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7/28/2019 2799-12055-1-Pblongshore Transport of Suspended Sediment
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CHAPTER 56
LONGSHORETRANSPORTOFSUSPENDEDSEDIMENTby
JohnC .Fairchild*
ABSTRACTInexcessof800suspendedsedimentsampleswerecollectedfromstations
alongth eCityPier,Ventnor,NewJerseyan dJennettesPier,NagsHead,NorthCarolinausingatractor-mountedpumpsampler.ostsampleswerecollectedwithinthesurfzoneattheVentnorsite.tth eNagsHeadsite,samplecollectionsincludedthesurfzone,butgenerallyextendedoverawiderrangeofth enearshorezone.veragesamplingtimewas3minutes.Nozzleelevation variedfrom3inchesaboveth ebottom uptoamaximumaboutmid-depth,generallynotgreaterthan2.5feetabovebottom.aximumconcentrationsatVentnorrangedupto2.6pptby weightan datNagsHeadwereabout4.0ppt.ediansizeatVentnorrangedfrom0.12to0.15 mmandaveragedabout0.20mm indepthsof4feetan dlessatNagsHead.Resultsaresummarizedinaseriesofscatterplotswhichrelatesuspendedsedimentconcentrationtonozzleheight,waveheight,waterdepthan dsamplingdistancefromanobserved wave-breaker-line.esultsar ecomparedtoCERClaboratorydata,totwoexcerptedconcentrationsfrom unidirectionalflowtestsandtotheCERCTR-4designcurveoflongshore wav eenergyversuslongshoretransport.Introduction
Designcriteriaforproblemsinvolvingsedimenttransportby waveactioncouldbegreatlyimprovedbydevelopmentofempiricalrelationshipsfromfieldmeasurementscoveringa widerangeofwaveconditions. Inth eabsenceofadequatedataorpredictivetechniques,th ecoastalengineerhasreliedonhistoricalcompilationsofdredgingandsurveyrecordstoobtainlongshoretransportestimates. Bettertechniquesar eneededan dtherefore,fieldandlaboratorystudiesofsedimenttransportar eneededtogainaddedknowledgeofnaturalbeachprocesses,leadingtobetterpredictionsoflongshoretransportrates. Thispaperreportsonsomedataonsuspendedloadsgatheredinbothoceanandlaboratorywaves.
Longshoretransportofsuspendedsedimentisoneofth etwobasicmodesof waveinducedsedimenttransport,theother modebeingbedloadtransportwherebyth ebedsedimentispushedorrolledalongth enearshorebottombywaveaction,andtheresultingshearstressinth ebottomboundarylayer.Th etotalamountofsuspendedmaterialmovingalongagivenshoreoveragiventimedependsonth ecomplexinteractionsofseveralfactors,includingwaveconditions,waterdepth,beachslope,characteristicsofth ebeachmaterialsandtotalrangeofthetide. Importantamongth eseveralinter-
*ResearchHydraulicEngineer,CoastalEngineeringResearchCenter,Washington,D .C .
1069
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1070 COASTALENGINEERING actionsisthegeneration ofth elongshorecurrentduringthe wavebreakingprocess. Thiscurrenttransportslargeamountsofbottommaterialsforcedintosuspension bywave-generatedcurrentsan dturbulence.
Anearlyestimateofth elongshoretransportofsuspendedsedimentwa smadeby Watts( 1 ) ,usingpumpsamplingsofsuspendedsedimentfromapieratPacificBeach,California.pdatedestimatesofth elongshoretransportofsuspendedsedimentmay bemadefrom fieldan dlaboratorydata,includingsuspendedsedimentconcentrationsandrelated waveparameters,now on handatCERC( 2 ) . ThisdatawasobtainedattwoAtlanticcoastsites,andinth eCERClaboratorywavefacilitiesusing pumpsamplingtechniques.
