401
1 INTRODUCTION
Itiswellknownthatashipmanoeuvringinshallow
water generally has a larger tactical diameter and
increased added mass compared to manoeuvring in
deep water. Tactical diameter tests, Ztests, etc., in
deepwaterareconductedbytheshipyardduringthe
ship’s construction; therefore, the manoeuvring
performa
nce and test results of such ships in deep
waterareavailable.Ontheotherhand,manoeuvring
performance tests of fullscale ships are difficult to
carry out in shallow water, and performance is
usually estimated. Although the need for
manoeuvring performance criteria in shallow water
has been discussed, such criteria have not been
formulat
ed as international criteria. In recent years,
shiphandling simulators are being extensively used
to study the number of tugs and total horsepower
required to prepare for and determine critical wind
speed when a ship enters port for the first time or
whenportfacilitiesarebeingnewlyconstructed.Ship
manoeuvringm
athematicalmodelstobepreparedfor
such studies are generally based on trial results in
deep water and the particulars submitted by the
shipyard.However,althoughthestudies mustfocus
onmanoeuvringwithin theport and almostentirely
inshallowwater,manoeuvringmathematicalmodels
available are mostly those tha
t consider general
shallow water effects estimated from trial results in
deep water given by the manufacturers of ship
handlingsimulators.Whileitiswellknownthatthe
studyofsafetyduringmanoeuvringwithinportusing
shiphandling simulators is highly significant, the
author has pointed out the importance of the
followingtwotopi
cs:
Manoeuvring mathematical models in shallow
wateraregenerallyestimatedbymanufacturersof
simulator,theaccuracyofwhichisnotverifiedin
mostcases.
During the study of manoeuvring safety in port,
objective criteria for safety assessment are not
alwaysclear.
Study on Manoeuvring Criteria for Safety Assessment
in Shallow Water
S.Nakamura
J
apanMarineScienceInc.,Kawasaki,Japan
ABSTRACT:Thenecessityofverifyingmanoeuvringmathematicalmodelsinshallowwaterforstudyingthe
safetyofshipsusingashiphandlingsimulatorispointedoutinthisreport.Severalinstancesofverificationof
mathematicalmodels inshallowwater areintroduced here based onmeasurementsof motion condit
ionsof
fullscaleshipsandshallowwatertanktestsofmodels.Resultsofsafetyassessmenttestsoffivemanoeuvring
phases are given using the verified manoeuvring mathematical models to discuss manoeuvring criteria in
shallowwater.Objectivemanoeuvringcriteriaforsafetyassessmentinshallowwaterareproposedbasedon
subjectivejudgementrelated tocontrolma
rginassessedby more than 3,200 mastersand pilots forover 325
simulationtestsandbyanalysisofthestudyresultsof15fullscaleships.
http://www.transnav.eu
the International Journal
on Marine Navigation
and Safety of Sea Transportation
Volume 11
Number 3
September 2017
DOI:10.12716/1001.11.03.01
402
The following items related to the two topics
mentionedabovearediscussedinthisstudy:
Freerunning tank tests (turning tests, Ztests)
were conducted in shallow water on models of
singlescrew and twinscrew LNG carriers.
Reproducibility of manoeuvring mathematical
models in shallow water was verified and
adjusted.
Motionconditions whilemanoeuvring inshallow
waterwithinportofseveralLNGcarriersrecently
commissioned were measured on board.
Reproducibility of manoeuvring mathematical
models in shallow water were verified and
adjusted.
Theauthorconductedsafetyassessmenttestswith
fullmission type shiphandling simulator using
manoeuvring mathematical
model in shallow
wateronseveralLNGcarriersthereproducibility
of which was already verified. The test cases
amountedto325.
Objective manoeuvring criteria in shallow water
were determined from the response to subjective
judgementrelatedtocontrolmarginbymanyship
operators (masters, pilots, etc.) witnessing the
manoeuvringsimulation
tests andmotion
conditions for each of the following five phases:
coursekeeping phase, coursealtering phase,
speedreducing phase, lateralshifting phase, and
standstillturning phase. The results of one
simulation test case have been witnessed and
assessed by an average of 10 ship operators
(masters,pilots,etc.). Accordingly,
thenumberof
persons who have assessed the 325 tests exceeds
3.200persons.
