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    CHAPTER38THEDESIGNF SLOTTEDVERT ICALSCREENREAKWATER

    J Gardner*, I Hownend*and Fleming**INTRODUCTIONThispaperdescribesChewavestudies,modeltestingandstructuraldesignofa250metrelongslottedverticalscreenbreakwaterforamarinaatPlymouth,England.Themarinai sbeingdevelopedbyPlymouthCityCounciltoprovideapurposebuiltfacilityforhostingthemajorlongdistanceracesthatstartorfinishatPlymouth,inadditiontotheusualmarinafacilitiesforprivateboatowners.AfterexaminingthreealternativelocationsPlymouthCouncilselectedasiteinthenorth-eastcornerofPlymouthSoundasshowninFigure1 .Thesiteisconfinedontwosidesbyexistingshippingchannelsandbyarockyshoreonthelandside.Exposuretowaveattacki slimitedtothesouthwestsector.BecausetheexistingseabedatthemarinesitewastheresponsibilityoftheDuchyofCornwall,anActofParliamentwasrequiredbeforePlymouthCouncilcouldcommenceconstruction.TheActcontainsclausesregulatingtheuseofthemarinaandthepermissablechangestothewaveconditionsintheadjacentshippingchannels.DESIGNCRITERIAThebasicmaritimecriteriagoverningthedesignare:-(i) WaveheightsinthemarinashouldnotexceedHs=0.3metresfor

    morethan200hoursperyear.(ii) Withtheexceptionofa10metrecarriagewayontheSWfaceofthebreakwaterwaveheightsintheadjacentshippingchannels

    shouldnotbeincreased,asaconsequenceofthebreakwater,bymorethan50 abovetheconditionsexistingbeforeconstruct ion.

    (iii)Thebreakwatershouldbedesignedtowithstandthe100yearreturnperiodstormoccurringatanytidelevel.

    * SeniorEngineer,SirWilliamHalcrow PartnersLtd,BurderopPark,UK

    **Director,SirWilliamHalcrow PartnersLtd,BurderopPark,UK

    1 8 8 1

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    1882 COASTALENGINEERING-1986

    oa. o

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    SLOTTEDVERTIC LSCREENBRE KW TER8 8 3Thepreparationofconstructiondrawingsandtenderdocumenswasnotstarteduntilparliamentaryapprovalhadbeengiven.ThiswasobtainedinApril1985andPlymouthCouncildecidedthatthemarinashouldbereadyforhostingtheTwoHandedTransAtlanticRaceinJune1986.Toachievethisprogrammedetaileddesign,testingandtenderdocumentshadtobepreparedintheperiodMaytomid-Augustsothattenderscouldbereceivedbymid-SeptembertoallowconstructiontocommenceinNovember1985.EXISTINGWAVECONDITIONSDeepwaterswellfromtheEnglishChannelca nonlyreachthemarinaareafromthesouth-west.Themostseverewaveconditionswillthereforecomprisecombinedswellwavesandlocallygeneratedwindwavesarrivingfromthisdirection.DatafordeepwaterwaveconditionswereavailablefromtheInstituteofOceanographicSciences(IOS)intheform ofareportondatacollectedbyaWaveriderbuoylocatedneartheEddystoneLighthouse.Thedeepwaterwaveclimatewastransferredtothemarinasiteintwostages.(i) waverefractionbacktrackingandspectrumtransferfromdeep

    watertothePlymouthSoundbreakwater.(ii)diffractionoftheresultingwaveenergyspectrumfromthe

    PlymouthSoundbreakwatertothemarinasite.WaveheightsandperiodsforlocallygeneratedwaveswerecalculatedusingtheCarterEquationsderivedfromtheJonswapenergyspectrumformulation.WindspeedscalculatedfromdatarecordedatFortStanford,Plymouthandtheequationsusedforafetchlimitedgrowingseawere:

    Hs=0.0163X-5UTz=0.439X- U-4whereXistheeffectivefetchinkilometresandUisthewindspeedinmetrespersecond.Theresultingwaveheightsatthemarinasitewereasfollows:ReturnPeriod Hs m) Hs m) Hs m)deepwater) local) combined)

    1.5 0.8 1.71.4 0.75 1.61.2 0.7 1.41.1 0.6 1.3

    1005010

    ExaminationoftheAdmiraltyChartsforPlymouthshowsthattheapproachdirectionfortheswellwavesi slimitedbyPenlessPointtothewestandthePlymouthSoundandMountBattenBreakwaterstotheeast.Approachdirectionsforthecriticalwaveconditionarethereforelimitedtothesectorbetween210and220.

