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7/27/2019 Developments in Gas Flaring Systems http://slidepdf.com/reader/full/developments-in-gas-flaring-systems 1/10 OTC 3910 DEVELOPMENTS IN GAS FLARING SYSTEMS by Frank S. West, Harris &Partners ©Copyrlght 1980 Offshore TechnologyConference Thispaperwaspresented at the 12th Annual OTC in Houston,Tex., May 5·8, 1980. The materialIs subject to correction by the author. Permission to copy Is restricted to an abstract of not more than 300words. ABSTRACT Developments in flare systems for the emergency de-pressurisation of oil production trains on offshore platforms in th e North Sea are reviewed in terms of safety , efficiency, cost, installation an d material usage. The most commonly used s yst em s ar e enumerated an d th e fundamental requirements re-stated. Appraisal is made an d notional costs given of each type cited. API guide RP521 rules for the calculation of radiation and temperature levels ar e examined an d th e extrapolations to them required for us e on North Sea platforms stated. Structura1 prob1ems in the design of lightweight structures subject to ic e an d high wind loadings ar e examined with regard to a) dynamic analysis of individual members. b) c on si de ra ti on of wake induced forces and shielding. c) th e derivation of wind force spectrum from considerations of wind structures fo r inclusion in a dynamic analysis of complete structures e) selection of heat resistant materials in locations near th e heat source INTRODUCTION The exploitation of oil fields in th e North Sea ha s led to situations which th e generally adequate design guidance given in th e API guide for pressure relief and depressuring systems (RP521) does not cover specifically. Its intent ha s therefore been extrapolated in various ways an d th e object of this paper is to review an d to make a personal appraisal of what ha s been done to date w it h r eg ar d to on e aspect, namely th e positioning of burners and th e concomitant structure which s up po rt s t he ga s lines to t he burners. single platforms. Where pipelines to shore were no t possible t he se facilities ha d to include storage in addition to drilling, primary separation an d production. 2) On single platforms the separation of hazardous areas f ro m a cc om mo da ti on an d communication areas could no longer be acheived by separate platforms inter-connected with bridges bu t ha d to be by fire barriers dividing a single platform. This necessitated that either th e gases to be burnt were taken directly from t he p ro ce ss area an d flared from near that hazardous area on th e platform or the gases were conducted away by sub-sea line to a stack mounted on a secondary p1atform or swive11ing buoy remote from th e main structure. For shallow, calm water th e remote s ta ck solution combines safety with economy. For deep, rough water maintenance problems concerned with purging accumulations of condensate in t he s ub -s ea line an d igniters an d pilots sharply reduce safety standards, while th e placing of th e lines and remote stacks in depths of water up to 150 metres multiplies th e minimum cost by a factor of at least 8. A further complicating factor is that, due to the present climate of energy conservation, large volumes of ga s are only flared in an emergency depressurisation or during commissioning of although th e pressure relief system must assuredly be available fo r an emergency, it is otherwise lightly used. A system in frequent heavy us e must be kept in efficient working order, on e lightly used is liable to receive less attention. It is therefore important to keep depressurising systems free of difficult bu t routine maintenance tasks. DESCRIPTION OF SYSTEMS IN USE The principal types of flare systems which have been developed fo r North Sea us e ar e shown in Figures 1 to 6. The main special circumstances in th e North Sea which have influenced facilities design are as follows: 1) In deep, storm prone, waters economics dictated that complete facilities be provided on Fig. 1 Dual booms References an d illustrations at end of paper. 557 The most compact an d economical solution consisting to two short (up to 75m (246 ft) booms
Transcript
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OTC 3910

DEVELOPMENTS IN GAS FLARING SYSTEMS

by Frank S. West, Harris &Partners

©Copyrlght 1980 Offshore TechnologyConference

Thispaper was presented at the 12th Annual OTC in Houston,Tex., May5·8, 1980. The materialIs subject to correction by the author. Permission to copy Is restricted to an abstract of not more than 300words.