Subjective judgements were acquired related to
control margin from masters and pilots who
boarded 15 LNG carriers that entered/departed
portaftermeasuringmotionconditionsforeachof
thefollowingfivephaseswhileberthing/sailingin
shallow water: course
keeping phase, course
altering phase, speedreducing phase, lateral
shiftingphase,andstandstillturningphase.
Based on the manoeuvring simulation tests in
shallow water using models for which
reproducibility had been verified, and based on
the study results of the 15 fullscale ships, the
objective manoeuvring criteria below
were
formulated as acceptable motion conditions.
Results under comparatively calm weather
conditions included many from the study results
offullscaleships;however,findingsshowedthat
mostofthesimulatortestswereconductedunder
seaandweatherconditionsatacceptablelimitsof
controlmargin.
Acceptablemotionconditions
Coursekeepingphase:
Driftangleunder8degrees
inmainengineslowaheadcondition
Coursealtering phase: Turn rate greater than 8
degrees/min. in the main engine slow ahead
condition
Lateralshiftingphase:Lateral(shift)speedgreater
than20cm/sec.atstart
Speedreducingphase:Greaterthan0.2kts/min.
Standstillturningphase:Turnrategreaterthan10
degrees/min.
2 MATHEMATICALMODELINSHALLOW
WATER
2.1 Tanktestsinshallowwater
The general practice for ship manoeuvring
mathematicalmodelintheshiphandlingsimulatoris
totunethedynamicperformancebasedontheresults
ofdeep water trials.Turning tests of
fullscale ships
are difficult to conduct in shallow water, and
manufacturers of simulators generally estimate the
manoeuvring performance in shallow water.
However,inmostcases,theshiphandlingsimulator
operationssidemaynotbeabletoconfirmadequately
the accuracy. In a project aimed at improving the
accuracy of
the ship manoeuvring mathematical
model of simulators in shallow water in which the
authorparticipatedasoneofthemainmembers,free
running tests were conducted in shallow water on
two kinds of LNG carriers (with models of 3m
overall length) with varying aft shapes: Ship A
(singlescrew)with
Lpp:275m,B:49mandL/B:5.6;
andShipB(twinscrew)withLpp:293m,B:49mand
L/B: 6.0.A part of the tank tests results is shown in
Table1andTable2.
Comparing Ships A and B, the L/B of ship B is
slightlylarger,andtheaftshapeisdifferentbecause
ofthesinglescrewand twinscrewconfigurationsof
the two ships. Because of these differences, at the
same initial speed of 5 knots and a water depth to
draftratio(H/d)of1.2,thetacticaldiameterofShipB
was comparatively
much larger, and the overshoot
angleintheZtestwassmaller.
Thetestsconfirmedthatshallowwatereffectwas
not consistent, and the difference was large,
dependingonthehullshape.Careisnecessarywhen
settingthemanoeuvring performanceundershallow
water effects during safety assessment while
manoeuvring the
ship within port using the ship
handlingsimulator.
Table1.Tanktest(Tacticaldiameter)
Tacticaldia./Lpp
Starboard35degrees
ShipA;Lpp:275m,B:49m,draft:11.6m,Singlescrew
ShipB;Lpp:293m,B:49m,draft:11.5m,Twinscrew
_______________________________________________
H/d=1.2 H/d=1.5 H/d=
Tacticaldia./Lpp 5kts 5kts 19kts**
_______________________________________________
ShipA/Singlescrew 4.43.53.0
ShipB/Twinscrew7.0* 4.53.6
_______________________________________________
* Duetoconstraintsinthewidthoftestingtankusedfor
thetests,someassumptionshavebeenincluded.