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    1884 COASTALENGINEERING-1986

    NEWBREAKWATER L A Y O U T

    r

    Figure2 Outline la nfornewmarina

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    SLOTTEDVERTIC LSCREEN RE KW TER8 8 5UndercriticalwaveconditionsthewaveclimatetothewestandsouthofthemarinawillbeinfluencedbyshelteringanddiffractioneffectscausedbythecoastlineadjacenttoFisher'sNose(seeFigure2) .

    Thetreatmentofwavediffractionwa sbasedontheSommerfeldsolutionaspresentedbyWiegel(1964).AHalcrowcomputermodelwa susedtoevaluatewaveheightfactorsatthenodesofasquaregridacrosstheareaofstudy.Waveheightfactorsbeingdefinedas:waveheightfactor=aveheighta tnode

    heightofincidentwaveThemodelcouldbeusedtoevaluatewaveconditionsinthevicinityofsystemsofoneortwoimpermeablebreakwaters.Thebreakwaterscouldalsoassumeanydegreeofreflectionofincidentwaveenergy.TheshelteringeffectofFisher'snosewa srepresentedbyabreakwateralignednorth/south.TheresultingwaveheightfactorsaregiveninFigure3wherethefactorsareexpressedrelativetotheincidentwaveheightoffFisher'sNose.WAVECONDITIONSAFTERCONSTRUCTIONOFTHEMARINABREAKWATERThewavediffractionmodelwasrunforeachsegmentofthebreakwaterandtheresultsweresuperimposedtoprovideacompositediffractionsolution.Thusarelativelysimpleprogramprovidedaquickandrealisticanswer.Th eresultsforafullyreflectingbreakwaterareshowninFigure4 .ComparisonofFigure3withFigure4givesthepercentagechangeinwaveheightfactorsresultingfromconstructionofthebreakwater.Theseinitialresultsshowedthatwaveheightswouldincreasetoanunacceptablelevelinthetwoadjacentshippingchannels.Thewavediffractionmodelwa sre-runusingbreakwaterreflectioncoefficientslessthanunityandi twa sfoundthatacceptablewaveconditionscouldbeachievedwiththefollowingreflectioncoefficients:

    SectionA-KR

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    1886 COASTALENGINEERING-1986

    FishersNose

    Figure: Wave eightfactorsorexistingsite////

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    SLOTTEDVERTIC LSCREENBRE KW TER8 8 7Howeverthissitehasthreemajorconstraints:theseabedconsistsofsoftsiltupto30metresthickoverlyingbedrock;theareaavailableforthemarinaissmall;thespringtidalrangeis5metres. Averticalscreensupportedbypilesdriventobedrockwasconsideredtobethemostpracticalandeconomicsolutionwithintheseconstraints.Followingtheinitialnumericaldiffractionandreflectionanalysisvariousconfigurationsofperforatedscreenswereexamined.Examinationofexistingliterature(refs1 ,3 ,4and5 )indicatedthatadoublescreenwouldberequiredforSectionBwhereasasinglescreenwouldbesufficientforSectionA.Theextentofthedoublescreenwasabalancebetweenwavereflection,wavetransmissionintothemarinaandconstructioncost.Althoughexistingcasehistoriesweresufficeinttodemonstratethatasolutioncouldbefoundtosuitthebasicdesigncriteriatherewa sinsufficientinformationtopermitdetaileddesigntobecarriedout.Thefinalconfigurationofthescreenswasthereforebasedontheresultsofasetofsimpleflumetests.MODELTESTINGTomeetthetightdesignprogramme,modeltestingcommencedatthestartofthedetaileddesignphase.Thisthenenabledthefinalstructuraldesigntotakeaccountofthetestresults.ModeltestingwascarriedoutatHydraulicsResearch,Wallingfordina45metrelongwindwaveflume.Thepurposeofthetestswastomeasurethereflectionandtransmissioncoefficients(KgandKf )forsingleanddoublescreenswhilstchangingthefollowingvariablesidentifiedduringtheconceptualdesignstage:(i)aveperiodsbetween3and1 2seconds(ii)creenporosityvaryingbetween8 and35(iii)pacebetweenscreensvaryingbetween5metresand15metres(iv)lotshorizontalorvertical(v)hegapbetweenthebottomscreenandtheseabed(vi)heeffectofchangingtheplankthicknessfrom300mmto