Theparagraphs whichfollow brieflydescribethefieldsampling,comparethefieldresultstoCERC-laboratorydataandtotw oexcerptsofdatafromunidirectionalflowtests,an dfinally,comparecomputedlongshoretransportratestotheCoastalEngineeringResearchCenterTR-4designcurveoflong-shoretransportversuslongshorewaveenergyflux.FieldSampling
Inexcessof800suspendedsedimentsampleswerecollectedfromstationsalongtheCityPier,Ventnor,NewJerseyandJennettesPier,NagsHead,NorthCarolina,usingatractor-mountedpumpsampler( 3 ).igure1isaschematicillustration ofthesampler onafishing pier.ostsampleswereobtained
T ANK p|EB 0ECK
SAMPLER INTAKEPIPE
1/2"NOZZLE
FIGURE: SCHEMATIC VIEWO F RACTOR-MOUNTEDSUSPENDED SAND SAMPLER O N A PIER
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LONGSHORETRANSPORT 1071withinth esurfzoneatVentnor,N.J .under varyingintensities(typesan dproximities)ofwavebreaking.agsHeadsamples werecollectedinthesurfzone,butgenerallyextendedoverawideranddeeperrangeofth enearshorezone. Figure2isaschematicillustrationoftheareasofinterestinth esamplecollectionswhichshowsasurfzone,aswashzoneandanoffshorezone.Averagesamplingsof3 minutestimeweremadefromaheightof3inchesabovethebottomuptoamaximumheightataboutthe mid-depthlevel.achsample,asinitiallypumpedthrougha1/2-inchintakenozzle,wasa40gallonvolumeofwater-sedimentmixture whichwasdecantedinthefieldtoasample-sizequantityofwetsand.aboratoryanalysisan ddatareductionatCERCyieldedasuspendedsedimentconcentrationandasizedistributionforeachsample. Inthe Ventnordata,maximum concentrations wereabout2.6pptby weight(equivalentto3 80grams(.84lb)ofsandin40gallonsofseawater)an dminimum concentrationswereoftheorderof.025ppt(lessthan4gramsin40gallons).ntheNagsHeaddataconcentrationsabove1.0pptby weightoccurred morefrequentlywithtw omeasuredvalueswhichwereabove4ppt.However,there wasalsoagreaterpercentoccurrenceofconcentrationsbelow.0 1pptintheNagsHeaddata.ediandiameterofthesuspendedsedimentrangedfrom.1 2to.1 5mmforthe Ventnordataan daveraged0.20mm in depthsof4feetorlessatNagsHead. Indepthsof8to12feetatNagsHead,mediandiameterofsuspendedsedimentsamplesaveragedabout0.17mm.
OFFSHOREZONE
"Outer ar (Inner Bar,ow Tide
FIGURE:CHEMATICROFILEF URFO N E
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1072OASTAL ENGINEERING DiscussionofResultsfromSampleCollections
Table1liststh eprincipalvariablesconsideredinthisstudy. Theconcentration,C isconsideredtobeadependentvariabledetermined byan unknownfunctionofelevation,depth,waveheight,anddistancefromth ewave-breaker-line
Cw=f( EB,d ,H,SB) .ThevariablesQand9 ,areusedinthefinalsectionofthispaper.
Table1 .EFINITIONOFVARIABLESCsuspendedsedimentconcentration(pptbywgt)ER-elevationofsuction nozzle(ftabove bottom)dwaterdepthatsamplingstation(ft)Hsignificant waveheight(ft)S , ,-distancefromthewave-breaker-line(ft,+islandward)i > 3Qlongshoretransportrate(100,000yd/yr9 ,-anglebetweena wavebreakingcrestandtheshoreline(designated
of einFig.13 ,CERCR-4)TheresultsfromthesamplecollectionsatVentnor,N.J .an dNagsHead,
N .C .aresummarizedinaseriesofscatterplotswhichrelatesuspendedsedimentconcentrations,C in partsperthousand(ppt)by weighttothew4independentvariables. Sedimentconcentrationispresentedintheseveralfigureswhichfollowbysamplingstations,andbyallstationsplottedtogetherongeneralscatterplots. Th esamplingstationscatterplotsshowdatacollectedataspecificstationonth epierusuallywithinaperiodof3 hoursorless. Th egeneralscatterplotsar erepresentativeofallthedatacollectedandsomay have moresignificancethandatacollectedataspecificstationan doverperiodsof-say2to3 hours.