**Speedis19knotsatH/d=∞
Table2.Tanktest(Ztestresults)
1
st
OvershootAngle
Starboard10degree
ShipA;Lpp:275m,B:49m,draft:11.6m,Singlescrew
ShipB;Lpp:293m,B:49m,draft:11.5m,Twinscrew
_______________________________________________
H/d=1.2 H/d=1.5 H/d=
1
st
OvershootAngle
(Degree)5kts 5kts 19kts**
_______________________________________________
ShipA/Singlescrew 2.94.36.3
ShipB/Twinscrew1.24.66.3
_______________________________________________
**Speedis19knotsatH/d=∞
403
Fig. 1 shows the results of turning tests (deep
waterandshallowwaterwithinitialspeedof7knots
for both cases) by simulator of Ship B (twinscrew),
basedontheresultsoftheabovetanktests.
Figure1.Resultsofturningtests(deepwaterandshallow
waterwithinitialspeedof7knotsforbothcases)by
simulatorofShipB;Lpp:293m,B:49m,draft:11.5m,Twin
screw.
2.2 Verificationofmanoeuvringmathematicalmodelin
shallowwaterbyonboardstudies
Theauthorandstudyteammembersboardedseveral
shipsinoperationfrom2007to2016fifteentimes,and
measured ship motions during berthing/sailing
manoeuvresinshallowwaterconditions.Signalssuch
asship’spositionandheadingwereacquiredbyGPS
from the AIS plug of the ships, and the steering
conditions,mainenginerpm,usageconditionsoftug
and thruster were also recorded in time series for
motionmeasurements.
Similar manoeuvring during measurements was
performed in the shiphandling simulator. The
reproducibility of the ship manoeuvring
mathematical model was verified
in shallow water
conditionsbycomparingshipmotionconditions.
Fig.2showsthetrackchart(wind:WNW5.3m/s;
tidal current: ENE 0.1 knot) in the coursealtering
phasewhileberthinginJapanonDecember15,2014,
from the results of fifteen measurements. (Ship
particulars:LOA:288m,LPP:275m,
Moldedbreadth:
49 m, MOSSshape cargo tank capacity: 155,000 m
3
,
draft:11.8m)
Figure2. Track chart (wind: WNW 5.3 m/s; tidal current:
ENE 0.1 knot, H/d=1.5) in the coursealtering phase while
berthingonDecember15,2014).
Fig.3showsthechangedconditionsintimeseries
of turn rate for the same status. The changed
conditions in time series of the turn rate when the
samemanoeuvresofthestudiedfullscaleshipwere
implemented on the shiphandling simulator under
thesamephase,aresuperimposedinFig.
3.
Figure3. Status ofdevelopmentof turn rate inthecourse
alteringphaseoffullscaleship(berthingonDecember15,
2014) and simulation (Wind: WNW 5.3 m/s; tidal current:
ENE0.1knots,H/d=1.5).
Althoughtheeffectivenessofrudderwasslightly
delayed with the main engine stopped in the
simulation model at conditions of H/d=1.5, water
depth approximately. 17.5 m, advance speed of 4.6
knots,rudderhardtostarboardat10:06hourswhen
course alteration started, the startup conditions of
turnrate,maximumturnrate,
etc.,werereproduced
togoodaccuracy.Fullscaleshipdataareindicatedin
pulseform because the heading measured from AIS
data are integer values, and the turn rate is also an
integervalue.
3 SAFETYASSESSMENTTESTUSINGFULL
MISSIONTYPESHIPHANDLINGSIMULATOR
The manoeuvring mathematical model with
which
reproducibility of manoeuvring performance in
shallow water was verified in the previous section,
wasusedandseveraltestswereconductedtoverify
port/harbour implementation plan, and wind speed
criteriathatbecomelimitsforsafeoperation,number
of tugs, horsepower, etc. An overview of the safety
assessmenttestsconductedforLNG
carriersshownin
Table3isdiscussedhere.Thesearesafetyassessment
tests conducted with the purpose of formulating
operationalcriteriaforreceivingshipsorconstructing
berths.Theberthswere16inall:15withinJapan,and
1inAustralia.Thetestsconductedoverthepastfive
years were considered
for judgment; however,
combining berthing and sailing, the number of tests
finallyreached325.Sincestudiesaimingtodetermine
operational limits were many, the number of cases
implementedforwindspeedsbetween10m/sand15
m/s were numerous, including some cases with a
maximum wind speed of 20 m/s. Tests
were
conducted in shallow water with tidal current
between 0 to 0.5 knots, and ratio of water depth to
draft(H/d)between1.2to1.5.