ABSTRACT

Developments in f lare systems for the

emergency de-pr es su ri sa ti on o f oil productiont rains on offshore platforms in the North Sea arereviewed in terms of safety , efficiency, cost ,installation and material usage. The most commonlyused syst ems ar e enumerated and th e fundamental

requirements re-stated. Appraisal is made and

notional costs given of each type cited.

API guide RP521 rules for the calculation ofradiation and temperature levels ar e examined and

th e extrapolations to them r eq uired for use onNorth Sea platforms stated.

Structura1 prob1ems in the design oflightweight structures subject to ic e and high windloadings ar e examined with regard toa) dynamic analysis of individual members.

b) c on si de ra ti on o f wake induced forces andshielding.c) the derivation of wind force spectrum fromconsiderations of wind structures fo r inclusion ina dynamic analysis of complete structurese) selection of heat resistant materials inlocations near th e heat source

INTRODUCTION

The exploitation of o il fields in th e NorthSea has led to si tuations which th e generallyadequate design guidance given in th e API guide forpressure rel ief and depressuring systems (RP521)does not cover specifically. I ts intent has

therefore been ex trapo lated in various ways and th eobject of this paper is to review and to make a

personal appraisal of what has been done to datewit h r eg ar d to one aspect, namely th e positioningof burners and th e concomitant structure whichsuppo rt s t he ga s l ines to t he burne rs .

single platforms. Where p ipel in es t o shore were no t

possible the se faci l i t ies had to include st orage i n

addition to drilling, primary separation andproduction.

2) On single pla tforms the separation of hazardous

areas from accommodation and communication areascould no longer be acheived by separate platforms

inter-connected with bridges bu t had to be by fire

barriers dividing a single platform. This

necessitated t ha t e it he r th e gases to be burnt weretaken directly from t he p roce ss area and flared fromnear that hazardous area on th e platform o r the gaseswere conducted away by sub-sea l ine to a stackmounted on a secondary p1atform or swive11ing buoyremote from th e main structure.

For shallow, calm water th e remote s ta ck sol ut io n

combines safety with economy. For deep, rough watermaintenance problems concerned with purging

accumulations of condensate in t he sub -sea l ine andigniters and pilots sharply reduce safety standards,while th e placing of th e l ines and remote stacks indepths of water up to 150 metres multiplies th eminimum cost by a fa cto r o f at least 8.

A further complicating factor is that , due to thepresent climate of energy conservation, large volumesof ga s are only flared in an emergencydepressurisation or during commissioning of although th e pressure re l ie f system must assuredly be

available fo r an emergency, i t is otherwise l ightlyused. A system in frequent heavy use must be kept inef f ic ien t working order, one l ightly used is l iable

to receive less attention.I t is

therefore importantto keep depressurising systems free of diff icul t bu troutine maintenance tasks.

DESCRIPTION OF SYSTEMS IN USE

The principal types of f lare systems which have

been developed fo r North Sea use ar e shown in Figures1 to 6.

The main special circumstances in th e North

Sea which have influenced faci l i t ies design are asfollows:1) In deep, storm prone, waters economicsdictated that complete faci l i t ies be provided on

Fig. 1 Dual booms

References and i l lustrations a t end of paper.

557

The most compact and economical solutionconsisting to two short (up to 75m (246 ft) booms

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placed to point outwards from prevailing winddirection, which should bisect th e angle between

th e booms. When th e wind shif ts to a point along

one boom and towards the platform ( i .e. directingthe flame towards th e platform) th e other boom and

burner carr ies th e whole flame load. The only

disadvantage of this system is in th e danger ofmis-d irect ion of th e burner to be used in adverse

wind conditions. The elevation of the booms to ahigh i nc li na ti on w i ll allow th e flame path toclear th e platform and derrick but permi ss ib le

r adia tion leve l s could be exceeded on the workingareas. Radiat ion screens can reduce the level ofradiation in affected areas such as th e upper·

le ve ls of th e dr i l l derrick. A great advantage ofthis system is that f lare t ips can be changed andmaintained without interfering with production.

metres (1000 f t ) . Problems must arise with keeping

th e l ine free from condensate and in maintenance ofpilots , igniters, thermo-couples and flaret ips.

