Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1970 Circulation, Effluent Diffusion and Sediment Transport: Mouth of South Pass, Mississippi River Delta. Lynn Donelson Wright Louisiana State University and Agricultural & Mechanical College Follow this and additional works at: http://digitalcommons.lsu.edu/gradschool_disstheses Recommended Citation Wright, Lynn Donelson, "Circulation, Effluent Diffusion and Sediment Transport: Mouth of South Pass, Mississippi River Delta." (1970). LSU Historical Dissertations and Theses. 1814. http://digitalcommons.lsu.edu/gradschool_disstheses/1814 This Dissertation is brought to you for free and open access by the Graduate School at LSU Digital Commons. It has been accepted for inclusion in LSU Historical Dissertations and Theses by an authorized administrator of LSU Digital Commons. For more information, please contact [email protected]. 71-3446 WRIGHT, Lynn Donelson, 1940CIRCULATION, EFFLUENT DIFFUSION AND SEDIMENT TRANSPORT: MOUTH OF SOUTH PASS, MISSISSIPPI RIVER DELTA. The Louisiana State University and Agricultural and Mechanical College, Ph.D., 1970 Geography University Microfilms, Inc., Ann Arbor, Michigan THIS DISSERTATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED CIRCULATION, EFFLUENT DIFFUSION AND SEDIMENT TRANSPORT* MOUTH OF SOUTH PASS, MISSISSIPPI RIVER DELTA A Dissertation Submitted to the Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College in partial fulfillment of the requirements for the degree of Doctor of Philosophy in The Department of Geography and Anthropology Lynn Donelson Wright B.A«, University of Miami, 19^5 M.A., University of Sydney, 1967 May, 1970 ACKNOWLEDGMENTS This study was supported by the Coastal Studies Institute of Louisiana State University under contract with the Geography Programs of the Office of Naval Research, Project No* NONR 1575(03)» Task Order No* NR 388 002, and by a Gulf Oil Corporation fellowship* The writer is indebted to Drs. William G* Mclntire and J.M* Coleman for invaluable advice and encouragement throughout the research pro gram and during the preparation of the manuscript* The writer wishes especially to thank Dr* J*M* Coleman for field assistance and for innumerable hours of consultation during which many of the con clusions presented herein were conceived. Pah American Oil Company made available the crew boat MANTARAY, aboard which the data of May 23-25 were collected. The writer is grateful to the U.S. Coast Guard for making available the U.S. Coast Guard Cutter POINT SPENCER during the period November 11-12, 1969? to the U.S. Army Corps of Engineers, New Orleans District, for essential data, and to the Louisiana Wild life and Fisheries Commission for providing lodging for field parties. Field assistance, without which the study could not have been com pleted, was rendered by Drs. J.M. Coleman, S.P. Murray, C.J. Sonu, and D.S* McArthur and by F.J• Swaye, D.J. Arndorfer, E. Weisblatt, J. Peake, and Wm. Hart. For advice and criticisms in the final prepa rations the writer is grateful to Professor R.J. Russell and Dr s. D* S. McArthur and S.P. Murray. Dr. M. Young wrote the Fortran IV pro gram which was used to calculate mixing and stratification parameters. ii TABLE OP CONTENTS JPage ACKNOWLEDGMENTS.............................................. .11 TABUS OP CONTENTS....................... ............... ill TABLES... ......... 1? FIGURES.......................................... ▼ ^ ABSTRACT......... INTRODUCTION...... 1 The Dynamic Environment of the Study Region....... •••••••• Parameter Definitions and Determinations....... ••••••••••• Data Collecting and Sampling Procedures.•••••••••••••••.••• 6 10 14- CIRCULATION AND MIXING IN THE LOWER SOUTH PASS CHANNEL......... 17 Channel Geometry....................*..«•••...... ••••••••• Seawater Intrusion.......................................... Hydraulics and Mixing in the Lower Channel.•••••...... Salt-Wedge Intrusion at High River Stage....••••••...... 18 18 22 28 VERTICAL STRATIFICATION AND MIXING SEAWARD OP THE MOUTH........ 29 Statistical Analyses and Identification of Salient Control Variables. ;••••••............ ••••••• Bottom Topography, Mixing and Stratification ••••••«•• Two-Factor Interactions............ ••••••••••••...... 29 4-3 4-5 HORIZONTAL EFFLUENT, CURRENT AND DISCHARGE PATTERNS............ 4-5 General Surface Patterns................................... Foam Lines and Fronts. .... •••••••••••••• Implications of Overall Surface Patterns ••••••••••• The Effects of Tide, Wind and Waves on Surface Patterns.,.. Current and Discharge Patterns..... .•••••«••••••••••.. 45 48 SEDIMENT TRANSPORT PATTERNS .... .......... Bed Load......,•••••••••.. . . . . . a . . . . . . ........ •••••••••••• Suspended Load........ Surface Turbidity Patterns Flocculation and "Sludge" Formation.••••••••••••••••••••••• 50 52 52 6l 6l 62 69 74 SUMMARY AND CONCLUSIONS................................... 75 REFERENCES, ............. ................ 78 ill TABLES Table 1» Page Summary Statistics and F-Ratios for Mixing, Stratification and Flow Parameters between Tidal Ebb and Flood for Stations In South Pass Channel Near the M o u t h o 25 2. Summary Statistics for Mixing and Stratification Parameters Seaward of the Mouth.*..*.********•••••••••• 31 3* Results of Analysis of Variance for Mixing and Stratification Seaward of the Mouth*•••••••■•.... 32 4A* Regression and Correlation Coefficients with No Lag Effect for Station SP November 11-12, 1969**••••••••.••.•••••••••*••••*••••. 3^ 4B* Regression and Correlation Coefficients with Three-Hour Lag Effect for Tide for Station SP 3-4, November 11-12, 1969*..................35 5. 6. Summary Statistics and Simple Correlation Coefficients for Discharge Parameters as Functions of Tide for Station SP 3-^» November 11-12, 1969........ ••••••••.•••. 60 Average Suspended Load Concentrations, River Stages and Water Temperatures for Six Observation Periods*!...•*.*•,•••••••••••••••••• 63 4v FIGURES Figure 1* Page Air photo of the mouth of South Pass showing South Pass effluent, ambient freshwater band, and Gulf w a t e r * * . . * . ..... 3 5 2* Location map of the study area. 3* River stage at New Orleans (Carrollton gage)• A* Average distribution for 19^9-1967* B. Distribution for the study period....... *....... 7 Average wind and wave regimes of coastal Louisiana. A* Wind direction and velocity (after Scruton, 1956). B. Average annual distribution of wave height and period (after Bretschneider and Gaul, 1956) C. Average monthly distribution of onshore wave energy in Mississippi Delta......... ••••••*•••• 9 5* Location of survey lines and sampling stations.... •••• 10 6* Current and cf+ cross-sectional profile in the South Pass channel on October 1, 1969* during flooding tide showing typical salt-wedge intrusion pattern and associated circulation*.••*•*.••••*••••••• 21 Water surface elevations at Head of Passes and Port Eads showing variation with tide of hydro static gradient* A* Low-stage - January 25-27* 1969* B. Normal-stage - January 31 - February 2, 1969* C* Hlgh-stage - April 19-21, 1969*•••••••••••.... 23 Current and density profiles at the mouth of South Pass (Station SPCG) on October 1, 1969* A. Flooding tide. B* Ebbing tide...... 26 0+ cross sections for line 3 at low river stage on October 2, 1969* A* Ebbing tide. B* Flooding tide*........... ••••*•••••....... 37 7* 8* 9* 10. a. cross sections for line 2. A. Low river stage (flooding tide) on October 2, 1969* B. High stage (ebbing tide) on June 30,1968........ v 38 "Figure Page . 11 a. cross sections transverse to the South Pass effluent (approximately on line 5) at low river stage on October 3# 19&9* A. Ebbing tide. B. Flooding tide..... .......................... 12. at variations with depth and time during a complete tidal cycle, November 11-12, 1969..... . 13. Generalized surface effluent patterns and location of boundaries. A. Flooding tide. B. Ebbing tide........... ............ ••••••••••• 14. Two modes of effluent expansion. A. Turbulent jet diffusion (after Albertson et ad., 1950)• B. Lateral spreading as a discrete layer (Modified by Walsh, 19&9# after Defant, 1961)•••••• 15. Current vectors transverse and along the distributary A. Ebbing tide just prior October 3# 1969* B. Flooding tide, October C. Flooding tide, October to the effluent mouth bar. to low water, 3# 19&9* 1, 1969............... . . Current vectors along line 3* 16 A. B. C. D. Ebbing tide, October 2, 19^9. Flooding tide, October 2, 19&9* Ebbing tide, February 12, 1970. Flooding tide, February 12, 1970......... ••••• 17. Freshwater and saltwater discharge vectors along line 3# October 2, 1969. A. Ebbing tide. B. Flooding tide............ 18. Freshwater and saltwater discharge vectors at 1-hour intervals for a complete tidal cycle at station SP 3-4# November 11-12, 1969...... 19. Vertical distribution of suspended-sediment concentration at the mouth of South Pass (station SPCG). A. High stage, flooding tide, May 30, 1969* B. Low stage, ebbing tide, June 30, 19&9* C. Low stage, flooding tide, June 30, 19&9* D. Low stage, ebbing .tide, February 12, 1969. E. Low stage, flooding tide, February 12, 1969.... 'Vi Figure 20. 21. 22. Page Vertical distribution of suspended-sediment concentration for line 3» July 1> 19^91 low river stage, ebbing tide, calm seas.• • • • • . • • . 6 6 Vertical distribution of suspended-sediment concentration for line 3» October 2, 19&9S low stage, calm seas............................... 67 Vertical distribution of suspended-sediment concentration for lines 1 and 2, May 23 and 24, 1969} high river stage, rough seas............... 68 23. Surface distribution of suspended-sediment concentration at high river stage, April 12, 1969.......70 24. Surface distribution of suspended-sediment concentration at low river stage. A. Ebbing tide, September 4, 1969* B. Flooding tide, September 3» 19^9* ...... 25* Suspended-sediment concentrations at the surface along several different survey lines at high and low s t a vii g e 72 . . . 73 ABSTRACT A study was conducted at the mouth of South Pass, Mississippi River, to ascertain the influence exerted by interaction between effluent and ambient fluids; tides; waves; winds; bottom topography and channel mouth geometry; regional coastal currents; horizontal and vertical density gradients; and hydrologic regime of the Mississippi River. The time required for the tide to propagate up the passes caused a significant phase lag between the mouth of South Pass and Head of Passes. This resulted in downstream hydrostatic gradient being steepest at ebbing tide and reversed or reduced at flooding tide. Consequently, downstream flow within the pass, as well as efflux sea ward of the mouth, were swiftest during ebbing tide. Salt-wedge circu lation in the lower reaches of the pass was characterized by upstream flow at flooding tide and downstream flow at ebbing tide. Position of the salt-wedge interface and variations in the degree of interfacial mixing were explicable in terms of a densimetric Proude number F ■ u /ygD. Interfacial mixing took place when F^ > 1. Increased velocity during ebbing tide was accompanied by poorer stratification and greater ver tical mixing, presumably because of an increase in F^. Statistical analyses indicated that river stage, tide, sea state, and position relative to the distributary mouth bar exert a signifi cant influence on vertical stratification and mixing seaward of the mouth. Stratification was most pronounced during high river stage, flooding tide, calm seas, and along the effluent axis, and weakened progressively from the mouth to the bar crest. Freshwater concentra tion was significantly greater during high river stage and calm seas. viii An abrupt decrease in the depth of the salt-wedge interface between the mouth and the bar crest was attributed to lateral spreading of the upper layer of fresh water. Ascent of the interface with proximity to the bar resulted in increased values, which were deemed responsible for decreasing stratification. Seaward of the bar, stratification was sharp in association with a slower moving stream of fresh water from outlets to the northeast. In the fluvial-marine interaction zone immediately seaward of the mouth, the freshwater effluent spread laterally as a relatively discrete and homogeneous mass, with lateral turbulent diffusion between effluent and ambient fluids inhibited by frontal boundaries. The boundaries appeared to result from convergence of water masses of different density; were most pronounced during flooding tide and with light onshore winds; and were dispersed by high winds and rough seas. Efflux from South Pass, coastal drift of ambient fresh water, and tides dominated flow tendencies seaward of the mouth. Maximum flow velocities occurred near the surface within the main effluent. The velocity gradient near the eastern boundary of the plume was ex tremely steep, with swift flow on the plume side and tranquil flow on the ambient side, where flow normally converged toward the boundary. During flooding .tide ambient and subsurface flow had a strong south westerly set which augmented deflection of the effluent. Suspended-sediment concentration varied directly with river stage and inversely with temperature. Seaward of the mouth, the highest sediment concentrations were normally in the upper layer of fresh water; however, when vertical mixing was augmented by winds or waves, suspended-load concentrations in the saltwater layer increased. ix Surface concentration patterns corresponded closely to the distribu tion of effluent fresh water* Deposition during high stage was indi cated by a rapid seaward decrease in suspended-load concentration along the effluent axis* At low stage there was very little longi tudinal variation in concentration within the plume, where surface concentrations were typically lower than those of the ambient fresh water band, the primary low stage contributor of suspended sediment* It is concluded that fluid and sediment dissemination at the mouth of South Pass are associated with an intricately interacting multiprocess system. Patterns cannot be adequately explained in terms of any single process such as turbulent.jet diffusion. X. INTRODUCTION Of the processes which contribute to the formation and develop ment of deltas, those which arise from the interaction of river and sea at the river mouth are the most fundamental. These processes are responsible for the formation of the subaqueous delta, a prerequisite to further deltaic development. Gilbert (188*1-) stated that "the process of delta formation depends almost wholly on the following law; The capacity and compe tence of a stream for the transportation of detritus are increased and diminished by the increase and diminution of the velocity." Though the implication of this statement is grossly oversimplified, its validity becomes apparent if turbulence is also considered. Generally, if chemical and biological processes are excluded, the pat tern of sediment deposition approximates that by which the transport ing forces diminish at