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7/29/2019 Part 1 Design Requirements
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Part1DesignRequirements:AComparisonofVapourCloudExplosionModels
andtheImportanceofProperlyAssessingPotentialIncidentImpact
Part2AnalysisoftheBuncefieldOilDepotExplosion:ExplosionModelingand
ProcessSafetyPerspective
NoahL.Ryder,P.E.* ,ChristopherF.Schemel*,SamMannan#
Abstract
Thispaperdiscussesthevariousexplosionmodelsthatarefrequentlyusedinsupportoffacilitylayoutandriskassessmentsandexaminestheresultsthateachmodeltypewillproduceforcomparativepurposes.Itisshownthatwhileempiricalbasedmodels,suchastheTNTequivalencyandTNOMulti-EnergyMethodmaybesimpleinconcept,thatproperapplicationofthemodelcanbecomplex.Inadditiontheuseofthesemodelsprovideresultsthatresultinatotallossofspatialspecificity.Mostempiricalmodelsassumeauniformhemispherethatchangessolelyinaradial
fashion,thespecificsofaplantlayoutandtheimpactthatlocalizedcongestionmayplayinthedevelopmentofaflammablecloudanditsignitioncanbeextremelyimportantintheproperdesignofafacilityorinconductinganappropriatehazardreview.Thedifficultyinassigningappropriatelevelsofcongestionandindeterminingwhetherappropriatespacingbetweenequipmentexistswhenapplyingthemodelcanresultinsignificantunderoroverpredictionofthepotentialimpact.Theseconceptuallysimpleconceptsareoftenquitedifficulttoimplementandhighlightsomeofthecomplexitiesofapplyingempiricalmodelsbroadly.Abriefoverviewonmodelingisprovidedinordertohighlightthepurposeofmodelingandthenecessityofensuringthattheappropriatemodelhasbeenconstructedorusedinassessingthesituation.Recentevents,Buncefield,aswellaspreviousevents,inwhichthesetoolswereapplied,clearlyshowthatincidentsinwhichalargevapourcloudreleasefollowedbyadelayedignitionareforeseeable.
Evenifthespecificchainofeventsisdeemedimprobable,theendresult,namelyavapourcloudreleaseandsubsequentignition,issufficientlypredictablethatanappropriateapplicationofthecommontoolsoftheindustryshouldbeabletoadequatelycapturetheincidentimpact.Areviewofeachofthemodelsispresentedalongwiththeassumptionsthataccompanythemodel.SpecificexamplesfromtheRIGOStestseriesareexaminedtocomparetheMEM,TNT,andtheCFDtoolFLACSinordertoillustratethedifferencesthateachmodelwillproducewhenattemptingtoassessthesamesituation.Thedifferencesintheseresultsisthendiscussedfromthecontextthatachangeinrequirementsspecificationandscenariodevelopmentcanhaveamajorimpactwhenaforeseeableincidentoccurs,buttheinitialtoolsusedtoassessthescenariodontcapturethenecessarylevelofdetailedinformationorthetoolsareusedinappropriately.
Introduction
*Packer Engineering, Inc.
Noah L. Ryder is the corresponding author and may be reached at (301)775-2967 or via email at [email protected]
# Mary Kay OConnor Process Safety Center
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Thespacingofpetrochemicalprocessunitsandbuildingshasbeenacriticalsafetyandoperationsissuesincelargescalerefiningoperationsbegan.Numerousstandardsandguidelinesexistwhichattempttoprovideclarityontheproceduresforassessingfacilitysitingandlayout,howevermanyoftheseguidelinesareinconsistentwitheachotherinoneormoreareasandamajorityoftheguidelines
areprescriptiveinnaturebearinglittlerelevancetorealworldperformance.Overthepast40yearsalargenumberofexplosion/fireincidentshaveoccurredinoilandpetrochemicalfacilities,whichhaveimpactedotheronsiteandoff-siteareas.Theseincidentshavecausedthevariousguidelinesandstandardstobereevaluatedandforchangestobemade,howeverthesechangesarereactionaryinnatureandareoftennotbasedinscience.Thedrivingforcebehindspacingandothersafetycriteriaisthepotentialconsequenceofanincident,todatetheprimarytoolsthathavebeenusedtoassistinmakingthesedeterminationsareempiricallyderivedtoolsthathavebeenshowntobedifficulttoapplyproperlyorimproperfortheapplication.Thiscreatesapotentialfortheconsequencesofaneventtobeseverely
underpredictedandfordamagetobedonefarbeyondthatinitiallyanticipated.OverviewofModeling
Brieflywewilldescribethefundamentalsofamodel,asitwillbeusefultosummarizetheprinciplesofmodelinginageneralfashiontounderstandthebasicapproachesthatmaybetaken.Amodelisapurposefulrepresentationofthephysicalworld,withmanytypesofmodelingexisting:visualmodels(pictures),verbalmodels(speech,articles,andbooks),three-dimensionalmodels(sculptures),andmathematicalmodels.Thepracticeofengineeringoftenrequirestheuseofmodelsinordertogeneratean
engineeringsolutiontoadefinedproblem.Onceconstructed,amodelisverifiedandvalidatedbyaseriesoftestsandexperimentstoindicatehowwellthemodelrecreatesthephenomenamodeled.Thedifferencebetweenverificationandvalidationishoweversignificantandisoftenoverlooked.ASTME1355,definesVerificationas,Theprocessofdeterminingthattheimplementationofacalculationmethodaccuratelyrepresentsthedeveloper'sconceptualdescriptionofthecalculationmethodandthesolutiontothecalculationmethodanditdefinesValidationas,Theprocessofdeterminingthedegreetowhichacalculationmethodisanaccuraterepresentationoftherealworldfromtheperspectiveoftheintendedusesofthecalculationmethod.