Table 1 shows th e approximate ranges of materialweights and f abr ica tion cos ts fo r each of th e sixoptions, assuming th e average water depth of 140metres (460 f t ) , environmental condit ions applicable

in the North Sea area, and a maximum f lare capacityof 460,000 kg/hr (1,000,000 lbs/hr).

High p i tch cant il eve r s tend to be cheaper thanlow pitch as t hei r e f fec ti ve length in a horizontal

direction is less, moments due to dead and ic e loads

ar e reduced which allows fo r reduced section' sizeswhich in turn reduce wind loads,

Fig. 2 vert ical stack

Vertical stacks from th e platform r equi re t o be a t

least 100 metres in height. They general ly requi reto be instal led in pieces offshore and their bases

take up a lo t of valuable pla tform space. Acruciform tower offset from one corner of th e

platform could be instal led in one piece and wouldnot reduce th e usable p lan a rea of t he p la tf orm.

Maintenance facil i t ies are superior to thosepossible on outward cantilevering stacks and flare-t ip changing could be a rr anged wit hout acces s to

the to p platform of the stack. Thus, with twinf la re li ne s, t ip s could be changed without inter-fering with production.

Radiation levels can be kept to acceptable l imitsregardless of wind direction. I f l iquids are not

completely eliminated from th e vapour t ra in there

is a small possib il it y that in l ight winds, burning

l iquid part ic les may reach the platform deck.

Bridges require to be a t leas t 182 m (600 ft) long

and to have a stack a t the end a t least 33m (100 ft)above top deck level. The supporting tower fromthe sea bed might need to be as long or longer thanth e bridge, depending on water depth, and must bedesigned to carry maximum wave loads. The systemhas the advantage of being able to accommodateemergency generation plant and equipment remote

from th e main platform.

To be effective such single booms require to be a t

leas t 100 metres (328 ft) in length. Stayedcanti levers are the mos t economica l structuralform. Flame shapes relat ive to these two types areshown in Figures 7 and 8 discussed la ter in th epaper. For th e high pi tch canti lever , r adia tion toth e working areas can be kept to an acceptablelevel and there is l i t t le danger of l iquidpart ic les being carried back on to t he p la tf orm.

The boom may be instal led in one piece but th eoperation is by no means a s imple one , and is besteffected from th e stable p la tf orm off er ed by asemi-submersible crane vessel.

The length of th e l ine is generally about 300

Fig.

3 & 4

Fig 5

Fig 6

Low and high pitch cantilever booms

Bridge on secondary support

Sub-sea l ine to a remote stack

558

Only fabrication costs are given asinstal la t ion costs are generally contracted for thecomplete top-side and i t is therefore diff icul t to

extract f ig ur es f or any single item of equipment.

A notional assessment of th e instal la t ion costsincluding transportation would be :

1) Options shown in Figures 1 to 4, 0.5 to 0. 8

times th e f ab ri ca ted cost . The causes of variation

would be

a) Downtime due to·weather in a l l cases

b) In the case of th e vert ical stack, th e size ofindiv idua l p ieces of tower to be l i f ted.

2) Option shown on Figure 5 between 7,000,000 and9,000,000 dollars.

3) Option shown on Figure 6 is complicated by the

add it ion o f a short length of subsea l ine requiringa t least two heavy anchorages, between 12,000,000 and14,000,000 dollars.

APPRAISAL OF SYSTEMS

If a sat isfactory degree o f p ro te cti on fromradiation and heat effects is assumed fo r a l l types,neither of the options shown in Figures 5 and 6appear very attractive economically, their instal ledcost bei ng abo ut te n times that of th e others andmaintenance (particularly of that with a sub-sea

line) would show a t least an equal level ofescalation.

Instal led costs of th e other types are moreclosely bunched and must be considered in context ofth e other parameters making a value jUdgement.

The sole disadvantage of th e dual boom system is

in th e possibil i ty of an emergency rel ief of gas

being directed over the platform when th e winddirection is parallel to one boom and t he pla t form isleeward to that boom. As one of th e objects of thissystem is to allow th e tota l f la re in g t o take placefrom one selected boom i f pressure rel ief must betaken under adverse wind conditions, i t may appear aninconsiderable risk th at such a sys tem should fai l .Nevertheless there is a strong body of opinion amongprocess engineers that an emergency pressure rel ief

system should work infal l ibly without manualselection.