the river mouth. An understanding of river mouth and prodeltaic morphology hinges, then, on a recognition of the variations in transporting capacities and the factors which influence them. Gilbert (188*0 proposed the simplest model of flow deceleration at river mouths. He reasoned that loss of capacity and competence and consequent deposition at the mouth were the immediate response to the opposing inertia of the basin water. This reasoning was based on the assumption that all of the transporting energy is possessed by the stream and none by the receiving basin. Because of its straightfor ward a priori rationale, Gilbert's supposition became the classic theory of delta formation. In a treatise on the processes active at the mouths of the Missis- sippi River, Bates (1953a, 1953b) advanced the "jet flow*' hypothesis of delta formation. This theory regards effluent momentum as a con servative property which is progressively deconcentrated seaward as a result of turbulent jet diffusion into the ambient (basin) water. Bates predicted the diffusion pattern to approximate the Tollmien (1926) free jet. Since Bates* original work, the jet hypothesis in various forms has become widely accepted. Borichansky and Mikhailov (1966) have offered equations substantiated by laboratory experiments describing the lateral velocity field and form of a river jet under various conditions of channel mouth geometry. Takano (l95^a, 195^b, 1955) has treated the case of fresh river water spreading above denser seawater. Jopling (1963, 1965) has carried out experiments on verti cal diffusion and flow separation, and Axelson (1967) has reviewed river mouth jets in general. Jet theories, like Gilbert's model, assume the basin fluid to be "still" and such agents as tides, waves, and marine currents, to con tribute only to residual trends. The nonfluvial agencies have usually been considered only in terms of their ability to rework the deposits already laid down, and not with regard to their role in controlling the patterns of initial deposition (i.e., Bates, 1953a, 1953b; Santema, 1966; NEDECO, 1961; Zenkovitch, 1967). At the mouths of the Mississippi River, circulation associated with a pronounced vertical density stratification or "salt wedge" acts in conjunction with the other factors. Though there has been con siderable theoretical and experimental work on salinity-wedge intru sion in bounded estuaries, including the passes of the Mississippi (Bowden, 1967; Ketchum, 1953; Pritchard, 1952, 1955* Schultz and Tif fany, 1965), very little has been done on the influence of strong Figure 1. Air photograph of the mouth of South Pass showing South Pass effluent, ambient freshwater band, and Gulf water. stratification on diffusion and circulation seaward of the estuary mouths. The framework of the present investigation is the implicit hypothesis that the transport and deposition of sediment (and hence, depositional topography) in the vicinity of the mouth of South Pass, Mississippi River, are direct products of circulation and diffusion, which, in turn, depend on the following primary factors: (l.) inter action between effluent and ambient fluids; (^.) wind; (2.) tides; (3.) waves; (5 .) bottom topography and channel mouth geometry; regional coastal currents; (6.) (7.) horizontal and vertical density gradients caused by thermohaline variations; and (8.) hydrologic regime of the Mississippi River. This study was aimed at identifying the influence of the factors listed above, evaluating the relative con tribution of each, and elucidating, as far as possible, the mechanisms by which each plays its role. The ultimate goal is to permit the development of a realistic theoretical model explaining spatiotemporal variations in river mouth and prodeltaic morphology, The results are based primarily on the writer's field observa tions and analyses made over the period February 1969 - March 1970. D.J. Ouellette's (19^9) field data from the period June 1968 - October 1968 and various published reports provided valuable supplement. Measurement of sediment transport was limited to the amount of material in suspension because of the difficulties of studying bed load. Also, logistics precluded observations under the gamut of natural conditions. No offshore data were collected when seas were more than moderately rough, and no current measurements (the collec tion of which requires anchoring the research vessel) were obtained MISS. VENICE WEST BAY EAST BAY GARDEN ISLAND BAY 29° 00' STUDY, AR EA 5 Miles Figure 2* Location map of the study area* during high river stage. It is felt, however, that the data are adequate to reveal many trends of general significance. South Pass was selected as the locus of the investigation in preference to other outlets because of its central situation, large number of landmarks for positioning, and easier navigability. The Dynamic Environment of the Study Region An appreciation of the significance of the river mouth pro cesses requires familiarity with the environmental setting. The physiography, geology, and geologic history of the Mississippi Delta have been amply treated (Russell, 193&? Russell and Russell, 1939? Fisk, 1944; Fisk et al,, 1954? Mclntire, 1954? Kolb and Van Lopik, 1958? Welder, 1959)* The hydrologic, sedimentological and oceano graphic regimes critical in the present study are summarily described in this section. The distributions of average river stage at New Orleans (Carroll ton gage) for the years 19^9-1967 and for the period of this study are graphed in Figure 3A and B. According to Holle (1952), a stage of 3 feet (low stage) on the New Orleans gage corresponds to a discharge of about 300,000 cubic feet per second. At normal (9 feet) and flood (17 feet) stages discharges of about 600,000 cubic feet per second and 1,000,000 cubic feet per second prevail, respectively. The sediments of the deltaic mass derive from a drainage basin which covers 41 percent of the continental United States (1,245,000 square miles). Holle (1952) estimates that on the average the Missis sippi River transports roughly 5°0 million tons of sediment to the Gulf annually. 195*0 Bed load accounts for between 10 percent (Fisk et al., 20 percent (Holle, 1952) of the total sediment load. Henry 12 2 - gl 1 I I I t ,1., I ... I ..I I Jon Fab Mor Apr Moy Jun* July A u g Sepl Oct Nov Doc Jon Feb I . Oct I -I Nov Oac 14 12 Slogs ot N«« O ri so ns |fs st) 10 O Field excursions b y D. J. O u e l l e t t e a Field excursions by the w r i t e r Apr Moy Juna July Aug Sopt Mor Apr Moy iu n « July Aug Stpt O d Nov Dtc ion Fs b -----------1968---------- ►•--------------- 1969--------------- - *— 1970-* Figure 3« River stage at New Orleans (Carrollton gage). A. Average distribution for 1949-1967. B. Distribution during the study period. (1961) reports that the suspended load typically consists of 40 per cent silt, 50 percent clay, and 5 to 10 percent very fine sand, whereas fine sand predominates in bed load. At Head of Passes the Mississippi River branches into three major distributaries: Pass a Lotrtre, South Pass, and Southwest Pass (Pig, 2). Thirty-seven percent of the total discharge reaches the sea by way of Pass a Loutre, 29 percent via Southwest Pass, 19 percent via various secondary outlets, and 15 percent via South Pass, the locus of the present study. Proportionately, South Pass carries an average annual sediment load of 75 million tons (Holle, 1952). Much diversity in deltaic and river mouth morphology can be attributed to geographic variations in the coastal energy regime, par ticularly of tide, winds, and waves. The astronomical tides of the Mississippi Delta region are diurnalj there is one high and low tide per day (Marmer, 1954)• Mean tidal ranges are 11 inches at Head of Passes and 13 inches at Port Eads (ESSA, 1969* P» 239)• Continuous records for Port Eads reveal that tidal range varies from about 6 inches at equatorial tide to about 2 feet at tropic tide. Tidal curves are relatively symmetrical, rise and fall having approximately equal duration. Inshore along the delta coast tidal currents with velocities as high as 2 feet per second accompany tropic tides (Drennan, 1968). For further details regarding the tidal regime refer to Scruton (1956). Wind records are available only for Southwest Pass (Burrwood, Louisiana) and Grand Isle, Louisiana. Wind patterns at Grand Isle, Burrwood, and Pensacola (Florida) differ only slightly; hence, the records for any of these stations should approximate the situation at 9 6 GRAND ISLE, LOUISIANA W- PENSACOLA. FLORIDA BURRWOOD. LOUISIANA 1944, *45, *47. '4 0 I9 Z 4 --4 S I9 4 2 ~ *4 9 W! C s s ARROWS INOlCATE WIND VELOCITY NUMBERS INOlCATE MONTHS 0 s 1 1 ---- «0 1 Vpn j a 111 , J w MtlCHt »C*00 Mt'&xr ’dies t'T <*• .03 o € HV'.-I *NVV •W BURRWOOD , LOUISIANA ■sw — i oo —n ----------- 1 Ik. r Ht»ica r--‘\u Jan F ib M ar A pr M o y J u n i J u ly A g g S t p l O el Nov 0 • c B Figure Average wind and wave regimes of coastal Louisiana. A. Wind direction and velocity (after Scruton, 1956). B. Average annual dis tribution of wave height and period (after Bretschneider and Gaul, 1956). C. Average monthly distribution of onshore wave energy in Mississippi Delta. South Pass. Monthly mean wind direction and velocity are indicated in Figure ^A, which shows that winds from the easterly sectors dominate throughout the year. Average wave characteristics for each octant (Fig. 4b ) are based on hindcasting computations for Southwest Pass (Burrwood, Louisiana) for 1950, 1952, and 195^ by Bretschneider and Gaul (1956)• Figure 4C shows the average monthly distribution of onshore (northeast to south west) wave energy computed from the same set of data. Aside from observations of wave direction, height, and period by the U.S. Army Corps of Engineers (1959) during the period January - October 1957* no long-term observations of wave characteristics for the Mississippi Delta are available. Parameter Definitions and Determinations The analyses of stratification, mixing, discharge, and sediment transport presented in this study require quantitative indices to per mit objective comparisons. Indices of stratification, mixing and dif fusion, and discharge are defined and their relevance is discussed in this section. Stratification of a fluid is expressed in terms of the concen tration gradient and range of any scalar property. Vertical stratifi cation in areas of freshwater and saltwater interaction primarily results from gravitational differentiation according to density (Far mer and Morgan, 1953? Ketchum, 1953? Williams, 19&2, pp» 150-158). For this reason, density, the most functional and causally meaningful parameter for describing stratification, is used conventionally (e.g., Sverdrup et al., 19^2; Defant, 1961). Density varies directly with salinity and inversely with temperature and may be readily computed from data for the two. In oceanographic studies, density is conven tionally expressed as cr^ (sigma-t) to eliminate unnecessary digits, Slgma-t is related to the water density by <j ® (density - 1 ) x 1000 (Defant, 1961, p. 4l). values are determined from tables (U.S. Naval Oceanographic Office, 1966) or from a set of formulae found in any standard textbook on oceanography (e.g., Defant, 1961, P» Sverdrup et al., 19^2, p. 56). The stability of an interface between layers in a stratified flow is often indexed by a densimetric Froude number F^ given by A Fj * u /ygD (Bowden, 1967 ? Farmer and Morgan, 1953? Stommel and Farmer, 1952) where u is the mean velocity of the upper layer, g the acceleration of gravity, D the depth of the interface, and y the density ratio Y " (P3~pf)/ps where P - density of the salt (lower) layer and p~ = density of the fresh S X (upper) layer. When F^ exceeds 1 (i.e., when u is greater than the celerity of an internal gravity wave), interfacial waves form and break and mixing ensues (Bowden, 1967* Farmer and Morgan, 1953? Stom mel and Farmer, 1952). Stability is indicated by low values of F^, which for given values of u and D varies inversely with y » the density ratio. In cases where current measurements are lacking, the value of Y serves to gage the relative degree of stratification. All values of y in this study are computed from the weighted mean densities above and below the interface, the interface taken as the depth of maximum a gradient (Acf^/A2) ma3C or* Y - (Ps - Pf)/P3 12 j -i and j »n bottom j denotes the interval, i and i+1 the interval immediately above and immediately below the interface respectively, and z the depth. In addition to indicating the depth of the interface, (AcX^/ A z) max also serves as a measure of pycnoclinal sharpness. Most theoretical and experimental studies of diffusion employ the coefficients of eddy diffusivity and eddy viscosity. Determina tion of these parameters involves complex procedures, numerous theoretical assumptions, and quantities not obtainable by the methods of the present study. For these reasons the writer has devised more easily determined indices of the degree of mixing. These indices are intended to facilitate comparison only, not theoretical analyses. For practical purposes the salinity of pure river water is 0.00 o/oo, while pure seawater has a salinity in the vicinity of 36.0 o/oo. In any zone of mixing between freshwater and saltwater masses, the freshwater concentration G may be readily determined from C - 1 - (s /s q) (Bowden, 19&7) where S is the observed salinity at the point in ques tion and S o is the salinity of pure seawater (in practice, the maxi- mum salinity observed in deep water during the particular period of observations). At any instant the total volume of fresh water Q present in a column of unit horizontal dimensions and thickness h is equivalent to z *=h z -0 The total freshwater volume is approximated by where j refers to the interval. The freshwater volume Q . contained in any depth interval is estimated '3 by The fraction Q „ . of the total freshwater volume contained within an interval is Qf 3 “ V Qf The total weighted concentration of fresh water in the entire column is then given by C - 2 C Q . j 3 *3 The maximum value of unity for this quantity indicates complete integrity for the fresh water present in the column and hence no mix ing between freshwater and saltwater masses. Extremely low values suggest a high degree of freshwater deconcentration. For unidirectional flow the discharge through a given section of channel or ocean is the product of the area of that section and the velocity. All discharge values herein are expressed in cubic feet per second (cusecs.). For a vertical section of unit width the total dis charge M. is t , z =n where u is the velocity in feet per second. estimated from the discharge of fresh water from In practice M may be x> and the discharge of salt water from M - S u [ ( A z) - Q J • 8 i 3 ' J 0 Seaward of the mouth, directions of flow generally exhibit con siderable variation throughout the vertical. In this case it is expedient to compute discharge values for each direction and then sum the vectors so obtained. All vector sums are