Inshorttheverificationprocessensuresthatthemodelsmathematicformulationsarecorrectlyyieldingwhatisintended(i.e.thealgorithmusedtodeterminetheproductof5and4yields20)whilethevalidationprocessensuresthattheresultsofthemodelprovideafairrepresentationoftherealworld.Fromanengineeringperspective,theintentionofamodelistoproduceananalysistoolthatadequatelyapproximatesrealityforthespecificsituationforwhichthemodelwascreated.
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Mathematicalmodeling,whichformsthebasisformostengineeringapplications,beginswithasituation/phenomenathatexistsintherealworldandaprecisedefinitionoftheproblembyreducingextraneousinformationandsimplifyingtheproblem,whilestillenablingthenecessaryinformationtobecaptured,Figure1.Thekeyinthisprocessisthatavalidatedandverifiedmodelmustbeusedinthe
appropriatemanner;similartoanytypeoftoolifusedinappropriatelytheresultsorapplicationoftheresultswillbeincorrect.
Figure1Firstorderviewofmathematicalmodelingi
Forthepurposeoffacilitysitingandlayout,modelsareusedtoevaluatethedispersionofflammableandtoxicgasses,tomodelfiresandtheimpacttostructuresandpersonnel,andtomodelexplosionseverityanditsimpactonstructuresandpersonnel.Itisthislastissuewithwhichwearemostconcerned.Historyhasshownusthatexplosionscanhavedevastatingimpactsbothintermsofemployeeandpublicsafetyandintermsofcontinuityofbusinessoperations.Ofthelargestonshoreindustriallosses(>$150,000,000)asof200283%werearesultofexplosionsandVCEs.iiAftereachincidentoccurreddetailedanalyseswereperformedtotryanddeterminewhatcausedtheincidentandwhatcanbedonetopreventafuturesimilarincident,oftenthisincludedgoingbackandrevisingguidelinesandstandards.
WhatModelsAreUsedFor
Thepurposeofamodelistoobtaindatathatcanbeusedinausefulfashion,thusforexplosionsmostoftenthedatathatisdesiredis:whatthepressureprofilewilllooklike(i.e.whatisthedamagethatmightbeexpectedatvariouslocations);andwhatthenecessaryspacingbetweenprocessunitsorstructuresshouldbetominimizeimpact.Inordertoassesstheimpactofavapourcloudexplosionthegaseousfuelmustbeidentifiedforreactivity,energycontent,theconcentrationanddistributionofthecloudmustbeknown,andtheareasofcongestionandconfinementmustbeidentified.
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ForsimplifiedanalysesmuchoftheaboveinformationisassumedwhileforotherssuchasCFDamoredetailedprofileofthevapourcloudanditsinteractionswiththecongestion/confinementcanberesolved.
Regardlessofthemodelusedthedesiredoutcomeistoobtainpressurecontoursasafunctionofdistancefromthepointofignition.Eachmodelattemptstocapturethisinformationeitherfromcorrelationstoexperimentaldataorbysimulatingthephysicalprocessesofanexplosion.
Models
Explosionmodelsmustbysomemethodaccountforthesizeofthecloud,theenergyofthecloud,andtheefficiencyofcombustionorthecongestionoftheareaofinterest.Acloudwilldisperseandtheempiricalmodelsassumethatthecloudisahomogeneous,stoichiometriccloudthatisdispersedsymmetricallyinaradialfashion.Clearlythisisnotrealisticineventhemostidealizedcaseandthusthe
startingpointformostanalysesthatutilizetheseempiricaltoolsisgoingtobeflawedfromtheoutset.TNTEquivalencyMethod
TheTNTequivalencymethodologyoriginatesfromearlymilitarytestingandisfrequentlyusedbecausethereisextensiveblastdamagedataavailablefromarangeofsources.ThemethodologyassumesthatavapourcloudexplosioncanbeequatedtoanequivalentquantityofTNTusingayield(efficiency)factor.OnceanequivalentamountofTNThasbeenestimatedthecharacteristicsoftheexplosionandexpectedlevelofdamagecanbeestimated.iii
Thebasicmethodologyrequiresthattheweightofthefuelcontainedwithinthevapourcloudbeknownandthatanappropriateyieldfactorisassigned.Thisvolumeoffuelisthenassignedanenergyvaluebasedonthefuelheatofcombustionofthefuelandtheyieldfactor,theequationisbelow:
WTNT =eWfQf
QTNT
whereeistheyield,Wfistheweightofthefuelinthecloud,Qfistheheatofcombustionofthefuel,andQTNTistheheatofcombustionofTNT.Thisisthenusedalongwithaformofthecuberootscalinglawtodeterminethedistanceatwhichtheblastwavepredictsthepeaksideonpressure.