Figures3and4ar esinglestationscatterplotswhichshowth everticaldistributionofsuspendedsedimentconcentrationfortw opierstationsatVentnor,andtw opierstationsatNagsHead,respectively.otethatth eordinateineachfigurerepresentsconcentrationsofsuspendedsediment,Cinpptby weightandthattheabscissarepresentssamplingnozzleheights,E ,infeetabovetheoceanbottom.wosetsofpointsar eplottedintheright-sidegraphinFigure3 ,withth eopencirclesrepresentingsamplingsbefore1200hoursan dthefilledcirclesrepresentingsamplingsafter1300hours. It wasobservedduringthesamplingsthattherewasanabruptincreaseinthewaveactivityatabout1300hoursandthisgraphshowshowquicklyth econcentrationlevelrespondstoth eincreased wav eheight,an dhowmuchflatterth etrendisforth ehigherwaves( H1.82ft).
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1074 COASTAL ENGINEERING l 11" -1
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LONGSHORE TRANSPORT0 7 5Also,noteth econsiderabledifferenceinth esteepnessofthescattertrendsinFigure4forth eNagsHeaddata.asedonastudyofnumerousplots,itwasfoundthatahigher waveormoreintense waveactivity wasusuallyassociated withth eflatterdistributiontrends.
Figure5relatesconcentrationofsuspendedsedimenttothedistanceofthesamplingstationfrom anobserved wave-breaker-lineforth eVentnordata.Th etopgraphrelatessuspendedsedimentconcentrationtodistancefrom amoving wave-breaker-lineforasinglestationduringaneighthourperiod.Thebottom graphshowsthesametypeofrelationshipbu tforshorterperiodsoftimeonthreeseparatedates. Basedonth eauthor'sexaminationofth eeffectofotherfactorssuchaswaveheight,waterdepth,nozzleheight,itishisjudgementthatthetypeofwavebreaking(surging,plungingorspilling)iswhatcausedth eparticulardistributionofth ethreedatagroupsshowninthisscatterplot.
Thenextthreefigures,6 ,7and8are morerepresentativeofal lthedatacollectedthanth elastthreefigureswhichgaveresultsfordatacollectedatasinglestationandgenerallyovertimesoftw oorthreehours.Th efirstofthese,Figure6 ,relatessuspendedsedimentconcentration,Cinpptbyweight,todistancefromthe wave-breaker-line,S fortwonozzleheightrangesaboveth eocean bottomatVentnor,N .J . Thenextscatterplot,Figure7 ,showstherelationshipofsuspendedsedimentconcentration,Cotheparameter,H/d,waveheightover waterdepth.otethatth eleftgraphinFigure7showstheresultsforthe Ventnordataandth eright-sidegraphshowsresultsforth eNagsHeaddata.igure8concludesthisphaseofth eresultswith anadditionalgraphrelatingsuspendedsedimentconcentration,C toth eparameter,H/d,waveheightoverwaterdepth,forsamplescollectedabove0.5feetan dlessthan1.0feetaboveth eocean bottom. Th elegendoftheleftsidegraphforthe Ventnordatadividesth edataintotw oclasses,oneclassforsamplescollectedseawardofthe wave-breaker-line,anotherclassforsamplescollectedshorewardofthe wave-breaker-line.otethatth eright-sidegraphforth eNagsHeaddatainFigure8appearstohaveagapinthedatascatterappearingjustaboutwherethepeakoccursinth edatascatterfortheVentnordata,leftgraphinthefigure.
TheresultspresentedinFigures5 -8maybeexplainedasfollows:stheshallowwaterwavesapproach breaking,theconcentrationofsuspendedsedimentincreasessharplyfrombarelynon-breaking wavestofullybreakingwaveswithshorewardadvancean dwithincreaseinH/d(waveheightoverwaterdepth). Scatterconfigurations(NoteFigures7and8 )indicatethatth esuspendedsedimentconcentration peaksnearth ewavebreakerindex(H/d=0.78)(4)an dthatconcentrationsdecreasegradually withtheshorewardadvanceofspillingtranslatory wavesandwithfurtherincreaseinH/d.
Thenexttw ofigurespresental ldatacollectedinthesefieldstudies..Thefirstofthese,Figure9 ,relatessuspendedsedimentconcentrationto(waveheightsquared).hesedatashowvery muchscatter. In notingth escatterinthisfigure,itmustberecognizedthattheplottedconcentrations werecollectedatarangeofelevationsaboveth eoceanbottom-Erom0.25to2.50feet. Scatterplotspresentedearlierhaveindicatedthatthiselevationvariablesignificantlyaffectsthetotalscatterinthegraphs.hescattertrendinth eto pgraphinFigure9appearstochangenoticeablynearan2Hf1.5andtrendtowardtheupperright.