I t is apparent that flame from an hor izont al o rlow pitched boom could actually impinge on the

pla tform or a t least on th e dr i l l d er ri ck i n th e case

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proposed. I f the booms ar e elevated to a 45° angleand spring from th e highest level. possibJ .e on th etopside the fJ.are t ip will invariably be abovederrick head, th e working levels of which can be

protected by radiation screening. This arrangement

would provide a fai l safe device in th e event of am is-application of the flareboom selectionprocess.

For t he p rocess engineers whose objections toa manual selection system is too strong toovercome, th e remaining systems shown on Figures 2,

3 and 4 have been u sed, w ith th e exception of th ecruciform vert ical stack. Their cost installed areof th e same order.

One disadvantage of a vert ical stack is thati t is liab le to take up 8 to 10% of th e availabletop-deck space and cannot generally

a) be placed in i ts most logical position over

t he well -head area as i t would interfere withth e dril l-derricks

b) be placed between th e well-head and th e accom-modation areas without reducing. crane

coverage over the deck in addition to moving apotent ial hazard closer to accommodationareas than desirable.

A cruciform vert ical stack se t off one corner

of the p la tform overcomes this problem.

The low p it ch s ingl e c an ti le ve r boom suffersth e same ( if diminished by virtue of i t s greaterle ng th ) d is advanta ge a s th e low pi tched dua l boom.However, i f an adverse wind is blowing stronglyfrom t ip to platform there remains no al ternat iveflare path and, depending on the length of the booma hazard or a t leas t discomfort from smoke cloudcould exist.

The high pitched single cantilever can

overcome a l l th e radiation problems to th e deck and

dr i l l r ig, bu t requires a platform shut-down to

c arr y out a t ip changing. or maintenance operationand is certainly more diff icul t to design,fabricate and instal than any of the o th er v iabl eoptions. Each type ful f i l s neatly a l l of the idealrequirements, consequently selection is a matter oflogica l in terpreta tion of part icular cases. In th e

author's opinion the basic cr i te r ia fo r th eposi t ion ing of a flare burner should be as f ol lows :

i ) The burner should be placed a t an elevation toavoid a flame impingeing on the dr i l l derrickwhen th e flame is streaming (Le.horizontal) • No provision is made againstthis case in the guidance afforded by RP521but i t can occur i n p rac ti ce .

i i) The burne r shou ld be be leeward from the

platform for th e most prevalent winddirection.

i i i ) Tip changing or maintenance should,preferably, be possible without necessitating

a platform shut down.

iv ) Radiation levels calculable according toRP521 should be observed with the provisionthat fo r cases of remote probability (e.g. aful l emergency de-pressurisation with th e

559

most adverse wind possible) acceptabler ad ia ti on l evel s could exceed those given in

guide by a factor of up to two.

These cr i te r ia assume that emission of liquidpart ic les is virtually eliminated by an eff icientknock-out system.

GUIDE ROLES RELATED TO BURNER POSITION

Only matters related to burner position and

supporting structure are dealt with.

Guidance is given fo r the case of vert icalburners only and radiation is calculated from a heatsource a t the mid-point of the flame.

The calculation method is specifically intended

to provide the minimum height of vert ical stackrequired from grade. In th e case of an offshoreplatform i t is often considered convenient to i nc li neth e stack and burner a t an angle which may varybetween 0

0and vert ical . The dual effect of this is

that the nearest sensitive point on th e platform mayno longer be the equivalent of "grade" and the mid-

point of the flame may no longer be an adequat e

representation of the heat source (which i t is in th ecase of a vert ical stack).

I t should be noted that a vert ical burner isgenerally accepted to be best in terms of long l i fe

and maintenance.

Another and almost equally important effect froman inclined t ip is that the flame shape is influenced

by th e gas velocity at th e orif ice. Where flaring isat a low rate (of purge gas only, fo r example) and ahigh wind is blowing back a long th e bu rn er l ine thereis a high probabil ity of :i) Flame lick back along the burner reducing th e

th e burner l ife

ii ) The flame "streaming", Le . taking an horizontalpath instead of the rising curve derived from a

combination of a gas and wind velocity andconvection effects, but as an inclined burner is

usually positioned a t a low elevation th ephenomena can be more cr i t i ca l in i ts case.