R = Z WTNT( )1
3 whereRisthedistancetopeakoverpressure,Zisthescaleddistance(takenfromFigure2,andWTNTistheequivalentweightofTNT.
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Figure2Peakside-onoverpressurevs.Scaleddistance(Baker,et.al1996)
TheTNTmethoddoesnottakeintoaccountthevaporcloudsizeortheobstaclesandcongestionintheregionofthevaporcloud,andthusiswidelyusedbecauseofitsrelativesimplicityandthevastamountofdatathatexistsfromexperiments(compiledintoFigure2).However,theTNTmethodologyhasbeenshowninnumerousstudiesiv,v,vitohavesignificantlimitationswhenappliedtoVCEsnamely:
ATNTblastwaveisofashorterdurationandproducesahigheroverpressurethananequivalentenergyVCEexplosion
TheTNTblastwaveresultsinadifferentimpactonstructuresthanthatofaVCE
AVCEhasalongerpositivephasedurationwhichinturnresultsinalargerimpulse
Degreeofmixing,ignitionstrength,confinement,congestion,andturbulencearenotconsidered
ThewiderangeofTNTequivalenciesthatarefoundwhenreviewingarangeofVCEsoffuelswithsimilarheatsofcombustion.vii,viii,ix,x
TheoverallconclusionregardingtheTNTmethodologyisthatforcertainfirst-orderapproximationsregardingbuildingvulnerabilityitmaybeacceptable,howeverfortheinterpretationofaVCEitisinappropriate.Multi-energymethodThemulti-energymethodassumesthatonlythevolumeofgasthatiswithinaconfinedorobstructedareacontributestotheoverpressuregeneratedinanexplosion.xiThefuelthatisburnedinunconfinedregionsistreatedasafireballwithnoassociatedoverpressure.Itisassumedthattheflameburnsinahemisphericalshapefromthepointofignitionandthatthereisaconstantflamespeed.Themixturewithintheconfinedareaisassumedtobehomogeneousand
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stoichiometricandthereisnomechanismfordifferentiatingbetweenfuelstypes.xiiTheunderlyingassumptionisthatvaporcloudsarenon-homogenousmixturesandthatintheabsenceofconfinementadetonationcannotsupportitself.xiiiThemethodologyisentirelydependentontheassumedlevelof
congestion/confinementwithinaparticularregionorsetofregions.Themethodreliesonsummingorseparatingcongestionzonesinordertodeterminewhetherignitionwouldresultinasingleormultipleblasts.Theoverpressureisthendeterminedasafunctionofthecombustionenergyandthescaleddistancefromignitiontoatarget.Theblaststrengthisassignedavaluefrom1-10.Theequationstodeterminetheoverpressureareasfollows:
R = R PO/ E( )
13, P
S= P
S/ P
O
whereR istheenergyscaleddistance,Risthedistancefromthecenterofthe
assumedhemisphere,Poistheambientpressure,Eistheavailableenergy,PS isthe
dimensionlesspeakoverpressure,andPSisthepeakside-onoverpressure.
Figure3Dimensionlessoverpressurevs.EnergyScaledDistance(vandenBerg,1989)
TheBaker-Strehlowmethodologyusesessentiallythesamemethod,howeverinsteadofspecifyinganexplosionstrengththismethodrequirestheusertoassumeaflamespeed,andthecurvesarerepresentedasafunctionoftheflamespeed.Thereremainmanyquestionsastowhenanareacontributestothepressureandwhencongestionzonesshouldbelumpedtogetherintoasinglelargerarea.Inparticularthesafeminimumclearancebetweenzonesisatopicofgreatinterestand
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hasyettobeclearlydefined.TheMEMmethodologyhassomemajorobstaclestoitsuse:
Themodeldoesnotaccountforfuelreactivity Themodelassumesahomogeneous,hemisphericalcloud,withspherically
symmetricalisopleths Themodeldoesnottakeintoaccounttheobstaclesthatmayaffectthepressurecontours Determiningtheminimumseparationdistanceisnon-trivial Determiningtheinitialblaststrengthisnon-trivial
CFD
Acomputationalfluiddynamicsmodelsimulatesthephysicsinthousandsormillionsofcells.CFDmodelsthebasicconservationequationsusingtheNavier-Stokesequationsgoverningfluidflow.Submodelsthensimulateturbulenceandcombustion.MostmodelsuseaPorosityDistributedResistance(PDR)tomodelsmall-scaleobjects(suchasgratingonanoffshoreplatform).Mostmodelscan
simulatethedispersionofagassubsequentlyafterthedispersionhasbeenmodeleddirectly,theexplosionmaybesimulated.Thesimulationofthegasdispersionwillmodelthegasflowthroughthecomputationaldomaininandaroundthestructures,vegetation,etc.thatexistaswellastakingintoaccountanyenvironmentalfactors.Thisthenproducesacloudthatisvariedinconcentration,isnon-symmetric,andhasapreexistinglevelofinducedturbulence.