    150(vii)creenstiltedorverticalThemodelscalewas1:15andrandom waveswereused.Wavemeasurementsweremadeusingthreewaveprobesandincidentandreflectedspectracalculatedusingananalysisprogram.Themethoddeterminesthereflectionandtransmissioncoefficientsforeachfrequencyconsideredintheincidentwavespectrum.Asthemodeltestsprogressedsomechangesweremadetothetestingsequencetakingaccountofthepreviousresultsandtherequirementsofthestructuraldesign,whichwa sproceedingsimultaneously,therebyavoidingtestsunlikelytoyieldausefulsolution.Inall54testswerecarriedoutandtheresultsaregivenbyHydraulicsResearchLaboratory(1986).TheprincipalresultsaresummarisedinFigures5 ,6and7 .

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    COASTALENGINEERING-1986

    Optimum Solution

    WaveTransmission

    WaveReflection

    30 35Porosity

    Figure5- ReflectioncoefficientKR)SransmissioncoefficientKT)Porosityorsingleverticalcreen1-0

    16 orosity

    5 6 7 8 9 10 12 3 14 15 16 17Distancebetweenscreensm )

    Figure6- Reflectioncoefficient Distanceetweencreens

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    SLOTTEDVERTICALSCREENBREAKWATER 1889

    987

    6

    0-i

    OptimumSolution

    43

    1r1 T15 20 305

    Porosity35

    Figure Reflectioncoefficient Frontcreendetailsorscreenpacingofm

    8007 i ll

    K2S] HBSKHffBB}

    MH W S5- 5

    N H W N 5 6 l

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    1890 COASTALENGINEERING-1986

    Forthesinglescreen:(i) aporosityof8 gaveacceptablevaluesofKgandKf(see

    Figure5 )(ii) theperformanceofhorizontalslotswassimilartothatof

    vertical.Horizontalslotswerethereforeadoptedbecausethisorientationsuitedtheproposedconstructionmethod

    (iii)a metregapbeneaththescreengaveunacceptablewavetransmissionresults

    (iv) thehydraulicperformanceof150mmplankswassimilartothatof300mmplanks.

    Forthedoublescreen:(i) adoublescreenwithafrontscreenwith16 porosityspaced8

    metresfromasolidbackscreengavesuitablereflectioncoefficients(seeFigures6and7 )

    (ii) theperformanceofhorizontalslotswassimilartothatofvertical.Horizontalslotswerethereforeadoptedbecausethisorientationsuitedtheproposedconstructionmethod

    (iii)a metregap beneaththescreensgaveunacceptablewavetransmissionresults

    (iv) thehydraulicperformanceof150mmplankswassimilartothatof300mmplanks

    (v) tiltingthescreensdidnotshowanyimprovementoververticalscreens.

    FINALWAVESTUDIESUSINGMODELTESTRESULTSThenumericaldiffractionmodelpreviouslydiscussedwasre-runusingtheresultsfromtheflumetestasfollows:

    avePeriod(sees) |BreakwaterSection |g K^ g Kf Kg K^ii r

    |.6.3.6.4 .6.4(single,8 porosity)

    .4.0.2.0 .4.0(double,16 porosity

    mspace)I.9.0.9.0 .9.0(single,solid)