One advantage which occurs in platforms remote

from th e shore is that wind turbulence a t th e levelsa t which burners are placed is generally much lessthan on-shore, where topography can induce high threedimensional turbulence. Provided th e tip hassufficient elevation there is only a low probabilityof th e flame being swept below t ip level.

The theoret ical flame shape from an inclinedburner may be easily computed from an extrapolationof the formula given in th e guide. I t would appear

prudent to conside r t he effects of a streaming flamefo r cases in which th e gas velocity is low comparedwith the wind velocity.

Figures 7 and 8 show flame shapes derived by th eRP52l formula fo r th e conditions relevant to th eflare booms shown in Figures 3 and 4 and the

previously quoted flare capacity. Envelopes of flameshape are shown fo r 20% to 100% flaring capacityunder adverse winds of 10 and 70 mph wind speed. Forth e 25

0boom a t higher wind speed th e t a i l of th e

flame would point directly a t the upper le ve ls o f th e

dr i l l derrick. In the case of th e shorter dual boom

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of low pitch the flame tail could impinge on thedrill derrick if the wrong boom was used byaccident. Both of these situationscouldbe lethalto people working on the derrick regardless ofradiationscreening,althoughit is justwithinthebounds of possibility that the radiation andtemperaturelevelas calculatedfrom theprescribedheat sourceat flame mid-pointwould not be wildlyhigh.

Another factor to be considered regardingflame shape from low pitched tips is that under

adverse conditionsthe flame passesmuch closer tothe flareline and its supportingstructurethan isthe case for a vertical stack. High radiationeffectsmay thereforebe expectedin the area nearthe end of the boom givin rise $0 temperaturesinthe bmm structureof 300 to 350 C (572to 662°F).Such temperatureswill sharplyreducethe allowablestresses in carbon steel and the life of anycorrosion protection coating. In view of thedifficultyof maintainingcoatingson booms and theprocess down time such maintenance entails, thelatterproblem is the more serious.

Calculationsfrom a single point heat sourcetend to show an optimistic temperature levelwhereas calculations from heat sources equally

distributedalong the flame tend to be pessimistic.The reason for pessimistic results from uniform

multiple sources is that the radiation from thenarrow pencil of partially burnt gases near theburner is considerablylower than for the greaterdiameter flame front farther back in the flame.That is, multipleheat sources from a single flame

shouldnot be treatedas uniform.

STRUCTURALDESIGN

The design procedure can be divided into two

parts:

a) The application of static wind and iceloadings in combination to establish the

structuraltopologyand sectionsto be used.The treatmentof forcesdue to these types ofloading is well established and needs nofurther comment. Maximum wind speeds in theNorth Sea are sufficientlywell documented,but estimates of ice accretion vary amongauthoritiesfrom a maximum of 100MM to zero.The only thing the estimateshave in common isthat the ice thicknesswill be greater at lowlevel and will diminishwith height. It mustalso be said that the location of thestructure in the North Sea has an importantbearingon the level of ice accretion.

b) Using the structurearrived at by the staticanalysis, a more refined analysis must be

carried out to check for dynamic and fatigueeffects.

Dynamic Analysis

A wide ranging documentationof the problemswhich may be encountered may be found inEngineering Sciences Data Unit series on WindEngineering,Volumes 1 to 4. The coverageextendsfrom wind turbulence data, mean loads onstructures, fluctuating loads, response and thenatural vibrationparametersof structures.

The actual analysis may be divided into tparts:

i) Verificationof the individualmembers in tstructureagainst susceptibilityto vortex sheddiresonance. A convenient starting point for thinvestigation is the graph shown on Figur9 which should be used for chords of booms andsimilar graph but for the fixed ended condition fbracingmembers.

These graphs compare the natural frequency otubulars of normal wall thickness to the Strouhfrequencywhich definesthe vortexsheddingfrequenfor specificwind speeds for each diameter.