Akeyaspectofexplosionsistheextentandconcentrationofthevapourcloud,thusaccuratedispersionmodelingcanplayasignificantrole.AswasshownintheBPTexasCityincidentreport1,usingCFDtomodelthedispersionandaccountingforwind,obstacles,andthetwo-phaseflowgeneratedaflammablecloudinthesame
areaswheredamagewasobserved,whiletheempiricalmodelsdidnotaccuratelycapturetheextentofthevapourcloud.Thusinordertoaccuratelymodelanexplosionthemodelmustbeabletosimulatethereleaseandflowofgastakingintoaccounttheobstacles,structures,andtheambientweatherconditions.Afterthecloudhasdispersedanignitionsourceisintroduced.Withcfdthelocationandenergyoftheignitionsourcecanbemodeledtoseetheimpactthatvaryingignitionconditionsmayhaveonthedevelopmentofthevapourcloudexplosion.Theturbulenceismodeledusingak-turbulencemodelwhilethecombustion
chemistryismodeledusingaflameandburningvelocitymodel.Therehavebeennumerousarticlesandbooksauthoredontheimplementationofthesemodelsandit
issuggestedtorefertotheseifadditionalinformationisrequired.xivCFDmodelshavelimitationsinthatthey:
Requiresignificantlymoreinformationregardingthegeometry1Appendix 17 of the BP Texas City Fatal Accident Report details the cfd dispersion modeling and provides a comparison of the areasof the plant that were damaged with the extent of the vapour cloud.
http://www.bp.com/liveassets/bp_internet/us/bp_us_english/STAGING/local_assets/downloads/t/final_appendix_17.pdf
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Mayrequiresubstantiallymoreresourcestoutilize Mayrelyonsub-gridmodelstomodelphysicalphenomenathatcantbe
resolvedatthemodelscale
RequirementsSpecification/ScenarioDevelopment
Eachcorporationorplanthasitsownlevelofrisktolerancethatisgeneratedbasedontheplantlocation,proximitytootherprocessunits,off-sitepersonnelandstructures,regulations,etc.Oftenthisrisktolerancemaynotbeformallycodifiedinthecorporatestructure,howeverthisisthedeterminingfactorinspecifyingthedesignofaprocessunitandsitespacing.Nosingleprescriptiveguidelineisappropriateforallapplications,insteadananalysisneedstobeperformedtodeterminewhatthepotentialconsequencesmaybeasaresultofanincidentandwhethertheoutcomeistolerableornot.Whatneedstobedoneistoassesseachsitebasedonitsownsite-specificconditionsandinordertodothisthetoolsutilizedmustbeappropriateandallow
fortheproposedscenariostobemodeledcorrectly.CCPSGuidelinesforEvaluatingProcessPlantBuildingsforExternalExplosionsandFiresstatesmanyofthesebuildingdesignandsitingcriteriaarebaseduponbroadplantdesignguidelinesand
notuponanevaluationofspecificmaterials,releaseconditions,orplantgeography.Whileeffectiveinmanyapplications,thisapproachcanleadtodesignsthatareoverly
conservativeinsomeinstancesorthatfailtoprovidethedesireddegreeofprotection
inotherinstances.Therecommendedframeworkassetoutintheguidelineallowsforengineeredsolutionstobearrivedatthatmeetallthestakeholdersrequirements.
CurrentGuidanceonSpacing
Theprocessofdesigningthelayoutandspacingofequipmentinanewrefineryorothercomplexoperationisadifficulttask.Manyfactorscompeteagainsteachotherandoftensafetymaysuffer.Ifissuessuchascost,schedule,sitesecurity,andoperationalefficiencycouldbeignoreditwouldbesimpletoplaceunitprocessesandequipmentfaroutsideoftherangeofpotentialharmtootherstructures,equipment,orpersonnel.Thisclearlyisnotthecase,andthusadetailedassessmentmustbedonetodeterminetheoptimalcombinationthatresultsinanoperationthatcanrunefficientlychemically,financially,securely,andyetstillposeaminimalrisktotheplantitselfaswellastoanyneighboringstructuresandpersonnel.Withexistingsitesthatareexpandingorrevisingoperationstheoptionsareevenmorelimitedandthusclearlydeterminingwhatthepotentialexplosionscenariosare,
whatanacceptablelossis,andwhatthepotentialrepercussionsarebecomeevenmoreimportant.InfollowingtheprocessassuggestedbyCCPS,Figure4,aftertheinitialsiteischosenallofthehazardsmustbeidentifiedandtheconsequencesofeachincidenttypemustbeevaluatedinordertoproperlyassessthenecessaryspacingofequipment.
