Prepared by : FAChecked by : DA Bollard Pull Calculation CALM Condition

Ship Yard to Integration Yard (Korea to Batam)

INPEX Masela FLNG

A. INPUT kN 1000.newton:= kip 1000 lb⋅≡ knot 0.5144msec

⋅≡

1. Barge Particulars :

Length L 381.4 m⋅:= Wetted surface area S 31384m2⋅:=

Beam B 64 m⋅:= Windage Area above Deck Ac 5000 m2⋅:=

Depth D 38 m⋅:= Hull roughness coeff. Ca 0.0004:=0.0004recommended( )Draft (mean) d 11 m⋅:=

Ap 5:=Barge displacement Δ 259361 tonne⋅:= Appendage allowance(%)

Tow speed Vt 5 knot⋅:= No. of days out of dry dock Dk 0:=

2. Environment :

Current speed Vc 0.5msec

⋅:= Kinematic viscosity ν 1.279 10 5−⋅ ft2⋅ sec 1−

⋅:=

Wind velocity Vw 10msec

⋅:= Water density ρ 1.025 tonne⋅ m 3−⋅:=

Significant wave height Hs 2 m⋅:=

B. OUTPUT

1. Barge Resistance :

Resistance of the barge is estimated from the parent barge data published in "Resistance of OffshoreBarges and Required Tug Horsepower" by Graham J. Blight & R.Y.T.Dai, OTC Paper 3320, 1978.

The resistance coefficient curve of the parent barge is as shown below:

Lm 623 ft⋅:= Bm 140 ft⋅:= dm 25.32 ft⋅:= Δm 60962 tonne⋅:= i 1 8..:=

vrli

0.050.100.150.200.250.300.350.40

:= Cti

0.0090330.0068960.0057140.0055450.0057240.0060000.0064410.006896

:=xi vrli

knot

ft⋅:=

0.05 0.094 0.138 0.181 0.225 0.269 0.313 0.356 0.45.5 10 3−×

6 10 3−×

6.5 10 3−×7 10 3−×

7.5 10 3−×

8 10 3−×

8.5 10 3−×

9 10 3−×

9.5 10 3−×

V/Sqr(L)

Tota

l Res

ista

nce

Coe

ffic

ient

Cti

vrli

Net speed, V Vt Vc+:=

file : INPEX Masela FLNG Korea-Batam (Calm).xmcd

Page 1 of 5

Total resistance coefficient for the barge corresponding to the required V/Sq(L) is estimated by linear interpolation and given by

Ctm linterp x Ct, V

Lm, ⎛

⎜⎝

⎞⎟⎠

:=

Ctm 5.686 10 3−×= _total resistance coefficient for parent barge

1.1 Correction for Lenght -Breadth ratio:

lbvl

2.2

2.3

3.0

4.0

5.0

6.0

7.0

0.0

0.3

0.4

0.5

0.6

0.7

0.8

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

:= crz

1.70

1.70

1.50

1.35

1.40

1.55

1.85

1.70

1.70

1.50

1.35

1.40

1.55

1.85

1.95

1.95

1.80

1.50

1.45

1.51

1.70

1.90

1.90

1.70

1.40

1.35

1.40

1.55

2.55

2.25

2.20

1.95

1.85

1.88

2.00

3.45

3.45

3.15

2.85

2.60

2.52

2.54

3.45

3.45

3.15

2.85

2.60

2.52

2.54

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

:=

sp lspline lbvl crz, ( ):=

L/B and v/ Ldata

Residual resistance coefficients

L/B, V/sql(L), Cr data

crz

vlmV

Lm

ft0.5

knot⋅:= LBm

LmBm

:= vlbV

L

ft0.5

knot⋅:= LBb

LB

:=

vlm 0.239= LBm 4.45= vlb 0.169= LBb 5.959=

vm

LBm

vlm

⎛⎜⎝

⎞⎟⎠

:= vb

LBb

vlb

⎛⎜⎝

⎞⎟⎠

:=

Crlbminterp sp lbvl, crz, vm, ( )

1000:= Crlbb

interp sp lbvl, crz, vb, ( )1000

:=

dCrlbb Crlbb Crlbm−:= dCrlbb 2.325 10 4−×=

file : INPEX Masela FLNG Korea-Batam (Calm).xmcd

Page 2 of 5

1.2 Correction for Breadth - Draft ratio:

bdvl

1.9

2.0

3.0

4.0

5.0

6.0

15.0

0.0

0.3

0.4

0.5

0.6

0.7

0.8

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

:= crz

2.70

2.70

2.10

1.75

1.40

1.20

1.10

2.70

2.70

2.10

1.75

1.40

1.20

1.10

2.30

2.30

1.65

1.23

0.91

0.75

0.60

3.45

3.45

2.30

1.80

1.40

1.12

0.95

4.12

4.12

3.00

2.25

1.80

1.50

1.35

5.20

5.20

3.75

2.95

2.45

2.15

1.90

5.20

5.20

3.75

2.95

2.45

2.15

1.90

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

:=

sp lspline bdvl crz, ( ):=

B/d and v/ Ldata

Residual resistance coefficients

crz

BdmBmdm

:= Bdm 5.529= BdbBd

:= Bdb 5.818=

vm

Bdm

vlm

⎛⎜⎝

⎞⎟⎠

:= vb

Bdb

vlb

⎛⎜⎝

⎞⎟⎠

:=

Crbdminterp sp bdvl, crz, vm, ( )