resolved graphically by vector resultant diagrams. Data Collection and Sampling Procedures Water salinity and temperature were determined in the field with a Beckman portable induction salinometer. Prior to field trips this instrument was calibrated in the laboratory against salt solutions of known concentration, and all values were corrected to correspond to calibration curves. As an added check, occasional water samples were titrated with silver nitrate (AgNo^). percent. The maximum error was about 5 Other parameters were computed on an IBM J60 computer from salinity and temperature data. A Marine Advisors Roberts-type Model B-3c current meter was used to obtain current velocity and direction. On one field excursion this meter was checked against a Marine Advisors Q-15 meter, and the meters showed close agreement. Water samples collected in the field for suspended-load analysis (by means of a 1-liter Van Dorn-type water sampler) were transferred to 1-quart waxed cardboard containers, sealed, labeled, and returned to the laboratory for analysis. In the laboratory a Millipore 100-ml pressure filtering apparatus and Millipore 47-mm filters with 0,45 4 pores were used to extract suspended sediments from water samples. Filters were oven dried at 90*?J and weighed to the nearest 0.0001 grams on a Mettler analytic balance. In most cases 400 ml of sample was passed through the fil ters; but only 200 ml (and on a few occasions only 100 ml) of highly turbid samples was used. liter (mg/l). All values were expressed in milligrams per Numerous samples were run in duplicate to determine the error of the method: 5 percent for highly turbid samples and less than 10 percent for the least turbid. Wind velocities were measured with a portable hand-held anemometer. Sea states were estimated by visual observations and by a Raytheon fathometer equipped with a buoy-mounted transducer. Tidal elevations and rates of fall or rise are from con tinuously recorded tide gage records for the mouth of South Pass fur nished by the U.S. Army Corps of Engineers, New Orleans District. Offshore stations were positioned by adjacent horizontal sextant angles between fixed shore objects and buoys. To facilitate navi gation and reoccupation of sampling stations (Fig. 5)» each survey line was selected to be coincident with a range line on a pair of fixed objects. are: Respectively, the range pairs for lines 1 through 5 (l.) East Jetty Light - Outer Buoy; Inner Buoy; (2.) East Jetty Light - (3») West Jetty Front Marker - Pilot House; Guard Radio Mast - Pilot House; (4.) Coast (5.) Inner Buoy - East Oil Platform. Line 4 was discontinued following Hurricane Camille (August 17) because the radio mast was destroyed. The width of the South Pass channel at the mouth (700 feet) was chosen as the distance unit to provide a dimensionless measure for future comparison with other deltas. Stations 1 through 8 on each S o uth P a u Reor lig h t Sa mpl i ng Stations 1 00 0 1300 3000 Ft. .,3 Figure 5* *17 Location of survey lines and sampling stations survey line were situated at 1, 2, 4, 7, 11, 16 , 22, and 29 channel widths from the mouth, respectively. This expanding grid provided maximum detail in the zone near the mouth and over the bar, where horizontal variations are most critical. Other stations were occupied on the basis of the ephemeral position of water mass boundaries. In most cases, salinity and temperature were measured at the sur face and at depth intervals of 1 foot for the first 10 feet, at 5foot intervals between 10 and 30 feet, and at 10-foot intervals below 30 feet. Current velocity and direction were measured at the surface and at 5“foot intervals for the first 30 feet. measurements were at 10-foot intervals. Below 30 feet current Occasionally, when critical changes were anticipated within a small depth range, currents were measured at 1-foot intervals. Water samples were collected at the sur face and at 5-foot intervals for the first 30 feet. Below 30 feet sampling was at the observer's discretion. Least-squares maximum likelihood general purpose and multiple regression canned programs from the L.S.U. program library were used in making statistical analyses on the L.S.U. IBM 360 computer. Com putational details are presented in Harvey (1966) and Krumbein and Graybill (1965, pp. 277-299 and pp. 391-399). CIRCULATION AND MIXING IN THE LOWER SOUTH PASS CHANNEL Fluid and sediment dissemination patterns seaward of the mouth are partially predetermined by events within the confines of the pass itself. Mixing and interaction of river water and seawater begin up stream from the mouth, particularly at low stage. As a result of estuarine processes operative in the lower reaches of the channel, vertical distributions of current velocity and fluid density at the jettied mouth differ substantially from those at Head of Passes, 13 18 miles upstream* Channel Geometry South Pass has a total length of 13*5 miles from Head of Passes to the mouth. Channel width varies only slightly throughout most of the length, averaging 785 feet (U.S. Army Corps of Engineers, 19^1). The maximum width is 1,000 feet at Head of Passes; the minimum is 700 feet at the jettied mouth. The mean channel depth is 35*^ feet with a maximum of *K) feet and a minimum of 35 feet just below Head of Passes and at the mouth, respectively. The channel cross-sectional area ranges from 35*000 square feet at Head of Passes to 25*000 square feet at the mouth with a mean of 26,880 square feet (U.S. Army Corps of Engineers, 19^1)* The decrease in cross-sectional area at the mouth is the product of artificial control (jettie$> coupled with a tendency for the channel to shoal slightly downstream. Immediately seaward of the mouth the bottom shoals abruptly in the form of a distributary mouth bar, and within a distance of about one-half mile water depths on a seaward extension of the channel axis are as shallow as 15 feet or less. For navigation the U.S. Army Corps of Engineers maintains a dredged channel 35 feet deep across the northeastern portion of the bar. Seairater Intrusion On the basis of the degree to which the discharging fresh water mixes with the undiluted seawater, three main types of estuarine cir culation are generally recognized; the we11-mixed estuary in which salinity exhibits little or no vertical variation; the partially mixed estuary lacking steep gradients but having a large vertical range of salinity around the mean; and the highly stratified estuary where freshwater and saltwater layers are separated in the vertical by a well-defined interface (Bowden, 1967? Ippen and Keulegan, 1965? Pritchard, 1955? Schultz and Tiffany, 1965)* The type (and degree) of Circulation pattern depends on the ratio of the freshwater volume dis charged during one tidal cycle to the tidal prism (the total volume of water exchanged owing to tidal flow between high and low tide) (Bowden, 1967> Ketchum, 1953? Simmons, 1952). When this exceeds unity, the highly stratified or salt-wedge type estuary will usually prevail (ippen and Keulegan, 1965? Pritchard, 1952, 1955)• The dynamics of the salt-wedge estuary have received considerable attention (Farmer and Morgan, 1953? Bowden, 1967? Farmer, 1951? Stommel and Farmer, 1952? Keulegan, 19^9* 1955> 1965? Ippen and Keulegan, 1965? Bondar, 1963> 1967» 1968? Graya, 1951? Hamada, 1959? Harleman, 1961, 1965? Harleman et, al,, 1962? Ketchum, 1953? Macagno and Rouse, 1961, 1962? Otsubo and Fukushima, 1959? Pritchard, 1952, 1955? Schultz and Simmons, 1957)« These studies show that when the average velocity of the discharging stream is below a critical value the density dif ferential (about 2 percent) between river water and sea water enables the latter to underflow the former. Intrusion proceeds upstream until the pressure created at the salt-wedge interface by seaward flowing river water suffices to balance the hydrostatic pressure arising from the density contrast. Two-layered flow in which salt water entrained by the downstream flow of the surface layer is replaced by upstream flow within the lower layer typically distinguishes salt-wedge estu aries. Mass exchange is almost exclusively upward. In Southwest Pass, another distributary of the Mississippi, upstream flow prevails within the wedge regardless of tidal phase (Henry, 1961? U.S. Army Corps of Engineers, 1959). The depth of the saltwater-freshwater interface and the average velocity of the upper layer mutually adjust to yield a densimetric / Froude number F^ at the mouth equal to or slightly less than unity (Bowden, 196?j Stommel and Farmer, 1952? Farmer and Morgan, 1953? Bondar, 1967)• Internal waves form at the interface when F^ > 1. With further velocity increase these waves break, causing interfacial mixing and erosion of the upper part of the salt wedge. This erosion diminishes the instantaneous salt-wedge volume until stability is attained by reestablishment of the interface at a depth where F^ ^ 1 . Upstream from the mouth, F^ progressively decreases to a minimum at the toe of the wedge. The requirements for the highly stratified situation are met with in the distributaries of the Mississippi River, whose mouths consti tute classic salt-wedge estuaries (Bates, 1953a, 1953b? Holle, 1952? Scruton, 1956? Simmons, 1952). At mean low stage (3 feet on the New Orleans gage) the toe of the wedge is typically situated at Head of Passes (Holle, 1952). Gulf water with salinities as high as 2? 0/00 has been observed at New Orleans at abnormally low river stages (Free port Sulphur Company, unpublished data). Salt-wedge intrusion is favored by maintenance of dredged channels in South and Southwest Passes, ages Excessive intrusion is by way of Southwest Pass, which aver about 10 feet deeper than South Pass. Figure 6 shows density and velocity distribution patterns and densimetric Froude numbers in the South Pass channel for October 1, 1969* during flooding tide ( 3-k hours after low water). was at 4 feet on the New Orleans gage (low stage). River stage An unavoidable Coast Guard S t a t i o n (Mouth) c C o n to u rs in at 25 30 Froude number 35 •n -n 40 o In o2.0 3. 0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 CD 1 2. 0 o >o 13. 0 M i le s b e l o w H e a d o f Passes Figure 6. Current and <j^ cross-sectional profile in the South Pass channel on October 1* 19&9* during flooding tide showing typical salt-wedge intrusion pattern and associated circulation. (Circled dot indicates null flow.) time lag (nearly 4 hours) between observations at Head of Passes and at the mouth precluded quantitative description of longitudinal vari ations in velocity and discharge; but the overall patterns are evident. *Flow is downstream at all depths upstream from the toe of the wedge. Upon encountering the wedge, seaward flow is concentrated above the Interface. Downstream from the toe, the thickness of the wedge and up stream velocity within the wedge increase. Saltwater entrainment by the freshwater layer is evidenced by the downstream currents in the upper portion of the wedge. This general pattern, which is consistent with the ideal salt-wedge case, typifies South Pass during low and nor mal stage and flooding tide. Hydraulics and Mixing in Lower Channel Water-surface elevations (relative to mean Gulf level) at Head of Passes and Port Eads (near jetties) for three ^8-hour periods represen tative of low, normal, and high river stage are shown in Figure 7* In all three of the examples Head of Passes experiences a tidal phase lag of 1-2 hours behind Port Eads; this lag is attributable to the time required for the tidal wave to propagate up the passes. Consequently, hydrostatic gradient within the channel is highly influenced by tidal phase. At low river stage the direction of the gradient reverses with the tide (Fig. 7)' during flooding tide water-surface elevations at Port Eads exceed those at Head of Passes by an average of about 0,3 foot; at ebb, the surface is higher at Head of Passes by approximately O.Jj- foot. With increasing stage height the upstream declivity attend ing flooding tide decreases; the downstream gradient is augmented dur ing ebb. High stage results in downstream gradients throughout the tidal cycle, and elevation differences vary from a minimum of 0.5 foot during flood to a maximum of 1.7 feet during ebb. Janu ary 2 5 -2 7 , 1969 S l a g * a l N e w O r l e a n s = 3 . 8 ft. (Low s t a g e ) O * l H e a d o f Passes o .a a -Port Eads Nown J a n u a r y 31- F e b r u a r y 2, 1 9 6 9 S t a g e a t N e w O r l e a n s = 7 . 5 ft. ( N o r m a l s t a g e ) o * > o -O O «• Ik jB H o u r* A p r i l 19-21, 1969 S t a g e a t N e w O r l e a n s = 11.7 ft. ( H i g h s t a g e ) A p r . 19 A p r. 20 A p r . 21 2 *OO 2 1 Hown Figure 7. Water surface elevations at Head of Passes and Port Eads showing variation with tide of hydrostatic gradient. A. Low stage January 25-27, 1969. B. Normal stage - January 31 - February 2, 1969* C. High stage - April 19-21, 1969* Because of variations in hydrostatic gradient, river stage and tide exert a high degree of control on current and discharge within the channel. In turn, flow affects mixing and the degree of stratifi cation between freshwater and saltwater layers. Variations in mixing, stratification, and flow parameters are evidenced by observations made just upstream from the mouth of South Pass during the periods May 2325, June 28 - July 1, and September 30 - October 3» Table 1 lists summary statistics and P-ratios for variation with tidal phase of weighted concentration of fresh water ( c ) , density ratio (^ ~(j)/ depth of interface, densimetric Froude number, freshwater discharge (per foot of surface), and the ratio of freshwater to saltwater dis charge. This table indicates the significant role played by tide in determining freshwater discharge, the ratio of freshwater to saltwater discharge, the depth of the salt-fresh interface, and the density ratio. Figure 8 shows typical low-stage density (0^) stratification situations and current velocity profiles for flooding and ebbing tides at station SPGG (near Coast Guard Station) 200 yards upstream from the mouth. The close spacing of the isopycnals during the flooding phase signifies a high degree of stratification, and a sharp interface is evident at a depth of 13 feet. Downstream velocities in the upper layer decrease progressively with depth from a maximum of 3*0 feet per second at the surface to a null point at the interface, below which flow is upstream. stream only. During ebb, flow is considerably swifter and is down The halocline is much more diffuse, and the maximum den sity gradient is at 18 feet. Weighted means disclose that freshwater discharge during ebb is approximately twice that of flood. This is a consequence of the consistently observed tendency for downstream Table 1. Summary Statistics and F-Ratios for Mixing, Stratification and Flow Parameters between Tidal Ebb and Flood for Stations in South Pass Channel near the Mouth Flooding Tide Ebbing Tide Degrees of Freedom n Weighted Mean in 17 13 .666 .0180 15.65 .0486 .0020 4. 