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Figure4Sitelayoutflowchart(afterGuidelinesforFacilitySitingandLayout,CCPS)xv
Spacingtablesoriginallyweredevelopedforfireriskandwerebasedonengineeringjudgmentandhavebeenadjustedperiodicallybasedonincidents,regulations,andadvancesinengineeringanalysis.CommonspacingtablessuchasthoseprovidedinGuidelinesforFacilitySitingandLayout,CCPSwerecompiledfromvariousindustrysourcesandhistoricalprecedent.Bothspacingtablesortheuseofsimplifiedmethodologiestotryanddetermineappropriatespacingaimsatachievingonegoal,minimizingtheextentofdamageassuminganincidentoccurs.Inthecaseofexplosionsthegoalistospaceequipmentfarenoughawayfromeachotherthatanexplosioninoneareaorprocessunitdoesnotpropagateandcauseacontributingorsecondaryexplosioninanotherareaorprocessunit.Inadditionwe
wouldliketominimizethedamagetofacilitiesasaresultofthepressurewavegeneratedduringtheexplosionincident.Theminimumspacingisoftenreferredtoasthecriticalseparationdistanceandtheproperidentificationofthisdistanceisessentialinproperlyapplyinganyofthesimplifiedempiricalapproachesusedtoassistinassessingthepotentialimpactofanexplosion.Theexistingguidanceonseparationdistancevariesgreatly,theYellowBooksuggestsspacingequalto10obstaclediameters,whileCCPShascompiledalistofspacingfromnational,industry,andinternalcorporatestandardswhichisshowninTable1.MuchoftheCCPSspacingwasoriginallyforfirescenariosbutoftenisappliedtoexplosionriskassessmentsaswell.Themostextensivetesting
performedtodatetodeterminetheseparationdistanceindicatesthattheguidancesuggestedbytheYellowBookmaybeinsufficient.TheRIGOStestingshowedthatthedeterminationoftheseparationdistanceiscomplexandthatitemssuchaspiperackswhichmightnormallybeignoredplayasignificantroleincontributingtoanexplosionandpushingwhatwouldnormallybealow-pressureeventintothehighexplosionoverpressurerange.
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Table1ComparisonofSelectedOilandChemicalPlantMinimumSpacingCriteriaxvi
Betweenprocessunits 50-200ft(15-60m)
Betweencontrolhouse&processunit 50-1200ft(15-365m)
Betweencontrolhouseandstoragetanks 50-350ft(15-105m)
Betweenotherbuildingsand:
Processunits 100-400ft(30-120m)
Pumps,compressors 0-100ft(0-30m)Storagetanks 5-400ft(2-120m)
Betweenmotorcontrolcentersand:
Processunits 0-200ft(0-60m)
Pumps,compressors 0-100ft(0-30m)
Storagetanks 0-250ft(0-75m)
Thisisofimportancebecausemostoftheexistingguidanceandcurrentpracticeistypicallyfarlessthanthe10obstaclediameterssuggestedbytheYellowBookandthelargestpoolofexperimentaldata,nottomentiontheincidentsthathaveoccurred,indicatethattherecommendedseparationdistanceisinsufficientintheeventofanexplosion,evenwhensignificantlyhighoverpressuresarenotinvolved
asinthecaseofBuncefield.TheSkikdaLNGfacilityisanotherexampleofafacilitywheresimplespacingruleswereappliedandtheresultingincidentshowedtheinadequacyofthedeterminedspacing.Multipleexplosionsinvolvingmultipleprocesstrainsoccurredfollowedbyafire.Anadditionalfactorregardingspacingisthattheminimumspacingforanexplosionorfirescenarioisnotthesame.IntheBuncefieldincident,whiletheexplosioncauseddamage,itwasthefiresthatragedfordaysandwereabletospreadbetweentanksandunitsthatcausedthemostdamageonsite.
ExistingResearchonCongestion
Thedynamicsofanexplosionareinfluencedgreatlybyseveralfactorsnamely:cloudprofile,ignitionstrength,confinement,andcongestion.ThesefactorswilllargelydeterminethecharacteristicsoftheVCE.Theconfinementofthecloudcanbeviewedaswhethertherearehorizontalorverticalbarriersthatconfinethecloudtoaparticularvolume,whereasthecongestionisthepercentofthespacethatisoccupiedbyobstructions(vegetation,equipment,piping,etc.).ThelevelofcongestionistypicallymorerelevantinonshoreVCEsthanconfinement.Onceignitionoccursthelevelofcongestionplaysacrucialroleinthedevelopmentofthepressurewave.Intheabsenceofcongestionthefuelinthevaporcloudwillcombustintheformofafireball/flashfirethattypicallyproducesminimaloverpressuresontheorderofseveralmillibars.Ascongestionistheprimarydriverofturbulenceandturbulenceissubstantialinthedevelopmentoftheexplosionthisinteractioniskey.