1000:= Crbdb

interp sp bdvl, crz, vb, ( )1000

:=

dCrbdb Crbdb Crbdm−:= dCrbdb 2.003 10 5−×=

1.3 Correction for Cv ratio:

cvvl

3.0

4.0

6.0

8.0

10.0

12.0

14.0

0.0

0.3

0.4

0.5

0.6

0.7

0.8

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

:= crz

0.40

0.48

0.78

1.45

2.30

3.55

5.25

0.40

0.48

0.78

1.45

2.30

3.55

5.25

0.30

0.35

0.65

1.18

2.00

3.00

4.60

0.18

0.21

0.50

1.05

1.95

3.00

4.80

0.78

0.18

1.20

1.80

2.70

3.95

5.80

1.35

1.55

2.30

3.30

4.60

6.50

9.10

1.35

1.35

2.30

3.30

4.60

6.50

9.10

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

:=

sp lspline cvvl crz, ( ):=

file : INPEX Masela FLNG Korea-Batam (Calm).xmcd

Page 3 of 5

crz

Cvm1000 35⋅ ft3⋅ tonne 1−

⋅ Δm⋅

Lm3:= Cvb

1000 35⋅ ft3⋅ tonne 1−⋅ Δ⋅

L3:=

vm

Cvm

vlm

⎛⎜⎝

⎞⎟⎠

:= vb

Cvb

vlb

⎛⎜⎝

⎞⎟⎠

:=

Crvminterp sp cvvl, crz, vm, ( )

1000:= Crvb

interp sp cvvl, crz, vb, ( )1000

:=

dCrvb Crvb Crvm−:= dCrvb 1.264− 10 3−×=

1.4 Frictional Coefficient (ITTC):

Cfm0.075

log VLmν

⋅⎛⎜⎝

⎞⎟⎠

2−⎛⎜⎝

⎞⎟⎠

2:= Cfb

0.075

log VLν

⋅⎛⎜⎝

⎞⎟⎠

2−⎛⎜⎝

⎞⎟⎠

2:=

Cfm 1.675 10 3−×= Cfb 1.533 10 3−

×=

1.5 Total Resistance Coefficient:

Ctb Cfb 1.0 Dk1.0100

⋅+⎛⎜⎝

⎞⎟⎠

⋅ Ctm+ Cfm− dCrlbb+ dCrbdb+ dCrvb+ Ca+:= _total barge resistancecoefficient

Fouling− assumed to increase by1%of the frictional resistance per day

Ctb 4.932 10 3−×=

Rb Ctb 0.5⋅ ρ⋅ S⋅ V2⋅:=

Rb 748.702 kN⋅= _total barge resistance

file : INPEX Masela FLNG Korea-Batam (Calm).xmcd

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2. Wind Resistance :

Barge Hull transv. projected area Ab B D d−( )⋅:=

Ab 1.728 103× m2

⋅=

Windage Area above Deck Ac 5 103

× m2⋅=

Wind coefficient, Cwind 0.00338lb

knot2 ft2⋅⋅:=

Wind resistance, Rwind g Cwind⋅ Ac Ab+( )⋅ Vw Vt+( )2⋅:= Rwind 650.378 kN⋅=

3. Wave Resistance :

Based on DnV 96 : Rules for Planning and Execution of Marine Operations,Refer section 3.3 :

f1 1.0m:= f2 1000newton

m3⋅:= _coefficients

Rwavdnv Hs2 B

L⋅ 0.52 L⋅ 13 f1⋅−( )⋅ f2⋅:= _wave drift force for a box shaped barge

Rwave Rwavdnv:=

Rwave 124.394 kN⋅=

4. Total Resistance :

Rb 748.702 kN⋅= _barge resistance

Rwind 650.378 kN⋅= _wind resistance

Rwave 124.394 kN⋅= _wave resistance

Rsum Rb Rwave+( ) 1Ap100

+⎛⎜⎝

⎞⎟⎠

⋅ Rwind+:=

RtotalRsum

g:= _total resistance

Rtotal 160 tonne⋅=

5. Tug Bollard Pull :

η 0.80:= _tug efficiency

BPRtotal

η:= _required tug bollard pull BP 200 tonne⋅=

file : INPEX Masela FLNG Korea-Batam (Calm).xmcd

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