Manoeuvringduringtestsusingfullmissiontype
shiphandlingsimulatorwastheresponsibilityofthe
pilotroutinelyperformingberthing/sailingoperations
atthe berth.The master
witnessedthe manoeuvring
404
test, and together with the pilot in charge of
manoeuvring, subjective judgements including
control margin for each manoeuvring phase were
obtained through questionnaire surveys. On an
average, about 10 masters witnessed one test. The
totaljudgementsfortheverificationtestswerebased
on assessments from over 3200 persons for each
manoeuvringphase.
Table3.Shipsforwhichtestwereconductedbyfullmission
typeshiphandlingsimulator
_______________________________________________
Tank Tank Loa Lpp B
2
 Draft Draft Axis
4
Cap.
1
TypeLoad Ballst
3
_______________________________________________
147K
5
Moss 289m 277m4 9m 11.8m 9.4m 1
154K Moss 288m 277m 43m 11.5m 9.4m 1
155K CCM
6
288m 275m 49m 11.6m 9.5m 1
177K Moss 300m 287m 52m 11.5m 9.5m 1
170K Mem
7
291m 279m 45m 11.5m 9.7m 1
180K CCM 298m 293m 49m 11.5m 9.8m 2
217K Mem 315m 302m 50m 12.0m 9.5m 2
266K Mem 345m 332m 54m 12.0m 9.6m 2
_______________________________________________
1
Cap: Capacity
2
B: Breadth
3
Ballst:Ballast
4
Axis: NumberofPropellers
5
K:Thousand
6
CCM:ContinuousCoveredMoss
7
Mem:Membrane
Fig. 4 shows the fullmission type shiphandling
simulator used in the tests. Fig. 6 is the computer
graphicsgeneratedimageof atypicalshipsubjected
totests.
Figure4. JMS fullmission type shiphandling simulator
(360°screenwithvisibilityinthedownwarddirection)used
inthetests.
Figure5. Computer graphicsgenerated image of LNG
carrier used in the manoeuvring simulation tests (217K
Membrane)
Berthing and sailing tests included manoeuvring
forapproach;thefivephasesshowninTable4were
consideredasthemanoeuvringphasesforthesurvey
questionnaire to be responded to by the masters
presentandtheshipoperators.
A fivestage judgement was made with the
assessment divided into five judgement categories
shown in Table 5 for each of the five manoeuvring
phasesforwhichthequestionnairesurveywasgiven
to the pilots performing and the masters witnessing
themanoeuvres.
Table4.Manoeuvringphases
_______________________________________________
BerthingManoeuvre SailingManoeuvre
_______________________________________________
Coursekeepingphase Lateralshiftingphase
Coursealteringphase Standstillturningphasere
Speedreducingphase  Coursechangephase
Standstillturningphase Coursekeepingphase
Lateralshiftingphase
_______________________________________________
Table5 Control Margin level of subjective judgement on
manoeuvringsensedbytheshipoperatorsandthepersons
witnessingthemanoeuvres
_______________________________________________
Assessment ControlMarginlevelofsubjectivejudgement
category
_______________________________________________
5Adequatemarginremains Acceptable
4Marginexistsmarginlevel
3Allowablemarginlevel
2MargindoesnotexistUnacceptable
1Nomarginmarginlevel
_______________________________________________
4 OBJECTIVEMANOEUVRINGCRITERIAOF
SAFETYASESSMENTINSHALLOWWATER
Motion conditions of manoeuvring phases from the
simulation test results introduced in the previous
section and the responses of subjective judgement
from ship operators were analyzed. Not only
simulationtestresults,butalsointerviewswithpilots
andmasterswereconducted
duringthe15onboard
studies introduced in “Sec. 2.2 Verification of
manoeuvring mathematical model in shallow water
byboardingandstudyingships”werealsoanalyzed.
405
Figure6.Exampleofsailingmanoeuvretrackchart
Figure7.Exampleofberthingmanoeuvretrackchart
Thecriteriaanalyzedherearebasedmainlyonthe
testresultsofLNGcarriersofoveralllengthof300m
approximately; however, the results may be applied
toothershiptypesofalmostequivalentclass.