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Alargenumberofexperimentalandtheoreticalstudiesxvii,xviii,xixhavebeenundertakentoexaminetheimpactofcongestiononthedevelopmentofanexplosionandthegeneralconclusionsarethatincreasingtheVolumeBlockageRatio(VBR,percentofthevolumeblockedbyobstacles)willincreasetheflamespeedandthusincreasetheoverpressure.Theexactmechanismshoweverarenotwellunderstood
astheprocessisacomplexinteractionoftheacceleratingflamefrontandtheobstruction.Thisinteractionoftheflameandtheobstaclecausesbothturbulencebyvortexsheddingandlocalwakerecirculationwherebytheflamecanbewrappedin
onitself.xxTherearebothdirectandindirecteffectscausedbytheobstruction.Indirectlytheobstaclealterstheflowfield,turbulence,andreducestheavailablevolume,andthedirecteffectistheflameinteractionwiththeobstacle.TheMEM,Baker-Strehlow,andTNTmethodologiesallrelyoncharacteristiccurvestodefinetheoverpressure,howeveronlytheMEMandBaker-Strehlowtakeintoaccountcongestion.Themultienergymethodrequirestheusertodeterminethelevelofcongestionandtothenapplyablaststrengthtodeterminetheresulting
overpressure,whiletheBakermethodologyrequirestheusertoestimatetheflamespeed(whichislargelybasedoncongestioninadditiontofuelproperties)inordertodetermineoverpressure.Inbothcasesthedeterminationoftheappropriatecriteriaislargelyajudgmentcall,howeverstudiescomparingtheempiricalblastcurvestoexperimentaldataindicatethatforsubsonicdeflagrationsthecurvesmatchreasonablywellwiththeexperimentaldataxxiindicatingthatifthecorrectblastcurvecanbespecifiedintheriskassessmentthenthemethodologymaybesound.Thedifficultyhoweveristhatthereisnosolidguidanceonchoosinganappropriatecombinationofblastcurvesthathasbeenshowntobeanaccurateportrayalofthe
realworldphenomena.Alsotheempiricalcorrelationswerederivedbasedonalimitedsetofexperimentsandthusanysituationwhichisnotthesameastheexperimentsislikelygoingtoresultinadifferentblastprofilewhichmaynotfallonthederivedblastcurves.Aseriesofexperiments(MERGE&EMERGE)xxii,xxiiiwereperformedinthe1990stoattempttoderiveacorrelationbetweenthesizeoftheoverpressurewiththesizeanddensityofobstructionsinacongestedarea.Theresearchallowedsomelevelofdirectguidancetobeusedbypractitionerswhendeterminingtheblockageinacongestedarea,theobstaclediameters,andtheflamepathlength.Thisinformationhoweverislargelylimitedinitsusefulnessasthedataonlytranslatestosimilar
geometriesandnobroadaccuratecorrelationhasbeenfoundforgeneraluse.Morerecentlytherehasbeenextensiveworkusingcomputationalfluiddynamics(CFD)toolsforriskassessments.Inthiswaytheimpactofcongestionontheexplosiondevelopmentcanbedirectlyobservedgivenawiderangeofpotentialscenarios.Thisresearchhasshownthatamuchgreaterlevelofdetailcanbeobtainedusingthismethodologyandthatamorerealisticunderstandingofthe
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hazardsofcongestionandtheresultingseparationdistancescanbeobtained.xxiv,xxv,xxvi
TNOxxvii,Mercxxxviii,HSExxix,andKinsellaxxx(seeTable2)haveprovidedguidelinesforinterpretingfieldconditionsandapplyingthemforusewiththeMultiEnergyMethodology.Theseguidelineshoweverarenotconsistentwitheachother,still
leavemuchopenendedandallowforsignificanterror.Theconclusionsofmanypeer-reviewedarticles,includingthosethatsetouttheguidelines,isthattheappropriatedeterminationisnon-trivial.InKinsellasarticle,whichisoftencitedasthejustificationforthechoiceofanSTvaluehestates,itshouldbenotedthatthedataissomewhatlimitedandthatstructuraldamagereportsofincidentsarefraught
withuncertaintiesandassumptions.Inthelightoftheseuncertaintiesthemethod
proposedinthispapershouldberegardedmoreasascreeningtoolratherthana
detailedexplosionassessmentmethod.xxxi
Table2Kinsellaguidelinesontheselectionofinitialblaststrengths.
InadditionthemostrecentversionoftheYellowBookrecognizesthelimitationsintheguidanceandthefactthatusingthisguidanceasthebasisforananalysiscan
leadtoanunderpredictionoftheoverpressurebyafactorofupto30.xxxiiTheYellowBookstates,itisthereforerecommendedtobeconservativeinthechoiceofasourcestrengthfortheinitialblastandnottousethisguidanceatall.FurthertheYellowBooksuggeststhatwithoutadditionalinformationanyobstructedregionshouldbegivenaninitialblaststrengthof10.