From this graph one can readilycheckmembersangroups of members to assess if they are in thcritical range. Members in the critical rangwill not be subject to resonance provided thinequality

is satisfiedwhere

M = mass per unit length

P =air density

D = member diameter

and ~= = logarithmicdecrementof daming.

The last named factor for welded steel tubulstructures can vary between 0.001 and 0.01. Thlowestvalue of the dampingparameterwould applya member which is in a more or less steady state of

tension whilst being subjected to vortex shedding

from wind (e.g.a tie carrying a heavy dead loasubjectedto a cross wind). The highest value woul

apply to members subjectedto rapidly fluctuating

random stresses (e.g. bracing members in the maistructure). Welded structuresgenerallyhave lowdamping characteristicsthan do bolted or rivettconstruction. In practiceaxial forcesin membersdnot significantlyaffect the natural frequencyofmember, a differenceof ~ 5% may occur.

It is possible to quantify the steady staamplitude of a resonant member by a somewhlabrynthine tabular method contained in E.S.D.ItemNumber 78006 but only in an investigationof tcause of an actual case of resonance is suchcalculationappropriate.

Although lattice structuresare not generalprone to vortex sheddingresonanceas air flow ovthem tends to be broken up by the bracing memberwhere two dominant members of like diameter arparalleland placed less than six or seven diameteapart and contain a susceptiblenatural frequencyis possiblefor resonanceto be set up in one or botmembers,the frequencyof resonancemay be very higThe phenomena can occur with chords of a lattistructureor twin gas lines.

From this verificationany suspectmembers cabe adjustedby increaseof diameteror sub-bracingtensureno individualmembersare liableto resonancPractically this is the important part of th

560

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analysis but if called for the second part may be The threecomponentsof load effectare takenasentered. those from

ii) Analysis of the whole structure can then be a) the one hour mean windundertakenusing as near to a member for membermodel as possibleeconomically,and extractingthe b) fluctuatingnon-resonantforceseigenvaluesand theirrelatedfrequenciesand modalshapes. c) fluctuatingresonantforcesfrom which theremay

Three main types of wind induced dynamicbe significantcontributionsfrom more than onestructuralvibrationmode.

effectscan relateto the main structure,the firstis due to vortex sheddingon the dominant member

(invariablythe flare lines), the other two being

For remoteoffshoreconditionswith long fetches

the surface roughness parame~~due to wind turbulence buffeting and wake

& ~o_z;d

buffeting.constant (generallytaken as 10 .

This reduces turbulence within the gradient

Assessmentof the vortex sheddingtype beginsheight and eliminates one variable from ‘the

with a comparison of the shedding frequenciesproblem,leaving the followingto be considered

i) Turbulence intensity and length scales ofpossible and the natural frequencies of the turbulencein the x,y and z directions,all ofstructure. which vary with height (of the structurefor the

specificcase))Rigorous treatment of wind turbulence

buffetingii) The natural frequenciesof the structure

requires modelling the actualconditions,initiallyit is enoughto considerthat

iii) The propertiesgiven in (i) in conjunctionwith

in the virtuallyundisturbedatmosphericwind foundthe range of eddy frequencieswith which the

at this height in remote offshore structuresthestructure is liable to react significantlycan

higher frequency eddies contain less energy thanbe used to derive a non dimensional spectral

those with a lower frequencyof occurrence.density function,a curve of which is shown inFigure 10. The summationof the valuesof thisfunctionfor the equivalentnatural frequencies

Treatment of wake buffeting requires

knowledgeof wind behaviourover the totalplatformof the structuredefinesthe resonantcomponent

iv]structurewhich can only be achievedby a physical

Mean mode generalisedaerodynamicorcesfor each

(windtunnel)model.mode to be consideredfor summationof the totalvariance. Each consistsof the summationof the

As the structureof a platformis liableto bemean forces on the boom times the normalised

sharp edged inmode shape.

main shape, its behaviour in v]windflow will not be subject to scale effect and

A structuraldampingparameterwhich can only be

ReynoldsNumber need not be matched between modeldefined simply for structureswith linear modeshapesand constantmass distribution.

and prototype.