Fig. 6 and Fig. 7 show the manoeuvring phases
and typical track charts according to the
ship
handlingsimulatortest.
4.1 Coursekeepingphase
Drift angle, lateral (shift) speed, deviation from
planned course may be considered as motion
conditions expressing the coursekeeping phase,
whilemainenginerpm,shipspeedandrudderangle
may be considered as control variables. Since it has
been reported that the
ease/difficulty of manoeuvre
feltby the shipoperator has a high correlation with
the drift angle, the drift angle in the slow ahead
condition(about8knotsspeedthroughthewater)is
considered the typical phase for coursekeeping
manoeuvre.
Fig. 8 shows the relationshipbetween drift angle
in the course
keeping phase and the subjective
judgmentoftheship operatorsfor LNGcarrier. The
subjectivejudgmenthasbeenplottedinthefigureas
theaveragevalueofabout10assessorsforeachtest.(
represent the results of interview related to the
degree of margin in onboard studies of
fullscale
ships)
As clarified in the tank test results (Table 2) in
Section 2, LNG ships show the trend of improved
coursekeeping ability in shallow water. Generally,
thewindreceivingareaandwindeffectsarelargein
LNGcarriers; however, althoughthe coursekeeping
manoeuvring tests shown in
Fig. 8 include many
cases of wind speed exceeding 10 m/sec, there were
onlyafewassessedcasesinwhichthecontrolmargin
wassmall.
Figure8. Relationship between drift angle in the course
keeping phase and the subjective judgment of the ship
operatorsforLNGcarrier
From these results, it can be observed that the
averagevalueofsubjectivejudgementis2(marginis
small) when the drift angle exceeds 8 degrees. The
criterion for manoeuvrability in shallow water may
therefore be considered as acceptable within a drift
angleof8degreesintheslowaheadcondition
ofthe
mainengine.
4.2 Coursealteringphase
Turnrateanddeviationfromplannedcoursemaybe
considered as motion conditions expressing the
coursealtering phase, while main engine rpm, ship
speedandrudderanglemaybeconsideredascontrol
variables. Among these variables, the ship operator
can sense the
rudder effect only from the turn rate.
Fig.9showstherelationshipbetweenturnrateinthe
coursealteringphaseandthesubjectivejudgmentof
theshipoperatorsforLNGcarrier.
406
Figure9. Relationship between turn rate in the course
altering phase and the subjective judgment of the ship
operatorsforLNGcarrier
The subjective judgment has been plotted in the
figureastheaveragevalueofabout10assessors for
each test. At a turn rate of 5 degrees/minute, the
averagevalueofsubjectivejudgementislessthan2.5
(smallcontrolmargin).However,attheturnrateof8
degrees/minute, the average value
of subjective
judgementisgreaterthan3(acceptablemarginlevel).
The coursealtering phase mentioned here refers to
coursealtering manoeuvre using main engine and
rudderonlyofone’sownship.
4.3 Lateralshiftingphase
The lateral shift speed during sailing using tugboat,
etc.,istakenastheindexof
lateralshift manoeuvre.
For manoeuvring with the control target of lateral
shift speed as 10 m/sec. or less at the final stage of
berthing,itisdifficulttomakethislateralshiftspeed
the index of control margin. The method of
unberthingtoexpresscontrolmarginastheindexof
lateral
shift speed is appropriate. Fig. 10 shows the
relationship between maximum lateral shift speed
andthesubjectivejudgementvalueofcontrolmargin
in the lateralshift phase during unberthing. Fig. 11
showstherelationshipbetweenthelateralshiftspeed
and the subjective judgement value three minutes
afterthestartof
thelateralshift.Shipoperatorswho
performsailingmanoeuvresslowlyaremany,andso
are ship operators who feel that it may be allowed
evenif thelateralshiftspeeddoes notincreaseafter
threeminuteshaveelapsed.Finally,ifthelateralshift
speedreaches20cm/sec.,thestatewhenthe
allowable
control level is sensed can be understood. In other
words, to ensure control margin against external
forces such as wind and tidal current, provision of
tugsorthrustersmaybenecessaryifthelateralshift
speedincreasesabove20cm/sec.