Thusatitsmostbasiclevelandwiththosewhoaremostfamiliarwiththemethodologyandguidelinestheimplicationisthatthereissignificantroomforerror.IfoneweretofollowtheguidanceprovidedinKinsellaorfromothersourcesandtousearangeofSTvaluesfrom5-7,asKinsellasuggests,thepeakoverpressurewithintheinitialblaststrengthsvariesbyafactorof5.FinallyamongstalltheguidancethereislittletonoactualphotographsorconcreteexamplesofwhatwouldconstituteaparticularSTcurve,inessenceitbecomesaneducatedguess.
ComparisonofModelResults
ToattempttocomparedirectlythemodelsdiscussedinthisarticleanumberoftheRIGOSxxxiiiexperimentsweremodeledusingtheMEM,TNT,andtheFLACScfdcode.
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Theseexperimentswerewellcharacterizedandcaneasilybeclassifiedusingtheexistingguidanceforboththespacingoftheunitsaswellastheappropriatesourcestrength.Thepressureprofilewascomparedforthemodelsandcomparedagainsttheexperimentaldata.AlsotheinfluenceofthelocationoftheignitionsourcerelativetothevapourcloudwasexaminedusingtheFLACScode.
AbriefsummaryoftheRIGOSexperimentsisprovidedhere,howeverfulldetailsmaybefoundinHSEResearchReport369:Researchtoimproveguidanceonseparationdistanceforthemulti-energymethod(RIGOS).TheRIGOSexperimentswereaseriesofexperimentsdesignedtomeasuretheoverpressureandflamelocationofaVCEinordertodevelopaguidelinefordeterminingthecriticalseparationdistancebetweenprocessunits/areasinordertodiscriminatebetweenasingleormultipleblasts.Theexperimentscontainedtwoconfigurationsofstructures,arepresentationofwhichisseeninFigure5,adonorstructureandanacceptor.Theacceptorsizeand
densityoftheacceptorwerekeptconstantforallexperiments.
Figure5RepresentationofonetestconfigurationofRIGOStests(donorleft,acceptorright)
Thedimensionsofthedonor,theseparationdistance,thedonorVBR,andthefuel(ethyleneandmethane)werevaried.Theentiregeometrywasencapsulatedinplasticsheetingandastoichiometricfuel/airmixturewasintroducedintothevolumeatwhichtimethecloudwasignitedinthecenterofthedonor.TheAEtestseriesusedethylenewhiletheAMtestseriesusedmethane.
TheguidanceinKinsella,withregardstotheMEMblaststrength,suggestedthattheRIGOSstructureswerelowenergyignition,lowcongestion(
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BasedontheguidanceintheYellowBooktheinitialblaststrengthwaschosenasanST10.DetailedpressuremeasurementsusingFLACSandcomparedwiththeexperimentsfortheAE08,AE09,AM01,andAM05RIGOStestseriesareshownbelowinFigure9-Figure12.
Figure6SliceofthepressureprofileforAEseriesDD2donorrigconfiguration
WhencomparingtheresultsoftheexperimentswiththeFLACSresultsitisevidentthatthemodeldoesarelativelygoodjobofreproducingboththepositiveandnegativephasealongwiththepressuresobservedatthesensorlocations.BasedonthepositiveresultsofthemodeladditionalpressuredatawasextractedatotherlocationsfromthecfdresultstocomparethepressuresatspecificdistancesusingtheTNTandMEMmethodologies.TheresultsforseveraloftheRIGOSmodelsusingbothsimplyadonorconfigurationandadonor/acceptorconfigurationareshowninTable3.Whatisclearisthattheresultsvarywidelydependingonthemodelandwithinamodelbasedontheguidancechosen.
OnelimitationthatisclearimmediatelywiththeMEMmethodologyisthatthereisnowaytoaccountforfuelreactivity.GuidancefromFMRCfortheTNTmethodallowssomeaccountingforreactivitybyincreasingtheyieldbasedontheclassificationofthefuel,howeversimplyincreasingtheyielddoesnttrulysolvetheproblem.Whilemosthydrocarbon/airstoichiometriccombustionresultsinapproximately3.5MJ/m3thefuelreactivitycanvaryandthiswillhaveanimpactontheoverpressuredevelopment.ThisbecomesveryobviousastheAE09andAM05structuresarethesameonlythefuelhasbeenalteredfromethylene(AE09)tomethane(AM05),areductionoftheheatofcombustionfrom3.64to3.23MJ/m3.Thepressurecontourslooksignificantlydifferenthoweverifyourelyontheempiricalmodelstheywillproducethesameoverpressurevalueandthussignificantlyunderpredicttheoverpressureforethylene.Additionallytheinabilitytotakeintoaccounttheignitionlocationisevidentandpotentiallyimportant.TheAE/AMtestserieswereignitedinthecenterofthedonorrig,howeverusingtheMEMorTNTmethodologyignitionisassumedinthecenterofthecloud.Forthesamesizecloudanendignitionwillresultin
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significantlydifferentpressureprofiles.ThisisclearlyshowninacomparisonoftheignitionlocationsinFigure7andFigure8.