50 oy 9 17 9 • Total n Overall Mean Standard Deviation -0 CD 00 Depth of Freshwater Fresh/salt Density Interface Discharge Discharge C__________ Ratio____ _____(feet)_______ ^i,_____ (cusecs) ., ____ Ratio .181 6 .686 .0189 8 8 .644 .0169 Tides 1 1 1 1 Error 15 15 15 11 n Weighted Mean F 3.753 NS 5.366 12.89 8 18.75 12.234** .720 7 .846 1.64 NS 13 . 29.15 11.72 6 19.17 7 37.71 13 2.35 .716 6 2.88 7 1.90 1 1 11 11 22.713** ... 11.347** **Significant at .01 level (highly significant)? ^Significant at .05 level (significant); NS Not significant n = number of observations for the indicated class, i.e., n = 9 for flooding tide signifies that the weighted means for flooding tide are based on 9 observations. Weighted means of dependent variables are presented for each tidal phase (subclass); i.e., the weighted mean of .686 for flooding tide is the mean of all observations of C made during flooding tide with correction for unequal subclass n. Upstream Downstream -rB' c >20 a. a 20 20 24 20* ■ 24 28 Current velocity i.o 0 1.0 2.0 C u rren t velocity 3 .0 4 .0 i.o 1.0 To 4.0 Ft/sec Figure 8. Current and density profiles at the mouth of South Pass (station SPCG) on October 1, 1969* A. Flooding tide. B. Ebbing tide. (Based on current measurements at 5-foot depth intervals and salinity-temperature measurements at 1-foot depth Intervals.) 27 velocities as well as the volume of the upper layer to increase sub stantially during ebbing tide. The higher velocity accompanying ebb tide accrues from the 'increase in downstream hydrostatic gradient# With an increase in velocity following high water, densimetric Froude number values should increase initially since the upper boundary of the salt wedge will at first be situated at a shallow depth inherited from the previous flood phase, Densimetric Froude numbers in excess of unity were recorded during ebbing tide on two separate occasions. With the development of interfacial turbulence, exchange between the saltwater and freshwater layers reduces the sharpness of the interface and probably accounts for the significant decrease in density ratio (Table l). The insigni ficant F-ratio (Table l) for the densimetric Froude number suggests a tendency for conditions to adjust mutually so as to keep this parameter approximately constant. With an increase in velocity this constancy is maintained by an increase in the depth of the interface (thus, the highly significant F-ratio for depth of interface). The highly significant tendency for the ratio 6f freshwater dis charge to saltwater discharge to be lower during ebb tide (Table l) reflects greater seaward transport of salt water. Figure 8 implies that this increase is due both to augmented saltwater entrainment by the upper layer and to downstream flow within the salt wedge. The writer has observed downstream velocities as high as 3*5 feet per second in the lower portion of the salt wedge during ebbing tide (June 30, 1969)« (Such flow would eventually remove the wedge entirely from the pass; however, it appears that at low river stage restabilization of the interface or flooding tide precedes complete flushing,) 28 Salt Wedge Intrusion at High River Stage Under natural conditions (i.e., in the absence of dredged chan nels) the strong high-stage flow should hold the salt wedge outside the mouth throughout the tidal cycle; Scruton (1956) reports that this is, in fact, the case for Pass a Loutre, where the outlet is unaltered by man. According to Henry (1961, p. 25), however, in Southwest Pass at high stage the toe of the wedge is situated just seaward of the jet ties at ebb tide but, permitted by artificial deepening, advances up stream about 1 mile during flood tide. Because of the logistic diffi culties of operating in the channel under high discharge conditions, the writer was able to obtain only two salinity profiles and no velocity measurements upstream from the jetties at high river stage. Salinity-temperature measurements at station SPCG during flooding tide on May 23» 19&9 (river stage 10.5 feet at New Orleans), disclosed the presence of the salt-wedge Interface at a depth of 12 feet. Stratifi cation was strong (density ratio = 0 .0229) and the discharging fresh a water was highly discrete (C = 0.793)* May 2b, again during flooding tide. A similar situation existed on Measurements made at the same station by Ouellette (19&9) on June 20, 1968 (river stage 12.3 feet at New Orleans), during ebbing tide indicated no saltwater intrusion at any depth. In South Pass two-layer circulation of the classic salt-wedge type seems to be primarily a flooding tide phenomenon. The significant vari ations with tidal phase of the degree of stratification and the volume and direction of flow indicates that, contrary to the conclusions of previous investigators (Bates, 1953a, 1953b; Simmons, 1952; Walsh, 1969) > tides appreciably control circulation and mixing in South Pass. Among the distributaries of the Mississippi River, this degree of tidal in fluence is unique to South Pass? the greater depth of Southwest Pass permits upstream flow within the salt wedge during all phases of the tide (U.S. Army Corps of Engineers, 1959? Henry, 1961), whereas in Pass a Loutre the time lag between the occurrence of a particular tidal phase at Head of Passes and at the mouth is practically negligible (ESSA, 1969, P. 239). VERTICAL STRATIFICATION AND MIXING SEAWARD OF THE MOUTH Seaward of the lateral restriction of the lower South Pass chan nel, river water continues to flow seaward, overriding the wedge of denser, saline water. Initially, the degree of efflux stratification is a product of processes active within the channel. Beyond the shel ter of the jetties, however, innumerable marine and riverine processes interact to further influence vertical stratification and mixing. The rates at which stratification decreases in sharpness and freshwater and saltwater volumes are exchanged across the vertical zone of contact fundamentally determine the dispersion of effluent momentum and the rapidity with which marine processes gain dominance of fluid and sedi ment transport. Statistical Analyses and Identification of Salient Control Variables Analyses of covariance were performed separately on weighted fresh water. concentration (C), density ratio ( P - P ) / P » depth of the inters f s face, and maximum density (<j ) gradient as dependent variables with w distance (in channel widths) seaward of the mouth serving as a con tinuous independent variable and river stage, tidal phase, sea state, and position relative to the distributary mouth bar as treatments. The analysis of variance design was completely random with factorial arrangement of treatments. Weighted means and number of observations of the response variables for each primary class are presented in Table 2; F-ratios and significance levels from the analysis of variance are given in Table 3* The analyses are on data collected by Ouellette (1969) during the periods June 20, 1968, July 24-25# 1963, September 4-5, 1968, and October 5-7# 1968? and by the writer during the periods May 23-26, 1969> June 30 - July 2, 1969* September 30 - October 3* 1969# and February 12-13, 1970. The data may be regarded as representative of a wide range of environmental conditions. In addition, station SP 3-4, located near the crest of the dis tributary mouth bar (Fig. 5)» was occupied for 26 hours (one complete tidal cycle) on November 11-12, 1969# and complete sets of observations were taken at hourly intervals. River stage was low (2.5 feet at New Orleans) and tides were tropic. Winds were light and seas were calm at the start of the survey, but wind velocity and sea state increased progressively throughout the period. A least-squares multiple regres sion analysis related the dependent variables weighted freshwater con centration (c), density ratio, maximum a. gradient, and densimetric Froude number to height of tide (feet), rate of rise or fall of tide (feet/hour) (where rate of rise is assigned a plus value and rate of fall a minus value), wind velocity (m/sec), and wave height (feet) (Table 4A). The results of the same analysis with the introduction of a 3-hour lag for height and rate of rise or fall of tide are shown in Table 4B. (A lag effect was anticipated from the fact that minimum current velocities of 0.0 feet per second were not observed until 3 hours after high water on November 11.) Several important relationships emerged from these analyses. Table 2 Summary Statistics for Mixing and Stratification Parameters Seaward of the Mouth „ Density Depth of (C)_____ Ratio Interface (ft.) Ag /Az ■...... V" Total n Overall mean Stand, dev. 138 0.54-8 0.1918 138 0.0138 O.OO55 138 8.88 5.794 138 4.095 2.886 High River Stage Low River Stage n Weighted mean 41 0.6?4 41 ‘ 0.0157 41 11.096 4 3.205 n Weighted mean 97 0.422 97 0.0119 97 6.673 97 4.984 Flooding Tide n Weighted mean 58 0.539 58 0.0168 58 8.730 58 4.875 Ebbing Tide n Weighted mean 80 0.55.6 .... 80 0.0109 80 9.039 80 3.315 Seas Calm n Weighted mean 66 0.606 66 0.0146 66 7.874 66 5.247 Seas Rough n Weighted mean 72 0.490 72 0.0131 72 9.895 72 2.942 Line 1 n Weighted mean 16 0.514 16 0.010 16 11.431 16 • 3.296 Line 2 n Weighted mean 36 0.562 36 0.0163 36 8.296 36 4.709 Lines 3 & 4 n Weighted mean 57 0.557 57 0.0167 57 8.520 57 ' 4.415 Line 5 . Shore ward of bar crest Seaward of bar crest n Weighted mean 29 0.559 29 0.0123 29 7.291 29 3.960 n Weighted mean 78 0.541 78 0.011 78 7.358 78 2.940 n Weighted mean 60 0.525 60 0.0166 60 10.411 60 5.250 Weighted means are corrected for unequal subclass n and for the effect of the continuous independent variable (distance seaward)• . Table 3 Results of Analysis of Variance for Mixing and Stratification Seaward of the Mouth Source of Variation River Stage g Tide (flood 5 or ebb) 8 Seas (rough £? or calm) a .... e 1 ^ Line Number u, e o £ S n <D d.f. 1 (5) 41.208** F - Ratios Depth of Density Interface Ratio 7 .31*4** Aot/Az 7*794** 5.222* 0.031 NS 3.253 NS 1 0.138 NS 1 6.509* 0.940 NS 1.204 NS 6.482* 14.671** 3 0.387 NS 5.422** 1.449 NS 0.694 NS Shoreward or Seaward of Bar Crest (bar pos») 1 0.122 NS 14.561** 3.433 NS 8.140* River Stage Tide 1 3.726 NS 31.547** 5.399* 6.743* River Stage Sea State 1 0.011 NS 5.039* 1.232 NS 3.606 NS River Stage Line Number 3 0.979 NS 0.872 NS 1.405 NS 0.162 NS River Stage Bar Position 1 0.939 NS 5.367* 0.202 NS Tide Sea State . 1 0.668 NS 0.959 NS 0.859 NS 0.611 NS 3 0.066 NS 0.716 NS 0.888 NS 2.787* 1 0.983 NS 3.459 NS 0.008 NS 0.050 NS Sea State Line Number 3 1.982 NS 5.139* 1.533 NS 3.830* Sea State Bar Position 1 0.675 NS 1.383 NS 3.014 NS 3.580 NS 21.568** t Tide M Line Number 8 t Tide rS Bar Position CM Table 3 (continued) Source of Variation d.f. Line Number Bar Position 3 # Distance Seaward of Mouth (linear) 1 Error 111 Total (uncorreoted) 138 ( 5 ) ... 0.317 MS 25.71^* ** Significant at .01 level * Significant at .05 level NS Not significant # Continuous variable . F - Ratios Deoth of Density Interface Ratio Acrt/Az 0.217 MS 0.139 NS 0.561 NS 2.859 NS 7.963** 0.398 NS Table 4a Regression and Correlation Coefficients with No Lag Effect for Station SP 3“^» November 11-12, 19^9 • n » 26 O C 0.0136 6.327 1.377 Stand, dev. 0.103 0.0033 3.368 ' 1.353 *0 0.414 0.0077 Wind velocity (m/sec) Wave height (feet) b 2 NS r 0.33^ NS b 0.422** r 0.850** 0.0028** 0.691** NS 12.048 3.783 NS -1.128** 0.613** NS 0.329 NS -0.177 NS -0.683** NS 0.087 NS b NS NS -1.213** NS r O.O96 -0.454* -0.649** 0.385* b NS NS r R *i 0.416 Rate of tidal rise or fall (feet/hour) 2 Act/A z Mean Height of tide (feet) R Density Ratio 0.021 NS NS -0.39*** NS -0.632** 0 .512** before deletions 0.766** 0.579** 0.523** 0 .521** after deletions 0.721** 0.475** 0.421** 0.*j66** ** Significant at .01 level b Partial regression coefficient * level r Simple correlation coefficient Significant at .05 NS Not significant o R Coefficient of determination All b values shown were computed after deletion of insignificant effects. Table 4B Regression and Correlation Coefficients with Three-Hour Lag Effect for Tide for Station SP 3-4* November 11-12, 1969 n - 26 c Density Ratio 0.522 0.017 12.048 3.435. NS NS -0.970** a Height of tide (feet) (-3 hovers) Rate of tidal rise or fall (feet/hour) (-3 hours) Wind velo city (m/sec) b -0 .005** r -0.297 NS 0.367 NS b 0.399** 0.0099** r 0.738** 0.666** b r Wave height b (feet) r 2 R before deletions R after deletions NS 0.096 NS NS 0,021 NS Aff+./ A z *i 0.629** -2.306* NS 0 -0.621** . NS -0.413* -0.00064* -1.213** NS -0.454* -0.649** 0.385* NS -0.394* NS NS -0.632** 0.512** 0.687** 0 .586** 0.541** 0.514** 0.682** 0.564** 0.421** 0 .500** 36 Explicitly, spatial location, river stage, tidal phase, and sea state were found to affect profoundly vertical mixing and stratification. A close relationship between stratification and situation relative to the distributary mouth bar was also observed. Weighted freshwater concentration exhibited a highly significant decrease (Table 3) with increasing distance seaward of the mouth; a linear regression coefficient of -0.011 relates the value of the con centration index to channel widths seaward. This indicates the ex pected proclivity for river water (and indirectly for effluent momentum) to be progressively diluted by seawater away from the mouth. Overall seaward decrease (b = 0.246) in depth of the interface, also highly significant (Table 3), reflects thinning of the surface layer. Both of these tendencies are evident from Figures 9A and B, and 10A, from which a general seaward ascent of isopycnals can be seen. Contrary to intuitive expectations, the stratification indices (density ratio and maximum gradient) did not vary significantly with linear distance from the mouth, because of a wide zone of high stratification seaward of the bar. This zone was associated with a plume of relatively fresh to brackish ambient coastal water flowing roughly parallel to the bottom contours. It is conspicuous on Figure,. 9A and B as an indentation in the isopycnal pattern.- Traverse position (line number) exerted a highly significant influence on density ratio (Table 3)» the. highest degree of stratifi cation was along the main axis of the South Pass effluent (lines 3 and 4) (Table 2). The localization of effluent fresh water is apparent from Figure 11 (as indicated by vertical arrows). The constancy of other parameters between lines implies that con- 37 SP 3 - 4 SP 3 - 3 SP 3 - 6 SP 3-8 it' [11= 1.J« IlnJ.Ii e t S outh P o s t Bor z C««t««f8 in «1 FI = D a n s i m a t r i c F r o u d a N u m b a r 40. 30 34 36 38 30 D is ta n c a in c h a n n a l w id t h s SP 3 - 3 SP 3 - 3 SP 3 - 4 SP 3 - 3 SP 3 - 6 SP 3 - 7 Dopth In laat C .G . S o u th P a s t B ar 35 30 Cm im ii S a m p lin g I* <rt S ta tio n 35 40. 