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1076 COASTALENGINEERING 0.60.4
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LONGSHORETRANSPORT 1077
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LONGSHORE TRANSPORT 1079TTT
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1080 COASTALENGINEERING
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LONGSHORETRANSPORT08 1Inthenextall-datascatterplot,Figure10 ,Csplottedagainstw
theparameter,H / E _ ,waveheightoversamplingnozzleelevationaboveth eocean bottom.hetotalscatterintheseplots,especiallythatfortheVentnordataontheleft,issignificantlylessthaninth elastFigureofC
2versusH ;thereducedscatterinFigure10resultslargelyfromth einclusionofE_inthedenominatorofth eabscissa,whichaccountsforth eeffectofuvariablenozzleelevationaboveth ebottom. By overlayingthetwosectionsofthisfigure,itwasobservedthattheVentnordatahasasomewhatsteeperslopethantheNagsHeaddata. Thismay beexplained byth efactthatth emediandiameterofth eVentnorsand(0.12-0.15mm)issignificantlylessthanthatofth eNagsHeadsand(about0.20mm),sothatth eVentnorsandismoreuniformlymixed,andbeingsignificantlysmaller maybesustainedinsuspensionatrelatively higherelevationsbyagivenenergyorturbulenceinput.
Particlesizeeffectsinrelationto wave-inducedsuspendedsedimentar esummarizedinFigure11 . Thetw oscatterplotsinthisfigurerelateth emedianparticlesizean dthecoarser5 thpercentileofth esamplestowaterdepthan dnozzleheightabovebottomfortheNagsHeaddata. Thesescattertrendsshowaverygradualdecreaseinmedianparticlesizewithincreaseinwaterdepth,an dalsowithincreaseinE ,nozzleheightabovebottom. ScattertrendsfortheVentnordata wereverysimilarbutanactualpointsplotfortheVentnordatawasnotincludedduetospacelimitations. Instead,asthelegendin Figure11shows,avisualbestfitcurvefromth eactualVentnordataisdisplayednearthebottomofeachgraph.
Figure12isacompositeplotofsuspendedsedimentconcentration versuswaveheightsquared,asindicatedforsamplingelevation,E
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1082 COASTAL ENGINEERING
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1084 COASTALENGINEERING 1 1 1 1III 1 1 1 1 III 1 1 1 1 1 III 1 1 1 1II
-- t-
VentnorData, =.4 8ft., =5-10s e c , % 4 4N e g sHeodData, =.9 8ft., =5-15e c. CERC-LWT,H~2.5-3.5ft., =6sec. , 5 CERC-LWT,H~6-7ft.,T=3.75sec. D
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z . 1 E - A CERC-LWT,H~3-4.5ft.,T=1.33e c. + + -O CERC-SPT8,H~0.25-0.50t.,T*1.5-1.76sec . +- a CERC-72t.ank, 0.25-0.40ft.,T=18e c. + a) : -_ +*%+,+) + i
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1.0 H 2, t.2I'LABORATORY DATAi SPTB, =0.26-O.40ft., =.7 6sec . SPTB, = 0.28-0.47ft.,T=.50sec.
O SPTB, = 0.32~0.48ft.,T=.31e c. O 72ft.tonk, = 0.25-0.50ft,T=l.8sec.