Figure7AE09testwithdonorcenterignition
Figure8AE09testwithignitionbetweendonor/acceptor
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Figure9AE09ExperimentalResults
Figure10AE09FLACSResults
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Figure11AE08ExperimentalResults
Figure12AE08FLACSResults
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Conclusions
Thispaperalongwithextensiveresearchbeforeitclearlyshowsthatthesimpleempiricaltools,suchastheMEM,TNT,andBaker-StrehlowareinsufficientfordetailedanalysesofVCEseitherforriskassessmentpurposesorforreconstruction.Amplepeerreviewedliterature,whichhasbeencitedhere,indicatesalackof
knowledgeregardingappropriateselectionofinitialblaststrengths,specifyingcongestionlevels,ignitionstrength,etc.Thesehoweverarecriticalpiecesofinformationifthesemethodologiesaretobeproperlyapplied.Fromascientificperspectivetheempiricalapproachesareinterestingandworthfurtherpursuit,howeverfromanengineeringstandpointtheyhaveseriousdeficiencieswhenbeingemployedtoassessscenariosthataffectsafetyandbusinesscontinuity.Partoftheproblemwithcomparingcorrelationmodels,oranymodel,totherealworldisthattheyareoftencomparedagainstdamagefromincidentsandthedamageobservedinanincidentisusedtodeterminetheoverpressuresthatoccurredintheincident.Thiscanbeaninherentlyflawedsystemasmostofthe
experimentsexaminingdamageweredoneusingpointsourceexplosivesandidealstructures,thiscombinationwillrespondsignificantlydifferentthanaVCEandanimperfectobject(i.e.newcaroffthelotvs.10yearoldvehicle).StudiessuchasthatdonebyJiangetalthatcomparethecorrelationmodelstopastincidentsstartwiththeunderlyingassumptionthattheoverpressureobservedcanbeaccuratelydeterminedmerelyfromthephysicalobserveddamage.Thesimplecomparisonofawell-documentedsetofexperimentsusingthevariousmethodsclearlyshowstheinabilityofthemodelstoadequatelycapturethepotentialimpactofanincident.ShortofchoosinganST10valueforallapplications,whichwillmostlikelyresultinextremelyconservativeresults,theonlywayto
capturetherelevantinformationandtogenerateresultsofsufficientdetailistouseatoolthatadequatelysimulatesthereal-worldphenomena.TheFLACStoolhasbeenshowninnumerousstudiesincludingthisonetobeabletoadequatelymatchexperimentaloverpressuresandtoprovideamoreaccurateoverpressureprofileforuseinariskassessment.Inordertobeabletoconductathoroughassessment,thespecificsiteconditionsmustbeabletoberesolvedinsufficientdetail.Inmostcasesthislevelofdetailcannotbeobtainedusingempiricalmodelsrathertheanalystmustrefertoacfdtool,orresorttooverlyconservativeassumptions.Withempiricaltoolssincethephysicalphenomenaarenotbeingmodeleditisimpossibletoaccuratelypredict
whatwillhappeninanevent,theestimatewilleitherunderoroverpredictthepressurecontours.
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Table3ComparisonofTNT,MEM(St2,3,&10),andFLACSresultsofRIGOSExperiments
RIGOSTest# CongestedVapour
CloudVol(m3)
Distancefrom
IgnitionSource(m)
MEMST2
Pressure(barg)
MEMST3
Pressure(barg)
MEMST10
Pressure(barg)
TNTPressure2
(barg)
FLACSPressure
(barg)
AE09 2.8 .704 .02 .050 20 40.7 .713
SD/DD=0.25 1.35 .02 .050 8.19 11.8 1.48
1.76 .02 .050 3.72 7.10 .639
2.46 .02 .050 1.16 3.75 1.14
3 .02 .050 .897 2.57 4.469
6.16 .010 .024 .356 .650 .158
9.16 .006 .016 .214 .305 .103AE08 2.8 .704 .02 .050 20 40.7 .478
SD/DD=1.50 1.35 .02 .050 8.19 11.8 .751
1.76 .02 .050 3.72 7.10 .376
2.46 .02 .050 1.16 3.75 .149
3 .02 .050 .897 2.57 .086
6.16 .010 .024 .356 .650 .008
9.16 .006 .016 .214 .305 .005
AE08/09 1.4 .704 .02 .050 20 26.2 .713
DonorOnly 1.35 .02 .050 4.18 7.58 1.47
1.76 .02 .050 1.55 4.57 .639
2.46 .02 .050 .859 2.41 .176
3 .016 .040 .665 1.65 .086
6.16 .08 .019 .265 .418 .008
9.16 .05 .013 .159 .196 .005
2
Factory Mutual Research Corporation assigns classifications to fuel based on reactivity and assigns a yield to the fuel, methane is a Class I fuel which has a 5%
yield, ethylene is a Class II fuel which has a 10% yield
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Figure13AE09donoronly:Comparisonofmodelresults,peakTNTandST10valuestruncated
Figure14AE09ComparisonofmodelresultsPeakTNT(40barg)&MEMSt10(20barg)valuestruncated