14 D is ta n c a 16 in 18 30 33 34 36 c h a n n a l w id th s Figure 9. at cross sections for line 3 at low river stage on October 2, 1969 . A. Ebbing tide. B. Flooding tide. 30 38 SP 2 - 5 SP 2 .7 in fast 10' Dapth 20 25 S outh P a s t B ar Ceafearo la #1 V S a m p lin g S ta tio n 35 20 22 24 30 D i s t o n c o in c h a n n o l w i d t h s Mouth .30' C a CaalatMB la f t a ▼ S a m p lin g S ta tio n 25 S o u th P a n B o r 30 35 ■ 0 2 4 6 8 10 12 14 Figure 10. at cross sections for line 2. A. Low river stage (flooding tide) on October 2, 1969. B. High stage (ebbing tide) on June 30, 1968 (based on data by Ouellette, 1969)* 39 J e t" >5»*•» 5 . V S a m p lin g S ta tio n 30 \j 35 y ■/ j1 A p p r o x i m a t e ■ o u n di a . ry of B Pl u m e a e a 30 S a m p lin g S ta tio n 35 A p p ro x im a te Boundary o l Plum e ’ Fi = D e n s i m e t r i c Froude Num ber 40 Fi = D e n s i m e t r i c Froude N um ber C n n U v r* in It. 40 D is ta n c e in c h a n n e l w id t h s D is ta n c e in c h a n n e l w id th s Figure 11. cross sections transverse to the South Pass effluent (approximately on line 5) at low river stage on October 3* 19&9* A. Ebbing tide. B. Flooding tide. 0 ditions on either side of the South Pass effluent are very similar to those within and that freshwater alimentation is not solely by way of South Pass, The lack of significant lateral contrast in weighted freshwater concentration may be attributed partially to the longshore effluent of fresh and brackish water supplied by outlets to the east, and partially to the lateral homogeneity of the South Pass effluent (evident from Figure 11), River stage is a major determinant of stratification and mixing, as Table 3 reveals, with weighted freshwater concentration, density ratio, and depth of interface experiencing highly significant varia tion between high and low stage. Mean values for weighted concentra tion of fresh water, density gradient, and depth of interface, were appreciably higher during high stage, Bowden and Sharaf el Din (1966) report similar associations between river stage and mixing and strati fication for the Mersey Estuary (England), The greater interfacial depth at high stage results from the larger volume of fresh water present at any instant. The stronger density stratification and greater discretion for the freshwater layer are probably due to an increase in the river discharge/tidal prism ratio; it was pointed out earlier that the degree of vertical strati fication depends to a very large extent on this ratio. Increased velocities at high stage do not generate mixing because of the greater depth of the interface and proportionately reduced densimetric Froude numbers. The increase in interfacial depth may also reduce mixing and promote sharper stratification by placing the interface below wind-and wave-generated turbulence. Tidal phase proved highly significant in influencing density ratio (Table 3), with means of 0.0168 and 0.0109 characterizing flooding and ebbing tide, respectively (Table 2). The important role of tide is even more apparent for the tidal cycle observations at station SP 3-4 (Table and B). Weighted freshwater concentration, maximum at gradient, densimetric Froude number, and density ratio displayed highly significant associations with tide. Weighted freshwater con centration, density ratio, and maximum < 3^ gradient varied directly and densimetric Froude number inversely with rate of flood or ebb and height of tide. The stratification increase and densimetric Froude number decrease with flooding tide at any given station is apparent from a comparison of Figures 9A and B. Figure 12 shows cr^ variations with time and in relation to tide at station SP 3-^ Tor the period 1400 November 111500 November 12, 1969. High stratification is indicated by closely spaced isopycnals. These trends parallel those evidenced within the lower reaches of South Pass and can probably be attributed to the same set of causes* during ebb the densimetric Froude number increases because outflow accelerates more rapidly than interfacial depth can readjust. by interfacial waves results. Mixing Interfacial waves off the mouth of South Pass were, in fact, reported by Walsh (1969) on the basis of remote-sensing images showing alternating bands of •’slick" water. Rough seas and high winds are also important mechanisms of verti cal mixing and stratification breakdown. tration and maximum a Weighted freshwater concen gradient varied significantly between conditions of calm and rough seas (Table 3)> with maxima during calm seas (Table 2). For the period of continuous observations at station SP 3“^» 12 in fe e t 20 Nov. 12 Depth Nov. 11 Tide 24 Contours in O’t Time In Hours 20 23 25 Hours Figure 12. variations with depth and time during a tidal cycle, November 11-12, 1969* & 43 maximum <t gradient decreased with increasing wind velocity and wave height (Tables 4a and B). These observations agree with theoretical and experimental con clusions that wind-and wave-generated turbulence and fluid mass trans port cause mixing (ichiye, 1953? Johnson, i960; Johnson and Hwang, 1961; Masch, 1961, 1962; Weigel, 1964, pp. 437-439). These studies disclose that wind-induced currents and turbulent motion of wind waves both contribute to vertical mixing. Swell waves were found to affect stratification negligibly (Weigel, 1964, p. 438). Bottom Topography, Mixing and Stratification A strong tendency for the isopycnals to rise toward the surface and become more widely spaced in the upstream proximity to and above the distributary mouth bar is prominent on a profiles constructed for t lines within the lateral limits of the South Pass plume (Pigs. 9» 10, ll). Tendencies for density ratio and maximum a. gradient to be lower x> over and shoreward of the bar were highly significant (Tables 2 and 3). Upwelling takes place during both flooding and ebbing tide and at high (Fig. 10B) and low (Figs. 9> 10A and ll) river stage. Scruton (1956) witnessed a similar situation at the mouth of Pass a Loutre during high river stage and attributed it to partial impound ment of discharging water upstream from the bar crest. This seems somewhat incompatible with theories which regard the efflux proclivities as cause and the bar as effect (i.e., Bates, 1953a-j Borichansky and Mik hailov, 1966 ; Axelson, 1967). On the other hand, some degree of feed back between process and response is inevitable in any natural system, where it is possible for each event to be at once both cause and effect of every associated event. A more tenable explanation for the isopycrials* ascent and strati fication decrease may lie in the hydraulic repsonse to the cessation of lateral boundaries at the mouth. Stommel and Parmer (1952) have shown experimentally that whenever two-layer (i.e., highly stratified) ; open-channel flow undergoes an abrupt increase in width, continuity of energy is maintained by a decrease in the depth of the interface, with the velocity of the upper layer remaining more or less constant. Takano (195^) and Default (I96I, pp. 5bO-5k$) have formulated mathe matical theories predicting the decrease in thickness of a layer of light river water expanding laterally over denser seawater. Bondar (1968, 1969) has observed stratification tendencies comparable to those just described at the Sulina mouth of the Danube River, where a highly stratified or salt-wedge situation similar to that of South Pass prevails. He regards this as a result of horizontal widening and vertical thinning of the freshwater effluent. The densimetric Froude number at the mouth is usually near unity (previous section), so that a decrease in the depth of the interface (D in the equation Fl « u2/gVD)» without a corresponding decrease in velocity of the upper layer, will produce values exceeding the critical limit. Densimetric Froude num bers shown in Figure 9A and B suggest that this is the case at the mouth of South Pass. F values as high as those indicated should be more than adequate to permit exchange across the interface, explaining the lesser stratification and greater mixing in the offing (the region between the mouth and the seaward limit of the bar where fluvialmarine interactions are most intense). By extrapolation, overall 45 deconcentration of effluent energy by mixing processes should result in loss of transporting capacity (and competence), contributing to deposition and perhaps to the building of the distributary mouth bar. Nevertheless, bar topography undoubtedly exerts some reciprocal effect on stratification. Topographic control is intimated by the observed tendency for stratification indices to be somewhat lower longitudinally along the bar and to the southwest of the offing zone (line 5)» Increased steepness, distortion, and fluid mass transport (Raudkivi, 19^7» PP» 253-263) of waves shoaling over the bar may aug ment vertical mixing. Two-Factor Interactions Table 3 indicates a considerable degree of control on mixing and stratification by various two-factor combinations of the indi vidual independent variables. Variations in density ratio with tidal phase were more pronounced during high river stage, with the inter action having a high significance. Specifically, weighted means indi cate maximum stratification during times of high stage and ebbing tide. Similarly, position relative to the bar most strongly influenced density ratio during high stage with minima over and shoreward of the bar and maxima seaward of the bar. The interaction effect was highly signifi cant. HORIZONTAL EFFLUENT, CURRENT, AND DISCHARGE PATTERNS General Surface Patterns Large contrasts in salinity, temperature, and turbidity between outflowing Mississippi River water and ambient Gulf water outline the plume surface. Boundaries are easily recognized by remote-sensing imagery and ground comparisons. Surface-water patterns in the environs of the Mississippi Delta have been described by Scruton (1956)» Henry (1961), Bates (1953a, 1953*0, Drennon (1968), Scruton and Moore (1953)» and most recently by Walsh (1969). These investigations have consistently disclosed that a surface layer of fresh to brackish water surrounds the delta. This band drifts westerly in response to the dominant winds and a slight geostrophic component induced by the geopotential head of the freshwater layer (Scruton, 1956? the mechanism is discussed by Sver drup et al., 1942, pp. 444-451). Surface efflux from South Pass cor respondingly veers to the southwest under the combined influence of the coastal stream just described, tidal currents, and Coriolis deflec tion (to the right) of effluent momentum. Seaward of the mouth three distinct water masses are identified (Figs. 1, 13A and B): (l.) the South Pass plume of fresh, sediment laden water emanating from the mouth and flowing seaward along a course which, in plan, arches progressively to the southwest; (2.) a slow moving, highly stratified band of fresh to brackish turbid water, supplied by outlets to the northeast; and (salinity = 25 0/00 - 30 0/ 00) Gulf water. ly lies 10 or more miles offshore. (3.) slightly diluted Pelagic Gulf water general The widths of each zone are, on the average, greatest at high river stage but vary with tide and wind. Fresh water within the intermediate coastal band is highly dis crete and comparatively well stratified (Fig. 9A and B). At the sur face, water from South Pass discharges directly into this band, as indicated by Figures 1 and 13. Seaward of the distributary mouth bar southwesterly transport of fresh water is primarily in the form of the ambient band. On every field excursion the intermediate water mass Fresh C o a s t a l Fresh C o a s t a l Water Water -N- -N - G u lf South Pass Effluent •O t/ South *>/ •>V Pass 0 ./ o ./ :&&■/ E ffluent F l o o d i n g Ti de 3000 Ebbing Tide 3000 F t. Figure 13. Generalized surface effluent patterns and location of boundaries* B. Ebbing tide. A. Flooding tide. flanked the South Pass plume; never did the writer witness South Pass efflux directly into Gulf water. Foam Lines and Fronts Adjacent water masses are often sharply demarcated by thermohaline fronts and foam lines similar to those evident from Figure 1, Walsh (1969) attributes the surficial water boundaries of the Missis sippi Delta region to surface convergence of water masses with con trasting density. He also suggests that boundary sharpness attenuates with decreasing convergence rates, and that transition zones replace the boundaries when convergence is very weak. The writer observed strong lateral density contrasts across the boundary separating the intermediate band from saline Gulf water. Though Bates (1953^, p. 62) reports a salinity contrast of only 1.8 0/00 (on the basis of a single set of two water samples), the present investigation disclosed surface density differences as great as 10.5 at (or abour 14 0/00 salinity) between stations situated less than 100 yards apart. Overall, the freshwater band thins progressively with increasing proximity to the boundary (Figs. 9A and B, and 10B). How ever, the vertical steepness of the front increases when convergence is strong. The freshwater layer was nearly 5 feet thick only 50 feet from the front on the;afternoon of October 3» 1969, when a combination of flooding tide and onshore breeze augmented convergence. Boundaries delimiting the South Pass effluent are more complex. The sharpest contrast between South Pass outflow and ambient (coastal band) water occurs along the eastern plume boundary between the end of the east jetty and the inner buoy (Fig. 13A and 3). Here the front generally extends vertically to a depth of several feet, as suggested 49 by the a and B). cross sections transverse to the South Pass plume (Fig. 11A Surface densities are slightly higher (2 to k a.) east of the x» boundary. Along the seaward slope of the distributary mouth bar where the South Pass plume deflects to the southwest, the boundary is less well defined, presumably as a result of the vertical mixing described pre viously, Density, in this case, is usually lower on the seaward side of the boundary within the intermediate band (Fig. 9A and B). Despite comparatively low horizontal density contrasts the eastern boundary of the South Pass plume in the zone immediately seaward of the mouth appears to possess very real frontal qualities which pro hibit lateral mixing and diffusion. Experiments with Rhodamine-W dye were conducted at the mouth of South Pass on two separate occasions to estimate qualitatively the degree of diffusion between the South Pass plume and ambient water in the offing zone. The first experiment, on October 3# 19&9» was performed under calm sea conditions and slightly prior- to slack low water. Winds were light and from the east. The dye, injected at the mouth near the end of the east jetty, was photo graphed at rapid intervals as it spread seaward. Visual observations of the dye and inspection of the photographs indicated no fluid trans fer across the boundary. The second experiment was carried out on November 2?» 