OrI the only wind tunnel test of an aeroThe magnitude of these variables cannot be

elasticmodel of a boom attached to a platform ofassessed with great accuracy in the present state of

knowledge.which the authorhas knowledge,wake buffetingas a

It is probable that the mean forces canbe accurate to within ~ 25%. For most lattice

principal source of excitation was shown to be structures the dynamicsufficient to excite the boom in the lower

response contributions

frequency modes but the boom remained stablesummate to be nearly equal to those from the mean

throughout the wind speed ranges tested for allforces,and theycan bg subjectto the same degreeofdivergenceas can the mean forces. For the maximum

wind directions. and minimumcases this could lead to an error of plus

If the shedding or buffeting frequencies42% or minus 33% of the correct value.

appear to be close to any of the lower naturalfrequenciesa response analysismay be necessary.

It shouldbe noted that the sourceof error lies

Generallythe sheddingfrequenciesare too high andwith the actual wind speeds, turbulencescales and

the buffeting frequencies too low todampingparametersused thereforea static analysis

havesignificantresonant effects on a beom of normal

using 3 secondgusts would contain most of the same

stiffnessthough there will alwaysbe some dynamicerrors, but a static analysiswill not give accountof the reactionbetween wind turbulencefrequencies

amplification. and structuralfrequencies.

PROBABILITYBASED DYNANIC ANALYSIS Where the structure has adequate stiffness to

Much endeavour has been made to combine theresist periodic turbulencethe static and the prob-

researchcarried out on the nature of wind forcesabilistic dynamic methods of analysis give rise to

and the mass/flexibilityvery similarmaximum member forces.

characteristics ofstructureswhose principal external loadings aredue to wind forces. Because of.the number and

For flexiblestructuresthe dynamiceffects due

diversity of the variables involvedand the factto turbulencebecomemore marked and the value of the

that some of these have yet to be investigatedinprobabilistic method lies in checking that such

depth, the most logical approach appears to bestructures are not prone to turbulence buffetingresonance.

analysison a probabilitybasis for the fluctuatingFurther research on the value and

forces, which can then be applied as dynamictreatmentof dampingparameterswould constitutethe

responsefactorsto that most constantregisterofonly major refinementrequiredto the method, which

wind speed, the one hour mean.is in any case viable in its present form.

561

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,/

dHIGH PITCH

,?+ OR,,;’

_.5=!lf

.//’

— LOW PITCH

Fig. 1 - Dual booms.

—.

Fig. 3 - Low pitch cantilever

boom.

cwaf=aw

/,’+..

a

●;),, OR

—SQUARE STACK

w

Fig. 2 - Vertical stack.

,/

IFig. 4 - High pitch cantileverboom.

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1.

I

Fig. 5 - Bridge on secondary support.

rl-—.——.--.--.---.—.0

. TEMPLATE OR

I 1 SWIVELING BUOY

STACKII \~

\

IL.-.l !

I

I

:–.-._.. ., . _ v.—.—.— 1

Fig. 6 - Sub-sea line.

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100%

r%009.AT 45 mph

—. — —— ——

100 %

100 % AT 120 myh—.‘- —-—-~im~-— ----

~o~Af ~o-m~ - ‘- ‘-—- -.

‘TFig. 7 - Flame paths flaring into headwind 45° boom.

-1

100 “A

?=T’%00% AT 45 mph—.—— ——— ___

100%

100% AT 120 mph

“YFig. 8 - Flame paths flaring into headwind 25° boom.

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1001 “’ vi.~r r 1 1 1 1 1 1 1 1 I I 1 1 I I I I

80\ 1-, I I I I I I I I

r. -’.~ . ,

60

40

20

I \

-.

8

6

4

2

I

lk22mm

610mm

406mm324mm213 mm219 mm

168 mm114 mm

89 mm

.-1 10 ///100

5FREQUENCY- f - (Hz)

w lsti

Fig. ? - Natural & Strouhal frequencies pin ended members.

I

10-’

#uU(n)

10-~

I(Y310-2 [1-1 i

nx

jo2

Fig. 10 - Non-dimensional spectral density function.


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