles , 1968 .

[35]  J. Allen,et al.  The superimposition and classification of dunes formed by unidirectional aqueous flows , 1974 .

[36]  D. B. Simons,et al.  Sedimentary Structures Generated by Flow in Alluvial Channels , 1960 .

[37]  J. R. Allen Phase differences between bed configuration and flow in natural environments, and their geological relevance , 1973 .

[38]  S. J. Kline,et al.  Combined dye-streak and hydrogen-bubble visual observations of a turbulent boundary layer , 1974, Journal of Fluid Mechanics.

[39]  A. J. Moss BED‐LOAD SEDIMENTS , 1972 .

[40]  A. Jopling Laboratory Study of the Distribution of Grain Sizes in Cross Bedded Deposits , 1960 .

[41]  W. Willmarth,et al.  Structure of the Reynolds stress near the wall , 1972, Journal of Fluid Mechanics.

[42]  F. A. Schraub,et al.  The structure of turbulent boundary layers , 1967, Journal of Fluid Mechanics.

[43]  K. F. Bowden Measurements of turbulence near the sea bed in a tidal current , 1962 .

[44]  P. Komar An occurrence of "Brick Pattern" oscillatory ripple marks at Mono Lake, California , 1973 .

[45]  R. G. Jackson Largescale ripples of the lower Wabash River , 1976 .

[46]  Raul S. McQuivey,et al.  Summary of turbulence data from rivers, conveyance channels, and laboratory flumes , 1973 .

[47]  A. Heathershaw “Bursting” phenomena in the sea , 1974, Nature.

[48]  R. G. Jackson Hierarchical attributes and a unifying model of bed forms composed of cohesionless material and produced by shearing flow , 1975 .

[49]  A. K. Gupta,et al.  Spatial structure in the viscous sublayer , 1971, Journal of Fluid Mechanics.

[50]  Stephen J. Kline,et al.  The production of turbulence near a smooth wall in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[51]  J. K. Culbertson,et al.  Summary of alluvial-channel data from Rio Grande conveyance channel, New Mexico, 1965-69 , 1972 .

[52]  M. Keller,et al.  Closure of "Systematic Changes in the Beds of Alluvial Rivers" , 1958 .

[53]  H. Panofsky,et al.  The Atmospheric Boundary Layer Below 150 Meters , 1974 .

[54]  R. Bagnold An approach to the sediment transport problem from general physics , 1966 .

[55]  Philip B. Williams,et al.  Initiation of Ripples on Flat Sediment Beds , 1971 .

[56]  J. R. Allen PRIMARY CURRENT LINEATION IN THE LOWER OLD RED SANDSTONE (DEVONIAN), ANGLO‐WELSH BASIN , 1964 .

[57]  James M. Coleman,et al.  Brahmaputra River : Channel processes and sedimentation , 1969 .

[58]  R. Bagnold,et al.  The flow of cohesionless grains in fluids , 1956, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

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

[60]  R. V. Fisher,et al.  Features of coarse-grained, high-concentration fluids and their deposits , 1971 .

[61]  Ralph Markson,et al.  Atmospheric Electrical Detection of Organized Convection , 1975, Science.

[62]  R. Antonia Conditionally sampled measurements near the outer edge of a turbulent boundary layer , 1972, Journal of Fluid Mechanics.

[63]  C. Gordon Sediment entrainment and suspension in a turbulent tidal flow , 1975 .

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

[65]  J. Laufer,et al.  New Trends in Experimental Turbulence Research , 1975 .

[66]  J. Southard,et al.  FLUME STUDY OF RIPPLE PROPAGATION BEHIND MOUNDS ON FLAT SAND BEDS , 1971 .

[67]  J. Sleath Velocity measurements close to the bed in a wave tank , 1970, Journal of Fluid Mechanics.

[68]  J. V. Veen Sand waves in the North Sea , 1935 .

[69]  F. Merceret An Experimental Study of Wind Velocity Profiles over a Wavy Surface , 1972 .

[70]  J. Laufer,et al.  Mean Period of the Turbulent Production Mechanism in a Boundary Layer , 1971 .

[71]  I. N. McCave Sand waves in the North Sea off the coast of Holland , 1971 .

[72]  D. A. Haugen,et al.  An experimental study of Reynolds stress and heat flux in the atmospheric surface layer , 1971 .