19^9» shortly after low water under conditions of moderately rough seas. Dye was injected about 1 mile upstream in the South Pass channel, and dye concentration (fluorescent intensity), was measured with a G.K. Turner Model III Fluorometer. Traverses were run repeatedly across the dye patch as it ieft the jetties and spread seaward. As in the previous experiment, the dye elongated within the plume and along the boundary but did not penetrate into the ambient water. The fluoro- meter indicated peak intensities immediately west of the boundary and base-level intensities (zero conentrations) just east of the boundary. These experiments demonstrate that very little lateral exchange takes place. Implications of Overall Surface Patterns Conventional jet theories such as those of Bates (1953a, 1953b) and Borichansky and Mikhailov (1966) explaining river mouth patterns in terms of progressive lateral turbulent diffusion between effluent and ambient waters (Pig. 14A) predict a gradual change in concen tration in the direction transverse to the axis of flow. The abrupt and frontal nature of the plume boundary and high degree of lateral homogeneity (in the y direction) across the plume strongly suggest that the turbulent plane-jet model is not applicable to surface water debouching from South Pass under normal conditions. The writer*s findings are more compatible with Takano*s (1954a, 1954b, 1955? see also Defant, 196l) generalized model of a homogeneous surface layer of light fresh water which spreads laterally with variable lateral ex change above the denser seawater (Fig. 14b). Continuity is maintained by a corresponding decrease in the vertical thickness of the fresh layer. At South Pass a seaward increase in vertical mixing between the mouth and the bar crest complicates the situation; however, for purely lateral surface tendencies at the offing Takano's approach is the most relevant. It is conceivable that effluent patterns may more nearly approximate a turbulent jet at times of river flood and ebbing tide when turbulence and lateral mixing are increased, Bondar (1969) Zone of e s t a b l i s h e d flow Zone of fl ow e s t a b l i s h m e n t Centre-line \ - - Q "(j C - ^ u ma x =^o 0 -y o ^ 3 ■ 0 /'''u m a x < u o O O ^ 0 O O O O C O O O C 0^0° °cooo of dif f usi on region W r Figure 1^. Two modes of effluent expansion. A. .Turbulent jet diffusion (after Albertson et al., 1950)• B. Lateral spreading as a discrete layer (modified by Walsh, 1969» after Defant, 1961). explains outflow trends at the Sulina mouth of the Danube River in i terms of a model similar to Takano’s. The Effects of Tide, Wind and Waves on Surface Patterns Tide exerts a considerable influence on surface effluent patterns (Fig. 13)• The South Pass plume is deflected more acutely to the south west during flooding tide, apparently in response to the lower dis charge and westerly tidal currents. The writer has observed that flood tide is also the time of both maximum frontal definition for any given sea state and minimum width of the freshwater bands. Southwest- ward transport by tidal currents and consequent convergence are probably responsible for these tendencies. Winds have a comparable if not greater effect on flow direction and surface layer widths. Onshore winds cause abrupt plume deflection and convergence by shoreward transport in much the same fashion as a flooding tide; offshore winds spread the surface layer seaward, result ing in the replacement of boundaries by progressive gradations. Irrespective of the overall direction of transport by either tide or wind, when winds are strong and seas are rough, surface water bands are more widely diffused and boundaries are poorer defined. Accord ingly, theory and experiments show that wind-and wave-induced surface turbulence increases lateral diffusion (Larsen, 1965? Wilson and Masch, 1967? Weigel, 196^, pp. ^37-^39? Johnson, i960). Current and Discharge Patterns Figure 15 A-C shows current vectors at 5“f°°t depth intervals at stations transverse to the channel axis along the crest of the distribu tary mouth bar for ebbing and flooding tide. on data of October 1 and 3# 19&9* These' diagrams are based Surface velocities at stations 53 !>y\ Cu rr a n t Vac tor t h. S u ria c a n» 10 Ft. 15 FI. 20 Ft. 1300 3000 30 0 0 C urra n t V a c to rt ” slurloca 10 Ft . 2 0 Ft., 2 5 Ft. 3 0 Ft. 3000 Figure 15a Current vectors transverse to the effluent and along the distributary mouth "bara A. Ebbing tide Just prior to low water, October 3, 1969. B. Flooding tide, October 3> 1969. C. Flooding tide, October 1, 1969 (seas rough). r aligned with the channel axis are seen to be greatest at ebbing tide, a fact which is consistent with the trends described for the channel mouth. Contiguous with the southwesterly deflection of the South Pass plume, surface vectors at both flooding and ebbing tide progressively turn clockwise with increasing distance southwestward along the bar. One of the most salient characteristics of the surface current patterns is a sudden change in direction and increase in seaward velocity in the general vicinity of the inner buoy near the northeast ern end of the South Pass bar. This position coincides with the northeastern boundary of the South Pass plume, and the rapid changes in vector direction and magnitude are typical of the boundary zone. Southwesterly currents immediately east of the boundary (Pig. 15 A and B) confirm the earlier proposal of surface convergence at the boundary. The boundary’s frontal nature and role in inhibiting lateral dif fusion are established by the sharp velocity differential across the boundary. This is strikingly evident from Figure 15A. The current data from the boundary zone were collected one-half hour after the first of the dye experiments referred to earlier. With the boat anchored at the boundary, currents were measured within a few feet of the boundary on either side. Surface velocities averaged 2.5 feet per second on the ambient side and Jj-.l feet per second on the plume side. These values represent a velocity difference of 1.6 feet per second within a lateral distance of approximately 5 feet. Such a current profile is inconsistent with that predicted by the turbulent plane-jet theory (Fig. l^A). During flooding tide, subsurface currents in the saltwater layer exhibited a strong southwesterly set. Combined with the decrease in discharge and seaward momentum, this flow is the probable cause of the greater southwesterly deflection of the South Pass plume and increased convergence (sharper boundaries) at flooding tide. The currents also undoubtedly contribute to the southwesterly elongation of the distributary mouth bar. Current vectors for stations on line 3 at flooding and ebbing tide on October 2, 1969* and February 12, 1970> are shown in Figure 16 A-D. These figures are relatively self-explanatory, but it should be pointed out that a moderate northeast wind was blowing on February 12 and was probably responsible for the somewhat extreme southwesterly surface deflection as well as for the strong northeasterly subsurface reverse flow observed on that date, A maximum surface velocity of 6.7 feet per second (based on drift speed) was observed over the bar on line 3 on May 2k, 1969, during high stage (10 feet at New Orleans) and ebbing tide. The South Pass plume was directed seaward with a minimum of deflection, and velocities exceeded ^-,0 feet per second as far as 12 channel widths seaward of the bar. Figure 17 shows freshwater and saltwater discharge vectors along line 3* A decrease in freshwater discharge (through the assumed 1- foot section) is evident between the mouth and the bar crest. This is an expected response to the lateral spreading of the surface effluent. The accompanying increase in the discharge of salt water relative to that of fresh water is commensurate with the increase in vertical mixing with proximity to the bar crest. Seaward of the bar crest, between the' 20-and 30 “foot contours, a consequential increase in fresh water discharge reflects the province of the intermediate coastal stream. C u rra n t V a c to rt .— • C urra n t V a c to rt S u rfa c a — 3 Ft . — — 10 F t . S u rfa c a 10 F t. 15 Ft . 2 0 Ft 1500 5000 2 0 Ft 3000 C urra n t V a c to rt — % C urrant V a c to rt Sur f oca 10 Ft . — S u rfa c a — — 5 Ft. * 10 Ft. - 2 0 Ft . - 2 5 Ft. v a lx itr 1300 Figure 16a Current vectors along line 3« A, Ebbing tide, October 2, 1969a Ba Flooding tide, October 2, 1969* Ca Ebbing tide, February 12, 1970a Da Flooding tide, February 12, 1970a D is c h a rg e V e cto rs — D is c h a rg e V e c to r! Fresh w a te r "S a lt w a te r —— F reeh w a te r ■■■■"— S a l t w a t e r $ ( a » t J e t ty L ig h t 30 30 •3 0 ' 13 0 0 3000 3000 C « *U « « i U Figure l?e Freshwater and saltwater discharge vectors along line 3# October 2, 1969* Ae Ebbing tide, B, Flooding tide. ll. The 180-degree reversal in direction of saltwater discharge sea ward of the bar between flooding and ebbing tide further demonstrates the significant influence of tide on subsurface marine transport. Figure 18 illustrates freshwater and saltwater discharge result ants and corresponding positions in the tidal cycle at 1-hour inter vals for a complete tidal cycle on November 11-12, 1969* at station SP 3-4, Westward flow of both fresh and salt water accompanied flooding tide for the first 6 hours of observations. During this time, the South Pass plume was so strongly deflected that the station lay seaward of its regime, in the more tranquil intermediate band. This must have been primarily the result of flooding tide, because winds and seas at the beginning of the observation period were almost totally calm. Flow ceased completely at hour 7 (approximately 3 hours after high water), then changed direction as flow within the stillpresent intermediate band reversed with the ebbing tide and steadily increasing southwesterly wind. With continuing ebb the South Pass plume swung more southward, and by hour 12 the station was within the main effluent, as indicated by the increase in discharge and south easterly flow. Surface velocities attained a maximum of 4.65 feet per second at hour 17, about 1 hour after low water, again indicating a lag effect. An increase in the strength of southwesterly winds pro hibited recurrence of the westerly plume deflection during the second flood phase, though velocity and discharge generally decreased with the rising of the tide. Table 5 indicates high statistical significance for an increase in freshwater discharge with decreasing tidal level, maximum correla tion occurring when a 3“hour lag effect is taken into account. 59 H I I 1400 D f ic h o r g o t o H I 3 1600 H I 2 150 0 H I 4 1700 HI 5 11 0 0 EmtUef» 2M i 9.96 •30 HI 6 1900 HI 7 3000 H I 11 3 4 0 0 H I 13 HI 8 3100 HI 9 3300 H I 10 0100 H I 13 0 2 0 0 H I 14 0300 HR 15 0 4 0 0 H I 17 0 6 0 0 HR 18 0 7 0 0 HR 19 0 8 0 0 HR 3 0 0 9 0 0 1200Llf HR 2 4 1 3 0 0 H I 25 3300 1.08 >08 H I 16 0500 HR 21 1 0 0 0 HR 2 6 150 0 ^ H R 22 11001 \ [ R « » u lta n ts fo r 26 h o u r p e r io d V?-> ^H R 23 1400 N o v . 12 j \ Figure 18# Freshwater and saltwater discharge vectors at 1-hour intervals for a complete tidal cycle at station SP 3“^» November 11-12, 19&9* Presumably this lag represents the time required for tidal influence to he transmitted to the effluent and is possibly unique to the cir cumstances prevailing during the observation period. The highly significant tendency for the ratio of freshwater discharge to saltwater discharge to be inversely related to tidal height (with a 3-hour lag) suggests the presence of the South Pass effluent at the station during ebbing tide. Table 5 Summary Statistics and Simple Correlation Coefficients for Discharge Parameters as Functions of Tide for Station SP 3-^» November 11-12, 19&9 Freshwater Freshwater/saltwater discharge________ discharge ratio Mean 5.033 0.565 Standard deviation 3.^91 0.3^1 Height of tide-(-no lasc) r -0.678** -0.315 NS Height of tide (with 3 hour lag) r -O.923** -0 .756** r = Simple correlation coefficient n = 26 ** Significant at .01 level NS Not significant 61 SEDIMENT TRANSPORT PATTERNS If prodelta and river-mouth morphology can be regarded as ultimate products of the circulation and mixing processes just described, then the penultimate product must be the pattern by which the sediments are transported prior to deposition. Bed Load Sediments transported both as bed load and suspended load con tribute to the development of subaqueous depositional topography. Unfortunately, measurements of bed load transport, were logistically precluded. However, the available information permits some general inferences. It has been demonstrated that the coarsest fractions transported to the mouth of a river as bed load are deposited within a short distance seaward of the mouth and are the primary constituents of the distributary mouth bar (Scruton, i960; Mikhailov, 1966 ; Fisk et al., 195^5 Coleman and Gagliano, 1965)* Indeed, the high percentage of sand and silt in the bar sediments at the mouths of the Mississippi (Fisk et al., 195^-j Henry, l<?6l; Scruton, I960; Shepard, i960) and the abundance of cross laminations among the sedimentary structures of the bars (Cole man and Gagliano, I965J Coleman et al., 1965) suggest predominantly bed load origin. Previous investigators have concluded that seaward bed load transport in the lower channel and beyond the mouth occurs only at flood stage when the salt wedge is presumably held just seaward of the bar crest (Scruton, 19^5? Bates, 1953^, 1953B? Moore, 1970). For the ideal case this conclusion has strong a priori foundations; however, in South Pass appreciable downstream velocities occur in the lower layer during ebb tide, even.at times of maximum salt wedge intrusion. 