EBSamplingElevationaboveBottom
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LONGSHORETRANSPORT08 5 conditionsareverydifferentfromthoseinth esurfzone.owever,muchdata,andempiricalandtheoreticaldevelopmentareavailablefrom unidirec-tionalflowstudieswhichwillprovideusefulconcepts,relationshipsandideastotestoutinsurfzonestudies.LongshoreTransportRateFromSuspendedSedimentData
Figure12 ,discussedinth etwoparagraphsaboveindicatedtherelation-shipbetweenrepresentativeconcentrationsofsuspendedsedimentan dtheirrespective waveheightsquared( a waveenergyparameter).furtheran dinterestinguseoftheCERCfieldan dlaboratorydataonsuspendedsedimentmaybe madebyapproximatinglongshoretransportratesforcomparison withthetransportratesindicatedbytheTR-4designcurveoflongshore waveenergyfluxversuslongshoretransportrate.(6)omputationsmay be madebyaformuladeveloped byGalvinan dincludedinhisabstractatth e12thConferenceonCoastalEngineering.(7)hisformulaisasfollows:2Q=DgcT($H, )in 9 , ,wheregisgravity,cissuspendedsedimentconcentrationinpptby volume,6isawavebreakerindexd,/H, ,takenas1.3,H ,iswavebreaker height,9 ,isth eanglebetweenawavebreakingcrestan dth eshoreline3an dDisacoefficientequalto11.68whichchangesft/secintounitsof100,000yd3/yr.
Seven valuesofthelongshoretransportrate havebeencomputed,usingGalvin'sformulaalong withtheircorrespondinglongshorecomponentsofwaveenergyatbreakingusingtheformula,Ea/wave=1/8P g H , ( 1-M~)sin9 ,co s9 ,IC '
LbInFigure13thesesevenratesan dtheircorrespondinglongshore waveenergiesar eshownasplottedpointsforcomparisonwithth eTR-4designcurveoflongshore waveenergyfluxversuslongshoretransportrate.
Wave breakeranglesusedinthecomputationswereobtainedfromanomographofd/Loversus0ndertheassumptionthatthedeepwateranglebetween wavecrestandshorelinecouldbeapproximated byanaveragevalueof30.avebreakerangles( 9 , )wereobservedinconjunctionwithth ecollectionofsuspendedsedimentsamplesatVentnor,N .J .aluesobservedrangedfrom3to10degreesforlo wheightswell waves(1-2ft)withwave periodof7secondsormore.BreakerangleswerenotobservedinthecollectionofsuspendedsedimentatNagsHead,N .C .arge wavetank valuesof9 .ar enecessarilyhypothetical,sincethisisatestfacility where wave breakerangle( 6 , )isactuallyzero.
Th eplottedpointsofcomputedlongshoretransportratesinFigure13comparereasonablywell withth esuggesteddesigncurve. ThedottedlineinthefigureparallelingtheTR-4designcurveextendsthecomparisontoincluderecentindications byInman( 8 )an dDas( 9 )thatthecurveshouldbechangedtoreflectrm svaluesofwaveheight.heTR-4( 6 )designcurve(solidline)isbasedonth esignificantwaveheight.heauthorrecognizesthatsignificantthough notunreasonableassumptionshavebeen madetoobtainthisplot.
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1086 COASTAL ENGINEERING = !MIII! 1llllll 1 I'M: m i n i Ililill 1 \k FieldDotaV e n t n o r ,N.J.,ag Head ,N . C .an d * _
- Miss ion o y,Calif. ~ ~ CERCargeWavean kData / - /// A -1 SPT0af o //////_ 'P/ _ ~ A '/ ~ 'A/- //// _ _ _ //V E E qu iv a l en tCurveus i ng // ^ u g g e s t e do rDesignse = rm s a lues \ '/ CERC,TR-4 _ _ V / \// ~ ~ = E 0-S-Numbero fWavese rDay) ~ = // (Sinbo sb KR -- // where E 0=DeepWaterWaveE nergy er - // Wav e, K R=RefractionCoefficient //= 'V * an d ngleetween reak ingWaveCres t = : an dheeach ~ ~ ~ // ~ / '///*~ s
I iIIIIII inn 1 Mlll 1 1 lllllll 1 ii o -3o -2tr1oO 1o 2E 0-Longshoren e r g ynMillions f t.Lbs.Pe rDayPe rf.f eachF I G U RE3.O N G S H O R ERANSPORTRO MUSPENDEDSEDIMENTATACOMPAREDOCERCTR-4
L O N G S H O R ERANSPORTCURVE SummaryndConclusionsThispaperhaspresentedasummaryofsuspendedsedimentdatafromtwoAtlanticCoastsiteswithimplicationsforitsuseincompilinglongshoretransportdesigncriteriawithinthecontextofthree main pointsasfollows:1 .iscussionofth eresultsfromthefieldcollectionsofsuspended
sedimentatVentnor,N .J .an dNagsHead,N .C . Theseresultsshowlargevariationinthesuspendedsedimentconcentration,bu tthatth econcentrationsdiddependonelevationabovebottom,waveheight,an dpositioninthesurfzone.