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    SLOTTED VERTICAL SCREENBRE KW TER8 9 1Theresultsshowedthatwaveheightsoutsidethebreakwaterwerewithintherequiredlimitsexceptforonesmallareatothesouthofthebreakwater.I tshouldbenotedthatthediffraction-reflection-transmissionanalysisdoesnottakeaccountofwave-waveinteraction,wavebreakingandthelateralinternaldiffractionofwaves.Asthesenon-lineareffectswouldallleadtoareductioninresultantwaveheightsi twasdecidedthatthissmallareadidnotjustifyanychangesintheproposedbreakwater.TheresultsalsoshowedthattransmissionintothemajorityofthemarinahadbeenretainedbelowthetargetvalueofHs=0.3metres.Asmallareainthesouth-westcornershowinghighercontourswouldbedeletedbyanadditionallengthofdoublewavewall.STRUCTURALDESIGNThetypicalstructuraldetailsforthedoublescreenareshowninFigure8.Thesinglescreenissimilarexceptthattherearscreenandhalfofthedeckisdeleted. TypicalisometricviewsofbothtypesofscreenareillustratedinFigure9 . Thewaveloadsonthescreenaretransmittedtothebedrockbythepairsofrakingpiles.Themaximumcompressionandtensionloadsareapproximately2500kNand1800kNrespectively.Thehighcompressionloadsaretakenbyendbearingontherockandforthisreasonthepiletoesarepluggedwithconcrete.Thetensionloadsaretakenbydeadanchorsdrilledbeyondthepiletoesandgroutedintobedrock.Theverticalpilei sacompositepilewiththeuppersectioncomprisinganexternalsleevegroutedontotheinnerpileaftertheinnerpilehasbeendriventobedrock.Theexternalpileisaprefabricatedsectionwithflangesforwavescreenplankfixing.Theuseofthecompositepileallowedtheinnerpiletobedesignedfortheforcesbelowthebedlevel,withthegroutedsleeveabovebedlevelprovidingtheadditionalstiffnesstocarrythehighmomentsinducedbythewavescreen.Thisarrangementalsohelpedtoeliminatealignmentproblemswiththeplankfixings.Thescreenplankingmaterialisgreenhearttimberandthedecki sconcrete.Handrailsandlightsareprovidedonthedecktoprovideapublicpromenadeandviewingarea.Thecostofthebreakwater,excludingpontoonsandothermarinaitems,i sapproximately1.8million,ofwhichapproximately65 i sthecostofthetubularsteelpiles.TheContractorfortheprojectwasDeanandDyball(Western)LtdfromExeter.Figure10showstheprojectnearingcompletion.

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    1892 COASTALENGINEERING-1986

    Marina Doublescreenprovides-1aximumprotection Singlecreenconstruction

    Figure Typicalviewsofsingleanddoublecreenbreakwater

    Figure0: MarinaNearingCompletion

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    SLOTTEDVERTIC LSCREENBRE KW TER8 9 3CONCLUSIONBasedonvisualinformationduringthe4monthperiodsincethebreakwaterwa scompletedwavereflectionintotheshippingchannelsappearstobewellwithinthepermissiblelevels.Withouttheuseofaslottedverticalscreenthemarinaprojectwouldnothavebeenallowedtoproceed,butusingtherelativelyinexpensivemethodsofanalysisandtestingdescribedinthispaperapracticalandaestheticallyacceptablesolutionhasbeenfound.ACKNOWLEDGEMENTTheauthorsareindeptedtotheCityEngineer,Plymouthforhispermissiontopublishthispaper.

    REFERENCES1 .utchinsonPS ,RaudkiviAJ ,Casehistoryofaspacedpile

    breakwateratHalfMoonBayMarina,Auckland,NewZealand,ProcCoastalEngineeringConf,ASCE,Houston,Sept1984.

    2 .ydraulicsResearch,Wallingford,1985,Plymouthmarinaeventsbase-perforamnceofwavescreens,ReportNoEX1327.

    3 .akunoS ,1983,Reflectionandtransmissionofwavesthroughverticalslittypestructures,ProcCoastalStructures83,ASCE,Arlington,March1983.

    4.akunoS ,1984,Water-wavereflectionandtransmissionbyaninfitearrayofverticalflatplates. Proc32ndJapanNationalCongressforAppliedMechanics,UniversityofTokyoPress.

    5 .ekckmannJ ,BighamGN ,DixonR0,1983,Reflectioncharacteristicsofawave-absorbingpier,ProcCoastalStructures83,ASCE,Arlington,March1983.

    6.iegelRL ,1964-OceanographicalEngineering,rentice-HallInc.