62 Evidence also shows that the salt wedge intrudes into the channel at high stage when the tide is flooding. It follows, then, that tide is as much (or more) a determinant of bed load transport at the mouth of South Pass as river discharge. Purely on the basis of the observed current patterns it is inferred that bed load reaches the bar primarily during ebbing tide, and has a maximum rate of transport at flood stage. Transport to the southwest along the bar should take place at flooding tide, when strong south westerly components are present within the lower layer. The accumulation of the bed load material as a distributary mouth bar may at least partially be a function of lateral flow separation and plane-jet turbulent diffusion of the lower layer. This postulation is strengthened by Jopling's (1963, 19&5) findings that when flow separa tion is restricted to the vertical, the bed remains horizontal to the point at which seaward declivity begins. Furthermore, the situation of the bar at approximately four channel widths seaward of the mouth (Figs. 9A and B, and 10A) is predicted by the plane-jet theory (Bates, 1953a* 1953b; Albertson et al., 1950)• Turbulent diffusion of salt water issuing from the pass at ebbing tide would be favored by the low or negligible density differential within the lower layer. During flood stage, however, and at times when fresh water occupies the entire depth of the channel, bed load deposition probably results from saltwater intrusion beneath the laterally spreading fresh water. Suspended Load Deposition beyond the offing and distributary mouth bar zone is primarily from sediment transported in suspension. Samples for sus- pended-load analysis were collected on seven different field trips during 1969 and 1970* Surface concentrations of suspended load at the mouth of South Pass varied considerably throughout the year. The samp ling periods were too few to permit valid statistical analysis, hut suspended-load concentrations were obviously controlled by river stage and water temperature (Table 6). The increase in suspended-load con centration with increasing discharge is accordant with thoroughly established expectations (Hjulstrom, 1939)* The inverse correlation between concentration and temperature is predicted as the result of an increase in fluid viscosity (Lane et al., 1949? Burke, 1966; Leliavsky, 195^» PP. 187-191). Table 6 Average Suspended Load Concentrations, River Stages and Water Temperatures for Six Observation Periods Observation period River stage at N.O. Water-surface temperature Average suspended-load concentration at surface for observation neriod April 12, 1969 10 feet 12.8°C 305.0 mg/1 May 23-25, 19^9 10 feet 22ol°C 90.0 mg/l June 30-July 2, 1969 4,3 feet 28»5°C 35.0 mg/l September 3“^> 1969 3.9 feet 29.0°C 4.0 mg/l September 30October 3, 1969 4.0 feet 26 • o°c 15 .0 mg/l February 12-13, 1970 4.0 feet 7.30G 46.0 mg/l Suspended-load variations with depth at the mouth of South Pass for flooding and ebbing tide for three separate occasions are shown in Figure 19A-E. Overall differences in absolute suspended-sediment con centration between the three periods are explicable in terms of stage and temperature; however, there are other apparent trends. Most con spicuous are. turbidity maxima at the salt-wedge interface and the tendency for these maxima to be most pronounced during flooding tide. These proclivities were not unique to the examples shown. The maxima may arise from a combination of four different mechanisms: (l.) a sud den decrease in the terminal fall velocity (of the sediment) in the denser salt layer; (2.) interfacial turbulence; (3 .) a recycling up ward of sediment which falls into the salt wedge from above; (4.) flocculation of colloids in the zone of freshwater-saltwater mixing. Postma (1967) reports that interfacial turbidity maxima are typical of salt-wedge estuaries. According to him, sediment which sinks into the salt wedge returns upstream with the reverse flow. The preferential upward exchange caused by entrainment of saltwater from the wedge then results in sediment concentration at the interface. Such reasoning also explains the greater prominence of the maxima during flooding tide, inasmuch as upstream flow within the salt wedge is best defined at flood tide. Below the interface, in the mid-depth regions of the salt wedge, suspended-load concentrations are minimal concurrent with the influx of relatively limpid marine water. The abrupt increase in sediment con centration near the bottom results from agitation of bottom sediments. This was substantiated by microscopic inspection of the samples near the bottom, which were found to contain a high fraction of coarse material. Vertical patterns of suspended-load concentration seaward of the mouth are highly complicated, as evidenced from Figures 20-22. However, 65 1M IS* H 0 II mJ >0 JO 40 JO •0 J»L 10 ■I Figure 19. Vertical distribution of suspended-sediment concentration at the mouth of South Pass (station SPCG). A. High stage, flooding tide, May 30, 1969. B. Low stage, ebbing tide, June 30, 1969. C. Low stage, flooding tide, June 30, 1969. D. Low stage, ebbing tide, February 12, 1970. E. Low stage, flood ing tide, February 12, 1970. 66 SP 3-3 SP 3-4 SP 3-5 Interface ■ o 13 13 T- 20 20 0 20 S u ip ttidcd 40 load 20 60 20 concentration Suipandad 40 load 60 80 c o n c a n t r a t i o n (m g / I) l»g/D SP SP 3-6 3-7 1SP 3 J 3 ^ / Interface Interfact - a 20 40 60 80 10 20 40 60 20 40 |m g/l) Figure 20, Vertical distribution of suspended-sediment concentration for line 3t July 1, 1969J low river stage, ebbing tide, calm seas# Upper layer turbidity maxima characteristic of low energy conditions are shown. 60 67 1 feet I I 1 II | Interface in \ si» — 3 -: Oeptk Ebbing tide :::::::::::: 0 | 10 10 20 ll iiiiiiiiiii' - Interface 3-6 Depth Ebbing tide / 1 - 10 I I 1 SP 3-5 ...... Ebbing 1 13 h * ............. e 1 ..... L 30 Suspended load co ncentration |mg/l) 1 Interface _ 20 Interface I feet SP 3-4 i f [blng tide\\\\\\ 10 load |m g/l) 0 5 t i : • j ;;! J»P ■Hi:! 20 S uipended concentration 0 y Interface 10 10 Seepended lead concentration (m g /ll 1 I bbing titie\\ 10 in 1 1 Interface SP 3-7. 20 ■■■■■■Ebbing tide........ i- f 10 0 Seiponded vl 10 10 20 load 30 --- 1 10 cancentratian Surpendcd 1 20 load concentration ii______ 23 30 40 0 (m g/ll' Suapended ("0 /1) feet SP / S B SP ..1... ............. 20 Depth ;I S P 3-2;;; SP i:flooding ; I 10 Suapended load concentration ( * /l) 0 20 3-3 Flooding tide ' ■ 0 10 S u ip e n d e d lo a d concentration (mg/l) N o defined interface 10 20 Suapended load concentration 1 I 10 V . 0 3-5 Flooding tide N o defined interface 1 .. 10 30 load concentration (m g/l| in interface 3-4 Flooding tide 10 20 S u ip e n d e d load concentration Figure 21. Vertical distribution of suspended-sediment concentration for line 3, Oetpber 2, 1969j low stage, calm seas. Note the increase in concentration with depth at stations SP 3-2, SP 3~3> and. SP 3-5 during ebbing tide. 68 0 TT“ SP 1-3 SP 1-4 Interface SP 1-5 Flooding tide SP 1-6 Flooding tide 5 Flooding tide Flooding tide • N o defined n interface 10 N o defined interlace N o defined interface a is - 20 20 60 40 Suspended load concentration (m g/l) 20 0 15 ! 20 40 Suspended lood concentration, (mg/l) 20 40 Suspended load concentration (mg/l) 20 40 Suspended load concentration (mg/l) 0 SP 2 - 3 SP 2 - 2 5 Ebbing tide Interface Interface 1 I Ebbing tide 10 0 20 Suspended IS 60 40 lood 100 80 concentration 120 20 40 Suspended load concentration (mg/l) (mg/l) SP 2 - 4 SP 2 - 6 Ebbing tide Ebbing tide SP 2 - 8 Ebbing tide N o defined interface a a e N o defined interface N o defined interface 1 20 Suspended 40 load concentration |mg/l| 20 20 20 Suspended 25 20 Sutpondod 40 40 60 load 60 to ad concentration |mg/l) Figure 22. Vertical distribution of suspended-sediment concentration for lines 1 and 2, May 23 and 2k, 1969? high river stage, rough seas. Lack of significant turbidity contrast between fresh and salt layers typical of rough seas and pronounced vertical mixing is shown. 60 close Inspection of the figures as well as additional data records from the study discloses some broad trends. The highest concentrations occur primarily in the upper layer of fresh river water, and, on calm days, vessels of moderate draft often leave a conspicuous wake of clear Gulf water in an otherwise turbid surface. Surface maxima are particularly apparent from Figure 20, Deviations from this tendency occur when rough seas promote vertical mixing (Fig. 22); when turbid water from the South Pass channel is dis charged seaward within the saltwater layer during ebbing tide (Fig. 21) and over the distributary mouth bar, where the shallow depths favor entrainment of bottom material by waves and currents. The correlation between sea state and vertical distribution of suspended sediments testifies to the ability of rough seas to transfer sediment from the domain of the river effluent to that of the marine forces. The concen tration increase in the salt layer during ebbing tide (Fig. 21) implies that ebb currents do indeed transport material from the channel to the bar at low river stage. Surface Turbidity Patterns The transport of suspended material by surface effluents is indicated by surface variations in suspended-load concentration. Figure 23 shows a ‘typical high-stage surface distribution of suspendedsediment concentration based on data collected near high tide slack water on May 24, 19&9* These data illustrate the plume deflection as well as the sharp concentration contrast near the mouth between the South Pass plume and ambient water. A concentration decrease with increasing distance seaward evidences the progressive settling out of sediment from the upper layer. Suspended sediment concentration -N- (m g/l) 9 2 \ E a st J etty light 5 \ ■ % \ U V 7 Inner \w••§ • 53 Buoy 14 18 m ~ y * 2o mg/l 73 66 • 50 50 Ft. C o n to u r s in ft. Figure 23* Surface distribution of suspended-sediment concentration at high river stage, April 12, 1969* The plume boundary lies approxi mately between the 60 mg/l and 40 mg/l isolines* iLow-stage surface concentrations at ebbing and flooding tide for September 3 and 4, 1969* and the approximate positions of the South Pass plume boundary are shorn in Figure 24A and B. Abrupt south westerly deflection of the sediment outflow at flooding tide is evi dent. In contrast to the high-stage situation, suspended-load concen trations of the ambient water exceed those of the South Pass plume. In addition, the seaward turbidity decrease which characterizes the highstage plume is lacking at low stage, signifying a low deposition rate. These tendencies were typical of low-stage turbidity patterns. Figure 25 shows variations with distance seaward in suspendedload concentration for several different survey lines and observation periods. On almost all of the lines a secondary (or primary, on the low-stage profiles) turbidity peak is present in the zone between five and ten channel widths seaward of the mouth. The graph also illustrates the more rapid seaward decrease in concentration which accompanies high stage. These trends lead to two fundamental conclusions regarding the transport and deposition of suspended material: (1.) For the most part, deposition of sediment carried in suspension by the South Pass surface effluent takes place in the prodeltaic region during high river stage; (2.) during low river stage, particularly during the late summer months when water temperatures are high, the intermediate band of fresh water from the northeast is the main contributor of suspended sediment. It appears that much of the sediment carried by the ambient stream derives from Garden Island Bay, immediately east of South Pass where waves and tidal currents agitate the shallow bottom. Suapaadad aadiaaaat concaalrollea |aig/l) Su apandad aadiraant concanlrolion (aig/l) ^Innar Buoy 3000 Conloura ia il. Figure Zk, Surface distribution of suspended-sediment concentration at low river stage* tide, September 4, 1969* B* Flooding tide, September 3# 1969* Contour* in It. A* Ebbing 73 90 *....... 80 (mg/l) concentration 50 40 Suspended 60 l oad 70 •.-i 30 20 10 ct 10 Distance 15 seaward 20 25 in c h a n n e l widths 30 Figure 25. Suspended-sediment concentrations at the surface along several different survey lines at high and low stage. Flocculation and "Sludge" Formation When fresh water charged with colloidal clays comes into contact with seawater, an increase in the electrolytic content of the medium and corresponding decrease in electrolytic potential of colloidal particles result in flocculation and increased settling rates (Whitehouse and Jeffreys, 195**; Postma, 1967). This mechanism is responsible for "sludge", a dense, semisuspended, gelatinous ooze regarded by numerous investigators as a significant contributor to deltaic sedimen tation (Bates, 1953a, 1953b; Cobb, 1952; Holle, 1952; Henry, 1961). Most of the arguments advanced in favor of "sludge" as a major depositional mode have been based on commonly observed acoustic fathometric reflections from 10 or more feet above the bottom. Systematic observations of these reflections both in the pass and over the bar during this study revealed them to be solely associated with the salt-fresh interface. A tendency for ships to lose way upon approaching the passes of the Mississippi River, also cited as evidence of "sludge", is explicable in terms of the drain on the ships* power by the generation of internal waves when the ships* keel and the density interface coincide (Neumann and Pierson, 1966, pp. 381-391; Sverdrup et al., 19**2, p. 587)• Undeniably, flocculation and coagulation near river mouths are important geochemical processes and may even be partially responsible for the turbidity maxima observed at the salt-wedge interface in the lower reaches of South Pass. Furthermore, a thin layer of "sludge" is probably present at low river stage near the bottom in areas where tidal currents are incapable of removing it (Bates, 1953b). However, suggestions of layers. 10 or more feet in thickness appear to be overestimates of the abundance of this material. This study reveals that the relative contribution of "sludge" formation to prodeltaic development merits reevaluation. SUMMARY AND CONCLUSIONS The roles of fluvial, marine, and fluvial-marine interaction processes in controlling the dissemination of sediment-laden outflow at the mouth of South Pass were investigated and the assumptions upon which most existing models of river mouth and prodeltaic sedimentation are based were reevaluated. The salient findings are summarized. In the lower South Pass channel a combination of saltwater intru sion and tide dominate circulation and mixing. Seaward discharge and vertical mixing in the channel are greatest during ebbing tide, when the hydrostatic gradient is at a maximum. Direction of flow within the saltwater wedge is largely a function of tidal phase, upstream currents prevailing .during flooding tide and downstream currents characterizing ebbing tide. Bed load transport in the lower channel, particularly at low and normal river stage, is therefore considered to be tidedependent. Immediately seaward of the jettied mouth the freshwater effluent typically spreads laterally above the denser salt water as a relatively homogeneous layer rather than progressively diffusing laterally in accordance with the turbulent jet model. Slight density contrasts between effluent and ambient waters permit the formation of a frontal boundary, which inhibits lateral mixing and facilitates the retention of effluent discretion. This boundary is sharpest at flooding tide, when westerly transport of ambient water favors convergence and decreased mixing within the channel results in a higher density differential. Mixing and deconcentration of the freshwater effluent take place primarily in the vertical hy means of four major processes: (l.) an abrupt decrease in the depth of the salt-wedge interface in response to lateral spreading of the upper layer increases the value of the densimetric Froude number, leading to mixing by interfacial waves; wind-and wave-generated turbulence; (3.) tidal currents; (2.) (U») inter action between the effluent and the distributary mouth bar. Outflow in the lower (salt) layer is responsible for bed load transport and probably for the formation and development of the dis tributary mouth bar. With the possible exception of extreme flood stage, efflux of this layer is highly tidal. It is possible that flow in the lower layer decelerates by lateral turbulent jet-type diffusion. Flanking the South Pass effluent and seaward of the bar crest, fresh water from outlets to the northeast drifts to the southwest as a distinct band and at low river stage is sediment. the major source of suspended This band is highly stratified during calm seas but mixes with ambient and underlying salt water when winds are strong and seas are rough. Flow and net sediment transport are predominantly deflected southwestward by a combination of oceanographic factors, including south westerly coastal drift owing to the dominant winds and possibly a Coriolis effect. At any given time, the rate of southwesterly deflec tion depends on the tidal phase, being greatest during flooding tide. The direction and magnitude of subsurface flow over and seaward of the bar are chiefly tidal; strong southwesterly currents occur during flooding tide and weak and occasionally reversed currents are observed during ebbing tide. It is concluded that the patterns of fluid and sediment dissemina tion and consequent sediment deposition at the mouth of South Pass can be satisfactorily explained only in terms of complex fluvial-marine interactions. Numerous fluvial, oceanographic, and topographic factors act as highly significant controls. These factors interact with one another and with their morphological "product", yielding a unified system with a unique process signature. Any significant over all change in tide, winds, hydrologic regime, or channel mouth geometry would undoubtedly produce an appreciably altered end result. REFERENCES Albertson, H.L., Y.B. Dal, R.A. Jensen, and H. Rouse, 1950, Diffusion of submerged jets. Trans. Amer. Soc. Civil Engrs., 115*639-697. Axelson, V., 1967, The Laltaure Delta. Geograflska Annaler, 49A(l). Bates, C.C., 1953a, Rational theory of delta formation. Assoc. Petrol. Geologists, 37(9)*2119-2161. Bull. Am. , 1953b, Physical and Geological Processes of Delta Formation. PhD dissertation, Texas A & M, 262 pp. Bondar, C., 1963, Data concerning marine water penetration Into the mouth of the Sulina channel. Studli de Hidraulica 9(1)*293-335 (In Romanian). , 1967, Contact of fluvial and sea waters at the Danube River mouths In the Black Sea. Studli de Hidrologle 19*153-164’ (in Romanian)• . 