2 .omparisonofthesefieldresultswithearlierCERCfielddata( 1 )fromPacificBeach,California,and withCERClaboratory measurements( 2 )showedatrendwhensuspendedsedimentconcentration wasplottedagainstwaveheightsquared.hiscomparisonalsoincludedtw osetsofsuspendedsedimentcon-centration measurementsfrom unidirectionalflow( 5 )-oneinth eMissouriRiverandoneinalaboratoryflume,underth eassumptionthattoafirstapproximationth eflowdepthisanalogoustoth e wavebreakerheight.
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LONGSHORETRANSPORT08 73 .easonablecorrelationwasfoundbetweenlongshoretransportrates,
computedfromrepresentative valuesofsuspendedsedimentconcentrationan dwaveconditions,andtheTR-4designcurveofwaveenergyfluxvslongshoretransportrates.
Th edata an dresultspresentedanddiscussedappeartosupportthefollowingconclusions:
1 .ielddatasuggestthat3-minuteaveragesofsurfzoneconcentrationin wavesupto4feethigh,showsignificantvariationinconcentration withelevationaboveth ebottom. Th ehigherthelevelof waveactivitythelessconcentrationvarieswithelevationabovebottom,andhenceth eflatterthetrendinthedistributioncurve.
2 .catterconfigurationsalsosuggestthatfor wavesapproachingtheirbreakingdepth,theconcentrationofsuspendedsedimentrisessharplyjustbeforethe wavebreaks,peakingata waveheight-to-waterdepthratioofabout0.78(theoreticalbreakerindex). Concentrationthendropsoff moreslowlyshorewardofth einitialwavebreaking;
3 .oncentrationsmeasuredinthefieldcomparerealisticallywiththoseobtainedinCERClargean dsmallwavetanktests;4 .ediansizeofthesuspendedsedimentsamplesdecreasesgraduallywithincreaseinwaterdepthan dwithincreaseinsamplingelevationaboveth eocean
bottom. Thereissomeimplicationthataflatterdistributionofsandsize withnozzleheight,asfoundinthesmallersizeVentnorsand,maybeindicativeofhigherconcentrationsforsmallermoreuniformly mixedsands;
5 .nempiricalcheckonlongshoretransportratescomputedfromfieldandlaboratorydataonsuspendedsedimentcomparereasonably well withth eTR-4suggesteddesigncurve.
ACKNOWLEDGEMENTThispaper waswritten whiletheauthor wasamemberofth eCoastalProcessesBranch,Research Division. C .J .Galvin,Jr.,Chief,CoastalProcessesBranchreviewedthispaper.Datapresentedinthispaper,LongshoreTransportofSuspendedSediment,
unlessotherwisenoted,wereobtainedfromresearchconductedbyth eUnitedStatesArmyCoastalEngineeringResearchCenterunderth eCivilWorksresearchanddevelopmentprogramofth e UnitedStatesArmyCorpsofEngineers.ermissionofth eChiefofEngineerstopublishthisinformationisappreciated.hefindingsofthispaperarenottobeconstruedasofficialDepartmentofth e Armypositionunlesssodesignatedbyotherauthorizeddocuments.
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1088OASTALENGINEERING REFERENCES
1 .atts,G .M. ,"DevelopmentandFieldofaSamplerforSuspendedSedimentinWave Action,"BeachErosionBoardTechnical MemorandumNo.34,March1 95 3.
2 .airchild,J .C,"SuspendedSedimentSamplinginLaboratoryWaveAction,"Beach ErosionBoardTechnical MemorandumNo.115,June1 95 9.3 .airchild,J .C.,"A Tractor-MountedSuspendedSandSampler,"Coastal
EngineeringResearchCenterR.4-66,ReprintedfromShoreandBeach,June1966.
4 .airchild,J .C,"SuspendedSedimentConcentrationintheSurfZone,"Transactions Abstract(EOS),AmericanGeophysicalUnion,April1971.
5 .SedimentTransportationMechanics: SuspensionofSediment"ProgressReport,Task CommitteeonPreparationofSedimentation Manual,HY5 ,ASCE,Sept1 96 3.
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