Figure10. Relationship between maximum lateral shift
speedandthesubjectivejudgementvalueofcontrolmargin
Figure11.Relationshipbetweenthelateralshiftspeedand
the subjective judgement value of control margin three
minutesafterthestartofthelateralshift
4.4 Speedreducingphase
Fig. 12 shows the relationship between speed
reduction(knots/min.) during reduced speed
manoeuvringandsubjectivevalueofcontrolmargin.
Itcanbeobservedthatifthespeedcanbereducedby
morethan0.2knots/min.,theshipoperatorcansense
theacceptablemarginlevel.Forthesetests,
themain
engineoftheshipandtugswereusedasthespeed
reducingmeans.
Figure12. Relationship between the speed reduction
(knots/min.)andthesubjectivevalueofcontrolmargin
4.5 Standstillturningphase
Fig.13showstherelationshipbetweenturnrateand
subjective value of control margin in the standstill
turning phase using tugboat. In many of the tests
standstill turning occurred after unberthing, and
althoughmanytestcaseswereatwindspeedsbelow
407
15 m/sec., turning could be carried out within a
turning area of twice the overall length in all the
cases. Moreover, the turn rate was greater than 10
degrees/sec. and the subjective value of control
marginwasalsoattheacceptablelevel.
Figure13. Relationship between turn rate and subjective
valueofcontrolmargininthestandstillturningphaseusing
tugboat
5 CONCLUSIONS
Conclusionsofthisreportaresummarizedbelow.
1 Theimportanceofverifyingmanoeuvring
mathematical models in shallow water was
pointed out for the safety assessment of
manoeuvring in port using shiphandling
simulator.
2 Instances of verification of manoeuvring
mathematical models after conducting tank tests
were introduced for verifying
the manoeuvring
simulationmathematicalmodelsinshallowwater.
Measurements of motion conditions in shallow
water with fullscale ships for fifteen times and
instancesofverificationofmathematicalmodelsof
simulatorwereintroduced.
Differing instances of manoeuvring performance
werefoundbecauseofthedifferences inL/Band
aft hull shapes
even for almost the same length
(Lpp) from the results of tank tests in shallow
water. For twinscrew ships with the hull forms
introduced earlier, it was confirmed that when
H/d became 1.2, the tactical diameter increased
relativelyandcoursekeepingabilityimproved.
3 Safetyassessmenttestswerecarriedout
withfull
mission type shiphandling simulator using
manoeuvring mathematical model in shallow
wateronseveralLNGcarriers,thereproducibility
of which was already verified. The test cases
amountedto325.
4 Thefindingsofacceptablecriteriainshallowwater
obtained from the results of 325 cases of ship
handling
simulationtestsandtheresultsofmotion
conditionmeasurementsoffullscaleshipscarried
out 15 times are as given below. Assessment of
shiphandlingsimulationtestswasmadefromthe
resultsassessedbyabout10mastersandpilotsper
case. Criteria have been formulated according to
theperceptions ofmore
than 3200masters, pilots
andshipoperators.
Acceptablemanoeuvringcriteria
Coursekeepingphase:
Drift angle under 8 degrees in the main engine
slowaheadcondition
Coursealteringphase:
Turnrategreaterthan8degrees/min.inthemain
engineslowaheadcondition
Lateralshiftingphase:
Lateralshiftspeed
greaterthan20cm/sec.atstart
Speedreducingphase:
Greaterthan0.2knots/min.
Standstillturningphase:
Turnrategreaterthan10degrees/min.
ACKNOWLEFGMENTS
This research is a compilation of the findings of
studies and tests continuously implemented over
manyyearsbyateamconsisting oflargenumberof
staff
members led by the author in the company
presentlyemployed.
Theauthorisgratefultothecooperationgivenby
allconcernedpersonnel.
Theauthorwouldlike toexpresshisgratitude to
concernedstaffmembersandotherrelatedpersonnel.
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Validation of ship manoeuvring in shallow water
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th
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Quadvlieg, F.H.H.A. & Coevorden, P. van. 2003.
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