1968, Hydraulical and hydrological conditions of the Black Sea waters penetration Into the Danube mouths. Studli de Hidrologle 25*103-120 (In Romanian). , 1969* Theoretical study on the spreading of a light-liquid current in a basin with a heavier liquid. Symposium on the Hydrology of Deltas, UNESCO, Bucarest, Rumania, May 1969. Borichansky, L.S. and V.N. Mikhailov, 1966 , Interaction of river and sea water in the absence of tides. Scientific Problems of the Humid Tropical Zone Deltas and their Implications, UNESCO, pp. 175-180. Bowden, K.F., 19^7, Circulation and diffusion. In (G.H. Lauff, ed.) Estuaries, Am. Assoc. Adv. Sci. Pub. 83, pp. 15-36. _______ and S.H. Sharaf el Din, 1966, Circulation, salinity and river discharge in the Mersey Estuary. Geophys. Res. Roy. Astronomi cal Soc., 10(4)1383-399. Breisehneider, C.L. and R.D. Gaul, 1956, Wave statistics for the Gulf of Mexico off Burrwood, Louisiana. U.S. Army Corps of Engineers Beach Erosion Board Tech Memo. 87. Burke, P.P., 1966, Effect of water temperature on discharge and bed configuration, Mississippi River at Red River Landing, Louisiana. U.S. Army Corps of Engineers, Committee on Channel Stabilization Tech. Report No. 3* Cobb, W.C., 1952, The passes of the Mississippi River. Engrs. Convention Preprint Paper No. 13* Am. Soc. Civil Coleman, J.M. and S.M. Gagliano, 1965, Sedimentary structures* Mississippi River deltaic plain. In Primary Sedimentary Structures and their Hydrodynamic Interpretation, Am. Assoc. Petrol. Geologists Spec. Pub. No. 12. Coleman, J.M., S.M. Gagliano, and J.E, Webb, 196**, Minor sedimentary structures in a prograding distributary. Marine Geology, 1(3) * 240-258. Craya, A., 1951# Critical regimes of flows with density stratification. Tellus, 3(1)*28-42. Defant, A., 19&1, Physical Oceanography. 729 pp. New York (MacMillan), Vol. 1, Drennan, K.L., 1968, Hydrographic Studies in the Northeast Gulf of Mexico. Gulf South Research Inst. ESSA, 1969, Tide Table East Coast of North and South America. ton, D.C., Dept, of Commerce. Farmer, H.G., 1951# An experimental study of salt wedges. Oceanographical Institute Ref. No. 51-99* , and G.W. Morgan, 1953# The salt wedge. Eng., pp. 54-64. Washing Wood's Hole Proc. 3rd Conf. Coastal Fisk, H.N., 1944, Geological Investigation of the Alluvial Valley of the Lower Mississippi River. U.S. Army Corps of Engineers, Mississippi River Commission, Vicksburg. , E. McFarlan, C.R. Kolb, and L.J. Wilbert, 1954-# Sedimentary framework of the mo d e m Mississippi Delta. J. Sediment. Petrol. 24(2). Gilbert, G.K., 1884, The topographical features of lake shores. Rept. U.S. Geol. Survey 5# PP» 104-8. Ann. Hamada, T., 1959# Two properties of the stratified density current at a river mouth. Inter. Assoc. Hydraulic Res. 8th Congress, 2t2Cl2C23. Harleman, D.R.F., 1961, Stratified flow. In (V.L. Streeter, ed.) Handbook of Fluid Dynamics, New York (McGraw-Hill), Section 26. ______, 1965# Diffusion processes in stratified flow. Mass. Inst. Technol. Estuary and Coastline Hydrodynamics, Part IV, Chapt. L. » J.A. Hoopes, D. McDougall, and D.A. Goulis, 1962, Salinity effects on velocity distributions in an idealized estuary. Mass. Inst. Technol. Hydrodynamics Laboratory, Dept. Civ. Eng., Rept. 50. Harvey, W.R., 1966, Least-squares analysis of data with unequal sub class numbers. U.S. Dept, of Agrlc., Agric. Research Service, ARS 20-8, 157 pp. Henry, V.R., 1961, Recent Sedimentation and Related Oceanographic Factors in the Vest Mississippi Delta Area* Doctoral disser tation, Texas A & M. HoUe, C.G., 1952, Sedimentation at the mouth of the Mississippi Rivep. Proc. 2nd Conf* Coastal Eng*, pp. 111-129* Hjulstrom, F., 1939» Transportation of detritus by moving water* In Recent Marine Sediments, Am. Assoc* Petrol* Geologists, pp* 5-31* Ichiye, T*, 1953» On the effects of waves on the vertical distribution of water temperatures* Records of Oceanographic Works in Japan, Vol* 1, no. 1. Ippen, A.T., and G.B* Keulegan, 1965* Salinity intrusions in estuaries* In (Wicker, ed.) Evaluation of Present State of Knowledge of Factors Affecting Tidal Hydraulics and Related Phenomena, Chapt* IV, U.S. Army Corps of Engineers, Committee on Tidal Hydraulics* Johnson, J.W., i960, The effect of wind and wave action on the mixing and dispersion of wastes. Proc. First International Conf'* Waste Disposal in the Marine Environment, Pergamon Press, pp. 328-343. . and H.C. Hwang, 1961, Mixing and dispersion by wind waves. Univ. Calif. Institute of Engineering Research Tech. Rept* Series 138, Issue 5» Jopling, A.V., 1963, Hydraulic studies on the origin of bedding* Sedlmentology, vol. 2. . 1965, Hydraulic factors controlling the shape of laminae in laboratory deltas. J. Sediment* Petrol., 35(4). Ketchum, B.H., 1953* Circulation in estuaries. Eng., pp. 65-76. Proc. 3rd Conf. Coastal Keulegan, G.H., 1949* Interfacial instability and mixing in stratified flows. U.S. National Bureau of Standards, Journal of Research, 43:487-500. , 1955* Interfacial mixing in arrested saline wedges. 7th progress report on model laws for density currents, U.S. National Bureau of Standards Rept. 4142. . 1965» The mechanism of an arrested saline wedge. Mass. Inst. Technol. Estuary and Coastline Hydrodynamics Part IV, Chapt. K. Kolb, C.R., and J.R. Van Lopik, 1958, Geology of the Mississippi Deltaic Plain, Southeastern Louisiana. U.S. Army Corps of Engineers, Waterways Experiment Station. Krumbein, W.C., and F.A. Graybill, 1965, An Introduction to Statisti cal Models in Geology. New York (McGraw-Hill), 475 pp. Lane, E.W.# E.J. Carlson, and O.S. Manson, 19^9# Low temperature Increases sediment transportation in Colorado River. Civil Engineering (September, 19^9). Larsen, I., 1965* Wind effect on the spreading of waste water from a marine outlet. International Association for Hydraulic Research XI Congress, Leningrad, vol. 2, section 2.13* Leliavsky, S., 195^# An Introduction to Fluvial Hydraulics. (Constable and Co.), 257 pp. London Macagno, E.O., and H. Rouse, 1961, Interfacial mixing in a stratified flow. J. Eng. Mech. Div., ASCE No. EM5# Oct® 1961, pp. 55-81* , 1962, Interfacial mixing in stratified flow. Civil. Engrs. 127*102-128. Trans. Am. Soc. Marmer, H.A. ,195**# Tides and sea level in the Gulf of Mexico. U.S. Dept. Interior Fish and Wildlife Service Bull. 89*101-118. Masch, F.D., 1961, Mixing and dispersive action of wind waves. Calif. IER Tech. Rept. 138-6, November 1961. Univ. . 1962* Observations on vertical mixing in a closed wind wave system. Univ. Calif. IER Tech. Rept. 138-7# Jan. 1962. . 1963. Mixing and dispersion of wastes by wind and wave action. J. Air and Water Pollution 7*697-720. 1 Mclntire, W.G., 195^# Correlation of prehistoric settlements and delta developments. Louisiana State Univ., Coastal Studies Tech. Rept. No. 5* Mikhailov, V.N., 1966, Hydrology and formation of river mouth bars. Scientific Problems of the Humid Tropical Zone Deltas and their Implications, UNESCO, pp. 59-6^• Moore, G.T., 1970, Role of salt wedge in bar finger sand and delta development. Bull. Am. Assoc. Petrol. Geologists 5^(2)*326-333. NEBECO, 1961, River Studies and Recommendations on Improvement of Niger and Benue. Netherlands Engineering Consultants, Amsterdam (North Holland Publishing Company), 1,000 pp. with maps. Neumann, G., and W. Pierson, 1966, Principles of Physical Oceanography. New Jersey (Prentice-Hall)• Otsubo, K., and H. Fukushima, 1959# Density currents in a river mouth with a small tidal range. International Association for Hydraulic Research, 8th Congress Proc., vol. 2, paper *W2. Ouellette, D.J., 1969# Sediment and water characteristics, South Pass, Mississippi River* Louisiana State Univ., Coastal Studies Bulletin No. 3# pp. 29-53. Postma, H., 1967* Sediment transport and sedimentation in the estuarine environment* In (G.H. Lauff, ed.) Estuaries, Am* Assoc* Adv* Sci. Pub. 83* pp. 158-194. Pritchard, D.W., 1952* Estuarine hydrography* Advances in Geophysics, li243-280. , 1955* Estuarine circulation patterns. Engrs, 81(717). In (Landsberg, ed,) Proc* Am* Soc* Civil Raudkivi, A.J., 1967* Loose Boundary Hydraulics, London (Pergamon Press) 331 PP. Russell, R.J*, 1936, Physiography of the Lower Mississippi River Delta. In Reports on the Geology of Plaquemines and St* Bernard Parishes, Louisiana Dept. Conserv*, Geol* Bull* 8* . and R.D. Russell, 1939* Mississippi River Delta sedimentation. In Recent Marine Sediments, Am* Assoc* Petrol* Geologists, pp. 153-177* Santema, P., 1966, The effect of tides, coastal currents, waves and storm surges on the natural conditions prevailing in deltas. In Scientific Problems of the Humid Tropical Zone Deltas and Their Implications, UNESCO, pp. 109-113* Schultz, E.A., and H.B. Simmons, 1957* Fresh water - salt water density currents, a major cause of siltation in estuaries. Communication 3* Section II, XIX International Navigation Congress of the Per manent International Association of Navigation* SchultzE.A*, and J.B. Tiffany, 1965* Effects of density differences \on estuarine hydraulics. In (Wicker, ed.) Evaluation of Present State of Knowledge of Factors Affecting Tidal Hydraulics and Related Phenomena, U.S. Army Corps of Engineers, Committee on Tidal Hydraulics, Chapt. V. Scruton, P.O., 1956* Oceanography of Mississippi Delta sedimentary environments. Bull. Am. Assoc. Petrol. Geologists, 40(12):28642952. , I960, Delta building and the deltaic sequence in Recent sedi ments, lorthwestem Gulf of Mexico. Am. Assoc* Petrol. Geologists pp. 82-102. , and D.G. Moore, 1953* Distribution of turbidity off Mississippi Delta. Bull. Am. Assoc. Petrol. Geologists, 37*1067-1074. Shepard, F.P., i960, Mississippi Delta: marginal environments, sedi ments and growth. In Recent Sediments, Northwestern Gulf of Mexico, Am. Assoc. Petrol. Geologists, pp. 50-81* Simmons, H.B., 1952, Salinity problems* Engineering, pp. 68-85* Proc* 2nd Conf. Coastal Stommel, H*, and H.G* Farmer, 1952, Abrupt change in width in twolayer open channel flow* J* Marine Res., 11s205-214-. Sverdrup, H.U., M.W. Johnson, and R.H* Fleming, 194-2, The Oceans, New Jersey (Prentice-Hall)9 1087 pp* Takano, K., 1954a, On the velocity distribution off the mouth of a river* J* Oceanog* Soc. Japan, 10(2) i60-64-* , 1954b, On the salinity and velocity distributions off the mouth of a river. J. Oceanog. Soc. Japan, 10(3)i92-98. , 1955, A complimentary mote on the diffusion of the seaward flow off the mouth. J. Oceanog. Soc. Japan, 11(4-) * Tollmien, W., 1926, Berechnung Turbulenter Ausbreitungsvorgange. schrift fur Angewandte Mathematik und Mechanik, vol. 6. Zeit- U.S. Naval Oceanographic Office, 1966, Handbook of Oceanographic Tables. Spec. Pub. SP-68, Washington, D.C. U.S. Army Corps of Engineers, 194-1, Report of Improvements of the Passes of the Mississippi River (unpublished). , 1959, Investigations and Data Collection for Model Study of Southwest Pass, Mississippi River. 2 vols. Walsh, D., 1969, Characteristic Patterns of River Outflow in the Mississippi Delta. Texas A & M University, Dept, of Oceano graphy, Ref. No. 69-8 -T, 222 pp. Weigel, R.L., 1964, Oceanographical Engineering. Hall), 532 pp. New Jersey (Prentice- Welder, F.A., 1959, Processes of deltaic sedimentation in the Lower Mississippi River. Louisiana State Univ., Coastal Studies Tech. Rept. No. 12. Whitehouse, V.G., and L.M. Jeffrey, 1954s Flocculation in estuaries. Texas A & M Dept, of Oceanography, Oceanography and Meteoro logy Series, Sept. 30, 1954. Williams, J., 1962, Oceanography. 242 pp. Boston (Little, Brown and Co.), Wilson, J.R., and F.D. Masch,1967, Field investigation of mixing and dispersion in a deep reservoir. The University of Texas Hydraulic Engineering Laboratory Tech. Rept.HYD10-6701. Zenkovitch, V.P., 1967, Processes of Coastal Development, New York, Wiley, 739 pp. VITA Lynn Donelson Wright was born December 13* 19^0* in Nashville, Tennessee* He graduated from St. Johns Country Day School, Orange Park, Florida, June i960, and entered the University of Miami (Florida) In September of the same year. He received a Bachelor of Arts degree from that university in June 1965# majoring In geography and geology. During the same month he enrolled as a candidate for the degree of Master of Arts in geomorphology in the Department of Geography, University of Sydney (Australia) • He submitted his thesis The Coastal Barrier System of the Shoalhaven Delta Region in June I967. The degree of Master of Arts with honors was conferred in December 1967. He enrolled at L.S.U. and began working on the degree of Doctor of Philosophy in the Department of Geography and Anthropology in September 1967* He is a member of the Association of American Geographers and the American Geophysical Union. EXAMINATION AND THESIS REPORT Candidate: Lynn Donelson Wright Major Field: Geography Title of Thesis: Circulation, Effluent Diffusion, and Sediment Transport: Mouth of South Pass, Mississippi River Delta Approved: M a jo r Professor and Chairman ~ ean: Of ofDthe Graduate School EXAMINING COMMITTEE: y a/ / ^iJ (X Date of Examination: April 13, 1970
© Copyright 2026 Paperzz